mcaa

8/13/2019 MCAA

http://slidepdf.com/reader/full/mcaa 1/517

DATOS:

PERFIL DE MONORIEL:

PARAMETROS DE DISEÑO

Fy= 36000 ksi

LONGITUD DE VIGA (L)= 3.0943 ft

CLARO SIN REFUERZO (Lb)= 3.0943 ft

COEFICIENTE PANDEO Cb= 1.00LONGITUD EXCEDENTE, LO= 0.1524 ft

Unbraced Length, Lbo = ft

COEFICIOENTE DE FLEXION, Cbo =

PESO DE CARGA, P = kips

PESO DE TROLE, Wt = kips

PESO GRUA, Wh = kips

FACTOR DE IMPACTO VERTICAL, Vi = %

FACTOR HORIZONTAL DE CARGA, HLF = %

NUMERO TOTAL DE LLANTAS, Nw =

ESPACIO ENTRE LLANTAS, S = ft

Distance on Flange, a = in

A= 19.1 cm2 d/Af = 0.385

d= 200 mm Ix = 1282

tw = 4.3 mm Sx = 128

bf = 100 mm Iy = 87

tf = 5.2 mm Sy = 17k= 16 mm J = 3.85

rt = 2.5 cm Cw = 3.85

203 x 15.0 PROPIEDADES DE PERFIL SISTEMA SI

203 x 15.0

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tapered flange section

CX0 = 0 -1.096 + 1.095 λ + 0.192e-6.0 λ

CX1 = 3.965 - 4.835 λ - 3.965e-2.675 λ

CY0 = 0 -0.981 - 1.479 λ + 1.120e1.322 λ

CY1 = 1.810 - 1.150 λ + 1.060e-7.70 λ

ta = tf - [b/24] + [a/6]

seccion simetrica

λ = 2a / (b - tw/2)

b = bf

calculos

a = in DISTANCIA ENTRE BORDE DE P

b= 100 in

tw= 4.3 in

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A= 2.961 in2 d/Af = 9.769

cm4 d= 7.874 in Ix = 30.800

cm3 tw = 0.169 in Sx = 7.811

cm4 bf = 3.937 in Iy = 2.090

cm3 tf = 0.205 in Sy = 1.037cm4 k= 0.630 in J = 0.092

cm6 rt = 0.984 in Cw = #N/A

203 x 15.0 PROPIEDADES DE PERFIL SISTEMA INGLES

ANALISIS DE VIGA MONORIEL

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TIN AL PUNTO DE ACCION DE LA RUEDA DEL POLIPASTO

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CASO 1: GRU

CASO 2: GRU

CASO 3: CARG

tapered flang

parallel flang

seccion simet

otros casos

33

W8x10 10 36

50

24

in4

in3

in4

in3

in4

in6

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Is

Is b/t<=

Is b/t>

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DL (DLFB) + TL (DLFT) + LL (1 +HLF) + IFD

DL (DLFB) + TL (DLFT) + LL (1 +HLF) + IFD +WLO + SK

DL + TL + WLS

0 -1.096 + 1.0 3.965 - 4.835 λ 0 -0.981 - 1.4 1.810 - 1.150 tf - [b/24] + [a/6]

0 -2.110 + 1.9 10.108 - 7.408 0 -0.050 - 0.582.230 - 1.49 λ + 1.390e-18.33 λ

2a / (b - tw/2) bf IRa / (b´ - tw/2) distancia de centro al borde del patin PERFIL RECTANGULAR

Instituto Mexicano de la C

CALCULATIONS:

Parameters and Coefficients:

w = 8x10 plf unit weight/foot of beam

Pv = 7.400 kips Pv = P*(1+Vi/100)+Wt+Wh ( mm x kg/m in. x lb/ft.

Pw = 1.850 kips/wheel Pw = Pv/Nw (load per trolley wheel)Ph = 0.600 kips Ph = HLF*P (horizontal load 102 x 19.4 4x13

ta = 0.205 in. ta = tf (for W-shape)

l = 0.199 l = 2*a/(bf-tw) 127 x 23.7 5x16

Cxo = -1.689 Cxo = -2.110+1.977*l+0.00 127 x 28.1 5x19

Cx1 = 0.928 Cx1 = 10.108-7.408*l-10.108*e^(-1.364*l)

Czo = 0.204 Czo = 0.050-0.580*l+0.148 152 x 13.6 6x9

Cz1 = 1.970 Cz1 = 2.230-1.490*l+1.390 152 x 18.0 6x12

Section Ratios and Parameters: 152 x 24.0 6x16bf/(2*tf) = 9.61

d/tw = 46.41 152 x 22.4 6x15

Qs = 1 000 152 x 29 7 6x20

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Lc = 4.16 ft. Lc = Min. of: (76*bf/SQRT(F 203 x 86.6 8x58

Lu = 4.74 ft. Lu = Max. of: (20000/(d/Af* 203 x 99.8 8x67

Lb/rt = 206.06 Lb/rt = Lb*12/rt

fa/Fy = 0.000 fa/Fy = 0, as P(axial) is assu 254 x 17.9 10x12

Is Lb<=Lc? No 254 x 22.3 10x15

d/tw<=allow? Yes 254 x 25.3 10x17

5/SQRT(Fy)? Yes 254 x 28.5 10x19

5/SQRT(Fy)? No

Fbx = N.A. Eqn. F1-1 Fbx = 0.66*Fy 254 x 32.9 10x22

Fbx = N.A. Eqn. F1-3 Fbx = Fy*(0.79-0.002*bf/(2*t 254 x 38.5 10x26

Fbx = N.A. Eqn. F1-5 Fbx = 0.60*Fy 254 x 44.8 10x30Fbx = N.A. Eqn. F1-6 Fbx = (2/3-Fy*(Lb*12/rt)̂ 2/(1530000*Cb)*Fy <= 0.60*Fy

Fbx = 4.00 Eqn. F1-7 Fbx = 170000*Cb/(Lb*12/rt)^254 x 49.2 10x33

Fbx = 6.02 Eqn. F1-8 Fbx = 12000*Cb/(Lb*12/(d/A 254 x 58.2 10x39

Fbx = 6.02 Select from F1-6, F1-7, & F1-8 254 x 67.4 10x45

Use: Fbx = 6.02 ksi

Y-axis Stresses for Simple-Span: 254 x 72.9 10x49

fby = 27.61 ksi fby = My/Sy 254 x 80.0 10x54

fwns = 12.37 ksi fwns = Mt*12/(Sy/2) (warpin 254 x 89.1 10x60fby(total) = 39.98 ksi fby(total) = fby+fwns 254 x 101.3 10x68

Fby = 27.00 ksi Fby = 0.75*Fy 254 x 114.5 10x77

Combined Stress Ratio for Simple-Span: 254 x 131.2 10x88

S.R. = 9.156 S.R. = fbx/Fbx+fby(total)/Fb 254 x 148.9 10x100

Vertical Deflection for Simple-Span: 254 x 166.6 10x112

Pv = 6.500 kips Pv = P+Wh+Wt (without vertical impact)

D(max) = 1 .3044 in. D(max) = Pv/2*(L-S)/2/( 305 x 21.1 12x14

D(ratio) = L/156 D(ratio) = L*12/D(max) 305 x 23.9 12x16

D(allow) = 0 .4533 in. D(allow) = L*12/450 305 x 28.2 12x19

Bending Moments for Overhang: 305 x 32.8 12x22

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Fbx = N.A. Eqn. F1-5 Fbx = 0.60*Fy 305 x 178.8 12 x 120

Fbx = N.A. Eqn. F1-6 Fbx = (2/3-Fy*(Lbo*12/rt)^2/( 305 x 202.1 12 x 136

Fbx = 8.75 Eqn. F1-7 Fbx = 170000*Cbo/(Lbo*12/ 305 x 226.4 12 x 152

Fbx = 8.90 Eqn. F1-8 Fbx = 12000*Cbo/(Lbo*12/( 305 x 253.2 12 x 170

Fbx = 8.90 Select from F1-6, F1-7, & F1-8 305 x 282.6 12 x 190

Use: Fbx = 8.90 ksi 305 x 313.0 12 x 210

Y-axis Stresses for Overhang: 305 x 342.9 12 x 230

fby = 17.83 ksi fby = My/Sy 305 x 375.3 12 x 252

fwns = 25.18 ksi fwns = Mt*12/(Sy/2) (warpin 305 x 414.3 12 x 279

fby(total) = 43.01 ksi fby(total) = fby+fwns 305 x 453.8 12 x 305

Fby = 27.00 ksi Fby = 0.75*Fy 305 x 500.1 12 x 336

Combined Stress Ratio for Overhang:S.R. = 4.954 S.R. = fbx/Fbx+fby(total)/Fb 356 X 32.9 14 X 22

Vertical Deflection for Overhang: (assuming full design load, 356 X 38.9 14 X 26


D(max) = 0 .7443 in. D(max) = Pv*Lo^2*(L+L 356 X 44.8 14 X 30

D(ratio) = L/48 D(ratio) = Lo*12/D(max) 356 X 50.6 14 X 34

D(allow) = 0 .0800 in. D(allow) = Lo*12/450 356 X 56.7 14 X 38

Notes: Values of "L", "Lo", & "S" in equation above for D(

Bottom Flange Local Bending (simplified): 356 X 63.8 14 X 43

be = 2.460 in. Min. of: be = 12*tf or S*12 ( 356 X 71.4 14 X 48

tf2 = 0.205 in. tf2 = tf (for W-shape) 356 X 79.0 14 X 53

am = 1.585 in. am = (bf/2-tw/2)-(k-tf) (where: k-tf = radius of fil let)

Mf = 2.932 in.-kips Mf = Pw*am 356 X 90.7 14 X 61

Sf = 0.017 in.^3 Sf = be*tf^2/6 356 X 101.3 14 X 68

fb = 170.18 ksi fb = Mf/Sf 356 X 110.4 14 X 74

Fb = 27.00 ksi Fb = 0.75*Fy 356 X 122.1 14 X 82

Bottom Flange Bending per CMAA Specification No. 74 (2004): 356 X 134.2 14 X 90

Local Flange Bending Stress @ Point 0: 356 X 147.4 14 X 99

sxo = -74.34 ksi sxo = Cxo*Pw/ta^2 356 X 162.1 14 X 109

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sz = 67.08 ksi sz = fbx+fby+0.75*sz2 356 X 678.6 14 X 455

sx = 55.76 ksi sx = 0.75*sx2 356 X 744.5 14 X 400

txz = 0.00 ksi txz = 0 (assumed negligible 356 X 820.4 14 X 550

st2 = 62.20 ksi st2 = SQRT(sx^2+sz^2-sx* 356 X 901.5 14 X 605

356 X 992.6 14 X 665

356 X 1088. 14 X 730

406 X 38.9 16 X 26

406 X 46.2 16 X 31

406 X 53.7 16 X 36

406 X 59.8 16 X 40406 X 67.4 16 X 45

406 X 74.4 16 X 50

406 X 83.1 16 X 57

406 X 99.8 16 X 67

406 X 114.5 16 X 77

406 X 132.7 16 X 89

406 X 148.9 16 X 100

457 X 52.2 18 X 35

457 X 59.8 18 X 40

457 X 68.4 18 X 46

457 X 74.3 18 X 50

457 X 82.0 18 X 55

457 X 89.1 18 X 60

457 X 96.7 18 X 65

457 X 105.3 18 X 71

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533 X 165.6 21 X 111

533 X 181.8 21 X 122

533 X 196.5 21 X 132

533 X 218.8 21 X 147

610 X 82.0 24 X 55

610 X 92.2 24 X 62

610 X 101.6 24 X 68

610 X 113.4 24 X 76

610 X 125.1 24 X 84

610 X 140.3 24 X 94

610 X 155.0 24 X 104

610 X 174.2 24 X 117

610 X 195.0 24 X 131

610 X 217.8 24 X 146

610 X 241.6 24 X 162

686 X 125.6 27 X 84

686 X 140.3 27 X 94

686 X 151.9 27 X 102

686 X 169.7 27 X 114

686 X 217.3 27 X 146

686 X 240.1 27 X 161

686 X 264.9 27 X 178

762 X 147.4 30 X 99

762 X 160.5 30 X 108

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nstrucción en Acero, A.C. 2a Edición

Peralte Alma Patín Distancia

d tw bf tf T k k1

mm mm mm mm mm mm mm

106 7.1 103 8.8 71 17 11

127 6.1 127 9.1 89 19 11

131 6.9 128 10.9 90 21 11

150 4.3 100 5.5 121 14 10

153 5.8 102 7.1 121 16 10

160 6.6 102 10.3 121 19 11

152 5.8 152 6.6 120 16 10

157 6 6 153 9 3 119 19 11

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222 13 209 20.6 156 33 17

229 14.5 210 23.7 156 37 17

251 4.8 101 5.3 219 16 11254 5.8 102 6.9 219 17 11

257 6.1 102 8.4 219 19 13

260 6.4 102 10 219 21 13

258 6.1 146 9.1 220 19 13

262 6.6 147 11.2 218 22 13

266 7.6 148 13 218 24 13

247 7.4 202 11 193 27 17

252 8 203 13.5 195 29 17

257 8.9 202 16 193 32 17

253 8.6 254 14.2 193 30 17

256 9.4 255 15.6 193 32 17

260 10.7 256 17.3 193 33 19264 11.9 257 19.6 194 35 19

269 13.5 259 22.1 193 38 21

275 15.4 261 25.1 193 41 21

282 17.3 263 28.4 193 44 22

289 19.2 265 31.8 193 48 24

303 5 101 5.7 268 17 13

305 5.6 101 6.7 266 19 13

309 6 102 8.9 268 21 13

313 6.6 102 10.8 268 22 13

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333 18 312 28.1 241 46 25

341 20.1 315 31.8 242 49 25

348 22.1 317 35.6 240 54 27

356 24.4 319 39.6 242 57 29

365 26.9 322 44.1 241 62 30

374 30 325 48.3 240 67 32

382 32.6 328 52.6 243 70 32

391 35.4 330 57.2 242 75 33

103 38.9 334 62.7 241 81 35

415 41.3 336 68.7 240 87 37

427 45.1 340 75.1 240 94 38

349 5.8 127 8.5 305 22 14

353 6.4 128 10.7 306 24 14

352 6.9 171 9.8 304 24 16

355 7.2 171 11.6 304 25 16

358 7.9 172 13.1 304 27 16

ax) are multiplied by 12.

347 7.8 203 13.5 280 33 22350 8.6 204 15.1 280 35 22

354 9.4 205 16.8 281 37 24

353 9.5 254 16.4 280 37 24

357 10.5 255 18.3 280 38 24

360 11.4 256 19.9 281 40 24

363 13 257 21.7 281 41 25

356 11.2 369 18.0 286 35 22

360 12.3 370 19.8 287 37 22

364 13.3 371 21.8 284 40 22

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783 51.2 428 81.5 286 98 41

498 55.6 432 88.9 285 106 44

514 60.5 437 97.0 285 114 46

531 65.9 442 106.0 287 122 49

550 71.9 448 115.0 286 131 52

569 78.0 454 125.0 287 141 56

399 6.4 140 8.8 345 27 19

403 7.0 140 11.2 346 29 19

403 7.5 177 10.9 346 29 19

407 7.8 178 12.8 346 30 21410 8.8 179 14.4 346 32 21

413 9.7 180 16.0 346 33 21

417 10.9 181 18.2 347 35 22

415 10.0 260 16.9 348 35 21

420 11.6 261 19.3 346 37 22

425 13.2 263 22.2 347 40 22

431 14.9 265 25.0 345 43 24

450 7.6 152 10.8 392 29 19

453 8.0 153 13.3 394 30 21

459 9.1 154 15.4 395 32 21

457 9.0 190 14.5 393 32 21

460 9.9 191 16.0 393 33 21

463 10.5 192 17.7 393 35 21

466 11.4 193 19.1 393 37 22

469 12.6 194 20.6 393 38 22

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911 15.9 304 23.9 815 48 29

915 16.5 305 25.9 816 49 29

919 17.3 306 27.9 817 51 30

923 18.4 307 30.0 815 54 30

927 19.4 308 32.0 816 56 30

932 21.1 309 34.5 814 59 32

912 19.3 418 32.0 791 60 37

916 20.3 419 34.3 789 64 37

921 21.3 420 36.6 791 65 38

928 22.5 422 39.9 791 68 38

933 24.0 423 42.7 790 71 38

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bf

tf Y

k1

X X

Y

g

Gramil Sujetadores Area r T d / Af

g g1. .

mm mm mm in. cm cm cm -

60 50 12.7 1/2 24.7 2.8 1.17

70 50 19 3/4 32.3 3.5 1.1

70 55 22.2 7/8 35.7 3.5 0.94

60 45 12.7 1/2 17.3 2.6 2.74

60 55 12.7 1/2 22.9 2.7 2.12

60 55 12.7 1/2 30.6 2.7 1.51

90 55 22.2 7/8 28.6 4.1 1.51

90 55 22 2 7/8 37 9 4 2 1 11

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140 70 25.4 1 110.3 5.7 0.52

140 75 25.4 1 127.1 5.8 0.46

60 65 12.7 1/2 22.8 2.4 4.6760 65 12.7 1/2 28.5 2.5 3.64

60 65 12.7 1/2 32.2 2.6 3.01

60 70 12.7 1/2 36.3 2.6 2.54

90 65 19 3/4 41.9 3.8 1.93

90 70 19 3/4 49.1 3.9 1.6

90 70 22.2 7/8 57.0 3.9 1.39

140 65 22.2 7/8 62.6 5.4 1.11

140 75 22.2 7/8 74.2 5.5 0.93

140 80 25.4 1 85.8 5.5 0.8

140 75 28.6 1 1/8 92.9 7 0.7

140 80 28.6 1 1/8 101.9 7 0.64

140 80 28.6 1 1/8 113.6 7 0.59140 80 28.6 1 1/8 129.0 7.1 0.53

140 85 28.6 1 1/8 145.8 7.1 0.47

140 90 28.6 1 1/8 167.1 7.2 0.42

140 90 28.6 1 1/8 189.7 7.2 0.38

140 95 28.6 1 1/8 212.3 7.3 0.34

60 65 12.7 1/2 26.8 2.4 0.25

60 65 12.7 1/2 30.4 2.4 4.46

60 70 12.7 1/2 35.9 2.5 2.42

60 70 12.7 1/2 41.8 2.6 2.83

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140 95 28.6 1 1/8 227.8 8.6 0.38

140 95 28.6 1 1/8 257.4 8.7 0.34

140 100 28.6 1 1/8 288.4 8.7 0.31

140 105 28.6 1 1/8 322.6 8.8 0.28

140 110 28.6 1 1/8 360.0 8.9 0.26

140 115 28.6 1 1/8 398.7 9 0.24

140 115 28.6 1 1/8 436.8 9 0.22

140 120 28.6 1 1/8 478.1 9.1 0.21

140 130 28.6 1 1/8 528.4 9.2 0.19

140 135 28.6 1 1/8 578.1 9.3 0.18

140 140 28.6 1 1/8 637.4 9.4 0.17

70 70 19.0 3/4 41.9 3.2 3.23

70 70 22.2 7/8 49.6 3.3 2.59

90 70 28.6 1 1/8 57.1 4.4 2.10

90 70 28.6 1 1/8 64.5 4.5 1.79

90 75 28.6 1 1/8 72.3 4.5 1.59

140 80 22.2 7/8 81.3 5.4 1.27140 80 25.4 1 91.0 5.4 1.14

140 85 25.4 1 100.7 5.5 1.03

140 85 28.6 1 1/8 115.5 6.9 0.85

140 85 28.6 1 1/8 129.0 6.9 0.77

140 85 28.6 1 1/8 140.7 6.9 0.71

140 90 28.6 1 1/8 155.5 7 0.65

140 80 70.0 7/8 171.0 10.1 0.54

140 85 70.0 7/8 187.8 10.2 0.49

140 85 70.0 7/8 206.5 10.2 0.45

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140 145 28.6 1 1/8 864.6 11.9 0.14

140 155 28.6 1 1/8 948.4 12 0.13

140 160 28.6 1 1/8 1045.2 12.2 0.13

140 170 28.6 1 1/8 1148.5 12.3 0.11

140 170 28.6 1 1/8 1264.6 12.5 0.11

140 190 28.6 1 1/8 1387.2 12.7 0.10

70 75 25.4 1 49.6 3.5 3.26

70 75 25.4 1 58.8 3.5 2.57

90 75 25.4 1 1/8 68.4 4.5 2.08

90 75 25.4 1 1/8 76.1 4.6 1.7890 80 25.4 1 1/8 85.8 4.6 1.60

90 80 25.4 1 1/8 94.8 4.7 1.44

90 80 25.4 1 1/8 108.4 4.7 1.27

140 80 25.4 1 1/8 127.1 7.0 0.95

140 85 25.4 1 1/8 145.8 7.0 0.83

140 85 25.4 1 1/8 169.0 7.1 0.75

140 90 25.4 1 1/8 189.7 7.1 0.65

90 75 22.2 7/8 66.5 3.8 2.73

90 75 22.2 7/8 76.1 3.9 2.23

90 80 25.4 1 87.1 3.9 1.94

90 80 28.6 1 1/8 94.8 4.9 1.66

90 80 28.6 1 1/8 104.5 5.0 1.50

90 80 28.6 1 1/8 113.6 5.0 1.37

90 85 28.6 1 1/8 123.2 5.0 1.27

90 85 28.6 1 1/8 134.2 5.0 1.18

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140 90 28.6 1 1/8 211.0 8.3 0.78

140 90 28.6 1 1/8 231.6 8.4 0.72

140 95 28.6 1 1/8 250.3 8.4 0.67

140 95 28.6 1 1/8 278.7 8.5 0.6

90 80 28.6 1 1/8 104.5 4.3 2.62

90 80 28.6 1 1/8 117.4 4.3 2.25

140 80 28.6 1 1/8 129.7 5.7 1.78

140 85 28.6 1 1/8 144.5 5.8 1.54

140 85 28.6 1 1/8 159.4 5.9 1.37

140 90 28.6 1 1/8 178.7 5.9 1.21

140 85 28.6 1 1/8 167.4 8.5 0.99

140 90 28.6 1 1/8 221.9 8.6 0.87

140 90 28.6 1 1/8 248.4 8.6 0.78

140 95 28.6 1 1/8 277.4 8.7 0.69

140 100 28.6 1 1/8 307.8 8.8 0.62

140 80 28.6 1 1/8 160.0 6.3 1.65140 85 28.6 1 1/8 178.7 6.4 1.42

140 85 28.6 1 1/8 193.6 6.5 1.28

140 90 28.6 1 1/8 216.1 6.6 1.15

140 90 28.6 1 1/8 276.8 9.3 0.79

140 95 28.6 1 1/8 305.8 9.4 0.72

140 95 28.6 1 1/8 387.4 9.4 0.65

140 85 28.6 1 1/8 187.8 6.5 1.67

140 85 28.6 1 1/8 204.5 6.6 1.48

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140 95 28.6 1 1/8 285.2 7.6 1.25

140 95 28.6 1 1/8 303.2 7.7 1.16

140 100 28.6 1 1/8 322.6 7.7 1.08

140 100 28.6 1 1/8 345.8 7.7 1.00

140 105 28.6 1 1/8 367.8 7.8 0.94

140 105 28.6 1 1/8 398.7 7.8 0.87

140 105 28.6 1 1/8 436.2 10.9 0.68

140 110 28.6 1 1/8 465.2 11.0 0.64

140 110 28.6 1 1/8 493.6 11.0 0.60

140 115 28.6 1 1/8 531.6 11.1 0.55

140 120 28.6 1 1/8 569.7 11.2 0.52

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k

k

Eje X - X Eje Y - Y

S r S r

cm cm cm cm cm cm

470 89 4.4 161 31 2.5

887 140 5.4 313 49 3.2

1091 167 5.5 380 60 3.3

683 91 6.3 91 18 2.3

920 120 6.3 124 25 2.3

1336 167 6.6 184 36 2.5

1211 159 6.5 388 51 3.7

1723 220 6 8 554 72 3 8

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9490 852 9.3 3126 300 5.3

11321 990 9.4 3688 351 5.4

2239 179 9.9 91 18 22686 226 10 120 24 2.1

3409 265 10.3 148 29 2.1

4008 308 10.5 176 35 2.2

4912 380 10.8 475 65 3.4

5994 457 11 587 80 3.5

7076 531 11.1 695 94 3.5

7076 574 10.6 1523 151 4.9

8699 690 10.8 1873 185 5

10323 805 11 2223 218 5.1

11321 895 11 3888 306 6.5

12612 983 11.1 4287 338 6.5

14193 1093 11.2 4828 377 6.516400 1240 11.3 5577 433 6.6

18938 1408 11.4 6410 493 6.6

22227 1614 11.5 7451 570 6.7

25931 1835 11.7 8616 655 6.7

29802 2065 11.8 9823 742 6.8

3688 244 11.7 98 20 1.9

4287 280 11.9 117 23 2

5411 349 12.2 157 31 2.1

6493 416 12.5 194 38 2.2

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44537 2671 14 14360 920 8

51613 3048 14.2 16566 1052 8

59521 3425 14.4 18897 1193 8.1

68678 3851 14.6 21519 1349 8.2

78667 4310 14.8 24516 1524 8.3

89073 4785 15 27638 1704 8.3

100728 5260 15.2 30884 1885 8.4

113215 5785 15.4 34464 2081 8.5

129448 6440 15.6 39000 2343 8.6

147762 7128 16 43704 2606 8.7

168990 7915 16.3 49531 2900 8.8

8283 475 14.1 291 46 2.6

10198 578 14.4 371 58 2.7

12112 688 14.6 816 95 3.8

14152 796 14.8 970 113 3.9

16025 895 14.9 1111 129 3.9

17815 1027 14.8 1881 185 4.820187 1152 14.9 2139 210 4.9

22518 1275 15.0 2402 234 4.9

26640 15111 15.2 4454 352 6.2

30093 1688 15.3 5036 397 6.2

33132 1835 15.3 5577 436 6.3

36711 2016 15.4 6160 480 6.3

41581 2343 15.6 15068 818 9.4

46202 2573 15.7 16732 905 9.4

51613 2835 15.8 18605 1003 9.5

8/13/2019 MCAA


299270 12389 18.6 106555 4982 11.1

341725 13732 19.0 119874 5555 11.3

392505 15526 19.4 135275 6194 11.4

449528 17042 19.8 153173 6932 11.6

516125 18845 20.2 173568 7735 11.7

595210 20975 20.8 196460 8636 11.9

12529 629 15.9 399 57 2.8

15609 516 16.3 516 74 3.0

18647 926 16.5 1020 115 3.9

21561 1060 16.8 1203 135 4.024391 1191 16.9 1365 153 4.0

27430 1327 17.0 1548 172 4.0

31550 1511 17.1 1794 198 4.1

39708 1917 17.7 4953 380 6.2

46202 2196 17.8 5744 441 6.3

54110 2540 17.9 6785 515 6.3

62018 2868 18.0 7742 585 6.4

21228 944 17.9 637 84 3.1

25473 1121 18.3 795 104 3.2

29636 1291 18.4 937 122 3.3

33298 1457 18.7 1669 175 4.2

37045 1611 18.8 1869 195 4.2

40957 1770 18.9 2085 218 4.3

44537 1917 19.0 2281 236 4.3

48699 2081 19.1 2510 259 4.3

8/13/2019 MCAA


111133 4080 23.0 11405 729 7.4

123204 4474 23.1 12695 806 7.4

134026 4834 23.2 13860 877 7.4

151091 5391 23.3 15650 985 7.5

56191 1868 23.1 1211 136 3.4

64516 2147 23.4 1436 161 3.5

76170 2524 24.3 2930 257 4.7

87408 2824 24.6 3434 302 4.9

98647 3212 24.9 3929 342 5.0

112382 3638 25.1 4537 393 5.0

129031 4228 25.7 10780 667 7.4

147345 4769 25.7 12362 762 7.5

167324 5391 25.9 14152 869 7.5

190633 6080 26.2 16272 991 7.6

215191 6784 26.4 18439 1121 7.7

118626 3490 27.2 4412 347 5.3136107 3982 27.7 5161 406 5.4

150675 4375 27.9 5786 456 5.5

170238 4900 28.0 6618 516 5.5

234337 6735 29.0 18439 1041 8.2

261392 7456 29.2 20687 1162 8.2

290945 8226 29.5 23100 1291 8.3

166076 4408 29.7 5328 401 5.3

186055 4900 30.2 6077 457 5.5

8/13/2019 MCAA


376272 8259 36.3 11238 739 6.3

405824 8882 36.6 12279 805 6.4

437042 9504 36.8 13319 872 6.4

470400 10209 36.8 14443 944 6.5

503638 10881 37.0 15609 1014 6.5

549424 11782 37.1 17107 1106 6.6

624345 13716 37.8 39126 1868 9.5

670130 14666 38.1 42039 2016 9.5

720078 15617 38.1 45369 2163 9.6

786675 19879 38.4 49950 2360 9.7

844947 18190 38.6 54110 2556 9.7

8/13/2019 MCAA


8/13/2019 MCAA


CALCULATIONS:

33 Parameters and Coefficients:

36 w = 10 plf 50 Pv = 7.400 kips

2 Pw = 1.850 kips/wheel

4 Ph = 0.600 kips

ta = 0.205 in.

l = 0.199

Cxo = -1.689

Cx1 = 0.928

Czo = 0.204

Cz1 = 1.970

Section Ratios and Parameters:

bf/(2*tf) = 9.61

d/tw = 46.41

Qs = 1.000

Support Reactions:

For Lo = 0 (no overhang):

RR(max) = N.A. kips

RL(min) = N.A. kips

For Lo > 0 (with overhang):

RR(max) = 8.660 kips

RL(min) = -1.060 kips

Bending Moments for Simple-Span:

x = 8.313 ft.

Mx = 30.08 ft-kipsMy = 2.44 ft-kips

Lateral Flange Bending Moment from Torsi

e = 3 945 in

8/13/2019 MCAA


Fbx = 6.02 Eqn. F1-8

Fbx = 6.02 Select from F1

Use: Fbx = 6.02 ksi

Y-axis Stresses for Simple-Span:fby = 27.61 ksi

fwns = 12.37 ksi

fby(total) = 39.98 ksi

Fby = 27.00 ksi

Combined Stress Ratio for Simple-Span:

S.R. = 9.156

Vertical Deflection for Simple-Span:

Pv = 6.500 kips

D(max) = 1.3044 in.

D(ratio) = L/156

D(allow) = 0.4533 in.

Bending Moments for Overhang:

Mx = 19.47 ft-kips

My = 1.58 ft-kips

Lateral Flange Bending Moment from Torsie = 3.945 in.

at = 43.338

Mt = 1.11 ft-kips

X-axis Stresses for Overhang:

fbx = 29.92 ksi

Lc = 4.16 ft.

Lu = 4.74 ft.

Lbo/rt = 139.39

fa/Fy = 0.000

Is Lbo<=Lc? No

8/13/2019 MCAA


Vertical Deflection for Overhang:

Pv = 6.500 kips

D(max) = 0.7443 in.

D(ratio) = L/48

D(allow) = 0.0800 in.

Bottom Flange Local Bending (simplified):

be = 2.460 in.

tf2 = 0.205 in.

am = 1.585 in.

Mf = 2.932 in.-kips

Sf = 0.017 in.^3

fb = 170.18 ksi

Fb = 27.00 ksi

Bottom Flange Bending per CMAA Specific

Local Flange Bending Stress @ Point 0:

sxo = -74.34 ksi

szo = 8.99 ksi


sx1 = 40.87 ksisz1 = 86.71 ksi


sx2 = 74.34 ksi

sz2 = -8.99 ksi

Resultant Biaxial Stress @ Point 0:

sz = 80.57 ksi

sx = -55.76 ksi

txz = 0.00 ksi

sto = 118.71 ksi


8/13/2019 MCAA


8/13/2019 MCAA


unit weight/foot of beamPv = P*(1+Vi/100)+Wt+Wh (vertical load)

Pw = Pv/Nw (load per trolley wheel)

Ph = HLF*P (horizontal load)

ta = tf (for W-shape)

l = 2*a/(bf-tw)

Cxo = -2.110+1.977*l+0.0076*e^(6.53*l)

Cx1 = 10.108-7.408*l-10.108*e^(-1.364*l)

Czo = 0.050-0.580*l+0.148*e^(3.015*l)Cz1 = 2.230-1.490*l+1.390*e^(-18.33*l)

RR(max) = N.A.

RL(min) = N.A.

RR(max) = Pv*(L+(Lo-S/2))/L+w/1000/(2*L)*(L+Lo)^2

RL(min) = -Pv*(Lo-S/2)/L+w/1000/(2*L)*(L^2-Lo^2)

x = 1/2*(L-S/2) (location of max. moments from left end of simple-span)

Mx = (Pv/2)/(2*L)*(L-S/2)^2+w/1000*x/2*(L-x)My = (Ph/2)/(2*L)*(L-S/2)^2

on for Simple-Span: (per USS Steel Design Manual, 1981)

e = d/2 (assume horiz load taken at bot flange)

8/13/2019 MCAA


Fbx = 12000*Cb/(Lb*12/(d/Af)) <= 0.60*Fy a =

-6, F1-7, & F1-8 z =

c1 =

c2 =

fby = My/Sy q'' =

fwns = Mt*12/(Sy/2) (warping normal stress) sn =

fby(total) = fby+fwns

Fby = 0.75*Fy

S.R. = fbx/Fbx+fby(total)/Fby

Pv = P+Wh+Wt (without vertical impact)

D(max) = Pv/2*(L-S)/2/(24*E*I)*(3*L^2-4*((L-S)/2)^2)+5*w/12000*L^4/(384*E*I)

D(ratio) = L*12/D(max)

D(allow) = L*12/450

Mx = (Pv/2)*(Lo+(Lo-S))+w/1000*Lo^2/2

My = (Ph/2)*(Lo+(Lo-S))

on for Overhang: (per USS Steel Design Manual, 1981)e = d/2 (assume horiz. load taken at bot. flange)

at = SQRT(E*Cw/(J*G)) , E=29000 ksi and G=11200 ksi

Mt = Ph*e*at/(d-tf)*TANH(Lo*12/at)/12

fbx = Mx/Sx

Lc = Min. of: (76*bf/SQRT(Fy))/12 or (20000/(d/Af*Fy))/12

Lu = Max. of: (20000/(d/Af*Fy))/12 or (SQRT(102000/Fy)*rt)/12

Lbo/rt = Lbo*12/rt

fa/Fy = 0, as P(axial) is assumed = 0

8/13/2019 MCAA


(assuming full design load, Pv without impact, at end of overhang)


D(max) = Pv*Lo^2*(L+Lo)/(3*E*I)+w/12000*Lo*(4*Lo^2*L-L^3+3*Lo^3)/(24*E*I)

D(ratio) = Lo*12/D(max)

D(allow) = Lo*12/450

Notes: Values of "L", "Lo", & "S" in equation above for D(max) are multiplied by 12.

Min. of: be = 12*tf or S*12 (effective flange bending length)

tf2 = tf (for W-shape)

am = (bf/2-tw/2)-(k-tf) (where: k-tf = radius of fillet)

Mf = Pw*am

Sf = be*tf^2/6

fb = Mf/Sf

Fb = 0.75*Fy

ation No. 74 (2004): (Note: torsion is neglected)

(Sign convention: + = tension, - = compression)

sxo = Cxo*Pw/ta^2

szo = Czo*Pw/ta^2

sx1 = Cx1*Pw/ta^2

sz1 = Cz1*Pw/ta^2

sx2 = -sxo

sz2 = -szo

sz = fbx+fby+0.75*szo

sx = 0.75*sxo

txz = 0 (assumed negligible)

sto = SQRT(sx^2+sz^2-sx*sz+3*txz^2)

8/13/2019 MCAA


8/13/2019 MCAA


0.500 a = 0.500 (torque assumed at midspan)

102.000 in. z = L*12/2 (calculated at midspan)

0.004961 c1 = T/(J*G)

-0.094174 c2 = SINH(a*L*12/at)/TANH(L*12/at)-COSH(a*L*12/at)

-0.000056 q'' = c1*c2/at*SINH(z/at)

12.34 ksi sn = ABS(E*Wns*q'') (warping normal stress)

8/13/2019 MCAA


8/13/2019 MCAA


Shape A d tw

W44x335 98.3 44 1.02

W44x290 85.8 43.6 0.87

W44x285 83.8 44.02 1.024

W44x262 77.2 43.3 0.79

W44x248 72.8 43.62 0.865

W44x230 67.7 42.9 0.71

W44X224 65.8 43.31 0.787

W44x198 58 42.91 0.709

W40x655 192 43.62 1.97

W40x593 174 43 1.79

W40x531 156 42.34 1.61

W40x503 148 42.1 1.54

W40x480 140 41.81 1.46

W40x466 137 42.44 1.67

W40x436 128 41.34 1.34

W40x431 127 41.3 1.34

W40x397 117 41 1.22

W40x392 115 41.6 1.42

W40x372 109 40.6 1.16

W40x362 107 40.6 1.12

W40x331 97.5 40.8 1.22

W40x328 96.4 40 0.91

W40x327 96 40.8 1.18

8/13/2019 MCAA


W36x848 249 42.45 2.52

W36x798 235 42 2.38

W36x720 211 41.19 2.165

W36x650 191 40.5 1.97

W36x588 172 39.84 1.79

W36x527 155 39.2 1.61

W36x485 142 38.74 1.5

W36x439 129 38.3 1.36

W36x393 116 37.8 1.22

W36x359 105 37.4 1.12

W36x328 96.4 37.1 1.02

W36x300 88.3 36.7 0.945

W36x280 82.4 36.5 0.885

W36x260 76.5 36.3 0.84

W36x256 75.4 37.4 0.96

W36x245 72.1 36.1 0.8

W36x232 68.1 37.1 0.87

W36x230 67.6 35.9 0.76

W36x210 61.8 36.7 0.83

W36x194 57 36.5 0.765

W36x182 53.6 36.3 0.725

W36x170 50.1 36.2 0.68

W36x160 47 36 0.65

W36x150 44.2 35.9 0.625

W36x135 39.7 35.6 0.6

W33x619 181 38.47 1.97

8/13/2019 MCAA


W30x391 115 33.2 1.36

W30x357 105 32.8 1.24

W30x326 95.8 32.4 1.14

W30x292 85.9 32 1.02

W30x261 76.9 31.6 0.93

W30x235 69.2 31.3 0.83

W30x211 62.2 30.9 0.775

W30x191 56.3 30.7 0.71

W30x173 51 30.4 0.655

W30x148 43.5 30.7 0.65

W30x132 38.9 30.3 0.615

W30x124 36.5 30.2 0.585

W30x116 34.2 30 0.565

W30x108 31.7 29.8 0.545

W30x99 29.1 29.7 0.52

W30x90 26.4 29.5 0.47

W27x539 159 32.5 1.97

W27x494 145 31.97 1.81

W27x448 131 31.42 1.65

W27x407 119 30.87 1.52

W27x368 108 30.4 1.38

W27x336 98.9 30 1.26

W27x307 90.4 29.6 1.16

W27x281 82.9 29.3 1.06

W27x258 76 29 0.98

W27x235 69.4 28.7 0.91

W27x217 64 28 4 0 83

8/13/2019 MCAA


W24x162 47.7 25 0.705

W24x146 43 24.7 0.65

W24x131 38.5 24.5 0.605

W24x117 34.4 24.3 0.55

W24x104 30.6 24.1 0.5

W24x103 30.3 24.5 0.55

W24x94 27.7 24.3 0.515

W24x84 24.7 24.1 0.47

W24x76 22.4 23.9 0.44

W24x68 20.1 23.7 0.415

W24x62 18.3 23.7 0.43

W24x55 16.3 23.6 0.395

W21x402 118 26.02 1.73

W21x364 107 25.47 1.59

W21x333 97.9 25 1.46

W21x300 88.2 24.53 1.32

W21x275 80.8 24.13 1.22

W21x248 72.8 23.74 1.1

W21x223 65.4 23.35 1

W21x201 59.2 23 0.91

W21x182 53.6 22.7 0.83

W21x166 48.8 22.5 0.75

W21x147 43.2 22.1 0.72

W21x132 38.8 21.8 0.65

W21x122 35.9 21.7 0.6

W21x111 32.7 21.5 0.55

W21x101 29 8 21 4 0 5

8/13/2019 MCAA


W18x106 31.1 18.7 0.59

W18x97 28.5 18.6 0.535

W18x86 25.3 18.4 0.48

W18x76 22.3 18.2 0.425

W18x71 20.8 18.5 0.495

W18x65 19.1 18.4 0.45

W18x60 17.6 18.2 0.415

W18x55 16.2 18.1 0.39

W18x50 14.7 18 0.355

W18x46 13.5 18.1 0.36

W18x40 11.8 17.9 0.315

W18x35 10.3 17.7 0.3

W16x100 29.7 17 0.585

W16x89 26.4 16.8 0.525

W16x77 22.9 16.5 0.455

W16x67 20 16.3 0.395

W16x57 16.8 16.4 0.43

W16x50 14.7 16.3 0.38

W16x45 13.3 16.1 0.345

W16x40 11.8 16 0.305

W16x36 10.6 15.9 0.295

W16x31 9.13 15.9 0.275

W16x26 7.68 15.7 0.25

W14x808 237 22.8 3.74

W14x730 215 22.4 3.07

W14x665 196 21.6 2.83

W14x605 178 20 9 2 6

8/13/2019 MCAA


W14x82 24 14.3 0.51

W14x74 21.8 14.2 0.45

W14x68 20 14 0.415

W14x61 17.9 13.9 0.375

W14x53 15.6 13.9 0.37

W14x48 14.1 13.8 0.34

W14x43 12.6 13.7 0.305

W14x38 11.2 14.1 0.31

W14x34 10 14 0.285

W14x30 8.85 13.8 0.27

W14x26 7.69 13.9 0.255

W14x22 6.49 13.7 0.23

W12x336 98.8 16.8 1.78

W12x305 89.6 16.3 1.63

W12x279 81.9 15.9 1.53

W12x252 74 15.4 1.4

W12x230 67.7 15.1 1.29

W12x210 61.8 14.7 1.18

W12x190 55.8 14.4 1.06

W12x170 50 14 0.96

W12x152 44.7 13.7 0.87

W12x136 39.9 13.4 0.79

W12x120 35.3 13.1 0.71

W12x106 31.2 12.9 0.61

W12x96 28.2 12.7 0.55

W12x87 25.6 12.5 0.515

W12x79 23.2 12.4 0.47

8/13/2019 MCAA


W10x45 13.3 10.1 0.35

W10x39 11.5 9.92 0.315

W10x33 9.71 9.73 0.29

W10x30 8.84 10.5 0.3W10x26 7.61 10.3 0.26

W10x22 6.49 10.2 0.24

W10x19 5.62 10.2 0.25

W10x17 4.99 10.1 0.24

W10x15 4.41 9.99 0.23

W10x12 3.54 9.87 0.19

W8x67 19.7 9 0.57

W8x58 17.1 8.75 0.51

W8x48 14.1 8.5 0.4

W8x40 11.7 8.25 0.36

W8x35 10.3 8.12 0.31

W8x31 9.12 8 0.285

W8x28 8.24 8.06 0.285

W8x24 7.08 7.93 0.245

W8x21 6.16 8.28 0.25

W8x18 5.26 8.14 0.23

W8x15 4.44 8.11 0.245

W8x13 3.84 7.99 0.23

W8x10 2.96 7.89 0.17

W6x25 7.36 6.38 0.32

W6x20 5.89 6.2 0.26

W6x16 4.74 6.28 0.26

W6x15 4.45 5.99 0.23

W6x12 3.55 6.03 0.23

8/13/2019 MCAA


W-shape Section Properties from AISC Version 3.0 CD Database (2001) and AISC

bf tf k rt d/Af Ix Sx

16 1.77 2.56 4.12 1.56 31100 1410

15.8 1.58 2.37 4.1 1.74 27100 1240

11.811 1.772 2.6875 2.95 2.1 24600 1120

15.8 1.42 2.21 4.07 1.94 24200 1120

11.811 1.575 2.5 2.96 2.34 21400 983

15.8 1.22 2.01 4.05 2.23 20800 971

11.811 1.416 2.3125 2.96 2.59 19200 889

11.811 1.22 2.125 2.94 2.98 16700 776

16.87 3.54 4.9375 4.43 0.73 56500 2590

16.7 3.23 4.41 4.38 0.8 50400 2340

16.51 2.91 4.3125 4.33 0.88 44300 2090

16.4 2.76 3.94 4.3 0.93 41700 1980

16.36 2.64 4 4.28 0.97 39500 1890

12.64 2.95 4.125 3.22 1.14 36300 1710

16.24 2.4 3.8125 4.24 1.06 35400 1710

16.2 2.36 3.54 4.23 1.08 34800 1690

16.1 2.2 3.38 4.21 1.15 32000 1560

12.4 2.52 3.7 3.14 1.33 29900 1440

16.1 2.05 3.23 4.18 1.23 29600 1460

16 2.01 3.19 4.17 1.26 28900 1420

12.2 2.13 3.31 3.08 1.57 24700 1210

17.91 1.73 3.125 4.73 1.29 26800 1340

12.1 2.13 3.31 3.09 1.58 24500 1200

8/13/2019 MCAA


18.13 4.53 5.6875 4.84 0.52 67400 3170

18 4.29 5.24 4.8 0.54 62600 2980

17.775 3.9 5.0625 4.73 0.59 55300 2690

17.6 3.54 4.49 4.67 0.65 48900 2420

17.4 3.23 4.375 4.62 0.71 43500 2180

17.2 2.91 3.86 4.57 0.78 38300 1950

17.105 2.68 3.8125 4.53 0.85 34700 1790

17 2.44 3.39 4.49 0.92 31000 1620

16.8 2.2 3.15 4.45 1.02 27500 1450

16.7 2.01 2.96 4.42 1.11 24800 1320

16.6 1.85 2.8 4.39 1.21 22500 1210

16.7 1.68 2.63 4.39 1.31 20300 1110

16.6 1.57 2.52 4.37 1.4 18900 1030

16.6 1.44 2.39 4.34 1.52 17300 953

12.2 1.73 2.48 3.14 1.77 16800 895

16.5 1.35 2.3 4.32 1.62 16100 895

12.1 1.57 2.32 3.11 1.95 15000 809

16.5 1.26 2.21 4.3 1.73 15000 837

12.2 1.36 2.11 3.09 2.21 13200 719

12.1 1.26 2.01 3.07 2.39 12100 664

12.1 1.18 1.93 3.05 2.55 11300 623

12 1.1 1.85 3.04 2.73 10500 581

12 1.02 1.77 3.02 2.94 9760 542

12 0.94 1.69 2.99 3.18 9040 504

12 0.79 1.54 2.93 3.77 7800 439

16 91 3 54 4 375 4 51 0 64 41800 2170

8/13/2019 MCAA


15.6 2.44 3.23 4.16 0.87 20700 1250

15.5 2.24 3.03 4.12 0.95 18700 1140

15.4 2.05 2.84 4.09 1.03 16800 1040

15.3 1.85 2.64 4.06 1.13 14900 930

15.2 1.65 2.44 4.02 1.26 13100 829

15.1 1.5 2.29 4 1.39 11700 748

15.1 1.32 2.1 3.99 1.56 10300 665

15 1.19 1.97 3.97 1.72 9200 600

15 1.07 1.85 3.94 1.91 8230 541

10.5 1.18 1.83 2.7 2.48 6680 436

10.5 1 1.65 2.68 2.87 5770 380

10.5 0.93 1.58 2.66 3.09 5360 355

10.5 0.85 1.5 2.64 3.36 4930 329

10.5 0.76 1.41 2.61 3.75 4470 299

10.5 0.67 1.32 2.57 4.23 3990 269

10.4 0.61 1.26 2.56 4.65 3610 245

15.3 3.54 4.33 4.1 0.6 25600 1570

15.095 3.27 4 4.05 0.65 22900 1440

14.94 2.99 3.6875 4.01 0.7 20400 1300

14.8 2.72 3.4375 3.96 0.77 18100 1170

14.7 2.48 3.27 3.93 0.84 16200 1060

14.6 2.28 3.07 3.89 0.9 14600 972

14.4 2.09 2.88 3.86 0.98 13100 887

14.4 1.93 2.72 3.84 1.06 11900 814

14.3 1.77 2.56 3.81 1.15 10800 745

14.2 1.61 2.4 3.78 1.25 9700 677

14 1 1 5 2 29 3 76 1 34 8910 627

8/13/2019 MCAA


13 1.22 1.72 3.45 1.58 5170 414

12.9 1.09 1.59 3.43 1.76 4580 371

12.9 0.96 1.46 3.4 1.98 4020 329

12.8 0.85 1.35 3.37 2.23 3540 291

12.8 0.75 1.25 3.35 2.52 3100 258

9 0.98 1.48 2.33 2.78 3000 245

9.07 0.875 1.38 2.33 3.06 2700 222

9.02 0.77 1.27 2.31 3.47 2370 196

8.99 0.68 1.18 2.29 3.91 2100 176

8.97 0.585 1.09 2.26 4.52 1830 154

7.04 0.59 1.19 1.71 5.72 1560 132

7.01 0.505 1.11 1.68 6.66 1360 115

13.405 3.13 3.875 3.63 0.62 12200 937

13.265 2.85 3.625 3.59 0.67 10800 846

13.13 2.62 3.375 3.55 0.73 9610 769

12.99 2.38 3.125 3.51 0.78 8480 692

12.89 2.19 3 3.48 0.85 7620 632

12.775 1.99 2.75 3.45 0.94 6760 569

12.675 1.79 2.5625 3.41 1.02 5950 510

12.6 1.63 2.13 3.38 1.12 5310 461

12.5 1.48 1.98 3.36 1.23 4730 417

12.4 1.36 1.86 3.34 1.33 4280 380

12.5 1.15 1.65 3.34 1.53 3630 329

12.4 1.03 1.54 3.31 1.7 3220 295

12.4 0.96 1.46 3.3 1.82 2960 273

12.3 0.875 1.38 3.28 1.99 2670 249

12 3 0 8 1 3 3 27 2 17 2420 227

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11.2 0.94 1.34 3 1.78 1910 204

11.1 0.87 1.27 2.99 1.92 1750 188

11.1 0.77 1.17 2.97 2.15 1530 166

11 0.68 1.08 2.95 2.43 1330 146

7.64 0.81 1.21 1.98 2.99 1170 127

7.59 0.75 1.15 1.97 3.22 1070 117

7.56 0.695 1.1 1.96 3.47 984 108

7.53 0.63 1.03 1.95 3.82 890 98.3

7.5 0.57 0.972 1.94 4.21 800 88.9

6.06 0.605 1.01 1.54 4.93 712 78.8

6.02 0.525 0.927 1.52 5.67 612 68.4

6 0.425 0.827 1.49 6.94 510 57.6

10.4 0.985 1.69 2.81 1.65 1500 177

10.4 0.875 1.58 2.79 1.85 1310 157

10.3 0.76 1.47 2.77 2.11 1120 136

10.2 0.665 1.37 2.75 2.4 970 119

7.12 0.715 1.12 1.86 3.23 758 92.2

7.07 0.63 1.03 1.84 3.65 659 81

7.04 0.565 0.967 1.83 4.06 586 72.7

7 0.505 0.907 1.82 4.53 518 64.7

6.99 0.43 0.832 1.79 5.28 448 56.5

5.53 0.44 0.842 1.39 6.53 375 47.2

5.5 0.345 0.747 1.36 8.27 301 38.4

18.6 5.12 5.72 5.15 0.24 16000 1400

17.9 4.91 5.51 4.99 0.26 14300 1280

17.7 4.52 5.12 4.92 0.27 12400 1150

17 4 4 16 4 76 4 85 0 29 10800 1040

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10.1 0.855 1.45 2.74 1.65 881 123

10.1 0.785 1.38 2.72 1.79 795 112

10 0.72 1.31 2.71 1.94 722 103

9.99 0.645 1.24 2.7 2.15 640 92.18.06 0.66 1.25 2.15 2.62 541 77.8

8.03 0.595 1.19 2.13 2.89 484 70.2

8 0.53 1.12 2.12 3.22 428 62.6

6.77 0.515 0.915 1.77 4.04 385 54.6

6.75 0.455 0.855 1.76 4.56 340 48.6

6.73 0.385 0.785 1.74 5.34 291 42

5.03 0.42 0.82 1.28 6.59 245 35.3

5 0.335 0.735 1.25 8.2 199 29

13.4 2.96 3.55 3.71 0.43 4060 483

13.2 2.71 3.3 3.67 0.46 3550 435

13.1 2.47 3.07 3.64 0.49 3110 393

13 2.25 2.85 3.59 0.53 2720 353

12.9 2.07 2.67 3.56 0.56 2420 321

12.8 1.9 2.5 3.53 0.61 2140 29212.7 1.74 2.33 3.5 0.65 1890 263

12.6 1.56 2.16 3.47 0.72 1650 235

12.5 1.4 2 3.44 0.78 1430 209

12.4 1.25 1.85 3.41 0.87 1240 186

12.3 1.11 1.7 3.38 0.96 1070 163

12.2 0.99 1.59 3.36 1.07 933 145

12.2 0.9 1.5 3.34 1.16 833 131

12.1 0.81 1.41 3.32 1.28 740 118

12.1 0.735 1.33 3.31 1.39 662 107

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8.02 0.62 1.12 2.18 2.03 248 49.1

7.99 0.53 1.03 2.16 2.34 209 42.1

7.96 0.435 0.935 2.14 2.81 171 35

5.81 0.51 0.81 1.55 3.53 170 32.4

5.77 0.44 0.74 1.54 4.07 144 27.9

5.75 0.36 0.66 1.51 4.91 118 23.2

4.02 0.395 0.695 1.03 6.45 96.3 18.8

4.01 0.33 0.63 1.01 7.64 81.9 16.2

4 0.27 0.57 0.99 9.25 68.9 13.8

3.96 0.21 0.51 0.96 11.9 53.8 10.9

8.28 0.935 1.33 2.28 1.16 272 60.4

8.22 0.81 1.2 2.26 1.31 228 52

8.11 0.685 1.08 2.23 1.53 184 43.2

8.07 0.56 0.954 2.21 1.83 146 35.5

8.02 0.495 0.889 2.2 2.05 127 31.2

8 0.435 0.829 2.18 2.3 110 27.5

6.54 0.465 0.859 1.77 2.65 98 24.3

6.5 0.4 0.794 1.76 3.05 82.7 20.9

5.27 0.4 0.7 1.41 3.93 75.3 18.2

5.25 0.33 0.63 1.39 4.7 61.9 15.2

4.01 0.315 0.615 1.03 6.41 48 11.8

4 0.255 0.555 1.01 7.83 39.6 9.91

3.94 0.205 0.505 0.99 9.77 30.8 7.81

6.08 0.455 0.754 1.66 2.31 53.6 16.8

6.02 0.365 0.664 1.64 2.82 41.5 13.4

4.03 0.405 0.655 1.08 3.85 32.1 10.2

5.99 0.26 0.559 1.61 3.85 29.3 9.77

4 0.28 0.53 1.05 5.38 22.1 7.31

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9th Edition Manual (1989)

rx Iy Sy ry J Cw w

17.8 1200 151 3.5 74.4 536000 335

17.8 1050 132 3.49 51.5 464000 290

17.1 490 83 2.42 60 219000 285

17.7 927 118 3.46 37.7 407000 262

17.2 435 74 2.44 40.7 192000 248

17.5 796 101 3.43 24.9 346000 230

17.1 391 66 2.44 30 172000 224

16.9 336 57 2.41 20.1 146000 198

17.2 2860 339 3.86 596 1140000 655

17 2520 302 3.8 445 996000 593

16.9 2200 266 3.75 329 848000 531

16.8 2050 250 3.72 279 791000 503

16.8 1940 237 3.72 245 739000 480

16.3 1010 160 2.72 277 393000 466

16.6 1720 212 3.67 186 649000 436

16.6 1690 208 3.65 177 639000 431

16.6 1540 191 3.64 142 578000 397

16.1 803 130 2.64 172 306000 392

16.5 1420 177 3.6 116 528000 372

16.5 1380 173 3.6 109 512000 362

15.9 644 106 2.57 106 241000 331

16.7 1660 185 4.15 74.2 607000 328

16 640 105 2.58 103 239000 327

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16.4 4550 501 4.27 1270 1620000 848

16.3 4200 467 4.23 1050 1490000 798

16.2 3680 414 4.18 804 1270000 720

16 3230 367 4.11 591 1100000 650

15.9 2850 328 4.07 453 950000 588

15.7 2490 289 4.01 327 820000 527

15.6 2250 263 3.98 260 727000 485

15.5 1990 235 3.93 193 638000 439

15.4 1750 208 3.9 141 554000 393

15.3 1570 188 3.86 108 492000 359

15.3 1420 171 3.84 84.1 441000 328

15.2 1300 156 3.83 64.2 399000 300

15.1 1200 144 3.81 52.6 366000 280

15 1090 132 3.78 41.5 330000 260

14.9 528 86.5 2.65 52.9 168000 256

15 1010 123 3.75 34.6 305000 245

14.8 468 77.2 2.62 39.6 148000 232

14.9 940 114 3.73 28.6 282000 230

14.6 411 67.5 2.58 28 128000 210

14.6 375 61.9 2.56 22.2 116000 194

14.5 347 57.6 2.55 18.5 107000 182

14.5 320 53.2 2.53 15.1 98400 170

14.4 295 49.1 2.5 12.4 90300 160

14.3 270 45.1 2.47 10.1 82300 150

14 225 37.7 2.38 7 68000 135

15 2 2870 340 3 98 567 870000 619

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10.4 443 68.4 3.05 18.5 62600 162

10.3 391 60.5 3.01 13.4 54700 146

10.2 340 53 2.97 9.5 47000 131

10.1 297 46.5 2.94 6.72 40700 11710.1 259 40.7 2.91 4.72 35200 104

9.96 119 26.5 1.99 7.07 16500 103

9.87 109 24 1.98 5.26 15000 94

9.79 94.4 20.9 1.95 3.7 12800 84

9.69 82.5 18.4 1.92 2.68 11100 76

9.55 70.4 15.7 1.87 1.87 9430 68

9.24 34.5 9.8 1.37 1.77 4620 62

9.13 29.1 8.3 1.34 1.24 3870 55

10.2 1270 189 3.27 297 165000 402

10 1120 168 3.23 225 142000 364

9.91 994 151 3.19 174 124000 333

9.81 873 134 3.15 130 107000 300

9.71 785 122 3.12 101 94100 275

9.63 694 109 3.09 75.2 81800 248

9.54 609 96.1 3.05 54.9 70600 223

9.47 542 86.1 3.02 40.9 62100 201

9.4 483 77.2 3 30.7 54500 182

9.36 435 70 2.99 23.6 48500 166

9.17 376 60.1 2.95 15.4 41100 147

9.12 333 53.5 2.93 11.3 36000 132

9.09 305 49.2 2.92 8.98 32700 122

9.05 274 44.5 2.9 6.83 29200 111

9 02 248 40 3 2 89 5 21 26200 101

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7.84 220 39.4 2.66 7.48 17400 106

7.82 201 36.1 2.65 5.86 15800 97

7.77 175 31.6 2.63 4.1 13600 86

7.73 152 27.6 2.61 2.83 11700 767.5 60.3 15.8 1.7 3.49 4700 71

7.49 54.8 14.4 1.69 2.73 4240 65

7.47 50.1 13.3 1.68 2.17 3860 60

7.41 44.9 11.9 1.67 1.66 3430 55

7.38 40.1 10.7 1.65 1.24 3040 50

7.25 22.5 7.43 1.29 1.22 1710 46

7.21 19.1 6.35 1.27 0.81 1440 40

7.04 15.3 5.12 1.22 0.506 1140 35

7.1 186 35.7 2.5 8.21 11900 100

7.05 163 31.4 2.48 5.83 10300 89

7 138 26.9 2.46 3.86 8570 77

6.97 119 23.2 2.44 2.62 7300 67

6.72 43.1 12.1 1.6 2.22 2660 57

6.68 37.2 10.5 1.59 1.52 2270 50

6.65 32.8 9.34 1.57 1.11 1990 45

6.63 28.9 8.25 1.57 0.794 1740 40

6.51 24.5 7 1.52 0.545 1460 36

6.41 12.4 4.49 1.17 0.461 739 31

6.26 9.59 3.49 1.12 0.262 565 26

8.2 5510 594 4.82 1840 433000 808

8.17 4720 527 4.69 1450 362000 730

7.98 4170 472 4.62 1120 306000 665

7 8 3680 423 4 55 869 258000 605

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6.05 148 29.3 2.48 5.07 6700 82

6.04 134 26.6 2.48 3.87 6000 74

6.01 121 24.2 2.46 3.01 5370 68

5.98 107 21.5 2.45 2.19 4690 615.89 57.7 14.3 1.92 1.94 2540 53

5.85 51.4 12.8 1.91 1.45 2240 48

5.82 45.2 11.3 1.89 1.05 1950 43

5.87 26.7 7.88 1.55 0.798 1230 38

5.83 23.3 6.91 1.53 0.569 1070 34

5.73 19.6 5.82 1.49 0.38 887 30

5.65 8.91 3.55 1.08 0.358 405 26

5.54 7 2.8 1.04 0.208 314 22

6.41 1190 177 3.47 243 57200 336

6.29 1050 159 3.42 185 48700 305

6.16 937 143 3.38 143 41900 279

6.06 828 127 3.34 108 35800 252

5.97 742 115 3.31 83.8 31300 230

5.89 664 104 3.28 64.7 27200 2105.82 589 93 3.25 48.8 23500 190

5.74 517 82.3 3.22 35.6 20100 170

5.66 454 72.8 3.19 25.8 17200 152

5.58 398 64.2 3.16 18.5 14700 136

5.51 345 56 3.13 12.9 12500 120

5.47 301 49.3 3.11 9.13 10700 106

5.44 270 44.4 3.09 6.85 9410 96

5.38 241 39.7 3.07 5.1 8280 87

5.34 216 35.8 3.05 3.84 7320 79

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4.32 53.4 13.3 2.01 1.51 1200 45

4.27 45 11.3 1.98 0.976 992 39

4.19 36.6 9.2 1.94 0.583 791 33

4.38 16.7 5.75 1.37 0.622 414 30

4.35 14.1 4.89 1.36 0.402 345 26

4.27 11.4 3.97 1.33 0.239 274 22

4.14 4.29 2.14 0.874 0.233 104 19

4.05 3.56 1.78 0.845 0.156 85.1 17

3.95 2.89 1.45 0.81 0.104 68.3 15

3.9 2.18 1.1 0.785 0.0547 50.9 12

3.72 88.6 21.4 2.12 5.05 1440 67

3.65 75.1 18.3 2.1 3.33 1180 58

3.61 60.9 15 2.08 1.96 930 48

3.53 49.1 12.2 2.04 1.12 726 40

3.51 42.6 10.6 2.03 0.769 619 35

3.47 37.1 9.27 2.02 0.536 531 31

3.45 21.7 6.63 1.62 0.537 313 28

3.42 18.3 5.63 1.61 0.346 259 24

3.49 9.77 3.71 1.26 0.282 152 21

3.43 7.97 3.04 1.23 0.172 122 18

3.29 3.41 1.7 0.876 0.137 51.8 15

3.21 2.73 1.37 0.843 0.0871 40.8 13

3.22 2.09 1.06 0.841 0.0426 30.9 10

2.7 17.1 5.61 1.52 0.47 150 25

2.66 13.3 4.41 1.5 0.246 113 20

2.6 4.43 2.2 0.967 0.223 38.2 162.56 9.32 3.11 1.45 0.105 76.5 15

2.49 2.99 1.5 0.918 0.0903 24.7 12

8/13/2019 MCAA


Version 1.3

SUMMARY OF CHECKS:

Row No.:

Simple-Span Stresses and Deflection:

54

61

64

70

Overhang Stresses and Deflection:

8490

93

99

Bottom Flange Bending (simplified):

107

Bottom Flange Bending (per CMAA No. 74):

130

136142

From: "Allowable Bending Stresses for Overhanging Monorails"

by N. Stephen Tanner - AISC Engineering Journal (3rd Quarter, 1985)

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SR =

SR =

SR =

SR =

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SR =

SR =

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DATOS:

PERFIL DE MONORIEL:

PARAMETROS DE DISEÑO

Fy= 36000 ksi

LONGITUD DE VIGA (L)= 3.0943 ft

CLARO SIN REFUERZO (Lb)= 3.0943 ft

COEFICIENTE PANDEO Cb= 1.00LONGITUD EXCEDENTE, LO= 0.1524 ft

Unbraced Length, Lbo = ft

COEFICIOENTE DE FLEXION, Cbo =PESO DE CARGA, P = kips

PESO DE TROLE, Wt = kips

PESO GRUA, Wh = kips

FACTOR DE IMPACTO VERTICAL, Vi = %

FACTOR HORIZONTAL DE CARGA, HLF = %

NUMERO TOTAL DE LLANTAS, Nw =

ESPACIO ENTRE LLANTAS, S = ft

Distance on Flange, a = in

A= 19.1 cm2 d/Af = 0.385

d= 200 mm Ix = 1282

tw = 4.3 mm Sx = 128

bf = 100 mm Iy = 87

tf = 5.2 mm Sy = 17

k= 16 mm J = 3.85

rt = 2.5 cm Cw = 3.85

203 x 15.0

203 x 15.0 PROPIEDADES DE PERFIL SISTEMA SI

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tapered flange section

CX0 = 0 -1.096 + 1.095 λ + 0.192e-6.0 λ

CX1 = 3.965 - 4.835 λ - 3.965e-2.675 λ

CY0 = 0 -0.981 - 1.479 λ + 1.120e1.322 λ

CY1 = 1.810 - 1.150 λ + 1.060e-7.70 λ

ta = tf - [b/24] + [a/6]

seccion simetrica

λ = 2a / (b - tw/2)

b = bf

calculosa = in DISTANCIA ENTRE BORDE DE P

b= 100 in

tw= 4.3 in

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A= 2.961 in2 d/Af = 9.769

cm4 d= 7.874 in Ix = 30.800

cm3 tw = 0.169 in Sx = 7.811

cm4 bf = 3.937 in Iy = 2.090

cm3 tf = 0.205 in Sy = 1.037

cm4 k= 0.630 in J = 0.092cm6 rt = 0.984 in Cw = #N/A

ANALISIS DE VIGA MONORIEL

203 x 15.0 PROPIEDADES DE PERFIL SISTEMA INGLES

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TIN AL PUNTO DE ACCION DE LA RUEDA DEL POLIPASTO

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CASO 1: GRU

CASO 2: GRU

CASO 3: CARG

tapered flang

parallel flang

seccion simet

otros casos

33

W8x10 10 36

50

2

4

in4

in3

in4

in3

in4

in6

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Is

Is b/t<=

Is b/t>

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DL (DLFB) + TL (DLFT) + LL (1 +HLF) + IFD

DL (DLFB) + TL (DLFT) + LL (1 +HLF) + IFD +WLO + SK

DL + TL + WLS

0 -1.096 + 1.0 3.965 - 4.835 λ 0 -0.981 - 1.4 1.810 - 1.150 tf - [b/24] + [a/6]

0 -2.110 + 1.9 10.108 - 7.408 0 -0.050 - 0.582.230 - 1.49 λ + 1.390e-18.33 λ

2a / (b - tw/2) bf IRa / (b´ - tw/2) distancia de centro al borde del patin PERFIL RECTANGULAR

Instituto Mexicano de la C

CALCULATIONS:

Parameters and Coefficients:

w = 8x10 plf unit weight/foot of beam

Pv = 7.400 kips Pv = P*(1+Vi/100)+Wt+Wh ( mm x kg/m in. x lb/ft.

Pw = 1.850 kips/wheel Pw = Pv/Nw (load per trolley wheel)

Ph = 0.600 kips Ph = HLF*P (horizontal load 102 x 19.4 4x13ta = 0.205 in. ta = tf (for W-shape)

l = 0.199 l = 2*a/(bf-tw) 127 x 23.7 5x16

Cxo = -1.689 Cxo = -2.110+1.977*l+0.00 127 x 28.1 5x19

Cx1 = 0.928 Cx1 = 10.108-7.408*l-10.108*e^(-1.364*l)

Czo = 0.204 Czo = 0.050-0.580*l+0.148 152 x 13.6 6x9

Cz1 = 1.970 Cz1 = 2.230-1.490*l+1.390 152 x 18.0 6x12

Section Ratios and Parameters: 152 x 24.0 6x16

bf/(2*tf) = 9.61

d/tw = 46.41 152 x 22.4 6x15

Qs = 1 000 152 x 29 7 6x20

Lc = 4.16 ft. Lc = Min. of: (76*bf/SQRT(F 203 x 86.6 8x58

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Lu = 4.74 ft. Lu = Max. of: (20000/(d/Af* 203 x 99.8 8x67

Lb/rt = 206.06 Lb/rt = Lb*12/rt

fa/Fy = 0.000 fa/Fy = 0, as P(axial) is assu 254 x 17.9 10x12

Is Lb<=Lc? No 254 x 22.3 10x15

d/tw<=allow? Yes 254 x 25.3 10x17

5/SQRT(Fy)? Yes 254 x 28.5 10x19

5/SQRT(Fy)? No


Fbx = N.A. Eqn. F1-3 Fbx = Fy*(0.79-0.002*bf/(2*t 254 x 38.5 10x26


Fbx = N.A. Eqn. F1-6 Fbx = (2/3-Fy*(Lb*12/rt)̂ 2/(1530000*Cb)*Fy <= 0.60*FyFbx = 4.00 Eqn. F1-7 Fbx = 170000*Cb/(Lb*12/rt)^254 x 49.2 10x33

Fbx = 6.02 Eqn. F1-8 Fbx = 12000*Cb/(Lb*12/(d/A 254 x 58.2 10x39

Fbx = 6.02 Select from F1-6, F1-7, & F1-8 254 x 67.4 10x45

Use: Fbx = 6.02 ksi

Y-axis Stresses for Simple-Span: 254 x 72.9 10x49

fby = 27.61 ksi fby = My/Sy 254 x 80.0 10x54

fwns = 12.37 ksi fwns = Mt*12/(Sy/2) (warpin 254 x 89.1 10x60

fby(total) = 39.98 ksi fby(total) = fby+fwns 254 x 101.3 10x68

Fby = 27.00 ksi Fby = 0.75*Fy 254 x 114.5 10x77

Combined Stress Ratio for Simple-Span: 254 x 131.2 10x88

S.R. = 9.156 S.R. = fbx/Fbx+fby(total)/Fb 254 x 148.9 10x100

Vertical Deflection for Simple-Span: 254 x 166.6 10x112


D(max) = 1 .3044 in. D(max) = Pv/2*(L-S)/2/( 305 x 21.1 12x14

D(ratio) = L/156 D(ratio) = L*12/D(max) 305 x 23.9 12x16

D(allow) = 0 .4533 in. D(allow) = L*12/450 305 x 28.2 12x19

Bending Moments for Overhang: 305 x 32.8 12x22

Fbx = N.A. Eqn. F1-5 Fbx = 0.60*Fy 305 x 178.8 12 x 120

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Fbx = N.A. Eqn. F1-6 Fbx = (2/3-Fy*(Lbo*12/rt)^2/( 305 x 202.1 12 x 136

Fbx = 8.75 Eqn. F1-7 Fbx = 170000*Cbo/(Lbo*12/ 305 x 226.4 12 x 152

Fbx = 8.90 Eqn. F1-8 Fbx = 12000*Cbo/(Lbo*12/( 305 x 253.2 12 x 170

Fbx = 8.90 Select from F1-6, F1-7, & F1-8 305 x 282.6 12 x 190

Use: Fbx = 8.90 ksi 305 x 313.0 12 x 210

Y-axis Stresses for Overhang: 305 x 342.9 12 x 230

fby = 17.83 ksi fby = My/Sy 305 x 375.3 12 x 252

fwns = 25.18 ksi fwns = Mt*12/(Sy/2) (warpin 305 x 414.3 12 x 279

fby(total) = 43.01 ksi fby(total) = fby+fwns 305 x 453.8 12 x 305

Fby = 27.00 ksi Fby = 0.75*Fy 305 x 500.1 12 x 336

Combined Stress Ratio for Overhang:

S.R. = 4.954 S.R. = fbx/Fbx+fby(total)/Fb 356 X 32.9 14 X 22Vertical Deflection for Overhang: (assuming full design load, 356 X 38.9 14 X 26


D(max) = 0 .7443 in. D(max) = Pv*Lo^2*(L+L 356 X 44.8 14 X 30

D(ratio) = L/48 D(ratio) = Lo*12/D(max) 356 X 50.6 14 X 34

D(allow) = 0 .0800 in. D(allow) = Lo*12/450 356 X 56.7 14 X 38

Notes: Values of "L", "Lo", & "S" in equation above for D(

Bottom Flange Local Bending (simplified): 356 X 63.8 14 X 43

be = 2.460 in. Min. of: be = 12*tf or S*12 ( 356 X 71.4 14 X 48

tf2 = 0.205 in. tf2 = tf (for W-shape) 356 X 79.0 14 X 53

am = 1.585 in. am = (bf/2-tw/2)-(k-tf) (where: k-tf = radius of fil let)

Mf = 2.932 in.-kips Mf = Pw*am 356 X 90.7 14 X 61

Sf = 0.017 in.^3 Sf = be*tf^2/6 356 X 101.3 14 X 68

fb = 170.18 ksi fb = Mf/Sf 356 X 110.4 14 X 74

Fb = 27.00 ksi Fb = 0.75*Fy 356 X 122.1 14 X 82

Bottom Flange Bending per CMAA Specification No. 74 (2004): 356 X 134.2 14 X 90

Local Flange Bending Stress @ Point 0: 356 X 147.4 14 X 99

sxo = -74.34 ksi sxo = Cxo*Pw/ta^2 356 X 162.1 14 X 109

sz = 67.08 ksi sz = fbx+fby+0.75*sz2 356 X 678.6 14 X 455

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sx = 55.76 ksi sx = 0.75*sx2 356 X 744.5 14 X 400

txz = 0.00 ksi txz = 0 (assumed negligible 356 X 820.4 14 X 550

st2 = 62.20 ksi st2 = SQRT(sx^2+sz^2-sx* 356 X 901.5 14 X 605

356 X 992.6 14 X 665

356 X 1088. 14 X 730

406 X 38.9 16 X 26

406 X 46.2 16 X 31

406 X 53.7 16 X 36

406 X 59.8 16 X 40

406 X 67.4 16 X 45406 X 74.4 16 X 50

406 X 83.1 16 X 57

406 X 99.8 16 X 67

406 X 114.5 16 X 77

406 X 132.7 16 X 89

406 X 148.9 16 X 100

457 X 52.2 18 X 35

457 X 59.8 18 X 40

457 X 68.4 18 X 46

457 X 74.3 18 X 50

457 X 82.0 18 X 55

457 X 89.1 18 X 60

457 X 96.7 18 X 65

457 X 105.3 18 X 71

8/13/2019 MCAA


914 X 223.9 36 X 150

8/13/2019 MCAA


914 X 238.0 36 X 160

914 X 253.2 36 X 170

914 X 271.5 36 X 182

914 X 288.7 36 X 194

914 X 313.0 36 X 210

914 X 342.4 36 X 220

914 X 635.2 36 X 245

914 X 387.4 36 X 260

914 X 417.3 36 X 280

914 X 447.2 36 X 300

8/13/2019 MCAA


8/13/2019 MCAA


nstrucción en Acero, A.C. 2a Edición

Peralte Alma Patín Distancia

d tw bf tf T k k1

mm mm mm mm mm mm mm

106 7.1 103 8.8 71 17 11

127 6.1 127 9.1 89 19 11

131 6.9 128 10.9 90 21 11

150 4.3 100 5.5 121 14 10

153 5.8 102 7.1 121 16 10

160 6.6 102 10.3 121 19 11

152 5.8 152 6.6 120 16 10

157 6 6 153 9 3 119 19 11

222 13 209 20.6 156 33 17

229 14 5 210 23 7 156 37 17

8/13/2019 MCAA


229 14.5 210 23.7 156 37 17

251 4.8 101 5.3 219 16 11

254 5.8 102 6.9 219 17 11

257 6.1 102 8.4 219 19 13

260 6.4 102 10 219 21 13

258 6.1 146 9.1 220 19 13

262 6.6 147 11.2 218 22 13

266 7.6 148 13 218 24 13

247 7.4 202 11 193 27 17

252 8 203 13.5 195 29 17

257 8.9 202 16 193 32 17

253 8.6 254 14.2 193 30 17

256 9.4 255 15.6 193 32 17

260 10.7 256 17.3 193 33 19

264 11.9 257 19.6 194 35 19

269 13.5 259 22.1 193 38 21

275 15.4 261 25.1 193 41 21

282 17.3 263 28.4 193 44 22

289 19.2 265 31.8 193 48 24

303 5 101 5.7 268 17 13

305 5.6 101 6.7 266 19 13

309 6 102 8.9 268 21 13

313 6.6 102 10.8 268 22 13

333 18 312 28.1 241 46 25

341 20 1 315 31 8 242 49 25

8/13/2019 MCAA


341 20.1 315 31.8 242 49 25

348 22.1 317 35.6 240 54 27

356 24.4 319 39.6 242 57 29

365 26.9 322 44.1 241 62 30

374 30 325 48.3 240 67 32

382 32.6 328 52.6 243 70 32

391 35.4 330 57.2 242 75 33

103 38.9 334 62.7 241 81 35

415 41.3 336 68.7 240 87 37

427 45.1 340 75.1 240 94 38

349 5.8 127 8.5 305 22 14353 6.4 128 10.7 306 24 14

352 6.9 171 9.8 304 24 16

355 7.2 171 11.6 304 25 16

358 7.9 172 13.1 304 27 16

ax) are multiplied by 12.

347 7.8 203 13.5 280 33 22

350 8.6 204 15.1 280 35 22

354 9.4 205 16.8 281 37 24

353 9.5 254 16.4 280 37 24

357 10.5 255 18.3 280 38 24

360 11.4 256 19.9 281 40 24

363 13 257 21.7 281 41 25

356 11.2 369 18.0 286 35 22

360 12.3 370 19.8 287 37 22

364 13.3 371 21.8 284 40 22

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546 14.0 313 22.2 464 41 24

551 15 2 315 24 4 465 43 25

8/13/2019 MCAA


551 15.2 315 24.4 465 43 25

554 16.5 316 26.3 462 46 25

560 18.3 318 29.2 465 48 27

599 10.0 178 12.8 532 33 24

603 10.9 179 15.0 533 35 27

603 10.5 228 14.9 533 35 24

608 11.2 228 17.3 535 37 24

612 11.9 229 19.6 533 40 24

617 13.1 230 22.2 535 41 25

611 12.7 324 19.1 535 38 25

616 14.0 325 21.6 534 41 25

622 15.4 327 24.4 533 44 27

628 16.5 328 27.7 533 48 27

635 17.9 329 31.1 533 51 27

678 11.7 253 16.3 609 35 24

684 12.4 254 18.9 611 37 24

688 13.1 254 21.1 609 40 24

693 14.5 256 23.6 611 41 24

695 15.4 355 24.8 610 43 25

701 16.8 356 27.4 609 46 25

706 18.4 358 30.2 611 48 27

753 13.2 265 17.0 680 37 25

758 13.8 266 19.3 678 40 25

8/13/2019 MCAA


8/13/2019 MCAA


bf

8/13/2019 MCAA


tf Y

k1

X X

Y

g

Gramil Sujetadores Area r T d / Af

g g1. .

mm mm mm in. cm cm cm -

60 50 12.7 1/2 24.7 2.8 1.17

70 50 19 3/4 32.3 3.5 1.1

70 55 22.2 7/8 35.7 3.5 0.94

60 45 12.7 1/2 17.3 2.6 2.74

60 55 12.7 1/2 22.9 2.7 2.12

60 55 12.7 1/2 30.6 2.7 1.51

90 55 22.2 7/8 28.6 4.1 1.51

90 55 22 2 7/8 37 9 4 2 1 11

8/13/2019 MCAA


140 95 28.6 1 1/8 227.8 8.6 0.38

140 95 28.6 1 1/8 257.4 8.7 0.34

8/13/2019 MCAA


140 95 28.6 1 1/8 257.4 8.7 0.34

140 100 28.6 1 1/8 288.4 8.7 0.31

140 105 28.6 1 1/8 322.6 8.8 0.28

140 110 28.6 1 1/8 360.0 8.9 0.26

140 115 28.6 1 1/8 398.7 9 0.24

140 115 28.6 1 1/8 436.8 9 0.22

140 120 28.6 1 1/8 478.1 9.1 0.21

140 130 28.6 1 1/8 528.4 9.2 0.19

140 135 28.6 1 1/8 578.1 9.3 0.18

140 140 28.6 1 1/8 637.4 9.4 0.17

70 70 19.0 3/4 41.9 3.2 3.2370 70 22.2 7/8 49.6 3.3 2.59

90 70 28.6 1 1/8 57.1 4.4 2.10

90 70 28.6 1 1/8 64.5 4.5 1.79

90 75 28.6 1 1/8 72.3 4.5 1.59

140 80 22.2 7/8 81.3 5.4 1.27

140 80 25.4 1 91.0 5.4 1.14

140 85 25.4 1 100.7 5.5 1.03

140 85 28.6 1 1/8 115.5 6.9 0.85

140 85 28.6 1 1/8 129.0 6.9 0.77

140 85 28.6 1 1/8 140.7 6.9 0.71

140 90 28.6 1 1/8 155.5 7 0.65

140 80 70.0 7/8 171.0 10.1 0.54

140 85 70.0 7/8 187.8 10.2 0.49

140 85 70.0 7/8 206.5 10.2 0.45

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140 90 28.6 1 1/8 211.0 8.3 0.78

140 90 28.6 1 1/8 231.6 8.4 0.72

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140 95 28.6 1 1/8 250.3 8.4 0.67

140 95 28.6 1 1/8 278.7 8.5 0.6

90 80 28.6 1 1/8 104.5 4.3 2.62

90 80 28.6 1 1/8 117.4 4.3 2.25

140 80 28.6 1 1/8 129.7 5.7 1.78

140 85 28.6 1 1/8 144.5 5.8 1.54

140 85 28.6 1 1/8 159.4 5.9 1.37

140 90 28.6 1 1/8 178.7 5.9 1.21

140 85 28.6 1 1/8 167.4 8.5 0.99

140 90 28.6 1 1/8 221.9 8.6 0.87

140 90 28.6 1 1/8 248.4 8.6 0.78

140 95 28.6 1 1/8 277.4 8.7 0.69

140 100 28.6 1 1/8 307.8 8.8 0.62

140 80 28.6 1 1/8 160.0 6.3 1.65

140 85 28.6 1 1/8 178.7 6.4 1.42140 85 28.6 1 1/8 193.6 6.5 1.28

140 90 28.6 1 1/8 216.1 6.6 1.15

140 90 28.6 1 1/8 276.8 9.3 0.79

140 95 28.6 1 1/8 305.8 9.4 0.72

140 95 28.6 1 1/8 387.4 9.4 0.65

140 85 28.6 1 1/8 187.8 6.5 1.67

140 85 28.6 1 1/8 204.5 6.6 1.48

140 95 28.6 1 1/8 285.2 7.6 1.25

140 95 28.6 1 1/8 303.2 7.7 1.16

8/13/2019 MCAA


140 100 28.6 1 1/8 322.6 7.7 1.08

140 100 28.6 1 1/8 345.8 7.7 1.00

140 105 28.6 1 1/8 367.8 7.8 0.94

140 105 28.6 1 1/8 398.7 7.8 0.87

140 105 28.6 1 1/8 436.2 10.9 0.68

140 110 28.6 1 1/8 465.2 11.0 0.64

140 110 28.6 1 1/8 493.6 11.0 0.60

140 115 28.6 1 1/8 531.6 11.1 0.55

140 120 28.6 1 1/8 569.7 11.2 0.52

8/13/2019 MCAA


8/13/2019 MCAA


k

k

Eje X - X Eje Y - Y

S r S r

cm cm cm cm cm cm

470 89 4.4 161 31 2.5

887 140 5.4 313 49 3.2

1091 167 5.5 380 60 3.3

683 91 6.3 91 18 2.3

920 120 6.3 124 25 2.3

1336 167 6.6 184 36 2.5

1211 159 6.5 388 51 3.7

1723 220 6 8 554 72 3 8

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44537 2671 14 14360 920 8

51613 3048 14.2 16566 1052 8

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59521 3425 14.4 18897 1193 8.1

68678 3851 14.6 21519 1349 8.2

78667 4310 14.8 24516 1524 8.3

89073 4785 15 27638 1704 8.3

100728 5260 15.2 30884 1885 8.4

113215 5785 15.4 34464 2081 8.5

129448 6440 15.6 39000 2343 8.6

147762 7128 16 43704 2606 8.7

168990 7915 16.3 49531 2900 8.8

8283 475 14.1 291 46 2.610198 578 14.4 371 58 2.7

12112 688 14.6 816 95 3.8

14152 796 14.8 970 113 3.9

16025 895 14.9 1111 129 3.9

17815 1027 14.8 1881 185 4.8

20187 1152 14.9 2139 210 4.922518 1275 15.0 2402 234 4.9

26640 15111 15.2 4454 352 6.2

30093 1688 15.3 5036 397 6.2

33132 1835 15.3 5577 436 6.3

36711 2016 15.4 6160 480 6.3

41581 2343 15.6 15068 818 9.4

46202 2573 15.7 16732 905 9.4

51613 2835 15.8 18605 1003 9.5

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111133 4080 23.0 11405 729 7.4

123204 4474 23.1 12695 806 7.4

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134026 4834 23.2 13860 877 7.4

151091 5391 23.3 15650 985 7.5

56191 1868 23.1 1211 136 3.4

64516 2147 23.4 1436 161 3.5

76170 2524 24.3 2930 257 4.7

87408 2824 24.6 3434 302 4.9

98647 3212 24.9 3929 342 5.0

112382 3638 25.1 4537 393 5.0

129031 4228 25.7 10780 667 7.4

147345 4769 25.7 12362 762 7.5

167324 5391 25.9 14152 869 7.5

190633 6080 26.2 16272 991 7.6

215191 6784 26.4 18439 1121 7.7

118626 3490 27.2 4412 347 5.3

136107 3982 27.7 5161 406 5.4150675 4375 27.9 5786 456 5.5

170238 4900 28.0 6618 516 5.5

234337 6735 29.0 18439 1041 8.2

261392 7456 29.2 20687 1162 8.2

290945 8226 29.5 23100 1291 8.3

166076 4408 29.7 5328 401 5.3

186055 4900 30.2 6077 457 5.5

376272 8259 36.3 11238 739 6.3

405824 8882 36.6 12279 805 6.4

8/13/2019 MCAA


437042 9504 36.8 13319 872 6.4

470400 10209 36.8 14443 944 6.5

503638 10881 37.0 15609 1014 6.5

549424 11782 37.1 17107 1106 6.6

624345 13716 37.8 39126 1868 9.5

670130 14666 38.1 42039 2016 9.5

720078 15617 38.1 45369 2163 9.6

786675 19879 38.4 49950 2360 9.7

844947 18190 38.6 54110 2556 9.7

8/13/2019 MCAA


CALCULATIONS:

8/13/2019 MCAA


33 Parameters and Coefficients:

36 w = 10 plf

50 Pv = 7.400 kips2 Pw = 1.850 kips/wheel

4 Ph = 0.600 kips

ta = 0.205 in.

l = 0.199

Cxo = -1.689

Cx1 = 0.928

Czo = 0.204

Cz1 = 1.970

Section Ratios and Parameters:

bf/(2*tf) = 9.61

d/tw = 46.41

Qs = 1.000

Support Reactions:

For Lo = 0 (no overhang):

RR(max) = N.A. kips

RL(min) = N.A. kips

For Lo > 0 (with overhang):

RR(max) = 8.660 kips

RL(min) = -1.060 kips

Bending Moments for Simple-Span:

x = 8.313 ft.

Mx = 30.08 ft-kips

My = 2.44 ft-kipsLateral Flange Bending Moment from Torsi

e = 3 945 in

Fbx = 6.02 Eqn. F1-8

Fbx = 6.02 Select from F1

8/13/2019 MCAA


Use: Fbx = 6.02 ksi

Y-axis Stresses for Simple-Span:

fby = 27.61 ksi

fwns = 12.37 ksi

fby(total) = 39.98 ksi

Fby = 27.00 ksi

Combined Stress Ratio for Simple-Span:

S.R. = 9.156

Vertical Deflection for Simple-Span:

Pv = 6.500 kips

D(max) = 1.3044 in.

D(ratio) = L/156

D(allow) = 0.4533 in.

Bending Moments for Overhang:

Mx = 19.47 ft-kips

My = 1.58 ft-kips

Lateral Flange Bending Moment from Torsi

e = 3.945 in.at = 43.338

Mt = 1.11 ft-kips

X-axis Stresses for Overhang:

fbx = 29.92 ksi

Lc = 4.16 ft.

Lu = 4.74 ft.

Lbo/rt = 139.39

fa/Fy = 0.000

Is Lbo<=Lc? No

Vertical Deflection for Overhang:

Pv = 6.500 kips

D( )

8/13/2019 MCAA


D(max) = 0.7443 in.

D(ratio) = L/48

D(allow) = 0.0800 in.

Bottom Flange Local Bending (simplified):

be = 2.460 in.

tf2 = 0.205 in.

am = 1.585 in.

Mf = 2.932 in.-kips

Sf = 0.017 in.^3

fb = 170.18 ksiFb = 27.00 ksi

Bottom Flange Bending per CMAA Specific


sxo = -74.34 ksi

szo = 8.99 ksi


sx1 = 40.87 ksi

sz1 = 86.71 ksiLocal Flange Bending Stress @ Point 2:

sx2 = 74.34 ksi

sz2 = -8.99 ksi


sz = 80.57 ksi

sx = -55.76 ksi

txz = 0.00 ksi

sto = 118.71 ksi


8/13/2019 MCAA


8/13/2019 MCAA


unit weight/foot of beam

Pv = P*(1+Vi/100)+Wt+Wh (vertical load)Pw = Pv/Nw (load per trolley wheel)

Ph = HLF*P (horizontal load)

ta = tf (for W-shape)

l = 2*a/(bf-tw)

Cxo = -2.110+1.977*l+0.0076*e^(6.53*l)

Cx1 = 10.108-7.408*l-10.108*e^(-1.364*l)

Czo = 0.050-0.580*l+0.148*e^(3.015*l)

Cz1 = 2.230-1.490*l+1.390*e^(-18.33*l)

RR(max) = N.A.

RL(min) = N.A.

RR(max) = Pv*(L+(Lo-S/2))/L+w/1000/(2*L)*(L+Lo)^2

RL(min) = -Pv*(Lo-S/2)/L+w/1000/(2*L)*(L^2-Lo^2)

x = 1/2*(L-S/2) (location of max. moments from left end of simple-span)

Mx = (Pv/2)/(2*L)*(L-S/2)^2+w/1000*x/2*(L-x)

My = (Ph/2)/(2*L)*(L-S/2)^2 on for Simple-Span: (per USS Steel Design Manual, 1981)

e = d/2 (assume horiz load taken at bot flange)

Fbx = 12000*Cb/(Lb*12/(d/Af)) <= 0.60*Fy a =

-6, F1-7, & F1-8 z =

8/13/2019 MCAA


c1 =

c2 =

fby = My/Sy q

'' =

fwns = Mt*12/(Sy/2) (warping normal stress) sn =

fby(total) = fby+fwns

Fby = 0.75*Fy

S.R. = fbx/Fbx+fby(total)/Fby


D(max) = Pv/2*(L-S)/2/(24*E*I)*(3*L^2-4*((L-S)/2)^2)+5*w/12000*L^4/(384*E*I)

D(ratio) = L*12/D(max)

D(allow) = L*12/450

Mx = (Pv/2)*(Lo+(Lo-S))+w/1000*Lo^2/2

My = (Ph/2)*(Lo+(Lo-S))

on for Overhang: (per USS Steel Design Manual, 1981)

e = d/2 (assume horiz. load taken at bot. flange)at = SQRT(E*Cw/(J*G)) , E=29000 ksi and G=11200 ksi

Mt = Ph*e*at/(d-tf)*TANH(Lo*12/at)/12

fbx = Mx/Sx

Lc = Min. of: (76*bf/SQRT(Fy))/12 or (20000/(d/Af*Fy))/12

Lu = Max. of: (20000/(d/Af*Fy))/12 or (SQRT(102000/Fy)*rt)/12

Lbo/rt = Lbo*12/rt

fa/Fy = 0, as P(axial) is assumed = 0

8/13/2019 MCAA


8/13/2019 MCAA


0.500 a = 0.500 (torque assumed at midspan)

102.000 in. z = L*12/2 (calculated at midspan)

0 004961 c1 = T/(J*G)

8/13/2019 MCAA


0.004961 c1 = T/(J G)

-0.094174 c2 = SINH(a*L*12/at)/TANH(L*12/at)-COSH(a*L*12/at)

-0.000056 q'' = c1*c2/at*SINH(z/at)

12.34 ksi sn = ABS(E*Wns*q'') (warping normal stress)

8/13/2019 MCAA


8/13/2019 MCAA


Shape A d tw

W44x335 98.3 44 1.02

W44x290 85.8 43.6 0.87

W44x285 83.8 44.02 1.024

W44x262 77.2 43.3 0.79

W44x248 72.8 43.62 0.865

W44x230 67.7 42.9 0.71

W44X224 65.8 43.31 0.787

W44x198 58 42.91 0.709

W40x655 192 43.62 1.97

W40x593 174 43 1.79

W40x531 156 42.34 1.61

W40x503 148 42.1 1.54

W40x480 140 41.81 1.46

W40x466 137 42.44 1.67

W40x436 128 41.34 1.34

W40x431 127 41.3 1.34

W40x397 117 41 1.22

W40x392 115 41.6 1.42

W40x372 109 40.6 1.16

W40x362 107 40.6 1.12

W40x331 97.5 40.8 1.22

W40x328 96.4 40 0.91

W40x327 96 40.8 1.18

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W30x391 115 33.2 1.36

W30x357 105 32.8 1.24

W30 326 95 8 32 4 1 14

8/13/2019 MCAA


W30x326 95.8 32.4 1.14

W30x292 85.9 32 1.02

W30x261 76.9 31.6 0.93

W30x235 69.2 31.3 0.83

W30x211 62.2 30.9 0.775

W30x191 56.3 30.7 0.71

W30x173 51 30.4 0.655

W30x148 43.5 30.7 0.65

W30x132 38.9 30.3 0.615

W30x124 36.5 30.2 0.585

W30x116 34.2 30 0.565

W30x108 31.7 29.8 0.545

W30x99 29.1 29.7 0.52

W30x90 26.4 29.5 0.47

W27x539 159 32.5 1.97

W27x494 145 31.97 1.81

W27x448 131 31.42 1.65

W27x407 119 30.87 1.52

W27x368 108 30.4 1.38

W27x336 98.9 30 1.26

W27x307 90.4 29.6 1.16

W27x281 82.9 29.3 1.06

W27x258 76 29 0.98

W27x235 69.4 28.7 0.91

W27x217 64 28 4 0 83

8/13/2019 MCAA


W18x106 31.1 18.7 0.59

W18x97 28.5 18.6 0.535

W18x86 25 3 18 4 0 48

8/13/2019 MCAA


W18x86 25.3 18.4 0.48

W18x76 22.3 18.2 0.425

W18x71 20.8 18.5 0.495

W18x65 19.1 18.4 0.45

W18x60 17.6 18.2 0.415

W18x55 16.2 18.1 0.39

W18x50 14.7 18 0.355

W18x46 13.5 18.1 0.36

W18x40 11.8 17.9 0.315

W18x35 10.3 17.7 0.3

W16x100 29.7 17 0.585

W16x89 26.4 16.8 0.525

W16x77 22.9 16.5 0.455

W16x67 20 16.3 0.395

W16x57 16.8 16.4 0.43

W16x50 14.7 16.3 0.38

W16x45 13.3 16.1 0.345

W16x40 11.8 16 0.305

W16x36 10.6 15.9 0.295

W16x31 9.13 15.9 0.275

W16x26 7.68 15.7 0.25

W14x808 237 22.8 3.74

W14x730 215 22.4 3.07

W14x665 196 21.6 2.83

W14x605 178 20 9 2 6

8/13/2019 MCAA


W10x45 13.3 10.1 0.35

W10x39 11.5 9.92 0.315

W10x33 9.71 9.73 0.29

8/13/2019 MCAA


W10x33 9.71 9.73 0.29

W10x30 8.84 10.5 0.3

W10x26 7.61 10.3 0.26W10x22 6.49 10.2 0.24

W10x19 5.62 10.2 0.25

W10x17 4.99 10.1 0.24

W10x15 4.41 9.99 0.23

W10x12 3.54 9.87 0.19

W8x67 19.7 9 0.57

W8x58 17.1 8.75 0.51

W8x48 14.1 8.5 0.4

W8x40 11.7 8.25 0.36

W8x35 10.3 8.12 0.31

W8x31 9.12 8 0.285

W8x28 8.24 8.06 0.285

W8x24 7.08 7.93 0.245

W8x21 6.16 8.28 0.25

W8x18 5.26 8.14 0.23

W8x15 4.44 8.11 0.245

W8x13 3.84 7.99 0.23

W8x10 2.96 7.89 0.17

W6x25 7.36 6.38 0.32

W6x20 5.89 6.2 0.26

W6x16 4.74 6.28 0.26

W6x15 4.45 5.99 0.23

W6x12 3.55 6.03 0.23

8/13/2019 MCAA


W-shape Section Properties from AISC Version 3.0 CD Database (2001) and AISC

bf tf k rt d/Af Ix Sx

16 1.77 2.56 4.12 1.56 31100 1410

15.8 1.58 2.37 4.1 1.74 27100 1240

11.811 1.772 2.6875 2.95 2.1 24600 1120

15.8 1.42 2.21 4.07 1.94 24200 1120

11.811 1.575 2.5 2.96 2.34 21400 983

15.8 1.22 2.01 4.05 2.23 20800 971

11.811 1.416 2.3125 2.96 2.59 19200 889

11.811 1.22 2.125 2.94 2.98 16700 776

16.87 3.54 4.9375 4.43 0.73 56500 2590

16.7 3.23 4.41 4.38 0.8 50400 2340

16.51 2.91 4.3125 4.33 0.88 44300 2090

16.4 2.76 3.94 4.3 0.93 41700 1980

16.36 2.64 4 4.28 0.97 39500 1890

12.64 2.95 4.125 3.22 1.14 36300 1710

16.24 2.4 3.8125 4.24 1.06 35400 1710

16.2 2.36 3.54 4.23 1.08 34800 1690

16.1 2.2 3.38 4.21 1.15 32000 1560

12.4 2.52 3.7 3.14 1.33 29900 1440

16.1 2.05 3.23 4.18 1.23 29600 1460

16 2.01 3.19 4.17 1.26 28900 1420

12.2 2.13 3.31 3.08 1.57 24700 1210

17.91 1.73 3.125 4.73 1.29 26800 1340

12.1 2.13 3.31 3.09 1.58 24500 1200

18.13 4.53 5.6875 4.84 0.52 67400 3170

18 4.29 5.24 4.8 0.54 62600 2980

17 775 3 9 5 0625 4 73 0 59 55300 2690

8/13/2019 MCAA


17.775 3.9 5.0625 4.73 0.59 55300 2690

17.6 3.54 4.49 4.67 0.65 48900 2420

17.4 3.23 4.375 4.62 0.71 43500 2180

17.2 2.91 3.86 4.57 0.78 38300 1950

17.105 2.68 3.8125 4.53 0.85 34700 1790

17 2.44 3.39 4.49 0.92 31000 1620

16.8 2.2 3.15 4.45 1.02 27500 1450

16.7 2.01 2.96 4.42 1.11 24800 1320

16.6 1.85 2.8 4.39 1.21 22500 1210

16.7 1.68 2.63 4.39 1.31 20300 1110

16.6 1.57 2.52 4.37 1.4 18900 1030

16.6 1.44 2.39 4.34 1.52 17300 953

12.2 1.73 2.48 3.14 1.77 16800 895

16.5 1.35 2.3 4.32 1.62 16100 895

12.1 1.57 2.32 3.11 1.95 15000 809

16.5 1.26 2.21 4.3 1.73 15000 837

12.2 1.36 2.11 3.09 2.21 13200 719

12.1 1.26 2.01 3.07 2.39 12100 664

12.1 1.18 1.93 3.05 2.55 11300 623

12 1.1 1.85 3.04 2.73 10500 581

12 1.02 1.77 3.02 2.94 9760 542

12 0.94 1.69 2.99 3.18 9040 504

12 0.79 1.54 2.93 3.77 7800 439

16 91 3 54 4 375 4 51 0 64 41800 2170

8/13/2019 MCAA


8/13/2019 MCAA


11.2 0.94 1.34 3 1.78 1910 204

11.1 0.87 1.27 2.99 1.92 1750 188

11.1 0.77 1.17 2.97 2.15 1530 166

8/13/2019 MCAA


11 0.68 1.08 2.95 2.43 1330 146

7.64 0.81 1.21 1.98 2.99 1170 127

7.59 0.75 1.15 1.97 3.22 1070 117

7.56 0.695 1.1 1.96 3.47 984 108

7.53 0.63 1.03 1.95 3.82 890 98.3

7.5 0.57 0.972 1.94 4.21 800 88.9

6.06 0.605 1.01 1.54 4.93 712 78.8

6.02 0.525 0.927 1.52 5.67 612 68.4

6 0.425 0.827 1.49 6.94 510 57.6

10.4 0.985 1.69 2.81 1.65 1500 177

10.4 0.875 1.58 2.79 1.85 1310 157

10.3 0.76 1.47 2.77 2.11 1120 136

10.2 0.665 1.37 2.75 2.4 970 119

7.12 0.715 1.12 1.86 3.23 758 92.2

7.07 0.63 1.03 1.84 3.65 659 81

7.04 0.565 0.967 1.83 4.06 586 72.7

7 0.505 0.907 1.82 4.53 518 64.7

6.99 0.43 0.832 1.79 5.28 448 56.5

5.53 0.44 0.842 1.39 6.53 375 47.2

5.5 0.345 0.747 1.36 8.27 301 38.4

18.6 5.12 5.72 5.15 0.24 16000 1400

17.9 4.91 5.51 4.99 0.26 14300 1280

17.7 4.52 5.12 4.92 0.27 12400 1150

17 4 4 16 4 76 4 85 0 29 10800 1040

10.1 0.855 1.45 2.74 1.65 881 123

10.1 0.785 1.38 2.72 1.79 795 112

10 0.72 1.31 2.71 1.94 722 103

8/13/2019 MCAA


9.99 0.645 1.24 2.7 2.15 640 92.1

8.06 0.66 1.25 2.15 2.62 541 77.8

8.03 0.595 1.19 2.13 2.89 484 70.2

8 0.53 1.12 2.12 3.22 428 62.6

6.77 0.515 0.915 1.77 4.04 385 54.6

6.75 0.455 0.855 1.76 4.56 340 48.6

6.73 0.385 0.785 1.74 5.34 291 42

5.03 0.42 0.82 1.28 6.59 245 35.3

5 0.335 0.735 1.25 8.2 199 29

13.4 2.96 3.55 3.71 0.43 4060 483

13.2 2.71 3.3 3.67 0.46 3550 435

13.1 2.47 3.07 3.64 0.49 3110 393

13 2.25 2.85 3.59 0.53 2720 353

12.9 2.07 2.67 3.56 0.56 2420 321

12.8 1.9 2.5 3.53 0.61 2140 292

12.7 1.74 2.33 3.5 0.65 1890 263

12.6 1.56 2.16 3.47 0.72 1650 235

12.5 1.4 2 3.44 0.78 1430 209

12.4 1.25 1.85 3.41 0.87 1240 186

12.3 1.11 1.7 3.38 0.96 1070 163

12.2 0.99 1.59 3.36 1.07 933 145

12.2 0.9 1.5 3.34 1.16 833 131

12.1 0.81 1.41 3.32 1.28 740 11812.1 0.735 1.33 3.31 1.39 662 107

8.02 0.62 1.12 2.18 2.03 248 49.1

7.99 0.53 1.03 2.16 2.34 209 42.1

7.96 0.435 0.935 2.14 2.81 171 35

8/13/2019 MCAA


5.81 0.51 0.81 1.55 3.53 170 32.4

5.77 0.44 0.74 1.54 4.07 144 27.95.75 0.36 0.66 1.51 4.91 118 23.2

4.02 0.395 0.695 1.03 6.45 96.3 18.8

4.01 0.33 0.63 1.01 7.64 81.9 16.2

4 0.27 0.57 0.99 9.25 68.9 13.8

3.96 0.21 0.51 0.96 11.9 53.8 10.9

8.28 0.935 1.33 2.28 1.16 272 60.4

8.22 0.81 1.2 2.26 1.31 228 52

8.11 0.685 1.08 2.23 1.53 184 43.2

8.07 0.56 0.954 2.21 1.83 146 35.5

8.02 0.495 0.889 2.2 2.05 127 31.2

8 0.435 0.829 2.18 2.3 110 27.5

6.54 0.465 0.859 1.77 2.65 98 24.3

6.5 0.4 0.794 1.76 3.05 82.7 20.9

5.27 0.4 0.7 1.41 3.93 75.3 18.2

5.25 0.33 0.63 1.39 4.7 61.9 15.2

4.01 0.315 0.615 1.03 6.41 48 11.8

4 0.255 0.555 1.01 7.83 39.6 9.91

3.94 0.205 0.505 0.99 9.77 30.8 7.81

6.08 0.455 0.754 1.66 2.31 53.6 16.8

6.02 0.365 0.664 1.64 2.82 41.5 13.4

4.03 0.405 0.655 1.08 3.85 32.1 10.2

5.99 0.26 0.559 1.61 3.85 29.3 9.77

4 0.28 0.53 1.05 5.38 22.1 7.31

8/13/2019 MCAA


16.4 4550 501 4.27 1270 1620000 848

16.3 4200 467 4.23 1050 1490000 798

16 2 3680 414 4 18 804 1270000 720

8/13/2019 MCAA


16.2 3680 414 4.18 804 1270000 720

16 3230 367 4.11 591 1100000 650

15.9 2850 328 4.07 453 950000 588

15.7 2490 289 4.01 327 820000 527

15.6 2250 263 3.98 260 727000 485

15.5 1990 235 3.93 193 638000 439

15.4 1750 208 3.9 141 554000 393

15.3 1570 188 3.86 108 492000 359

15.3 1420 171 3.84 84.1 441000 328

15.2 1300 156 3.83 64.2 399000 300

15.1 1200 144 3.81 52.6 366000 280

15 1090 132 3.78 41.5 330000 260

14.9 528 86.5 2.65 52.9 168000 256

15 1010 123 3.75 34.6 305000 245

14.8 468 77.2 2.62 39.6 148000 232

14.9 940 114 3.73 28.6 282000 230

14.6 411 67.5 2.58 28 128000 210

14.6 375 61.9 2.56 22.2 116000 194

14.5 347 57.6 2.55 18.5 107000 182

14.5 320 53.2 2.53 15.1 98400 170

14.4 295 49.1 2.5 12.4 90300 160

14.3 270 45.1 2.47 10.1 82300 150

14 225 37.7 2.38 7 68000 135

15 2 2870 340 3 98 567 870000 619

13.4 1550 198 3.67 173 366000 391

13.3 1390 179 3.64 134 325000 357

13.2 1240 162 3.6 103 286000 326

8/13/2019 MCAA


13.2 1100 144 3.58 75.2 250000 292

13.1 959 127 3.53 54.1 215000 261

13 855 114 3.51 40.3 190000 235

12.9 757 100 3.49 28.4 166000 211

12.8 673 89.5 3.46 21 146000 191

12.7 598 79.8 3.42 15.6 129000 173

12.4 227 43.3 2.28 14.5 49400 148

12.2 196 37.2 2.25 9.72 42100 132

12.1 181 34.4 2.23 7.99 38700 124

12 164 31.3 2.19 6.43 34900 116

11.9 146 27.9 2.15 4.99 30800 108

11.7 128 24.5 2.1 3.77 26900 99

11.7 115 22.1 2.09 2.84 24000 90

12.7 2110 277 3.65 496 443000 539

12.6 1890 250 3.61 391 386000 494

12.5 1670 224 3.57 297 336000 448

12.3 1480 200 3.52 225 291000 407

12.2 1310 179 3.48 170 255000 368

12.1 1180 162 3.45 131 227000 336

12 1050 146 3.41 101 199000 307

12 953 133 3.39 79.5 178000 281

11.9 859 120 3.36 61.6 159000 258

11.8 769 108 3.33 47 141000 235

11 8 704 99 8 3 32 37 6 128000 217

10.4 443 68.4 3.05 18.5 62600 162

10.3 391 60.5 3.01 13.4 54700 146

10.2 340 53 2.97 9.5 47000 131

8/13/2019 MCAA


10.1 297 46.5 2.94 6.72 40700 117

10.1 259 40.7 2.91 4.72 35200 104

9.96 119 26.5 1.99 7.07 16500 103

9.87 109 24 1.98 5.26 15000 94

9.79 94.4 20.9 1.95 3.7 12800 84

9.69 82.5 18.4 1.92 2.68 11100 76

9.55 70.4 15.7 1.87 1.87 9430 68

9.24 34.5 9.8 1.37 1.77 4620 62

9.13 29.1 8.3 1.34 1.24 3870 55

10.2 1270 189 3.27 297 165000 402

10 1120 168 3.23 225 142000 364

9.91 994 151 3.19 174 124000 333

9.81 873 134 3.15 130 107000 300

9.71 785 122 3.12 101 94100 275

9.63 694 109 3.09 75.2 81800 248

9.54 609 96.1 3.05 54.9 70600 223

9.47 542 86.1 3.02 40.9 62100 201

9.4 483 77.2 3 30.7 54500 182

9.36 435 70 2.99 23.6 48500 166

9.17 376 60.1 2.95 15.4 41100 147

9.12 333 53.5 2.93 11.3 36000 132

9.09 305 49.2 2.92 8.98 32700 122

9.05 274 44.5 2.9 6.83 29200 111

9 02 248 40 3 2 89 5 21 26200 101

8/13/2019 MCAA


8/13/2019 MCAA


SR =

SR =

SR =

SR =

8/13/2019 MCAA


SR =

SR =

PERFIL IR: 254 x 44.8 PERFIL W: W10x30

CALCULO DE PUENTE GRUA

Datos de perfil SI Datos del perfil sistema Ingles

8/13/2019 MCAA


d= 266 mm d= 10.472 in

tw= 7.6 mm tw= 0.299 in

bf= 148 mm bf= 5.827 in

tf= 13 mm tf= 0.512 in

T= 218 mm T=

k= 24 mm k= 0.945 in

k1= 13 mm k1=

g= 90 mm g=

g1= 70 mm g1=

diam en patin= 22.2 mm diam en patin=

A= 57 cm2 A= 8.835 in2

rt= 3.9 cm rt= 1.535 in

d/Af= 1.39 cm-1 d/Af= 3.512

Ix= 7076 cm4 Ix= 170.002 in4

Sx= 531 cm3 Sx= 32.404 in3

rx= 11.1 cm rx=

Iy= 695 cm4 Iy= 16.697 in4Sy= 94 cm3 Sy= 5.736 in3

ry= 3.5 cm ry=

a= 2 in

CX0= 0 -2.110 + 1.977 λ + 0.0076e(6.53 λ) λ =

CX1= 10.108 - 7.408 λ - 10.108e(-1.364 λ) λ = 0.72365

CY0= 0.050 - 0.580 λ + 0.148e(3.015 λ)

CY1= 2.230 - 1.49 λ + 1.390e(-18.33 λ) P= 4000 Kg

P= 8818 34 Lb

p p g

SECCION DE PATINES PARALELAS

2a/(b-tw)

TENSION ADMISIBLE

8/13/2019 MCAA


Ϭx =

ϬY =

estrés combinado dentro de un mismo componenteϬcomb=

Ϭcomb=

estrés combinado en el metal base de una union soldada

Ϭcomb=

Ϭcomb=

estrés combinado dentro del metal de soldadura

Ϭcomb=

Ϭcomb=

MIEMBRO A COMPRESION.

√ ((Ϭx)² + (Ϭy)²-Ϭx Ϭy + 3(Txy)² )≤ ϬTALL

1

2 Ϭ + Ϭ ±

1

2 (Ϭ − Ϭ)2+4()2 ≤ Ϭ

1

2 Ϭ + Ϭ ±

1

2 (Ϭ − Ϭ)2+4()2 ≤ WeldALL

8/13/2019 MCAA


8/13/2019 MCAA


n1 n2

l1 A B

l2 B C

l3 C D

load

LASE DE CARG

8/13/2019 MCAA


l3 C D

l4 DUSO OCASIO USO REGULAR

L1= GRUA QUE LEVANTA EL VAL

L2= GRUA QUE RARAMENTE LEV

L3= GRUA QUE LEVANTA EL CASI

L4= GRUA QUE SON SEGULARME

CICLOS DE CARGA

N1= 20000 A 100000 CICLOS

N2= 100000 A 500000 CICLOS

N3= 500000 A 2000000 CICLOS

N4= MAS DE 2000000 CICLOS

MATERIAL = A-36

DL= CARGA MUER PESO DE TOD

TL= CARRO DE CA PESO DEL CAR

LL= CARGA QUE S CONSISTE EN

VIF= FUERZAS DE INERCIA VERTIC

DEAD LOAD FACTOR (HLF)

HLF= 0.15>=0.005XHOIST SPEED (

INERTIA FORCES FROM DRIVES (IFD)IFD FACTOR= (2 50/32 2) X ACCELERATION

PERFIL INGLES 10x30 W10x30

d= 266 mm

tw= 7.6 mm

bf= 148 mm

tf= 13 mm

8/13/2019 MCAA


T= 218 mmk= 24 mm

k1= 13 mm

g= 90 mm

g1= 70 mm

diam en patin 22.2 mm

A= 57 cm2

rt= 3.9 cm

d/Af= 1.39 cm-1Ix= 7076 cm4

Sx= 531 cm3

rx= 11.1 cm

Iy= 695 cm4

Sy= 94 cm3

ry= 3.5 cm

4.72541311 -0.98705413 2.18179487

112.777078 0.37267292 8.86219852

8/13/2019 MCAA


8/13/2019 MCAA


10.472 in

0.299 in

5.827 in

0.512 in

8/13/2019 MCAA


0.945 in

8.835 in2

1.535 in

3.512170.002 in4

32.404 in3

16.697 in4

5.736 in3

-13.2644445

1.7351E-06

8/13/2019 MCAA


8/13/2019 MCAA


designación Peralte Alma Patín

d tw bf

mm x kg/m in. x lb/ft. mm mm mm

8/13/2019 MCAA


102 x 19.4 4x13 106 7.1 103

127 x 23.7 5x16 127 6.1 127

127 x 28.1 5x19 131 6.9 128

152 x 13.6 6x9 150 4.3 100

152 x 18.0 6x12 153 5.8 102

152 x 24.0 6x16 160 6.6 102

152 x 22.4 6x15 152 5.8 152

152 x 29.7 6x20 157 6.6 153

152 x 37.2 6x25 162 8.1 154

203 x 15.0 8x10 200 4.3 100

203 x 19.4 8x13 203 5.8 102

203 x 22.5 8x15 206 6.2 102

203 x 26.6 8x18 207 5.8 133

203 x 31.2 8x21 210 6.4 134

203 x 35.9 8x24 201 6.2 165

203 x 41.8 8x28 205 7.2 166

203 x 46.2 8x31 203 7.2 203

254 x 58.2 10x39 252 8 203

254 x 67.4 10x45 257 8.9 202

254 x 72.9 10x49 253 8.6 254

254 x 80.0 10x54 256 9.4 255

254 x 89 1 10x60 260 10 7 256

8/13/2019 MCAA


254 x 89.1 10x60 260 10.7 256

254 x 101.3 10x68 264 11.9 257

254 x 114.5 10x77 269 13.5 259

254 x 131.2 10x88 275 15.4 261

254 x 148.9 10x100 282 17.3 263

254 x 166.6 10x112 289 19.2 265

305 x 21.1 12x14 303 5 101

305 x 23.9 12x16 305 5.6 101305 x 28.2 12x19 309 6 102

305 x 32.8 12x22 313 6.6 102

305 x 38.7 12x26 310 5.8 165

305 x 44.5 12x30 313 6.6 166

305 x 52.2 12x35 318 7.6 167

305 x 59.8 12x40 303 7.5 203

305 x 66.9 12x45 306 8.5 204

305 x 74.4 12x50 310 9.4 205

305 x 79.0 12 x 53 306 8.8 254

305 x 86.1 12 x 58 310 9.1 254

305 x 96.7 12 x 65 308 9.9 305

305 x 106.9 12 x 72 311 10.9 306

356 X 44.8 14 X 30 352 6.9 171

356 X 50.6 14 X 34 355 7.2 171

356 X 56.7 14 X 38 358 7.9 172

356 X 63.8 14 X 43 347 7.8 203

8/13/2019 MCAA


356 X 63.8 14 X 43 347 7.8 203

356 X 71.4 14 X 48 350 8.6 204

356 X 79.0 14 X 53 354 9.4 205

356 X 90.7 14 X 61 353 9.5 254

356 X 101.3 14 X 68 357 10.5 255

356 X 110.4 14 X 74 360 11.4 256

356 X 122.1 14 X 82 363 13 257

356 X 134.2 14 X 90 356 11.2 369356 X 147.4 14 X 99 360 12.3 370

356 X 162.1 14 X 109 364 13.3 371

356 X 178.8 14 X 120 368 15.0 373

356 X 196.5 14 X 132 372 16.4 374

356 X 216.3 14 X 145 375 17.3 394

356 X 236.5 14 X 159 380 18.9 395

356 X 262.3 14 X 176 387 21.1 398

356 X 287.7 14 X 193 393 22.6 399

356 X 314.0 14 X 211 399 24.9 401

356 X 346.9 14 X 233 407 27.2 404

356 X 382.9 14 X 257 416 16.4 406

356 X 421.9 14 X 283 425 16.4 409

356 X 462.9 14 X 311 435 16.4 412

356 X 511.5 14 X 342 446 16.4 416

406 X 83.1 16 X 57 417 10.9 181

406 X 99.8 16 X 67 415 10.0 260

406 X 114.5 16 X 77 420 11.6 261

406 X 132.7 16 X 89 425 13.2 263

406 X 148.9 16 X 100 431 14.9 265

8/13/2019 MCAA


406 X 148.9 16 X 100 431 14.9 265

457 X 52.2 18 X 35 450 7.6 152

457 X 59.8 18 X 40 453 8.0 153

457 X 68.4 18 X 46 459 9.1 154

457 X 74.3 18 X 50 457 9.0 190

457 X 82.0 18 X 55 460 9.9 191

457 X 89.1 18 X 60 463 10.5 192457 X 96.7 18 X 65 466 11.4 193

457 X 105.3 18 X 71 469 12.6 194

457 X 112.9 18 X 76 463 10.8 280

457 X 128.1 18 X 86 467 12.2 282

457 X 144.3 18 X 97 472 13.6 283

457 X 157.5 18 X 106 476 15.0 284

457 X 177.8 18 X 119 482 16.6 286

533 X 65.8 21 X 44 525 8.9 165

533 X 74.4 21 X 50 529 9.7 166

533 X 84.6 21 X 57 535 10.3 166

533 X 92.7 21 X 62 533 10.2 209

533 X 101.3 21 X 68 537 10.9 210

533 X 108.9 21 X 73 539 11.6 211

610 X 174.2 24 X 117 616 14.0 325

610 X 195.0 24 X 131 622 15.4 327

610 X 217.8 24 X 146 628 16.5 328

610 X 241.6 24 X 162 635 17.9 329

686 X 125.6 27 X 84 678 11.7 253

8/13/2019 MCAA


686 X 140.3 27 X 94 684 12.4 254

686 X 151.9 27 X 102 688 13.1 254

686 X 169.7 27 X 114 693 14.5 256

686 X 217.3 27 X 146 695 15.4 355

686 X 240.1 27 X 161 701 16.8 356

686 X 264.9 27 X 178 706 18.4 358

762 X 147.4 30 X 99 753 13.2 265

762 X 160.5 30 X 108 758 13.8 266

762 X 173.2 30 X 116 762 14.4 267

762 X 184.9 30 X 124 766 14.9 267

762 X 197.0 30 X 132 770 15.6 268

762 X 257.3 30 X 173 773 16.6 381

762 X 284.1 30 X 191 779 18.0 382

762 X 314.0 30 X 211 786 19.7 384

838 X 175.7 33 X 118 835 14.0 292

838 X 194.0 33 X 130 840 14.7 292

833 X 210.7 33 X 141 846 14.4 293

838 X 226.4 33 X 152 851 16.1 294

838 X 299.3 33 X 201 855 18.2 400

8/13/2019 MCAA


13.5 195 29 17 140 75 22.2

16 193 32 17 140 80 25.4

14.2 193 30 17 140 75 28.6

15.6 193 32 17 140 80 28.6

17.3 193 33 19 140 80 28.6

8/13/2019 MCAA


19.6 194 35 19 140 80 28.6

22.1 193 38 21 140 85 28.6

25.1 193 41 21 140 90 28.6

28.4 193 44 22 140 90 28.6

31.8 193 48 24 140 95 28.6

5.7 268 17 13 60 65 12.7

6.7 266 19 13 60 65 12.78.9 268 21 13 60 70 12.7

10.8 268 22 13 60 70 12.7

9.7 266 22 13 90 70 25.4

11.2 266 24 13 90 70 25.4

13.2 267 25 14 90 70 28.6

13.1 240 32 19 140 80 22.2

14.6 243 32 21 140 80 25.4

16.3 240 35 21 140 80 25.4

14.6 243 32 21 140 80 28.6

16.3 240 35 21 140 80 28.6

15.4 241 33 21 140 80 28.6

17 241 35 22 140 80 28.6

9.8 304 24 16 90 70 28.6

11.6 304 25 16 90 70 28.6

13.1 304 27 16 90 75 28.6

13.5 280 33 22 140 80 22.2

8/13/2019 MCAA


15.1 280 35 22 140 80 25.4

16.8 281 37 24 140 85 25.4

16.4 280 37 24 140 85 28.6

18.3 280 38 24 140 85 28.6

19.9 281 40 24 140 85 28.6

21.7 281 41 25 140 90 28.6

18.0 286 35 22 140 80 70.019.8 287 37 22 140 85 70.0

21.8 284 40 22 140 85 70.0

23.9 285 41 24 140 90 70.0

26.2 287 43 24 140 90 70.0

27.7 287 44 25 140 90 70.0

30.2 287 48 25 140 95 70.0

33.3 287 51 27 140 100 70.0

36.6 287 54 27 140 100 70.0

39.6 287 57 29 140 105 28.6

43.7 287 60 30 140 105 28.6

48.0 286 65 30 140 110 28.6

52.6 285 70 32 140 115 28.6

57.4 286 75 33 140 120 28.6

62.7 287 79 35 140 125 28.6

18.2 347 35 22 90 80 25.4

16.9 348 35 21 140 80 25.4

19.3 346 37 22 140 85 25.4

22.2 347 40 22 140 85 25.4

25.0 345 43 24 140 90 25.4

8/13/2019 MCAA


10.8 392 29 19 90 75 22.2

13.3 394 30 21 90 75 22.2

15.4 395 32 21 90 80 25.4

14.5 393 32 21 90 80 28.6

16.0 393 33 21 90 80 28.6

17.7 393 35 21 90 80 28.619.1 393 37 22 90 85 28.6

20.6 393 38 22 90 85 28.6

17.3 393 35 21 140 80 28.6

19.6 394 37 22 140 85 28.6

22.1 393 40 22 140 85 28.6

23.9 393 41 24 140 90 28.6

26.9 393 44 24 140 90 28.6

11.4 464 30 22 90 75 25.4

13.6 462 33 22 90 80 25.4

16.5 465 35 22 90 80 25.4

15.6 463 35 22 140 80 25.4

17.7 464 37 22 140 85 25.4

18.8 463 38 24 140 85 25.4

8/13/2019 MCAA


Area r T d / Af Eje X - X

n patín S r

in. cm2

cm cm -1

cm4

cm3

cm

8/13/2019 MCAA


1/2 24.7 2.8 1.17 470 89 4.4

3/4 32.3 3.5 1.1 887 140 5.4

7/8 35.7 3.5 0.94 1091 167 5.5

1/2 17.3 2.6 2.74 683 91 6.3

1/2 22.9 2.7 2.12 920 120 6.3

1/2 30.6 2.7 1.51 1336 167 6.6

7/8 28.6 4.1 1.51 1211 159 6.5

7/8 37.9 4.2 1.11 1723 220 6.8

1 47.4 4.2 0.91 2223 274 6.9

1/2 19.1 2.5 3.85 1282 128 8.2

1/2 24.8 2.6 3.08 1648 162 8.2

1/2 28.6 2.6 2.52 1998 193 8.4

7/8 33.9 3.5 1.85 2576 249 8.7

1 39.7 3.6 1.55 3134 298 8.9

1 45.7 4.5 1.2 3446 342 8.7

1 53.2 4.5 1.04 4079 398 8.8

7/8 58.9 5.5 0.91 4579 451 8.8

7/8 74.2 5.5 0.93 8699 690 10.8

1 85.8 5.5 0.8 10323 805 11

1 1/8 92.9 7 0.7 11321 895 11

1 1/8 101.9 7 0.64 12612 983 11.1

1 1/8 113.6 7 0.59 14193 1093 11.2

8/13/2019 MCAA


1 1/8 129.0 7.1 0.53 16400 1240 11.3

1 1/8 145.8 7.1 0.47 18938 1408 11.4

1 1/8 167.1 7.2 0.42 22227 1614 11.5

1 1/8 189.7 7.2 0.38 25931 1835 11.7

1 1/8 212.3 7.3 0.34 29802 2065 11.8

1/2 26.8 2.4 0.25 3688 244 11.7

1/2 30.4 2.4 4.46 4287 280 11.91/2 35.9 2.5 2.42 5411 349 12.2

1/2 41.8 2.6 2.83 6493 416 12.5

1 49.4 4.4 1.95 8491 547 13.1

1 56.7 4.4 1.69 9906 633 13.2

1 1/8 66.5 4.4 1.44 11863 747 13.3

7/8 76.1 5.4 1.14 12903 850 13

1 85.2 5.5 1.03 14568 952 13.1

1 94.8 5.5 0.93 16400 1060 13.2

1 1/8 100.7 6.9 0.83 17690 1157 13.3

1 1/8 109.7 6.9 0.75 19771 1278 13.4

1 1/8 123.2 8.3 0.66 22185 1440 13.4

1 1/8 136.1 8.4 0.6 24850 1596 13.5

1 1/8 57.1 4.4 2.10 12112 688 14.6

1 1/8 64.5 4.5 1.79 14152 796 14.8

1 1/8 72.3 4.5 1.59 16025 895 14.9

7/8 81.3 5.4 1.27 17815 1027 14.8

8/13/2019 MCAA


1 91.0 5.4 1.14 20187 1152 14.9

1 100.7 5.5 1.03 22518 1275 15.0

1 1/8 115.5 6.9 0.85 26640 15111 15.2

1 1/8 129.0 6.9 0.77 30093 1688 15.3

1 1/8 140.7 6.9 0.71 33132 1835 15.3

1 1/8 155.5 7 0.65 36711 2016 15.4

7/8 171.0 10.1 0.54 41581 2343 15.67/8 187.8 10.2 0.49 46202 2573 15.7

7/8 206.5 10.2 0.45 51613 2835 15.8

7/8 227.8 10.3 0.41 57440 3114 15.8

7/8 250.3 10.3 0.38 63683 3425 16.0

7/8 275.5 10.9 0.34 71175 3802 16.1

7/8 301.3 10.9 0.32 79084 4162 16.2

7/8 334.2 11.0 0.29 89073 4605 16.37/8 366.5 11.0 0.30 99895 5080 16.5

1 1/8 400.0 11.1 0.25 110717 5539 16.6

1 1/8 442.0 11.2 0.23 125285 6145 16.8

1 1/8 487.8 11.3 0.21 141518 6800 17.0

1 1/8 537.5 11.3 0.2 159832 7522 17.2

1 1/8 589.7 11.4 0.18 180228 8292 17.5

1 1/8 651.7 11.5 0.17 203953 9160 17.7

1 1/8 108.4 4.7 1.27 31550 1511 17.1

1 1/8 127.1 7.0 0.95 39708 1917 17.7

1 1/8 145.8 7.0 0.83 46202 2196 17.8

1 1/8 169.0 7.1 0.75 54110 2540 17.9

1 1/8 189.7 7.1 0.65 62018 2868 18.0

8/13/2019 MCAA


7/8 66.5 3.8 2.73 21228 944 17.9

7/8 76.1 3.9 2.23 25473 1121 18.3

1 87.1 3.9 1.94 29636 1291 18.4

1 1/8 94.8 4.9 1.66 33298 1457 18.7

1 1/8 104.5 5.0 1.50 37045 1611 18.8

1 1/8 113.6 5.0 1.37 40957 1770 18.91 1/8 123.2 5.0 1.27 44537 1917 19.0

1 1/8 134.2 5.0 1.18 48699 2081 19.1

1 1/8 143.9 7.5 0.96 55359 2393 19.6

1 1/8 163.2 7.5 0.95 63683 2720 19.7

1 1/8 183.9 7.6 0.76 72840 3081 19.9

1 1/8 200.7 7.6 0.70 79500 3343 19.9

1 1/8 226.5 7.7 0.63 91154 3785 20.0

1 83.9 4.0 2.78 35088 1337 20.5

1 94.8 4.1 2.35 40957 1549 20.8

1 107.7 4.2 1.95 48699 1819 21.2

1 118.1 5.3 1.63 55359 2081 21.7

1 129.0 5.4 1.47 61602 2294 21.8

1 138.7 5.4 1.36 66597 2474 21.9

1 1/8 221.9 8.6 0.87 147345 4769 25.7

1 1/8 248.4 8.6 0.78 167324 5391 25.9

1 1/8 277.4 8.7 0.69 190633 6080 26.2

1 1/8 307.8 8.8 0.62 215191 6784 26.4

1 1/8 160.0 6.3 1.65 118626 3490 27.2

8/13/2019 MCAA


1 1/8 178.7 6.4 1.42 136107 3982 27.7

1 1/8 193.6 6.5 1.28 150675 4375 27.9

1 1/8 216.1 6.6 1.15 170238 4900 28.0

1 1/8 276.8 9.3 0.79 234337 6735 29.0

1 1/8 305.8 9.4 0.72 261392 7456 29.2

1 1/8 387.4 9.4 0.65 290945 8226 29.5

1 1/8 187.8 6.5 1.67 166076 4408 29.7

1 1/8 204.5 6.6 1.48 186055 4900 30.2

1 1/8 220.7 6.7 1.32 205201 5391 30.5

1 1/8 235.5 6.8 1.21 223100 5817 30.7

1 1/8 251.0 6.8 1.13 240165 6227 31.0

1 1/8 327.8 10.0 0.75 341309 8833 32.3

1 1/8 362.0 10.1 0.68 381683 9800 32.51 1/8 400.0 10.1 0.61 428717 10865 32.8

1 1/8 223.9 7.2 1.52 245576 5883 33.0

1 1/8 247.1 7.3 1.32 279290 6653 33.5

1 1/8 268.4 7.4 1.18 310091 7341 34.0

1 1/8 288.4 7.5 1.08 339644 7980 34.3

1 1/8 381.3 10.5 0.73 478665 11209 35.6

Eje Y - Y

S r

cm4

cm3

cm

161 31 2 5

8/13/2019 MCAA


161 31 2.5

313 49 3.2

380 60 3.3

91 18 2.3

124 25 2.3

184 36 2.5

388 51 3.7

554 72 3.8

712 92 3.9

87 17 2.1

114 22 2.1

142 28 2.2

332 50 3.1

407 61 3.2

762 92 4.1

903 109 4.1

1544 152 5.1

1873 185 5

2223 218 5.1

3888 306 6.5

4287 338 6.5

4828 377 6.5

5577 433 6 6

8/13/2019 MCAA


5577 433 6.6

6410 493 6.6

7451 570 6.7

8616 655 6.7

9823 742 6.8

98 20 1.9

117 23 2157 31 2.1

194 38 2.2

720 88 3.8

845 102 3.9

1020 122 3.9

1836 180 4.92081 203 4.9

2343 228 5

3987 315 6.3

4454 351 6.4

7242 477 7.7

8116 531 7.7

816 95 3.8

970 113 3.9

1111 129 3.9

1881 185 4.8

2139 210 4 9

8/13/2019 MCAA


2139 210 4.9

2402 234 4.9

4454 352 6.2

5036 397 6.2

5577 436 6.3

6160 480 6.3

15068 818 9.416732 905 9.4

18605 1003 9.5

20603 1106 9.5

22810 1221 9.6

28179 1431 10.1

31134 1576 10.2

34880 1753 10.238751 1950 10.3

42872 2130 10.3

47866 2376 10.4

53694 2638 10.5

59937 2933 10.6

67013 3261 10.7

75338 3622 10.8

1794 198 4.1

4953 380 6.2

5744 441 6.3

6785 515 6.3

7742 585 6.4

8/13/2019 MCAA


637 84 3.1

795 104 3.2

937 122 3.3

1669 175 4.2

1869 195 4.2

2085 218 4.32281 236 4.3

2510 259 4.3

6327 452 6.6

7284 518 6.7

8366 592 6.7

9157 646 6.8

10531 736 6.8

862 104 3.2

1036 125 3.3

1274 153 3.4

2393 228 4.5

2693 257 4.6

2939 279 4.6

12362 762 7.5

14152 869 7.5

16272 991 7.6

18439 1121 7.7

4412 347 5.3

5161 406 5 4

8/13/2019 MCAA


5161 406 5.4

5786 456 5.5

6618 516 5.5

18439 1041 8.2

20687 1162 8.2

23100 1291 8.3

5328 401 5.3

6077 457 5.5

6826 513 5.6

7534 564 5.7

8158 610 5.7

24891 1308 8.7

28012 1467 8.831509 1639 8.9

7784 534 5.9

9074 621 6.1

10240 700 6.2

11363 773 6.3

31176 1560 9.0

bf

tf Y

k1

k

X X

8/13/2019 MCAA


IRPERFIL RECTANGULAR Y k

Instituto Mexicano de la Construcción en Acero, A.C. 2a Edición g

Peralte Alma

mm x kg/m in. x lb/ft. mm mm mm mm mm mm mm mm mm mm in. cm2

cm cm -1

cm4

cm3

102 x 19.4 4 x 13 106 7.1 103 8.8 71 17 11 60 50 12.7 1/2 24.7 2.8 1.17 470 89

127 x 23.7 5 x 16 127 6.1 127 9.1 89 19 11 70 50 19 3/4 32.3 3.5 1.1 887 140

127 x 28.1 5 x 19 131 6.9 128 10.9 90 21 11 70 55 22.2 7/8 35.7 3.5 0.94 1091 167

152 x 13.6 6 x 9 150 4.3 100 5.5 121 14 10 60 45 12.7 1/2 17.3 2.6 2.74 683 91

152 x 18.0 6 x 12 153 5.8 102 7.1 121 16 10 60 55 12.7 1/2 22.9 2.7 2.12 920 120

152 x 24.0 6 x 16 160 6.6 102 10.3 121 19 11 60 55 12.7 1/2 30.6 2.7 1.51 1336 167

152 x 22.4 6 x 15 152 5.8 152 6.6 120 16 10 90 55 22.2 7/8 28.6 4.1 1.51 1211 159

152 x 29.7 6 x 20 157 6.6 153 9.3 119 19 11 90 55 22.2 7/8 37.9 4.2 1.11 1723 220

152 x 37.2 6 x 25 162 8.1 154 11.6 121 21 11 90 60 25.4 1 47.4 4.2 0.91 2223 274

203 x 15.0 8 x 10 200 4.3 100 5.2 169 16 11 60 55 12.7 1/2 19.1 2.5 3.85 1282 128

203 x 19.4 8 x 13 203 5.8 102 6.5 168 17 11 60 55 12.7 1/2 24.8 2.6 3.08 1648 162

203 x 22.5 8 x 15 206 6.2 102 8.0 168 19 13 60 55 12.7 1/2 28.6 2.6 2.52 1998 193

d tw bf tf T k k1 g g1

Gramil Sujetadores

Area

Eje X - X

Diám. Máx.

en patín S

designación

d x peso

Patín Distancia

r T d / Af

203 x 26.6 8 x 18 207 5.8 133 8.4 169 19 11 70 55 22.2 7/8 33.9 3.5 1.85 2576 249

203 x 31.2 8 x 21 210 6.4 134 10.2 169 21 13 70 60 25.4 1 39.7 3.6 1.55 3134 298

203 x 35.9 8 x 24 201 6.2 165 10.2 157 22 14 90 60 25.4 1 45.7 4.5 1.2 3446 342

203 x 41.8 8 x 28 205 7.2 166 11.8 157 24 14 90 60 25.4 1 53.2 4.5 1.04 4079 398

203 x 46 2 8 x 31 203 7 2 203 11 156 24 14 140 60 22 2 7/8 58 9 5 5 0 91 4579 451

8/13/2019 MCAA


203 x 46.2 8 x 31 203 7.2 203 11 156 24 14 140 60 22.2 7/8 58.9 5.5 0.91 4579 451

203 x 52.2 8 x 35 206 7.9 204 12.6 155 25 14 140 60 25.4 1 66.5 5.6 0.81 5286 511

203 x 59.3 8 x 40 210 9.1 205 14.2 156 27 16 140 65 25.4 1 75.5 5.6 0.72 6077 582

203 x 71.4 8 x 48 216 10.2 206 17.4 156 30 16 140 65 25.4 1 91.0 5.7 0.6 7659 710

203 x 86.6 8 x 58 222 13 209 20.6 156 33 17 140 70 25.4 1 110.3 5.7 0.52 9490 852

203 x 99.8 8 x 67 229 14.5 210 23.7 156 37 17 140 75 25.4 1 127.1 5.8 0.46 11321 990

254 x 17.9 10 x 12 251 4.8 101 5.3 219 16 11 60 65 12.7 1/2 22.8 2.4 4.67 2239 179

254 x 22.3 10 x 15 254 5.8 102 6.9 219 17 11 60 65 12.7 1/2 28.5 2.5 3.64 2686 226

254 x 25.3 10 x 17 257 6.1 102 8.4 219 19 13 60 65 12.7 1/2 32.2 2.6 3.01 3409 265

254 x 28.5 10 x 19 260 6.4 102 10 219 21 13 60 70 12.7 1/2 36.3 2.6 2.54 4008 308

254 x 32.9 10 x 22 258 6.1 146 9.1 220 19 13 90 65 19 3/4 41.9 3.8 1.93 4912 380

254 x 38.5 10 x 26 262 6.6 147 11.2 218 22 13 90 70 19 3/4 49.1 3.9 1.6 5994 457

254 x 44.8 10 x 30 266 7.6 148 13 218 24 13 90 70 22.2 7/8 57.0 3.9 1.39 7076 531

254 x 49.2 10 x 33 247 7.4 202 11 193 27 17 140 65 22.2 7/8 62.6 5.4 1.11 7076 574

254 x 58.2 10 x 39 252 8 203 13.5 195 29 17 140 75 22.2 7/8 74.2 5.5 0.93 8699 690

254 x 67.4 10 x 45 257 8.9 202 16 193 32 17 140 80 25.4 1 85.8 5.5 0.8 10323 805

254 x 72.9 10 x 49 253 8.6 254 14.2 193 30 17 140 75 28.6 1 1/8 92.9 7 0.7 11321 895

254 x 80.0 10 x 54 256 9.4 255 15.6 193 32 17 140 80 28.6 1 1/8 101.9 7 0.64 12612 983

254 x 89.1 10 x 60 260 10.7 256 17.3 193 33 19 140 80 28.6 1 1/8 113.6 7 0.59 14193 1093

254 x 101.3 10 x 68 264 11.9 257 19.6 194 35 19 140 80 28.6 1 1/8 129.0 7.1 0.53 16400 1240

254 x 114.5 10 x 77 269 13.5 259 22.1 193 38 21 140 85 28.6 1 1/8 145.8 7.1 0.47 18938 1408

254 x 131.2 10 x 88 275 15.4 261 25.1 193 41 21 140 90 28.6 1 1/8 167.1 7.2 0.42 22227 1614

254 x 148.9 10 x 100 282 17.3 263 28.4 193 44 22 140 90 28.6 1 1/8 189.7 7.2 0.38 25931 1835

254 x 166.6 10 x 112 289 19.2 265 31.8 193 48 24 140 95 28.6 1 1/8 212.3 7.3 0.34 29802 2065

305 x 21.1 12 x 14 303 5 101 5.7 268 17 13 60 65 12.7 1/2 26.8 2.4 0.25 3688 244

305 x 23.9 12 x 16 305 5.6 101 6.7 266 19 13 60 65 12.7 1/2 30.4 2.4 4.46 4287 280

305 x 28.2 12 x 19 309 6 102 8.9 268 21 13 60 70 12.7 1/2 35.9 2.5 2.42 5411 349

305 x 32.8 12 x 22 313 6.6 102 10.8 268 22 13 60 70 12.7 1/2 41.8 2.6 2.83 6493 416

8/13/2019 MCAA


305 x 38.7 12 x 26 310 5.8 165 9.7 266 22 13 90 70 25.4 1 49.4 4.4 1.95 8491 547

305 x 44.5 12 x 30 313 6.6 166 11.2 266 24 13 90 70 25.4 1 56.7 4.4 1.69 9906 633

305 x 52.2 12 x 35 318 7.6 167 13.2 267 25 14 90 70 28.6 1 1/8 66.5 4.4 1.44 11863 747

305 x 59.8 12 x 40 303 7.5 203 13.1 240 32 19 140 80 22.2 7/8 76.1 5.4 1.14 12903 850

305 x 66.9 12 x 45 306 8.5 204 14.6 243 32 21 140 80 25.4 1 85.2 5.5 1.03 14568 952

305 x 74.4 12 x 50 310 9.4 205 16.3 240 35 21 140 80 25.4 1 94.8 5.5 0.93 16400 1060

305 x 79.0 12 x 53 306 8.8 254 14.6 243 32 21 140 80 28.6 1 1/8 100.7 6.9 0.83 17690 1157

305 x 86.1 12 x 58 310 9.1 254 16.3 240 35 21 140 80 28.6 1 1/8 109.7 6.9 0.75 19771 1278

305 x 96.7 12 x 65 308 9.9 305 15.4 241 33 21 140 80 28.6 1 1/8 123.2 8.3 0.66 22185 1440

305 x 106.9 12 x 72 311 10.9 306 17 241 35 22 140 80 28.6 1 1/8 136.1 8.4 0.6 24850 1596

305 x 117.5 12 x 79 314 11.9 307 18.7 241 37 22 140 85 28.6 1 1/8 149.7 8.4 0.55 27554 1753

305 x 129.7 12 x 87 318 13.1 308 20.6 242 38 22 140 85 28.6 1 1/8 165.2 8.4 0.5 30801 1934

305 x 142.8 12 x 96 323 14 309 22.9 240 41 22 140 90 28.6 1 1/8 181.9 8.5 0.46 34672 2147

305 x 158.0 12 x 106 327 15.5 310 25.1 242 43 24 140 90 28.6 1 1/8 201.3 8.5 0.42 38834 2376

305 x 178.8 12 x 120 333 18 312 28.1 241 46 25 140 95 28.6 1 1/8 227.8 8.6 0.38 44537 2671305 x 202.1 12 x 136 341 20.1 315 31.8 242 49 25 140 95 28.6 1 1/8 257.4 8.7 0.34 51613 3048

305 x 226.4 12 x 152 348 22.1 317 35.6 240 54 27 140 100 28.6 1 1/8 288.4 8.7 0.31 59521 3425

305 x 253.2 12 x 170 356 24.4 319 39.6 242 57 29 140 105 28.6 1 1/8 322.6 8.8 0.28 68678 3851

305 x 282.6 12 x 190 365 26.9 322 44.1 241 62 30 140 110 28.6 1 1/8 360.0 8.9 0.26 78667 4310

305 x 313.0 12 x 210 374 30 325 48.3 240 67 32 140 115 28.6 1 1/8 398.7 9 0.24 89073 4785

305 x 342.9 12 x 230 382 32.6 328 52.6 243 70 32 140 115 28.6 1 1/8 436.8 9 0.22 100728 5260

305 x 375.3 12 x 252 391 35.4 330 57.2 242 75 33 140 120 28.6 1 1/8 478.1 9.1 0.21 113215 5785

305 x 414.3 12 x 279 103 38.9 334 62.7 241 81 35 140 130 28.6 1 1/8 528.4 9.2 0.19 129448 6440

305 x 453.8 12 x 305 415 41.3 336 68.7 240 87 37 140 135 28.6 1 1/8 578.1 9.3 0.18 147762 7128

305 x 500.1 12 x 336 427 45.1 340 75.1 240 94 38 140 140 28.6 1 1/8 637.4 9.4 0.17 168990 7915

356 X 32.9 14 X 22 349 5.8 127 8.5 305 22 14 70 70 19.0 3/4 41.9 3.2 3.23 8283 475

356 X 38.9 14 X 26 353 6.4 128 10.7 306 24 14 70 70 22.2 7/8 49.6 3.3 2.59 10198 578

356 X 44.8 14 X 30 352 6.9 171 9.8 304 24 16 90 70 28.6 1 1/8 57.1 4.4 2.10 12112 688

8/13/2019 MCAA


356 X 44.8 14 X 30 352 6.9 171 9.8 304 24 16 90 70 28.6 1 1/8 57.1 4.4 2.10 12112 688

356 X 50.6 14 X 34 355 7.2 171 11.6 304 25 16 90 70 28.6 1 1/8 64.5 4.5 1.79 14152 796

356 X 56.7 14 X 38 358 7.9 172 13.1 304 27 16 90 75 28.6 1 1/8 72.3 4.5 1.59 16025 895

356 X 63.8 14 X 43 347 7.8 203 13.5 280 33 22 140 80 22.2 7/8 81.3 5.4 1.27 17815 1027

356 X 71.4 14 X 48 350 8.6 204 15.1 280 35 22 140 80 25.4 1 91.0 5.4 1.14 20187 1152

356 X 79.0 14 X 53 354 9.4 205 16.8 281 37 24 140 85 25.4 1 100.7 5.5 1.03 22518 1275

356 X 90.7 14 X 61 353 9.5 254 16.4 280 37 24 140 85 28.6 1 1/8 115.5 6.9 0.85 26640 15111

356 X 101.3 14 X 68 357 10.5 255 18.3 280 38 24 140 85 28.6 1 1/8 129.0 6.9 0.77 30093 1688

356 X 110.4 14 X 74 360 11.4 256 19.9 281 40 24 140 85 28.6 1 1/8 140.7 6.9 0.71 33132 1835

356 X 122.1 14 X 82 363 13 257 21.7 281 41 25 140 90 28.6 1 1/8 155.5 7 0.65 36711 2016

356 X 134.2 14 X 90 356 11.2 369 18.0 286 35 22 140 80 70.0 7/8 171.0 10.1 0.54 41581 2343

356 X 147.4 14 X 99 360 12.3 370 19.8 287 37 22 140 85 70.0 7/8 187.8 10.2 0.49 46202 2573

356 X 162.1 14 X 109 364 13.3 371 21.8 284 40 22 140 85 70.0 7/8 206.5 10.2 0.45 51613 2835

356 X 178.8 14 X 120 368 15.0 373 23.9 285 41 24 140 90 70.0 7/8 227.8 10.3 0.41 57440 3114

356 X 196.5 14 X 132 372 16.4 374 26.2 287 43 24 140 90 70.0 7/8 250.3 10.3 0.38 63683 3425

356 X 216.3 14 X 145 375 17.3 394 27.7 287 44 25 140 90 70.0 7/8 275.5 10.9 0.34 71175 3802356 X 236.5 14 X 159 380 18.9 395 30.2 287 48 25 140 95 70.0 7/8 301.3 10.9 0.32 79084 4162

356 X 262.3 14 X 176 387 21.1 398 33.3 287 51 27 140 100 70.0 7/8 334.2 11.0 0.29 89073 4605

356 X 287.7 14 X 193 393 22.6 399 36.6 287 54 27 140 100 70.0 7/8 366.5 11.0 0.30 99895 5080

356 X 314.0 14 X 211 399 24.9 401 39.6 287 57 29 140 105 28.6 1 1/8 400.0 11.1 0.25 110717 5539

356 X 346.9 14 X 233 407 27.2 404 43.7 287 60 30 140 105 28.6 1 1/8 442.0 11.2 0.23 125285 6145

356 X 382.9 14 X 257 416 16.4 406 48.0 286 65 30 140 110 28.6 1 1/8 487.8 11.3 0.21 141518 6800

8/13/2019 MCAA


8/13/2019 MCAA


610 X 140.3 24 X 94 617 13.1 230 22.2 535 41 25 140 90 28.6 1 1/8 178.7 5.9 1.21 112382 3638

610 X 155.0 24 X 104 611 12.7 324 19.1 535 38 25 140 85 28.6 1 1/8 167.4 8.5 0.99 129031 4228

610 X 174.2 24 X 117 616 14.0 325 21.6 534 41 25 140 90 28.6 1 1/8 221.9 8.6 0.87 147345 4769

610 X 195.0 24 X 131 622 15.4 327 24.4 533 44 27 140 90 28.6 1 1/8 248.4 8.6 0.78 167324 5391

610 X 217.8 24 X 146 628 16.5 328 27.7 533 48 27 140 95 28.6 1 1/8 277.4 8.7 0.69 190633 6080

610 X 241.6 24 X 162 635 17.9 329 31.1 533 51 27 140 100 28.6 1 1/8 307.8 8.8 0.62 215191 6784

8/13/2019 MCAA


686 X 125.6 27 X 84 678 11.7 253 16.3 609 35 24 140 80 28.6 1 1/8 160.0 6.3 1.65 118626 3490

686 X 140.3 27 X 94 684 12.4 254 18.9 611 37 24 140 85 28.6 1 1/8 178.7 6.4 1.42 136107 3982

686 X 151.9 27 X 102 688 13.1 254 21.1 609 40 24 140 85 28.6 1 1/8 193.6 6.5 1.28 150675 4375

686 X 169.7 27 X 114 693 14.5 256 23.6 611 41 24 140 90 28.6 1 1/8 216.1 6.6 1.15 170238 4900

686 X 217.3 27 X 146 695 15.4 355 24.8 610 43 25 140 90 28.6 1 1/8 276.8 9.3 0.79 234337 6735

686 X 240.1 27 X 161 701 16.8 356 27.4 609 46 25 140 95 28.6 1 1/8 305.8 9.4 0.72 261392 7456

686 X 264.9 27 X 178 706 18.4 358 30.2 611 48 27 140 95 28.6 1 1/8 387.4 9.4 0.65 290945 8226

762 X 147.4 30 X 99 753 13.2 265 17.0 680 37 25 140 85 28.6 1 1/8 187.8 6.5 1.67 166076 4408

762 X 160.5 30 X 108 758 13.8 266 19.3 678 40 25 140 85 28.6 1 1/8 204.5 6.6 1.48 186055 4900

762 X 173.2 30 X 116 762 14.4 267 21.6 680 41 25 140 90 28.6 1 1/8 220.7 6.7 1.32 205201 5391

762 X 184.9 30 X 124 766 14.9 267 21.6 681 43 25 140 90 28.6 1 1/8 235.5 6.8 1.21 223100 5817

762 X 197.0 30 X 132 770 15.6 268 25.4 681 44 27 140 90 28.6 1 1/8 251.0 6.8 1.13 240165 6227

762 X 257.3 30 X 173 773 16.6 381 27.1 678 48 27 140 95 28.6 1 1/8 327.8 10.0 0.75 341309 8833

762 X 284.1 30 X 191 779 18.0 382 30.1 681 49 27 140 95 28.6 1 1/8 362.0 10.1 0.68 381683 9800

762 X 314.0 30 X 211 786 19.7 384 33.4 678 54 29 140 100 28.6 1 1/8 400.0 10.1 0.61 428717 10865

838 X 175.7 33 X 118 835 14.0 292 18.8 755 40 27 140 85 28.6 1 1/8 223.9 7.2 1.52 245576 5883

838 X 194.0 33 X 130 840 14.7 292 21.7 755 43 27 140 90 28.6 1 1/8 247.1 7.3 1.32 279290 6653

833 X 210.7 33 X 141 846 14.4 293 24.4 757 44 27 140 90 28.6 1 1/8 268.4 7.4 1.18 310091 7341

838 X 226.4 33 X 152 851 16.1 294 26.8 755 48 29 140 95 28.6 1 1/8 288.4 7.5 1.08 339644 7980

838 X 299.3 33 X 201 855 18.2 400 29.2 757 49 29 140 95 28.6 1 1/8 381.3 10.5 0.73 478665 11209

838 X 329.2 33 X 221 862 19.7 401 32.4 758 52 30 140 100 28.6 1 1/8 419.3 10.5 0.66 532774 12405

838 X 241 33 X 241 868 21.1 403 35.6 757 56 30 140 105 28.6 1 1/8 457.4 10.6 0.61 591047 13585

914 X 201.1 36 X 135 903 15.2 304 20.1 817 43 29 140 90 28.6 1 1/8 256.1 7.4 1.48 324659 7149

914 X 223.9 36 X 150 911 15.9 304 23.9 815 48 29 140 95 28.6 1 1/8 285.2 7.6 1.25 376272 8259

914 X 238.0 36 X 160 915 16.5 305 25.9 816 49 29 140 95 28.6 1 1/8 303.2 7.7 1.16 405824 8882

914 X 253.2 36 X 170 919 17.3 306 27.9 817 51 30 140 100 28.6 1 1/8 322.6 7.7 1.08 437042 9504

914 X 271.5 36 X 182 923 18.4 307 30.0 815 54 30 140 100 28.6 1 1/8 345.8 7.7 1.00 470400 10209

8/13/2019 MCAA


914 X 288.7 36 X 194 927 19.4 308 32.0 816 56 30 140 105 28.6 1 1/8 367.8 7.8 0.94 503638 10881

914 X 313.0 36 X 210 932 21.1 309 34.5 814 59 32 140 105 28.6 1 1/8 398.7 7.8 0.87 549424 11782

914 X 342.4 36 X 220 912 19.3 418 32.0 791 60 37 140 105 28.6 1 1/8 436.2 10.9 0.68 624345 13716

914 X 635.2 36 X 245 916 20.3 419 34.3 789 64 37 140 110 28.6 1 1/8 465.2 11.0 0.64 670130 14666

914 X 387.4 36 X 260 921 21.3 420 36.6 791 65 38 140 110 28.6 1 1/8 493.6 11.0 0.60 720078 15617

914 X 417.3 36 X 280 928 22.5 422 39.9 791 68 38 140 115 28.6 1 1/8 531.6 11.1 0.55 786675 19879

914 X 447.2 36 X 300 933 24.0 423 42.7 790 71 38 140 120 28.6 1 1/8 569.7 11.2 0.52 844947 18190

8/13/2019 MCAA


8/13/2019 MCAA


cm cm4

cm3

cm

4.4 161 31 2.5

5.4 313 49 3.2

5.5 380 60 3.3

6.3 91 18 2.3

6.3 124 25 2.3

6.6 184 36 2.5

6.5 388 51 3.7

6.8 554 72 3.8

6.9 712 92 3.9

8.2 87 17 2.1

8.2 114 22 2.1

8.4 142 28 2.2

S r

Eje Y - Y

r

8.7 332 50 3.1

8.9 407 61 3.2

8.7 762 92 4.1

8.8 903 109 4.1

8.8 1544 152 5.1

8.9 1773 174 5.2

9 2044 200 5.2

9.2 2535 246 5.3

8/13/2019 MCAA


9 535 6 5 3

9.3 3126 300 5.3

9.4 3688 351 5.4

9.9 91 18 2

10 120 24 2.1

10.3 148 29 2.1

10.5 176 35 2.2

10.8 475 65 3.4

11 587 80 3.5

11.1 695 94 3.5

10.6 1523 151 4.9

10.8 1873 185 5

11 2223 218 5.1

11 3888 306 6.5

11.1 4287 338 6.5

11.2 4828 377 6.5

11.3 5577 433 6.6

11.4 6410 493 6.6

11.5 7451 570 6.7

11.7 8616 655 6.7

11.8 9823 742 6.8

11.7 98 20 1.9

11.9 117 23 2

12.2 157 31 2.1

12.5 194 38 2.2

13.1 720 88 3.8

13.2 845 102 3.9

13.3 1020 122 3.9

8/13/2019 MCAA


13 1836 180 4.9

13.1 2081 203 4.9

13.2 2343 228 5

13.3 3987 315 6.3

13.4 4454 351 6.4

13.4 7242 477 7.7

13.5 8116 531 7.7

13.6 8991 587 7.7

13.7 10031 651 7.8

13.8 11238 728 7.8

13.9 12529 808 7.9

14 14360 920 8

14.2 16566 1052 8

14.4 18897 1193 8.1

14.6 21519 1349 8.2

14.8 24516 1524 8.3

15 27638 1704 8.3

15.2 30884 1885 8.4

15.4 34464 2081 8.5

15.6 39000 2343 8.6

16 43704 2606 8.7

16.3 49531 2900 8.8

14.1 291 46 2.6

14.4 371 58 2.7

14.6 816 95 3.8

14.8 970 113 3.9

14.9 1111 129 3.9

8/13/2019 MCAA


14.8 1881 185 4.8

14.9 2139 210 4.9

15.0 2402 234 4.9

15.2 4454 352 6.2

15.3 5036 397 6.2

15.3 5577 436 6.3

15.4 6160 480 6.3

15.6 15068 818 9.4

15.7 16732 905 9.4

15.8 18605 1003 9.5

15.8 20603 1106 9.5

16.0 22810 1221 9.6

16.1 28179 1431 10.1

16.2 31134 1576 10.2

16.3 34880 1753 10.2

16.5 38751 1950 10.3

16.6 42872 2130 10.3

16.8 47866 2376 10.4

17.0 53694 2638 10.5

8/13/2019 MCAA


18.8 1869 195 4.2

18.9 2085 218 4.3

19.0 2281 236 4.3

19.1 2510 259 4.3

19.6 6327 452 6.6

19.7 7284 518 6.7

19.9 8366 592 6.7

19.9 9157 646 6.8

20.0 10531 736 6.8

8/13/2019 MCAA


20.5 862 104 3.2

20.8 1036 125 3.3

21.2 1274 153 3.4

21.7 2393 228 4.5

21.8 2693 257 4.6

21.9 2939 279 4.6

22.0 3388 320 4.6

22.1 3867 362 4.7

22.9 10323 660 7.3

23.0 11405 729 7.4

23.1 12695 806 7.4

23.2 13860 877 7.4

23.3 15650 985 7.5

23.1 1211 136 3.4

23.4 1436 161 3.5

24.3 2930 257 4.7

24.6 3434 302 4.9

24.9 3929 342 5.0

25.1 4537 393 5.0

25.7 10780 667 7.4

25.7 12362 762 7.5

25.9 14152 869 7.5

26.2 16272 991 7.6

26.4 18439 1121 7.7

27.2 4412 347 5.3

27.7 5161 406 5.4

27.9 5786 456 5.5

8/13/2019 MCAA


28.0 6618 516 5.5

29.0 18439 1041 8.2

29.2 20687 1162 8.2

29.5 23100 1291 8.3

29.7 5328 401 5.3

30.2 6077 457 5.5

30.5 6826 513 5.6

30.7 7534 564 5.7

31.0 8158 610 5.7

32.3 24891 1308 8.7

32.5 28012 1467 8.8

32.8 31509 1639 8.9

33.0 7784 534 5.9

33.5 9074 621 6.1

34.0 10240 700 6.2

34.3 11363 773 6.3

35.6 31176 1560 9.0

35.8 34963 1737 9.1

35.8 28793 1934 9.2

35.6 9365 618 6.0

36.3 11238 739 6.3

36.6 12279 805 6.4

36.8 13319 872 6.4

36.8 14443 944 6.5

37.0 15609 1014 6.5

37.1 17107 1106 6.6

8/13/2019 MCAA


37.8 39126 1868 9.5

38.1 42039 2016 9.5

38.1 45369 2163 9.6

38.4 49950 2360 9.7

38.6 54110 2556 9.7

8/13/2019 MCAA


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