138443581-Retaining-Wall-Design.xls

5/25/2018 138443581-Retaining-Wall-Design.xls

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ProjectSpreadsheets to BS 8110etc

Client Advisory Group Made by Date PageLocation Grid line 1 rc 20-May-2014 101

RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 Checked Revision Job No

Originated from 'RCC62.xls' on CD 1999 BCA for RCC chg R68

IDEALISED STRUCTURE and FORCE DIAGRAMS DESIGN STATUS: VALID

WARNING :

Passive pressure shouldonly be considered if it

can be guaranteed that

there will be no future

excavation in front of

the wall.

DIMENSIONS (mm)

H = 3200 B = 2750 Tw = 250

Hw = 100 BI = 1000 Tb = 400Hp = 200 BN = 0 TN = 0

Hn = 0

MATERIAL PROPERTIES

fcu = 35 N/mm gm = 1.5 concrete

fy = 460 N/mm gm = 1.05 steel

cover to tension steel = 50 mm

Max allowable design surface crack width (W) = 0.3 mm

Concrete density = 24 kN/m

SOIL PROPERTIES Wall Geometry

Design angle of int'l friction of retained mat'l () = 30 degree

Design cohesion of retained mat'l (C ) = 0 kN/m (Only granular backfil considered, "C" = zero)

Density of retained mat'l (q ) = 20 kN/m

Submerged Density of retained mat'l (qs ) = 13.33 kN/m [default=2/3*q (only apply when 13.33

Design angle of int'l friction of base mat'l (b) = 20 degree ASSUMPTIONSDesign cohesion of base material (Cb ) = 10 kN/m a) Wall friction is zero

Density of base material (qb ) = 10 kN/m b) Minimum active earth pressure = 0.25qH

Allowable gross ground bearing pressure (GBP) = 200 kN/m c) Granular backfill

LOADINGS Surcharge load -- live (SQK) = 10 kN/m e)Does notinclude effect of seepage of ground

Surcharge load -- dead (SGK) = 10 water beneath the wall.

Line load -- live (LQK) = 15 kN/m f)Does notinclude deflection check of wall due to

Line load -- dead (LGK) = 20 kN/m lateral earth pressures

Distance of line load from wall (X) = 1000 mm h) Design not intended for walls over 3.0 m high

LATERAL FORCES (unfactored) Ka = 0.33 [ default ka = (1-SIN )/(1+SIN 0.33

Kp = 2.04 [ default kp = (1+SIN b)/(1-SIN 2.04

Kpc = 2.86 [ default kpc = 2kp.

] = 2.86

Kac = 1.15 [ 2ka0.5 ]

Force Lever arm Moment about TOE f Fult Mult(kN) (m) (kNm) (kN) (kNm)

PE = 34.12 LE = 1.067 36.41 1.40 47.77 50.97

PS(GK) = 10.67 LS = 1.60 17.07 1.40 14.93 23.89

PS(QK) = 10.67 LS = 1.60 17.07 1.60 17.07 27.31

PL(GK) = 6.67 LL = 2.36 15.74 1.40 9.33 22.03

PL(QK) = 5.00 LL = 2.36 11.80 1.60 8.00 18.89

PW = 0.05 LW = 0.03 0.00 1.40 0.07 0.00

Total 67.17 98.09 97.17 143.10

PP = -6.12 (LP-HN) = 0.10 -0.60 1.00 -6.12 -0.60

-

REINFORCED CONCRETE COUNCIL

d)Does notinclude check of rotational slide/slop

S u r c h a r g e S , S i n k N / mG K Q K2

L i n e L o a d L , L i n k N / mG K Q K

X

B 1

B N T N

T W

B

H

W

H

n

T

b

L

P

H

P

L

L

L

S

L

W

H

L

E

W A T E R


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Project Spreadsheets to BS 8110etc

Client Advisory Group Made by Date Page

Location Grid line 1 rc 20-May-2014 102

RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8 Checked Revision Job No

Originated from 'RCC62.xls' on CD 1999 BCA for RCC chg - R68

EXTERNAL STABILITY STABILITY CHECKS : OK

OVERTURNING about TOE F.O.S = 1.50

(using overall factor of safety instead of partial safety factor) LOADING OPTION

Overturning Lateral FORCE (kN) Lever arm (m) Moment (kNm) (select critical load combination)

Moments PE = 34.12 LE = 1.07 36.40 EARTH

PS(GK) = 10.67 LS = 1.60 17.07

PS(QK) = 10.67 LS = 1.60 17.07

PL(GK) = 6.67 LL = 2.36 15.74

PL(QK) = 5.00 LL = 2.36 11.80

PW = 0.05 LW = 0.03 0.00

P = 67.17Pp = -6.12 (LP-HN) = 0.10 -0.60 Warning:

Mo = 97.48Restoring Vertical FORCE (kN) Lever arm (m) Moment (kNm)

Moments Wall = 16.80 1.13 18.90Base = 26.40 1.38 36.30

Nib = 0.00 0.00 0.00

Earth = 84.00 2.00 168.00

Water = 0.00 2.00 0.00

Surcharge = 30.00 2.00 60.00

Line load = 35.00 2.25 78.75

V = 192.20 Mr = 361.95Factor of Safety, Mr / Mo = 3.71 > 1.50 OK

SLIDING (using overall factor of safety instead of partial safety factor) F.O.S = 1.50

Sum of LATERAL FORCES, P = 67.17 kN

ASSIVE FORCE, Pp x Reduction factor (1) = -6.12 kN ed'n factor for passive force = 1.00BASE FRICTION ( V TANb + B Cb ) = -97.46 kN

Sum of FORCES RESISTING SLIDING, Pr = -103.58 kN

Factor of Safety, Pr / P = 1.54 > 1.50 OK

GROUND BEARING FTaking moments about centre of base (anticlockwise "+") :

Vertical FORCES (kN)Lever arm (m Moment (kNm)

Wall = 16.80 0.25 4.20Base = 26.40 0.00 0.00

Nib = 0.00 1.38 0.00Earth = 84.00 -0.63 -52.50

Water = 0.00 -0.63 0.00Surcharge= 30.00 -0.63 -18.75Line load = 35.00 -0.88 -30.63 V = 192.20 Mv = -97.68Moment due to LATERAL FORCES, Mo = 97.48 kNm

Resultant Moment, M = Mv+ Mo = -0.20 kNm

Eccentricity from base centre, M/ V = 0.00 m

Therefore, MAXIMUM Gross Bearing Pressure (GRP) = 70 kN/m < 200 OK


Under some

conditions,surcharge &

line loads may have

stabilising effects on the

structure, and it isrecommended that

stability checks should

also be carried out

without these loads.

50

100

2.75 0.00

BEARING PRESSURE (KN/m)

PS(QK)

PL(GK)

PL(QK)

PS(GK)

PW


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RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8 Checked Revision Job No


OUTER BASE ( per metre length ) BS8110gf = 1.46 (default = ult mt / non-factored m1.46 reference

V ult = 86.79 kNM ult = 53.64 kNm (TENSION - BOTTOM FACE)

BOTTOM REINFORCEMENT : Min. As = 520 mm2

Table 3.25

f= 12 mmcentres = 200 mm < 762 OK 3.12.11.2.7(b)

Asprov = 565 mm2 > 520 OK

MOMENT of RESISTANCE : d = 344 mm

z = 326.80 mm 3.4.4.4

As' = 0 mm2

Mres = 80.96 kNm > 53.64 OK

SHEAR RESISTANCE: 100 As/bd = 0.16%vc = 0.40 N/mm

2Table 3.8

Vres = 138.35 kN > 86.79 OK 3.5.5.2

CHECK CRACK WIDTH IN ACCORDANCE WITH BS8007 :

X = 68.49 mm em = -0.00076 BS8007

Acr = 108.61 mm W = -0.18 mm < 0.30 OK App. B.2

INNER BASE ( per metre length )V ult = 81.20 kN

M ult = 89.46 kNm (TENSION - TOP FACE)

TOP REINFORCEMENT : Min. As = 520 mm2

Table 3.25

f= 16 mm

centres = 150 mm < 766 OK 3.12.11.2.7(b)

Asprov = 1340 mm2 > 520 OK

MOMENT RESISTANCE : d = 342 mm

z = 323.22 mm 3.4.4.4

As' = 0 mm2

Mres = 189.80 kNm > 89.46 OK

SHEAR RESISTANCE: 100 As/bd = 0.39%

vc = 0.54 N/mm2

Table 3.8

Vres = 184.02 kN > 81.20 OK 3.5.5.2

CHECK CRACK WIDTH wrt BS8007 : (Temperature and shrinkage effects not included)

X = 99.03 mm em = 0.000222 BS8007

Acr = 86.81 mm W = 0.05 mm < 0.30 OK App. B.2

REINFORCEMENT SUMMARY for BASE

Type f Centers As Min. Asmm mm mm

2mm

2

TOP (DESIGN) T 16 150 1340 520 OK

BOTTOM (DESIGN) T 12 200 565 520 OK

TRANSVERSE T 12 200 565 520 OK



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RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 80Checked Revision Job No


APPROXIMATE WEIGHT OF REINFORCEMENT

No. Type Dia Length Unit Wt Weight

WALL VERTICAL - External face 6 T 10 2880 0.617 10.65

VERTICAL - Internal face 9 T 16 2928 1.578 41.59

TRANSVERSE (Ext.& Int.) 30 T 10 1000 0.617 18.50

BASE TOP (MAIN) 7 T 16 2878 1.578 31.80

BOTTOM (MAIN) 6 T 12 2846 0.888 15.16

TRANSVERSE ( T & B ) 28 T 12 1000 0.888 24.86

WALL STARTERS (Ext.) 6 T 10 1125 0.617 4.16

WALL STARTERS (Int.) 9 T 16 1365 1.578 19.39

NIB (assume same reinforcement as wall)

INTERNAL FACE (MAIN) 6 T 10 80 0.617 0.30

EXTERNAL FACE (MAIN) 9 T 16 128 1.578 1.82

TRANSVERSE (EXT.+ INT. 2 T 10 1000 0.617 1.23

SUMMARY Approx total reinforcement per metre length of wall (kg) 169.5

REINFORCED CONCRETE COUNCI


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DiagramsProject Spreadsheets to BS 8110etcLocation Grid line 1 DATA FOR DIAGRAMS I

RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etc.sheet 1 of 2Originated from 'RCC62.xls' on CD 1999 BCA for RCC

DESIGN STATUS: VALID

IF(ABS(ECCY)>B/1000/2,"BEARING FAIL",IF(ABS(ECCY)>(B/1000)/6,(2*VL)/(3*((B/1000)/2-ABS(ECCY))),(VL/(B/1000)*(1+(6*ABS(ECCY))/(B/

2.75

1 70.050 70.05 3

0.275 70.05 30.55 70.05 3

0.825 70.05 31.1 70.05 3

1.375 70.05 31.65 70.05 3

1.925 70.05 32.2 70.05 3

2.475 70.05 3

2.75 70.05 32.75 0.00 0IF(ECCY(B/1000)/6,IF(XX>(B/1000/2-ECCY)*3,0,(((B/1000/2-ECCY)*3-XX)/((B/1000/2-ECCY)*3))*BP),((VL/(B/1000)*(1-(6*ECCY)/(B/1000))))+(6*ECCY)/(B/1000)))))

0.00

50.00

100.00

0 5

KN/M^2

M

BEARING PRESSURE

DIAGRAM

50

100

2.75 0.00

KN/M^2

M

BEARING PRESSURE DIAGRAM


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0 0 0 9 0 0 9 0 000 0 000 0 000 0 0

Diagrams

Project Spreadsheets to BS 8110etcLocation Grid line 1 DATA FOR DIAGRAMS II

RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etc.sheet 1 of 2Originated from 'RCC62.xls' on CD 1999 BCA for RCC

YY= 2.8 MTE= 24.39MTLG= 13.07

MTLQ= 9.80MTSG= 13.067MTSQ= 13.07MTW= 0.00

UTM= 107.34107.34

0 0.00 0 0.001 0.06 0.023 0.062 0.11 0.092 0.113 0.17 0.207 0.174 0.22 0.368 0.225 0.28 0.5749 0.286 0.34 0.8279 0.347 0.39 1.1269 0.398 0.45 1.4718 0.45

9 0.50 1.8628 0.5010 0.56 2.2997 0.5611 0.62 2.7827 0.6212 0.67 3.3116 0.6713 0.73 3.8865 0.7314 0.78 4.5075 0.7815 0.84 5.1899 0.8416 0.90 6.8735 0.9017 0.95 8.6031 0.9518 1.01 10.379 1.0119 1.06 12.2 1.0620 1.12 14.068 1.1221 1.18 15.981 1.1822 1.23 17.941 1.2323 1.29 19.946 1.2924 1.34 21.998 1.3425 1.40 24.096 1.4026 1.46 26.239 1.4627 1.51 28.471 1.5128 1.57 30.924 1.5729 1.62 33.454 1.6230 1.68 36.063 1.6831 1.74 38.753 1.7432 1.79 41.525 1.7933 1.85 44.38 1.8534 1.90 47.321 1.9035 1.96 50.349 1.9636 2.02 53.466 2.0237 2.07 56.673 2.0738 2.13 59.973 2.1339 2.18 63.365 2.18

40 2.24 66.854 2.2441 2.30 70.439 2.3042 2.35 74.122 2.3543 2.41 77.906 2.4144 2.46 81.792 2.4645 2.52 85.781 2.5246 2.58 89.875 2.5847 2.63 94.076 2.6348 2.69 98.386 2.6949 2.74 102.81 2.7450 2.80 107.34 2.80

0 00 400

1000 4001000 32001250 32001250 400

0 50 100 150

0.00

0.56

1.12

1.68

2.24

2.80

ULT. MT (KNM)

WALL(M)

MOMENT DIAGRAM

3000

4000

WALL GEOMETRY


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1250 400

Project Spreadsheets to BS 8110etcLocation Grid line 1 CRACK WIDTH CALCULATIONS

RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etc.Made by rc Job No R68Originated from 'RCC62.xls' on CD 1999 BCA for RCC Date

WALL

MR= 15.06 MIN SPACING= 220 ASreq = 1444 fs = 275.31 sprov%= 0.8378As/bd= 0.008 MSBB= 762 ASBBre 0.01 fs = 0.0054 sprov%= 0.1644

X= 75.21 MSBT= 766 ASBTre 631.76 fs = 144.54 sprov%= 0.3919Ic= 472134280

STS= 0.0014ST1= 0.0020ST2= 0.0004066Acr= 77.265761

W= 0.29

em= 0.0016

MR= 15.06 MR= 15.06

AsBB/bd= 0.0016 AsBB/bd= 0.0039X= 68.49 X= 99.03Ic= 753352434 Ic= 1.515E+09

STS= 0.0008 STS= 0.0007ST1= 0.0010 ST1= 0.0009ST2= 0.0017635 ST2= 0.0006953Acr= 108.61239 Acr= 86.810337

W= -0.18 W= 0.05

em= -0.0008 em= 0.0002

20-May-14

Page 7


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Notes

Disclaimer

Status of spreadsheet

Public release version.

Revision history RCC62 Retaining Wall.xls

Date Version Action Size (kB)06-Aug-99 RCC62 v1.0

First public release.

Includes bversion comments398

All advice or information from the British Cement Association and/or Reinforced Concrete

will evaluate the significance and limitations of its contents and take responsibility for its us

(including that for negligence) for any loss resulting from such advice or information is acc

subcontractors, suppliers or advisors. Users should note that all BCA software and public

time to time and should therefore ensure that they are in possession of the latest version.

This spreadsheet should be used in compliance with the accompanying publication 'Sprea

8110 and EC2'available from British Cement Association, Telford Avenue, Crowthorne, B

Page 8


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Notes

Page 9


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Notes

ouncil is intended for those who

e and application. No liability

pted by the BCA, RCC or their

tions are subject to revision from

sheets for concrete design to BS

rkshire RG45 6YS.

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138443581-Retaining-Wall-Design.xls