programa para calcular espectros
TRANSCRIPT
![Page 1: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/1.jpg)
Determinacion Espectro de Respuesta ¿Estructuracion en base a muros?
Categoria de la estructura 2 (1,2,3,4)Tipo de Suelo d (A,B,C,D,E,F) Periodo del modo con mayor masa traslacional en eje XZona Sismica 3 (1,2,3) Periodo del modo con mayor masa traslacional en eje YR 7 Factor de reduccion R para sismo en direccion xRo 11 Factor de reduccion R para sismo en direccion yS 1.2 Factor de reduccion R + Reduccion por Qmax para sismo en xTo 0.75 Factor de reduccion R + Reduccion por Qmax para sismo en yT' 0.85n 1.8P 1I 1Ao 3.924
Limitaciones del esfeurzo de corte basal Espectros ElasticosMasa Sismica 1200 Tn α TnPeso Sismico 11772 0 1 0Cmax 0.168 0.05 1.2996149 0.05factor reduccion f 0.1 1.5962164 0.1Corte basal minimo 784.8 0.15 1.8849206 0.15Corte basal maximo 1977.696 0.2 2.1590579 0.2Corte Basal Direccion x 1519 0.25 2.4107143 0.25Corte Basal Direccion y 1061 0.3 2.6315789 0.3
0.35 2.8140129 0.350.4 2.9521482 0.4
Intervalo entre periodos (s) 0.05 0.45 3.0427632 0.45Espectro hasta periodo (s) 3 0.5 3.0857143 0.5
0.55 3.0838292 0.550.6 3.042328 0.6
0.65 2.9679648 0.650.7 2.8681157 0.7
0.75 2.75 0.750.8 2.6201312 0.8
0.85 2.484013 0.850.9 2.3460411 0.9
0.95 2.2095466 0.951 2.0769231 1
1.05 1.9497863 1.051.1 1.8291378 1.1
1.15 1.7155128 1.151.2 1.6091052 1.2
1.25 1.5098684 1.251.3 1.4175934 1.3
1.35 1.3319672 1.351.4 1.2526158 1.4
1.45 1.1791349 1.45
![Page 2: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/2.jpg)
1.5 1.1111111 1.51.55 1.0481366 1.55
1.6 0.9898182 1.61.65 0.935783 1.65
1.7 0.8856815 1.71.75 0.8391892 1.75
1.8 0.7960065 1.81.85 0.7558581 1.85
1.9 0.7184919 1.91.95 0.6836779 1.95
2 0.6512059 22.05 0.620885 2.05
2.1 0.592541 2.12.15 0.5660155 2.15
2.2 0.5411646 2.22.25 0.5178571 2.25
2.3 0.4959736 2.32.35 0.4754053 2.35
2.4 0.4560531 2.42.45 0.4378264 2.45
2.5 0.4206426 2.52.55 0.4044264 2.55
2.6 0.3891084 2.62.65 0.3746256 2.65
2.7 0.3609199 2.72.75 0.3479381 2.75
2.8 0.3356314 2.82.85 0.3239548 2.85
2.9 0.3128668 2.92.95 0.3023295 2.95
3 0.2923077 3
![Page 3: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/3.jpg)
![Page 4: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/4.jpg)
![Page 5: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/5.jpg)
![Page 6: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/6.jpg)
![Page 7: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/7.jpg)
![Page 8: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/8.jpg)
![Page 9: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/9.jpg)
![Page 10: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/10.jpg)
![Page 11: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/11.jpg)
![Page 12: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/12.jpg)
![Page 13: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/13.jpg)
![Page 14: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/14.jpg)
![Page 15: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/15.jpg)
![Page 16: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/16.jpg)
![Page 17: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/17.jpg)
![Page 18: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/18.jpg)
![Page 19: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/19.jpg)
![Page 20: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/20.jpg)
![Page 21: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/21.jpg)
![Page 22: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/22.jpg)
![Page 23: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/23.jpg)
![Page 24: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/24.jpg)
![Page 25: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/25.jpg)
![Page 26: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/26.jpg)
![Page 27: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/27.jpg)
![Page 28: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/28.jpg)
![Page 29: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/29.jpg)
![Page 30: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/30.jpg)
![Page 31: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/31.jpg)
![Page 32: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/32.jpg)
¿Estructuracion en base a muros? no (si, no)15
Periodo del modo con mayor masa traslacional en eje X 0.77Periodo del modo con mayor masa traslacional en eje Y 1 1/RFactor de reduccion R para sismo en direccion x 6.3103448275862 0.1584699Factor de reduccion R para sismo en direccion y 7.027397260274 0.1423002Factor de reduccion R + Reduccion por Qmax para sismo en x 4.846757941111 0.2063235Factor de reduccion R + Reduccion por Qmax para sismo en y 3.7700781581955 0.2652465
Espectros Elasticos Espectros ReducidosSa elastico (m/s^2) Tn Sa elastico (1/g) Tn Sa X (m/s^2) Tn
4.7088 0 0.48 0 0.74620327869 06.11962677725119 0.05 0.6238151658768 0.05 0.96977692099 0.057.51626367129767 0.1 0.7661838604789 0.1 1.19110189327 0.18.87571428571429 0.15 0.9047619047619 0.15 1.40653395785 0.1510.1665716778133 0.2 1.0363477755161 0.2 1.61109605823 0.211.3515714285714 0.25 1.1571428571429 0.25 1.79888290398 0.2512.3915789473684 0.3 1.2631578947368 0.3 1.96369283865 0.313.2506239913932 0.35 1.35072619688 0.35 2.09982565984 0.35
13.90107537947 0.4 1.4170311294057 0.4 2.20290265576 0.414.3277631578947 0.45 1.4605263157895 0.45 2.27051984469 0.4514.5300114285714 0.5 1.4811428571429 0.5 2.3025701171 0.5
14.521134721632 0.55 1.4802379940501 0.55 2.30116342583 0.5514.3257142857143 0.6 1.4603174603175 0.6 2.27019516003 0.613.9755527638191 0.65 1.4246231155779 0.65 2.21470508279 0.6513.5053832325543 0.7 1.3766955384867 0.7 2.14019734286 0.7
12.9492 0.75 1.32 0.75 2.05205901639 0.7512.3376736715299 0.8 1.2576629634587 0.8 1.95515047254 0.811.6967205598456 0.85 1.1923262548263 0.85 1.85357866795 0.8511.0470381231672 0.9 1.1260997067449 0.9 1.75062352772 0.910.4043130740668 0.95 1.0605823724839 0.95 1.64877092431 0.959.77981538461538 1 0.9969230769231 1 1.54980680958 19.18115384615384 1.05 0.9358974358974 1.05 1.4549369483 1.058.61304428438993 1.1 0.8779861655851 1.1 1.36490865709 1.18.07800669154548 1.15 0.8234461459272 1.15 1.28012127899 1.157.57695447409733 1.2 0.7723704866562 1.2 1.20071956147 1.27.10966842105263 1.25 0.7247368421053 1.25 1.12666876618 1.256.67516395398787 1.3 0.6804448475013 1.3 1.05781286703 1.36.27196721311475 1.35 0.6393442622951 1.35 0.99391830153 1.355.89831721088167 1.4 0.6012555770522 1.4 0.9347060061 1.45.55231018585218 1.45 0.5659847284253 1.45 0.87987429175 1.45
![Page 33: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/33.jpg)
5.232 1.5 0.5333333333333 1.5 0.8291147541 1.54.93546583850931 1.55 0.5031055900621 1.55 0.78212300173 1.554.66085604404725 1.6 0.4751127465899 1.6 0.73860560261 1.64.40641483516483 1.65 0.4491758241758 1.65 0.69828431814 1.654.17049696572084 1.7 0.4251271116943 1.7 0.66089842626 1.73.95157405405405 1.75 0.4028108108108 1.75 0.62620572441 1.753.74823529411764 1.8 0.3820831084727 1.8 0.59398264224 1.83.55918449692752 1.85 0.3628118753239 1.85 0.56402377274 1.853.38323484471303 1.9 0.3448761309595 1.9 0.53614104097 1.93.21930232558139 1.95 0.328165374677 1.95 0.51016266362 1.953.06639851576994 2 0.3125788497217 2 0.48593200523 22.92362316034082 2.05 0.2980247869868 2.05 0.46330640246 2.052.79015684907633 2.1 0.2844196584176 2.1 0.44215600341 2.12.66525397553148 2.15 0.2716874592795 2.15 0.42236265186 2.152.54823609119344 2.2 0.2597590307027 2.2 0.40381883412 2.22.43848571428571 2.25 0.2485714285714 2.25 0.38642669789 2.252.33544061721163 2.3 0.238067341204 2.3 0.37009714699 2.32.23858859307077 2.35 0.2281945558686 2.35 0.35474901202 2.352.14746268656717 2.4 0.2189054726368 2.4 0.34030829459 2.42.06163686541513 2.45 0.2101566631412 2.45 0.3267074814 2.451.98072210321324 2.5 0.2019084712756 2.5 0.31388492346 2.51.90436284239778 2.55 0.1941246526399 2.55 0.30178427557 2.55
1.8322338053798 2.6 0.1867720494781 2.6 0.29035399102 2.61.76403712266506 2.65 0.1798202979271 2.65 0.27954686643 2.65
1.6994997481954 2.7 0.1732415645459 2.7 0.26931963223 2.71.63837113402062 2.75 0.1670103092784 2.75 0.25963258408 2.75
1.580421138493 2.8 0.1611030722215 2.8 0.25044925146 2.81.5254381443299 2.85 0.1554982817869 2.85 0.24173609937 2.85
1.47322736501635 2.9 0.1501760820608 2.9 0.23346226003 2.91.42360932006094 2.95 0.1451181773762 2.95 0.22559929116 2.951.37641846153846 3 0.1403076923077 3 0.21812095839 3
![Page 34: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/34.jpg)
(Estructuracion en base a muros)
Espectro DesplazamientosSa Y (m/s^2) Cd* Sde(Tn) du0.6700631579 1 0 00.8708240833 1 0.0003229 0.00041981.0695657856 1 0.0015866 0.0020626
1.263015873 1 0.0042155 0.00548011.4467051315 1 0.0085841 0.01115931.6153308271 1 0.014976 0.01946881.7633240997 1 0.0235412 0.03060361.8855663769 1 0.0342635 0.04454261.9781257363 1 0.0469492 0.0610342.0388434903 1 0.0612439 0.07961712.0676234586 1 0.0766771 0.09968022.0663603015 1 0.0927226 0.12053942.0385519354 1 0.1088626 0.14152131.9887238826 1 0.1246394 0.16203131.9218186666 1 0.1396892 0.18159591.8426736842 1 0.1537536 0.19987961.7556533685 1 0.166676 0.21667881.6644456157 1 0.1783864 0.23190231.5719956783 0.99 0.1869932 0.24309121.4805357786 1.045 0.207127 0.26926511.3916696356 1.1 0.2270822 0.2952069
1.306479982 1.155 0.2467843 0.32081961.2256378806 1.21 0.2661872 0.34604341.1495019269 1.265 0.2852661 0.37084591.0782020987 1.32 0.3040121 0.39521571.0117072022 1.375 0.3224273 0.41915550.9498771319 1.43 0.3405214 0.4426778
0.892502157 1.485 0.3583088 0.46580150.8393316889 1.54 0.3758068 0.48854890.7900948218 1.595 0.393034 0.5109442
0 0.5 1 1.5 2 2.5 3 3.50
2
4
6
8
10
12
14
16Espectro Elastico
Espectro Elastico
0 0.5 1 1.5 2 2.5 3 3.50
0.1
0.2
0.3
0.4
0.5
0.6
Espectro desplazamiento
Espectro desplazamiento
![Page 35: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/35.jpg)
0.7445146199 1.65 0.4100095 0.53301240.7023177509 1.705 0.4267521 0.55477770.6632407236 1.76 0.4432799 0.5762639
0.62703369 1.815 0.4596102 0.59749320.5934625312 1.87 0.475759 0.61848670.5623097582 1.925 0.4917413 0.6392637
0.533374613 1.93 0.4947535 0.64317960.5064726477 1.93 0.496262 0.64514060.4814349779 1.93 0.4975725 0.64684430.4581073485 1.93 0.49871 0.6483230.4363491065 1.93 0.4996957 0.64960450.4160321456 1.93 0.5005485 0.65071310.3970398635 1.93 0.5012845 0.65166980.3792661603 1.93 0.5019178 0.65249310.3626144925 1.93 0.5024607 0.65319890.3469969925 1.93 0.5029239 0.65380110.3323336551 1.93 0.503317 0.6543120.3185515932 1.93 0.503648 0.65474230.3055843589 1.93 0.5039241 0.65510140.2933713278 1.93 0.5041519 0.65539750.2818571414 1.93 0.5043368 0.65563780.2709912037 1.93 0.5044837 0.65582880.2607272277 1.93 0.504597 0.65597610.2510228264 1.93 0.5046805 0.65608470.2418391455 1.93 0.5047376 0.65615890.2331405317 1.93 0.5047714 0.65620280.2248942361 1.93 0.5047844 0.65621980.2170701453 1.93 0.5047791 0.65621290.2096405412 1.93 0.5047576 0.65618480.2025798838 1.93 0.5047216 0.65613810.1958646154 1.93 0.504673 0.6560749
![Page 36: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/36.jpg)
0 0.5 1 1.5 2 2.5 3 3.50
2
4
6
8
10
12
14
16Espectro Elastico
Espectro Elastico
0 0.5 1 1.5 2 2.5 3 3.50
0.5
1
1.5
2
2.5
Espectro Reducido XEspectro Reducido Y
0 0.5 1 1.5 2 2.5 3 3.50
0.1
0.2
0.3
0.4
0.5
0.6
Espectro desplazamiento
Espectro desplazamiento
![Page 37: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/37.jpg)
d
0 0.5 1 1.5 2 2.5 3 3.50
0.5
1
1.5
2
2.5
Espectro Reducido XEspectro Reducido Y
![Page 38: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/38.jpg)
Piso Sismo Qx [T] ΔQ [T] Zk [m]STORY6 SX 205.4 205.4 18STORY5 SX 402.86 197.46 15STORY4 SX 561.79 158.93 12STORY3 SX 678.8 117.01 9STORY2 SX 751.87 73.07 6STORY1 SX 782.35 30.48 3
Piso Sismo Qy [T] ΔQ [T] Zk [m]STORY6 SY 92.08 185.59 18STORY5 SY 176.87 171.05 15STORY4 SY 244.11 131.68 12STORY3 SY 294.39 92.94 9STORY2 SY 327.32 55.69 6STORY1 SY 341.85 22.39 3
![Page 39: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/39.jpg)
Excentricidad (m) Mz [T-m]1.475 302.965
1.22916666666667 242.71125 Zk [m] Mz [T-m] Zk [m] Mz [T-m]0.983333333333334 156.2811666667 18 221.6188 18 457.4956
0.7375 86.294875 15 177.5285 15 351.33170.491666666666667 35.92608333333 12 114.3223 12 216.4080.245833333333333 7.493 9 63.1226 9 114.5514
6 26.2796 6 45.7524Excentricidad (m) Mz [T-m] 3 5.4796 3 9.2016
2.84 527.07562.36666666666667 404.81833333331.89333333333333 249.3141333333
1.42 131.97480.946666666666667 52.719866666670.473333333333333 10.59793333333
![Page 40: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/40.jpg)
Funciona sin importar cuantos pisos sean, solo dejar el formato igual: "encabezado->sismo x->encabezado->sismo y".
Piso Sismo X P Vx Vy T MxSTORY6 SX Bottom 0 205.4 109.19 1304.026 327.58STORY5 SX Bottom 0 402.86 206.07 2501.658 943.706STORY4 SX Bottom 0 561.79 279.1 3453.229 1775.355STORY3 SX Bottom 0 678.8 330.28 4150.113 2756.035STORY2 SX Bottom 0 751.87 361.43 4596.463 3826.283STORY1 SX Bottom 0 782.35 374.49 4793.902 4935.683Piso Sismo Y P Vx Vy T MxSTORY6 SY Bottom 0 92.08 185.59 2511.068 556.783STORY5 SY Bottom 0 176.87 356.64 4802.379 1624.985STORY4 SY Bottom 0 244.11 488.32 6575.192 3084.483STORY3 SY Bottom 0 294.39 581.26 7830.074 4817.637STORY2 SY Bottom 0 327.32 636.95 8589.51 6713.477STORY1 SY Bottom 0 341.85 659.34 8901.176 8676.041
![Page 41: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/41.jpg)
Funciona sin importar cuantos pisos sean, solo dejar el formato igual: "encabezado->sismo x->encabezado->sismo y". 28.4 Largo planta en "x" (m)14.75 Largo planta en "y"
h 18 Altura total del edificioMy ΔQ exentricidad Mz
616.207 205.4 18 1.475 302.9651822.9 197.46 15 1.2291666667 242.71125
3502.575 158.93 12 0.9833333333 156.281175528.354 117.01 9 0.7375 86.2948757769.235 73.07 6 0.4916666667 35.926083
10101.324 30.48 3 0.2458333333 7.493My
276.254 185.59 18 2.84 527.0756804.668 171.05 15 2.3666666667 404.81833
1530.502 131.68 12 1.8933333333 249.314132401.506 92.94 9 1.42 131.97483366.587 55.69 6 0.9466666667 52.7198674375.616 22.39 3 0.4733333333 10.597933
Esta Columna se debe pegar enstatic load cases
bkx
bky
Zk
Esta
![Page 42: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/42.jpg)
![Page 43: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/43.jpg)
![Page 44: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/44.jpg)
![Page 45: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/45.jpg)
![Page 46: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/46.jpg)
![Page 47: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/47.jpg)
![Page 48: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/48.jpg)
![Page 49: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/49.jpg)
![Page 50: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/50.jpg)
![Page 51: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/51.jpg)
![Page 52: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/52.jpg)
![Page 53: Programa Para Calcular Espectros](https://reader033.vdocumento.com/reader033/viewer/2022061522/55cf9bc7550346d033a75bb9/html5/thumbnails/53.jpg)