memoria de calculo muro reservorio

8/10/2019 Memoria de Calculo Muro Reservorio

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MEMORIA DE CALCULO MURO RESERVORIO - ZACAPATARANI

1

Cantilever wall analysis

Input data

Project

Date : 20/12/2013

Name : Project Stage : 1

+ z

2.50

2.50

0.3000

0 . 1

0 5 0

3.40 3.40

2.53

0.25

2.80

0.60

1.00 1.25

100.00:1

0.60

0.10

+x

+z

Name : Pro ect Sta e : 1

+ z

2.50

2.50

0.3000

3.40 3.40

0.25

2.80

0.60

1.00 1.25

100.00:1

0.60

0.10

+x

+z

Settings

Standard - safety factorsMaterials and standards

Concrete structures : ACI-2005Coefficients EN 1992-1-1 : standard

Wall analysis

Active earth pressure calculation : CoulombPassive earth pressure calculation : Caquot-KeriselEarthquake analysis : Mononobe-OkabeShape of earth wedge : Calculate as skewBase key : The base key is considered as inclined footing bottom




2

Verification methodology : Safety factors (ASD)

Safety factors

Permanent design situation

Safety factor for overturning : SFo = 1.50 [–]

Safety factor for sliding resistance : SFs = 1.50 [–]

Safety factor for bearing capacity : SFb = 1.50 [–]

Material of structure

Unit weight = 23.00 kN/m3 Analysis of concrete structures carried out according to the standard EN 1992-1-1 (EC2).

Concrete : C 20/25Cylinder compressive strength f ck = 20.00 MPa

Tensile strength f ct = 2.20 MPa

Longitudinal steel : B420Yield strength f yk = 420.00 MPa

Geometry of structure

No. Coordinate DepthX [m] Z [m]

1 0.00 0.00

2 0.03 2.80

3 1.28 2.80

4 1.28 3.40

5 -1.25 3.40

6 -1.25 2.80

7 -0.25 2.80

8 -0.25 0.00

The origin [0,0] is located at the most upper right point of the wall.Wall section area = 2.26 m2.

Name : Geometr Sta e : 1

3.40 3.40

0.25

2.80

0.60

1.00 1.25

100.00:1




3

Name : Geometry Stage : 1

3.40 3.40

0.25

2.80

0.60

1.00 1.25

100.00:1

Basic soil parameters

No. Name Patternef cef su

[°] [kPa] [kN/m3] [kN/m3] [°]

1 Well graded sand (SW), dense 39.50 0.00 20.00 10.00 20.00

Soil parameters to compute pressure at rest

No. Name PatternType

OCR Kr

calculation [°] [–] [–] [–]

1 Well graded sand (SW), dense cohesive - 0.11 - -

Soil parameters

Well graded sand (SW), denseUnit weight : = 20.00 kN/m3

Stress-state : effective Angle of internal friction : ef = 39.50 °

Cohesion of soil : cef = 0.00 kPa Angle of friction struc.-soil : = 20.00 °

Soil : cohesivePoisson's ratio : = 0.11

Saturated unit weight : sat = 20.00 kN/m3

Geological profile and assigned soils

No.Layer

Assigned soil Pattern[m]

1 - Well graded sand (SW), dense

Terrain profile

Terrain behind the structure is flat.

Water influence

Ground water table is located below the structure.




4

Input surface surcharges

No.Surcharge

ActionMag.1 Mag.2 Ord.x Length Depth

new change [kN/m2] [kN/m2] x [m] l [m] z [m]

1 YES permanent 2.50 0.00 2.50 on terrain

No. Name

1 Sobrecarga

Name : Surcharge Stage : 1

3.40 3.40

2.50

2.50

Resistance on front face of the structure

Resistance on front face of the structure: at restSoil on front face of the structure - Well graded sand (SW), denseSoil thickness in front of structure h = 0.60 m

Terrain in front of structure is flat.

Name : FF resistance Sta e : 1

3.40 3.40

0.60

Applied forces acting on the structure

No.Force

Name ActionFx Fz M x z

new modification [kN/m] [kN/m] [kNm/m] [m] [m]

1 YES ForceNo. 1 permanent 0.00 0.10 0.00 0.00 0.00 Earthquake

Horizontal seismic coefficient kh = 0.3000

Vertical seismic coefficient kv = 0.1050 Water below the GWT is restricted.




5

Name : Earthquake Stage : 1

3.40 3.40

0.3000

Name : Earth uake Sta e : 1

3.40 3.40

0.3000

Settings of the stage of construction

Design situation : permanentThe wall is free to move. Active earth pressure is therefore assumed.

Verification No. 1Forces acting on construction

Name Fhor App.Pt. Fvert App.Pt. Design

[kN/m] z [m] [kN/m] x [m] coefficient

Weight - wall 0.00 -0.85 51.89 1.22 1.000

Earthq.- constr. 15.57 -0.85 -5.45 1.22 1.000

FF resistance -0.44 -0.20 0.00 0.00 1.000

Weight - earth wedge 0.00 -1.50 33.85 1.69 1.000

Earthquake - soil wedge 10.15 -1.50 -3.55 1.69 1.000

Active pressure 24.56 -1.17 39.53 2.12 1.000

Earthq.- act.pressure 36.49 -2.27 73.90 1.74 1.000

Sobrecarga 0.92 -1.48 1.41 1.93 1.000

Force No. 1 0.00 -3.40 0.10 1.25 1.000 Verification of complete wall

Check for overturning stability Resisting moment Mres = 323.02 kNm/m

Overturning moment Movr = 141.26 kNm/m

Safety factor = 2.29 > 1.50Wall for overturning is SATISFACTORY




6

Check for slip Resisting horizontal force Hres = 158.00 kN/m

Active horizontal force Hact = 87.24 kN/m

Safety factor = 1.81 > 1.50Wall for slip is SATISFACTORY

Forces acting at the centre of footing bottom Overall moment M = 60.52 kNm/mNormal force N = 191.67 kN/mShear force Q = 87.24 kN/m

Overall check - WALL is SATISFACTORY

Name : Verification Sta e : 1; Anal sis : 1

3.40 3.40

+x

51.89

+x

16.49

+x0.44

+x

33.85

+x

10.76

+x

46.54

+x

82.42

+x

1.68

+x

0.10

Name : Verification Stage : 1; Analysis : 1

3.40 3.40

+x

51.89

+x

16.49

+x0.44 +x

33.85

+x

10.76

+x

46.54

+x

82.42

+x

1.68

+x

0.10

Bearing capacity of foundation soil

Forces acting at the centre of the footing bottom

No.Moment Norm. force Shear Force Eccentricity Stress

[kNm/m] [kN/m] [kN/m] [m] [kPa]1 60.52 191.67 87.24 0.32 101.06

Dimensioning No. 1

Forces acting on construction



Weight - wall 0.00 -0.30 17.25 1.90 1.000




7



Weight - earth wedge 0.00 -1.50 33.85 1.69 1.000

Active pressure 24.56 -1.17 39.53 2.12 1.000

Sobrecarga 0.92 -1.48 1.41 1.93 1.000

Contact tractions 0.00 0.00 -58.87 1.78 1.000

Gravity surch. 1 0.00 -3.40 0.01 1.28 1.000 Back wall jump check

Reinforcement and dimensions of the cross-sectionBar diameter = 16.0 mmNumber of bars = 5Reinforcement cover = 30.0 mmCross-section width = 1.00 mCross-section depth = 0.60 m

Reinforcement ratio = 0.18 % > 0.14 % = min

Position of neutral axis x = 0.03 m < 0.37 m = xmax

Ultimate shear force VRd = 177.46 kN > 33.18 kN = VEd

Ultimate moment MRd = 201.29 kNm > 29.20 kNm = MEd Cross-section is SATISFACTORY.

Name : Dimensionin Sta e : 1; Dimensionin : 1

3.40 3.40

2.53+x

+z

17.25

+x

+z

33.85

+x

+z

46.54

+x

+z

1.68

+x

+z

58.87

+x

+z

0.01

5.00 prof. 16.0mm,cover 30.0mm




8

Name : Dimensioning Stage : 1; Dimensioning : 1

3.40 3.40

2.53+x

+z

17.25

+x

+z

33.85

+x

+z

46.54

+x

+z

1.68

+x

+z

58.87

+x

+z

0.01


Name : Dimensionin Sta e : 1; Dimensionin : 1

3.40 3.40

+x

17.25

+x

33.85

+x

46.54

+x

1.68

+x+x

0.01


Name : Dimensioning Stage : 1; Dimensioning : 1

3.40 3.40

+x

17.25

+x

33.85

+x

46.54

+x

1.68

+x+x

0.01





9

Slope stability analysis

Input data

Project

Settings

Standard - safety factorsStability analysis

Verification methodology : Safety factors (ASD)

Safety factors

Permanent design situation

Safety factor : SFs = 1.50 [–]

Interface

No. Interface locationCoordinates of interface points [m]

x z x z x z

1

-10.00 2.74 -1.25 2.74 -0.25 2.74

-0.25 5.54 0.00 5.54 10.20 5.54

2

0.00 5.54 0.03 2.74 1.28 2.74

1.28 2.14 10.20 2.14

3

-10.00 2.14 -1.25 2.14 -1.25 2.74

4

-1.25 2.14 1.28 2.14




11

Assigning and surfaces

No. Surface positionCoordinates of surface points [m] Assigned

x z x z soil

1

1.28 2.14 1.28 2.74Wall material

0.03 2.74 0.00 5.54

-0.25 5.54 -0.25 2.74

-1.25 2.74 -1.25 2.14

2

0.03 2.74 1.28 2.74 Well graded sand (SW),dense1.28 2.14 10.20 2.14

10.20 5.54 0.00 5.54

3

-1.25 2.14 -1.25 2.74Wall material

-10.00 2.74 -10.00 2.14

4

-1.25 2.14 -10.00 2.14 Well graded sand (SW),dense-10.00 -2.86 10.20 -2.86

10.20 2.14 1.28 2.14

Name : Soils and assignment Stage : 1

1 2

3

4

Surcharge

No. Type Type of actionLocation Origin Length Width Slope Magnitude

z [m] x [m] l [m] b [m] [°] q, q1, f, F q2 unit

1 strip permanent on terrain x = 0.00 l = 2.50 0.00 2.50 kN/m2




12

Surcharges

No. Name

1 Sobrecarga

Water

Water type : No waterTensile crack

Tensile crack not inputted.

Earthquake

Horizontal seismic coefficient : Kh = 0.30

Vertical seismic coefficient : Kv = 0.10

Name : Earth uake Sta e : 1

0.30

0 . 1

0

Settings of the stage of construction Design situation : permanent

Results (Stage of construction 1)

Analysis 1

Circular slip surface

Slip surface parameters

Center :x = -0.26 [m]

Angles :1 = -68.62 [°]

z = 6.47 [m] 2 = 84.78 [°]

Radius : R = 10.23 [m]

The slip surface after optimization.

Segments restricting slip surface

No.First point Second point

x [m] z [m] x [m] z [m]

1 -9.97 2.72 -9.95 2.17 Slope stability verification (Bishop) Sum of active forces : Fa = 606.42 kN/m

Sum of passive forces : Fp = 9153.76 kN/m

Sliding moment : Ma = 6203.69 kNm/m

Resisting moment : Mp = 93642.94 kNm/m




13

Factor of safety = 15.09 > 1.50Slope stability ACCEPTABLE

Name : Anal sis Sta e - anal sis : 1 - 1

Name : Anal sis Sta e - anal sis : 1 - 1

memoria de calculo muro reservorio

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