kl geotech-ret wall 2.0-3.0m

7/30/2019 Kl Geotech-ret Wall 2.0-3.0m

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SheetJob Number

Job Title

Client

Calcs by Checked by Date

Software Consultants (Pty) Ltd

Internet: http://www.prokon.com

E-Mail : [email protected]

1GEO-6

RETAINING WALL 2.00m to 3.00m high

KL GEOTECHNIC SDN.BHD

SRI SRI 28th Dec 2011

Retaining Wall Design : Ver W2.5.07 - 24 Aug 2011Title : RETAINING WALL 2.00m To 3.00

C14Input Data

Wall Dimensions Unfactored Live Loads General Parameters Design Parameters

H1 (m) 4 C (m) 0.35 W (kN/m) 0 Soil frict () 33 SF Overt. 2

H2 (m) 0.8 F (m) 0.3 P (kN) 0 Fill slope () 25 SF Slip 2.0

H3 (m) 0 xf (m) 1.00 xp (m) 0 Wall frict () 15 ULS DL Factor 1.4

Hw (m) 1.35 At (m) 0.25 L (kN/m) 0 Conc kN/m3 24 ULS LL Factor 1.6

Hr (m) Ab (m) 0.35 xl (m) 0 Soil kN/m3 19 Pmax (kPa) 150

B (m) 1.7 Cov wall mm 50 Lh (kN/m) 0 fcu (MPa) 25 Soil Poisson 0.1

D (m) 0.2 Cov base mm 50 x (m) 0.1 fy (MPa) 460 DL Factor Ovt. 0.9

Seepage not allowed

Active pressure NOT applied on back of shear key for sliding

Theory : Coulomb

Wall type : Cantilever

SEISMIC ANALYSIS SETTINGS:

Seismic Analysis ON/OFF:OFF

Hor Accel. (g)

Vert Accel. (g)

Include LL's

VALUES OF PRESSURE COEFFICIENTS:

Active Pressure coefficient Ka :0.403 (User Defined)Passive Pressure coefficient Kp :5.854 (User Defined)

Base frictional constant :0.649 (User Defined)

FORCES ACTING ON THE WALL AT SLS:All forces/moments are per m width

FORCES (kN ) and their LEVER ARMS (m )

Description F Horizontal Lever arm F Vertical Lever arm

left (+) down (+)

Destabilizing forces:

Total Active pressure Pa 59.169 1.333 15.854 2.050

Triangular W-table press Pw 5.337 0.450 0.000 2.050

Hydrostatic pressure on bot 0.000 1.125

of base: uniform portion


of base: triangular portion

Stabilizing forces:

Passive pressure on base Pp -35.592 0.267

Weight of the wall + base 47.700 1.554

Weight of soil on the base 26.668 1.441

Hydrostatic pressure on top 1.962 2.150

of rear portion of base


of front portion of base

EQUILIBRIUM CALCULATIONS AT SLSAll forces/moments are per m width

1.Moment Equilibrium

Point of rotation: bottom front corner of base.


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SheetJob Number

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2GEO-6




For Overturning moment Mo calculate as follows:

Mo = Sum(hor. forces x l.a.) - Sum(vert. forces x l.a.)

For Stabilizing moment Mr calculate as follows:

Mr = -Sum(hor. forces x l.a.) + Sum(vert. forces x l.a.)

where l.a. = lever arm of each force.

Stabilizing moment Mr : 126.25 kNm

Destabilizing moment Mo : 48.79 kNm

Safety factor against overturning = Mr/Mo = 2.588

2.Force Equilibrium at SLS

Sum of Vertical forces Pv : 92.18 kN

Frictional resistance Pfric : 59.83 kN

Passive Pressure on shear key : 31.70 kN

Passive pressure on base : 35.59 kN

=> Total Horiz. resistance Fr : 127.12 kN

Horizontal sliding force on wall Fhw : 64.51 kN

Horizontal sliding force on shear key Fht : 0.00 kN=> Total Horizontal sliding force Fh : 64.51 kN

Safety factor against overall sliding = Fr/Fh = 1.971

*** SAFETY FACTOR IS LOWER THAN SPECIFIED MINIMUM OF 2.00 ***

FORCES ACTING ON THE WALL AT ULS:All forces/moments are per m width

FORCES (kN ) and their LEVER ARMS (m )

Description F Horizontal Lever arm F Vertical Lever arm

left (+) down (+)

Destabilizing forces:Total Active pressure Pa 82.836 1.333 22.196 2.050

Triangular W-table press Pw 7.472 0.450 0.000 2.050


of base: uniform portion

Hydrostatic pressure on bot 0.000 1.500of base: triangular portion

Stabilizing forces:

Passive pressure on base Pp -32.033 0.267

Weight of the wall + base 42.930 1.554

Weight of soil on the base 24.001 1.441


of rear portion of base


of front portion of base

EQUILIBRIUM CALCULATIONS AT ULSAll forces/moments are per m width

1.Moment Equilibrium

Point of rotation: bottom front corner of base.

For Overturning moment Mo calculate as follows:

Mo = Sum(hor. forces x l.a.) - Sum(vert. forces x l.a.)

For Stabilizing moment Mr calculate as follows:

Mr = -Sum(hor. forces x l.a.) + Sum(vert. forces x l.a.)

where l.a. = lever arm of each force.

Stabilizing moment Mr : 113.63 kNmDestabilizing moment Mo : 68.31 kNm

Safety factor against overturning = Mr/Mo = 1.663


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3GEO-6




2.Force Equilibrium at ULS

Sum of Vertical forces Pv : 82.97 kN

Frictional resistance Pfric : 53.84 kN

Passive Pressure on shear key : 28.53 kN

Passive pressure on base : 32.03 kN=> Total Horiz. resistance Fr : 114.41 kN

Horizontal sliding force on wall Fhw : 90.31 kN

Horizontal sliding force on shear key Fht : 0.00 kN

=> Total Horizontal sliding force Fh : 90.31 kN

Safety factor against overall sliding = Fr/Fh = 1.267

SOIL PRESSURES UNDER BASE AT SLS

Maximum pressure : 72.08 kPa

Minimum pressure : 9.87 kPa

Maximum pressure occurs at left hand side of base

WALL MOMENTS (ULS) AND REINFORCEMENT TO BS8110 - 1997

Position from Moment Front Reinforcing Back Reinforcing Nominal (0.13%)

base top (m ) (kNm ) (mm/m ) (mm/m ) (mm/m )

0.00 79.97 0.00 658.03 457.60

0.07 75.28 0.00 623.75 455.00

0.15 71.17 0.00 593.78 452.40

0.22 67.03 0.00 563.15 449.80

0.29 62.92 0.00 532.29 447.20

0.37 58.88 0.00 501.64 444.60

0.44 54.97 0.00 471.69 442.00

0.51 51.24 0.00 442.84 439.40

0.58 47.69 0.00 415.20 436.80

0.66 44.33 0.00 388.74 434.200.73 41.14 0.00 363.42 431.60

0.80 38.12 0.00 339.20 429.00

0.88 35.25 0.00 316.04 426.40

0.95 32.54 0.00 293.91 423.80

1.02 29.97 0.00 272.76 421.201.10 27.54 0.00 252.56 418.60

1.17 25.25 0.00 233.31 416.00

1.24 23.08 0.00 214.97 413.40

1.31 21.05 0.00 197.54 410.80

1.39 19.13 0.00 181.00 408.20

1.46 17.34 0.00 165.34 405.60

1.53 15.66 0.00 150.54 403.00

1.61 14.10 0.00 136.59 400.40

1.68 12.64 0.00 123.46 397.80

1.75 11.29 0.00 111.15 395.201.83 10.03 0.00 99.62 392.60

1.90 8.88 0.00 88.87 390.00

1.97 7.81 0.00 78.87 387.40

2.04 6.84 0.00 69.61 384.80

2.12 5.95 0.00 61.05 382.20

2.19 5.14 0.00 53.19 379.60

2.26 4.40 0.00 46.00 377.00

2.34 3.74 0.00 39.45 374.402.41 3.15 0.00 33.53 371.80

2.48 2.63 0.00 28.20 369.20

2.56 2.17 0.00 23.44 366.60

2.63 1.76 0.00 19.23 364.00

2.70 1.41 0.00 15.53 361.40

2.77 1.11 0.00 12.33 358.80

2.85 0.85 0.00 9.58 356.202.92 0.64 0.00 7.27 353.60

2.99 0.47 0.00 5.35 351.003.07 0.33 0.00 3.79 348.40


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4GEO-6




3.14 0.22 0.00 2.56 345.80

3.21 0.14 0.00 1.63 343.20

3.29 0.08 0.00 0.95 340.60

3.36 0.04 0.00 0.49 338.00

3.43 0.02 0.00 0.21 335.40

3.50 0.01 0.00 0.06 332.80

3.58 0.00 0.00 0.01 330.203.65 0.00 0.00 0.00 327.60

BASE MOMENTS (ULS) AND REINFORCEMENT TO BS8110 - 1997

Position from Moment Top Reinforcing Bot Reinforcing Nominal (0.13%)

left (m ) (kNm ) (mm/m ) (mm/m ) (mm/m )

0.00 -0.00 0.00 0.00 455.00

0.05 -0.05 0.00 0.42 455.00

0.09 -0.20 0.00 1.67 455.00

0.14 -0.45 0.00 3.75 455.00

0.18 -0.80 0.00 6.67 455.00

0.23 -1.26 0.00 10.42 455.00

0.27 -1.81 0.00 15.00 455.00

0.32 -2.46 0.00 20.42 455.00

0.36 -3.22 0.00 26.67 455.00

0.41 -4.07 0.00 33.75 455.00

0.45 -5.03 0.00 41.67 455.00

0.50 -6.09 0.00 50.42 455.00

0.54 -7.24 0.00 60.00 455.00

0.58 -8.50 0.00 70.42 455.00

0.63 -9.86 0.00 81.67 455.00

0.68 -11.32 0.00 93.75 455.00

0.72 -12.87 0.00 106.67 455.00

0.77 -14.53 0.00 120.42 455.00

0.81 -16.29 0.00 135.00 455.00

0.85 -18.15 0.00 150.42 455.00

0.90 -20.12 0.00 166.67 455.00

0.94 -22.18 0.00 183.75 455.00

0.99 -24.34 0.00 201.67 455.00

1.03 -26.60 0.00 220.42 455.00

1.08 -28.97 0.00 240.01 455.00

1.13 -31.43 0.00 260.42 455.00

1.17 -34.00 0.00 281.67 455.001.22 -36.66 0.00 303.76 455.00

1.26 -39.43 0.00 326.67 455.00

1.30 -42.29 0.00 350.42 455.00

1.35 -45.26 0.00 375.01 455.00

1.40 -48.33 0.00 400.43 455.00

1.44 -51.50 0.00 426.68 455.00

1.49 -54.77 0.00 453.76 455.00

1.53 -58.14 0.00 481.68 455.00

1.57 -61.61 0.00 510.43 455.00

1.62 -65.18 0.00 540.01 455.001.67 -68.85 0.00 570.43 455.00

1.71 -72.62 0.00 601.68 455.00

1.75 -76.49 0.00 633.76 455.00

1.80 -80.47 0.00 666.68 455.00

1.84 -84.54 0.00 0.00 455.00

1.89 -88.71 0.00 0.00 455.00

1.94 -90.84 0.00 0.00 455.00

1.98 5.18 0.00 0.00 455.002.02 3.51 0.00 0.00 455.00

2.07 2.58 21.39 0.00 455.00

2.12 1.79 14.85 0.00 455.00

2.16 1.15 9.50 0.00 455.00

2.21 0.65 5.35 0.00 455.00

2.25 0.29 2.38 0.00 455.00

SHEAR CHECK AT WALL-BASE JUNCTION TO BS8110 - 1997

Shear force at bottom of wall V = 76.0 kN


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SheetJob Number

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5GEO-6




Shear stress at bottom of wall v = 0.26 MPa OK

Allowable shear stress vc = 0.41 MPa (based on Wall tensile reinf.)

Sketch of Wall

1.3

5

0.10

0.3

0

0.8

0

4.0

0

0.3

5

25.00

1.70

0.25

0.350.20

1.00

15

.00

33.00

Wall type: CantileverTheory: Coulomb

Design code: BS8110 - 1997

SFovt = 2.59SFovt (ULS) = 1.66

SFslip = 1.97SFslip (ULS) = 1.27

Ka=0.40 (User defined)Kp=5.85 (User defined)

V= 76.0kNv= 0.26MPavc= 0.41MPa

=0.65 (User def.)

72.1kPa

9.9kPa


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SheetJob Number

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6GEO-6




Wall Bending Moments

Wall Moments

Momentmax=79.9

7kNm@

-.3

50m

.500

1.00

1.50

2.00

2.50

3.00

3.50

0.0

0

10.0

20.0

30.0

40.0

50.0

60.0

70.0

80.0

Height(m)

Bending moment (kNm)

Base Bending Moments

Base Moments Moment max = -90.84kNm @ 1.88m

-90.0

-80.0

-70.0

-60.0

-50.0

-40.0

-30.0

-20.0

-10.0

.100

.200

.300

.400

.500

.600

.700

.800

.900

1.0

0

1.1

0

1.2

0

1.3

0

1.4

0

1.5

0

1.6

0

1.7

0

1.8

0

1.9

0

2.0

0

2.1

0

2.2

0

Bendingmoment(kNm)

Position (m)


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7GEO-6




Wall Reinforcement

Wall Reinforcement

Reinf.max=658.0mm/[email protected]

0m

.200

.400

.600

.800

1.00

1.20

1.40

1.60

1.80

2.00

2.20

2.40

2.60

2.80

3.00

3.203.40

3.60

100

200

300

400

500

600

Height(m)

Reinforcement (mm/m)

Front

Nominal

Back

Base Reinforcement

Base Reinforcement Reinf. max = 666.7mm/m @ 1.76m

50.0

100

150

200

250

300

350

400

450

500

550

600

650

700

.100

.200

.300

.400

.500

.600

.700

.800

.900

1.0

0

1.1

0

1.2

0

1.3

0

1.4

0

1.5

0

1.6

0

1.7

0

1.8

0

1.9

0

2.0

0

2.1

0

2.2

0

Reinforcement

(mm/m)

Position (m)

Nominal

Top

Nominal


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SheetJob Number

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8GEO-6




Schematic Reinforcement

Y12@200

Y12@200 (EF)Y12@200 (EF)

Y16@300 (NF)

Y12@200 (Hor)

Y12@200 (FF)

Y12@200 (Hor)

1-R10/m2 clips

1-R10/m2 clips

Y12@200 starters

Y16@250 starters

Y12@200 (T1)

Y12@200 (T2)

Y16@300 (B1)

Y12@200 (B2)

SECTION

FRONT

kl geotech-ret wall 2.0-3.0m

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