RCC62 Retaining Wall

### OPERATING INSTRUCTIONS Project Spreadsheets to BS 8110etc REINFORCED CONCRETE COUNCIL

Client Advisory Group Made by Date Page

Location Grid line 1 rc 08-Apr-2023 101

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

v2.1 © 1999-2002 BCA for RCC chg - R68

IDEALISED STRUCTURE and FORCE DIAGRAMS DESIGN STATUS: VALID

WARNING : Passive pressure should only be considered if it � can be guaranteed that � there will be no future excavation in front of the wall.

�H = 1550 B = 1200 Tw = 250

Hw = 0 BI = 200 Tb = 250Hp = 0 BN = 0 TN = 0Hn = 0

MATERIAL PROPERTIESfcu = 40 N/mm² 1.5 concrete �fy = 460 N/mm² 1.05 steel �

cover to tension steel = 40 mmMax allowable design surface crack width (W) = 0.3 mm

Concrete density = 24 kN/m³ SOIL PROPERTIES Wall GeometryDesign angle of int'l friction of retained mat'l (Ø) = 30 degree

Design cohesion of retained mat'l (C ) = 0 kN/m² (Only granular backfil considered, "C" = zero)Density of retained mat'l (q ) = 18 kN/m³

Submerged Density of retained mat'l (qs ) = 0.00 kN/m³ [default=2/3*q (only apply when 12.00Design angle of int'l friction of base mat'l (Øb) = 20 degree ASSUMPTIONS

Design cohesion of base material (Cb ) = 10 kN/m² a) Wall friction is zeroDensity of base material (qb ) = 10 kN/m³ b) Minimum active earth pressure = 0.25qH

Allowable gross ground bearing pressure (GBP) = 50 kN/m² c) Granular backfill

LOADINGS Surcharge load -- live (SQK) = 0 kN/m²Surcharge load -- dead (SGK) = 5 water beneath the wall.

Line load -- live (LQK) = 0 kN/m 0.00001Line load -- dead (LGK) = 0 kN/m lateral earth pressures

Distance of line load from wall (X) = 0 mm h) Design not intended for walls over 3.0 m high 7.21

LATERAL FORCES (unfactored) Ka = 0.33 [ default ka = (1-SIN Ø)/(1+SIN Ø) ]0.33Kp = 2.04 [ default kp = (1+SIN Øb)/(1-SIN Ø2.04

Kpc = 2.86 2.86Kac = 1.15

Force Lever arm Moment about TOE

(kN) (m) (kNm) (kN) (kNm)PE = 7.21 LE = 0.517 3.72 1.40 10.09 5.21

PS(GK) = 2.58 LS = 0.78 2.00 1.40 3.62 2.80PS(QK) = 0.00 LS = 0.78 0.00 1.60 0.00 0.00PL(GK) = 0.00 LL = 1.55 0.00 1.40 0.00 0.00PL(QK) = 0.00 LL = 1.55 0.00 1.60 0.00 0.00

PW = 0.00 LW = 0.00 0.00 1.40 0.00 0.00 REINFORCEMENT DENSITY

Total 9.79 5.73 13.71 8.02 67.6 kg/mPP = 0.00 (LP-HN) = 0.00 0.00 1.00 0.00 0.00

ENTER DATA IN BLUE CELLS ONLY.

RED MESSAGES INDICATE ENTRY ERRORS.

Originated from 'RCC62.xls'

DIMENSIONS (mm)

gm =gm =

(0.2 or 0.3 mm only)

BS8007 specifies crack widths of 0.1 or 0.2 mm.

d)Does not include check of rotational slide/slope failuree)Does not include effect of seepage of ground

f)Does not include deflection check of wall due to

i) Does not include check for temp. or shrinkage effects

[ default kpc = 2kp0.5 ] = [ 2ka0.5 ]

gf Fult Mult

Project Spreadsheets to BS 8110etc REINFORCED CONCRETE COUNCIL



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

Originated from 'RCC62.xls' v2.1 © 1999-2002 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 = 7.21 LE = 0.52 3.72 EARTH

PS(GK) = 2.58 LS = 0.78 2.00 Warning:PS(QK) = 0.00 LS = 0.78 0.00PL(GK) = 0.00 LL = 1.55 0.00PL(QK) = 0.00 LL = 1.55 0.00

PW = 0.00 LW = 0.00 0.009.79

Pp = 0.00 (LP-HN) = 0.00 0.005.73

Restoring Vertical FORCE (kN) Lever arm (m) Moment (kNm)

Moments Wall = 7.80 0.33 2.54Base = 7.20 0.60 4.32 Warning:

Nib = 0.00 0.00 0.00Earth = 17.55 0.83 14.48

Water = 0.00 0.83 0.00 Surcharge = 3.75 0.83 3.09 Line load = 0.00 0.45 0.00

36.30 24.43

Factor of Safety, Mr / Mo = 4.27 > 1.50 OK

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

9.79 kN

PASSIVE FORCE, Pp x Reduction factor (1) = 0.00 kN Red'n factor for passive force = 1.00-25.21 kN-25.21 kN

Factor of Safety, Pr / P = 2.58 > 1.50 OK

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

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

Wall = 7.80 0.28 2.15Base = 7.20 0.00 0.00

Nib = 0.00 0.60 0.00Earth = 17.55 -0.23 -3.95

Water = 0.00 -0.23 0.00Surcharge= 3.75 -0.23 -0.84Line load = 0.00 0.15 0.00

36.30 -2.65

5.73 kNm

3.08 kNm

0.08 m43 kN/m² < 50 OK

å P =

å Mo =

å V = å Mr =

Sum of LATERAL FORCES, P =

BASE FRICTION ( å V TANØb + B Cb ) = Sum of FORCES RESISTING SLIDING, Pr =

å V = å Mv =

Moment due to LATERAL FORCES, Mo =

Resultant Moment, M = Mv + Mo =

Eccentricity from base centre, M / V = Therefore, MAXIMUM Gross Bearing Pressure (GRP) =

0.00

0.14

0.29

0.43

0.58

0.72

0.86

1.01

1.15

0

50

BEARING PRESSURE (KN/m²)

PS(QK)

PL(GK)

PL(QK)

PS(GK)

PW

ALLOW BUOYANCY OF BASE






OUTER BASE ( per metre length ) BS8110

1.40 (default = ult mt / non-factored m1.40 reference

V ult = 9.42 kNM ult = 2.11 kNm ( '+' TENSION AT BOTTOM FACE)

Min. As = 325 Table 3.25

12 mmcentres = 200 mm < 624 OK 3.12.11.2.7(b)

Asprov = 565 > 325 OK

MOMENT of RESISTANCE : d = 204 mmz = 193.80 mm 3.4.4.4

As' = 0Mres = 48.01 kNm > 2.11 OK

SHEAR RESISTANCE: 100 As/bd = 0.28%vc = 0.57 Table 3.8

Vres = 116.35 kN > 9.42 OK 3.5.5.2

CHECK CRACK WIDTH TO BS8110/BS8007 :(Temperature and shrinkage effects not included)X = 49.59 mm -0.001057 BS8007

Acr = 104.07 mm W = -0.20 mm < 0.30 OK App. B.2

NO CRACKING INNER BASE ( per metre length )

V ult = 8.72 kNM ult = 2.93 kNm (TENSION - TOP FACE)

Min. As = 325 Table 3.25

12 mmcentres = 200 mm < 624 OK 3.12.11.2.7(b)

Asprov = 565 > 325 OK

MOMENT RESISTANCE : d = 204 mmz = 193.80 mm 3.4.4.4

As' = 0Mres = 48.01 kNm > 2.93 OK

SHEAR RESISTANCE: 100 As/bd = 0.28%vc = 0.57 Table 3.8

Vres = 116.35 kN > 8.72 OK 3.5.5.2

CHECK CRACK WIDTH to BS8100/ BS8007 :(Temperature and shrinkage effects not included)X = 49.59 mm -0.001022 BS8007

Acr = 104.07 mm W = -0.19 mm < 0.30 OK App. B.2

REINFORCEMENT SUMMARY for BASE

Type f Centers As Min. As

mm mmTOP (DESIGN) T 12 200 565 325 OK

BOTTOM (DESIGN) T 12 200 565 325 OK

TRANSVERSE T 12 200 565 325 OK

gf =

BOTTOM REINFORCEMENT : mm2

f =

mm2

mm2

N/mm2

em =

TOP REINFORCEMENT : mm2

f =

mm2

mm2

N/mm2

em =

mm2 mm2






APPROXIMATE WEIGHT OF REINFORCEMENT

No. Type Dia Length Unit Wt Weight

WALL VERTICAL - External face 6 T 12 1396 0.888 7.44VERTICAL - Internal face 6 T 12 1396 0.888 7.44TRANSVERSE (Ext.& Int.) 14 T 12 1000 0.888 12.43

BASE TOP (MAIN) 6 T 12 1296 0.888 6.90BOTTOM (MAIN) 6 T 12 1296 0.888 6.90TRANSVERSE ( T & B ) 14 T 12 1000 0.888 12.43WALL STARTERS (Ext.) 6 T 12 1055 0.888 5.62WALL STARTERS (Int.) 6 T 12 1055 0.888 5.62

NIB (assume same reinforcement as wall)INTERNAL FACE (MAIN) 6 T 12 96 0.888 0.51EXTERNAL FACE (MAIN) 6 T 12 96 0.888 0.51TRANSVERSE (EXT.+ INT.) 2 T 12 1000 0.888 1.78

SUMMARY Approx total reinforcement per metre length of wall (kg) 67.6

Diagrams

Page 5

Project Spreadsheets to BS 8110etc Location Grid line 1 DATA FOR DIAGRAMS I

RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etc. sheet 1 of 2 Made by rc Job No R68Originated from 'RCC62.xls' v2.1 © 1999-2002 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/1000)))))

1.2

1 21.700 43.08 3

0.12 40.51 30.24 37.95 30.36 35.38 30.48 32.82 30.6 30.25 3

0.72 27.68 30.84 25.12 30.96 22.55 31.08 19.99 31.2 17.42 31.2 0.00 0

IF(ECCY<0,B/1000-B/1000/50*B24,B/1000/50*B24)21.70

0 0.00 43.077 0 43.077 0.024 1.034 0.324 0.024 1.0341 0.02 42.564 1 42.564 0.024 1.022 0.295 0.024 1.0222 0.05 42.051 2 42.051 0.024 1.009 0.267 0.024 1.0093 0.07 41.538 3 41.538 0.024 0.997 0.240 0.024 0.9974 0.10 41.025 4 41.025 0.024 0.985 0.214 0.024 0.9855 0.12 40.511 5 40.511 0.024 0.972 0.188 0.024 0.9726 0.14 39.998 6 39.998 0.024 0.960 0.162 0.024 0.9607 0.17 39.485 7 39.485 0.024 0.948 0.137 0.024 0.9488 0.19 38.972 8 38.972 0.000 0.000 0.000 0.000 0.0009 0.22 38.459 9 38.459 0.000 0.000 0.000 0.000 0.000

10 0.24 37.946 10 37.946 0.000 0.000 0.000 0.000 0.00011 0.26 37.433 11 37.433 0.000 0.000 0.000 0.000 0.00012 0.29 36.920 12 36.920 0.000 0.000 0.000 0.000 0.00013 0.31 36.407 13 36.407 0.000 0.000 0.000 0.000 0.00014 0.34 35.894 14 35.894 0.000 0.000 0.000 0.000 0.00015 0.36 35.381 15 35.381 0.000 0.000 0.000 0.000 0.00016 0.38 34.868 21.70 16 34.868 0.000 0.000 0.000 0.000 0.00017 0.41 34.355 BP 0 43.077 17 34.355 0.000 0.000 0.000 0.000 0.00018 0.43 33.842 BPE 0.2 38.801 18 33.842 0.000 0.000 0.000 0.000 0.00019 0.46 33.328 BPI 0.45 33.457 19 33.328 0.000 0.000 0.000 0.000 0.00020 0.48 32.815 BPZ 1.2 17.423 20 32.815 0.000 0.000 0.000 0.000 0.00021 0.50 32.302 21 32.302 0.000 0.000 0.000 0.000 0.00022 0.53 31.789 22 31.789 0.000 0.000 0.000 0.000 0.00023 0.55 31.276 23 31.276 0.000 0.000 0.000 0.000 0.00024 0.58 30.763 24 30.763 0.000 0.000 0.000 0.000 0.00025 0.60 30.250 25 30.250 0.000 0.000 0.000 0.000 0.00026 0.62 29.737 26 29.737 0.000 0.000 0.000 0.000 0.00027 0.65 29.224 27 29.224 0.000 0.000 0.000 0.000 0.00028 0.67 28.711 28 28.711 0.000 0.000 0.000 0.000 0.00029 0.70 28.198 29 28.198 0.000 0.000 0.000 0.000 0.00030 0.72 27.685 30 27.685 0.000 0.000 0.000 0.000 0.00031 0.74 27.172 31 27.172 0.000 0.000 0.000 0.000 0.00032 0.77 26.658 32 26.658 0.000 0.000 0.000 0.000 0.00033 0.79 26.145 33 26.145 0.000 0.000 0.000 0.000 0.00034 0.82 25.632 34 25.632 0.000 0.000 0.000 0.000 0.00035 0.84 25.119 35 25.119 0.000 0.000 0.000 0.000 0.00036 0.86 24.606 36 24.606 0.000 0.000 0.000 0.000 0.00037 0.89 24.093 37 24.093 0.000 0.000 0.000 0.000 0.00038 0.91 23.580 38 23.580 0.000 0.000 0.000 0.000 0.00039 0.94 23.067 39 23.067 0.000 0.000 0.000 0.000 0.00040 0.96 22.554 40 22.554 0.000 0.000 0.000 0.000 0.00041 0.98 22.041 41 22.041 0.000 0.000 0.000 0.000 0.00042 1.01 21.528 42 21.528 0.000 0.000 0.000 0.000 0.00043 1.03 21.015 43 21.015 0.000 0.000 0.000 0.000 0.00044 1.06 20.502 44 20.502 0.000 0.000 0.000 0.000 0.00045 1.08 19.989 45 19.989 0.000 0.000 0.000 0.000 0.00046 1.10 19.475 46 19.475 0.000 0.000 0.000 0.000 0.00047 1.13 18.962 47 18.962 0.000 0.000 0.000 0.000 0.00048 1.15 18.449 48 18.449 0.000 0.000 0.000 0.000 0.00049 1.18 17.936 49 17.936 0.000 0.000 0.000 0.000 0.00050 1.20 17.4232 50 17.423 0.000 0.000 0.000 0.000 0.000

7.926 1.827 7.926

IF(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))))+(B/1000-XX)/(B/1000)*(BP-(VL/(B/1000)*(1-(6*ECCY)/(B/1000)))))

0 0.5 1 1.5

0.00

50.00

BEARING PRESSURE DI-AGRAM

M

KN

/M^

2

0.00

0.17

0.34

0.50

0.67

0.84

1.01

1.18

0

50

BEARING PRESSURE DIAGRAM

M

KN

/M^

2

Diagrams

Page 6

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

RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etc. sheet 1 of 2 Made by rc Job No R68Originated from 'RCC62.xls' v2.1 © 1999-2002 BCA for RCC

YY= 1.3 MTE= 2.54MTLG= 0.00MTLQ= 0.00MTSG= 1.4083MTSQ= 0.00MTW= 0.00

UTM= 5.525.52

0 0.00 0 0.001 0.03 0.0022 0.032 0.05 0.0088 0.053 0.08 0.0199 0.084 0.10 0.0353 0.105 0.13 0.0552 0.136 0.16 0.0795 0.167 0.18 0.1082 0.188 0.21 0.1413 0.219 0.23 0.1789 0.23

10 0.26 0.2208 0.2611 0.29 0.2672 0.2912 0.31 0.318 0.3113 0.34 0.3732 0.3414 0.36 0.4328 0.3615 0.39 0.4969 0.3916 0.42 0.5653 0.4217 0.44 0.6382 0.4418 0.47 0.7155 0.4719 0.49 0.7972 0.4920 0.52 0.8833 0.5221 0.55 0.9738 0.5522 0.57 1.0688 0.5723 0.60 1.1682 0.6024 0.62 1.272 0.6225 0.65 1.3802 0.6526 0.68 1.4928 0.6827 0.70 1.6098 0.7028 0.73 1.7313 0.7329 0.75 1.8572 0.7530 0.78 1.9874 0.7831 0.81 2.1221 0.8132 0.83 2.2613 0.8333 0.86 2.4048 0.8634 0.88 2.5528 0.8835 0.91 2.7051 0.9136 0.94 2.8619 0.9437 0.96 3.0231 0.9638 0.99 3.1887 0.9939 1.01 3.3588 1.0140 1.04 3.5332 1.0441 1.07 3.7121 1.0742 1.09 3.8954 1.0943 1.12 4.0831 1.1244 1.14 4.2752 1.1445 1.17 4.4717 1.1746 1.20 4.6727 1.2047 1.22 4.8781 1.2248 1.25 5.0878 1.2549 1.27 5.302 1.2750 1.30 5.5207 1.30

0 00 250

200 250200 1550450 1550450 2501200 2501200 0

0 00 00 00 00 0

1550 1200

0.00

0.05

0.10

0.16

0.21

0.26

0.31

0.36

0.42

0.47

0.52

0.57

0.62

0.68

0.73

0.78

0.83

0.88

0.94

0.99

1.04

1.09

1.14

1.20

1.25

1.30

0 1 2 3 4 5 6MOMENT DIAGRAM

ULT. MT (KNM)

WA

LL

(M

)

0

1000

2000

3000

4000

0

500

1000

1500

2000

2500

3000

3500

4000

WALL GEOMETRY

BASE ( mm)

WA

LL

(m

m)

Diagrams

Page 7

Made by rc Job No R68Date 8-Apr-23

0.024 1.0340.024 1.0220.024 1.0090.024 0.9970.024 0.9850.024 0.9720.024 0.9600.024 0.9480.024 0.9350.024 0.9230.024 0.9110.024 0.8980.024 0.8860.024 0.8740.024 0.8610.024 0.8490.024 0.8370.024 0.825

0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.000

16.725

IF(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))))+(B/1000-XX)/(B/1000)*(BP-(VL/(B/1000)*(1-

Diagrams

Page 8

Made by rc Job No R68Date 8-Apr-23

Page 9

Project Spreadsheets to BS 8110etc Location 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' v2.1 © 1999-2002 BCA for RCC Date 8-Apr-23

WALLMR= 14.08 MIN SPACING= 624 ASreq = 59.45 fs = 32.24 Asprov%= 0.2772

As/bd= 0.003 MSBB= 624 ASBBreq 0.01 fs = 0.0054Asprov%= 0.2772X= 49.59 MSBT= 624 ASBTreq 34.541 fs = 18.732Asprov%= 0.2772Ic= 230533525

STS= 0.0002ST1= 0.0002ST2= 0.0011499Acr= 104.0727

W= -0.18

-0.0009

MR= 14.08 MR= 14.08AsBB/bd= 0.0028 AsBB/bd= 0.0028

X= 49.59 X= 49.59Ic= 230533525 Ic= 230533525

STS= 0.0001 STS= 0.0001ST1= 0.0001 ST1= 0.0001ST2= 0.0011499 ST2= 0.0011499Acr= 104.0727 Acr= 104.0727

W= -0.20 W= -0.1946

-0.0011 -0.0010

em=

em= em=

Notes

Page 10

Disclaimer

Status of spreadshee

Public release version.

Date Version Action22-Jan-03 RCC62 v2.1 DETR logo replaced by DTI.

11-Oct-02 RCC62 v2.0 Version 2 enhancements

29-May-02 RCC62 v1.4 Data! Main graphic changed to jpeg

16-Jun-01 RCC62 v1.3 Crack width calculation to outer base amended

15-Apr-01 RCC62 v1.2

24-Mar-00 RCC62 v1.1

6-Aug-99 RCC62 v1.0

All advice or information from the British Cement Association and/or Reinforced Concrete Council is intended for those who will evaluate the significance and limitations of its contents and take responsibility for its use and application. No liability (including that for negligence) for any loss resulting from such advice or information is accepted by the BCA, RCC or their subcontractors, suppliers or advisors. Users should note that all BCA software and publications are subject to revision from 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

This spreadsheet is shareware. It may be distributed freely, but may not be used for commercial purposes until the user has registered with the

RCC.Revision history RCC62 Retaining Wall.xls

Buoyance option + notes added. Passive pressure reduction factor rectified

Crack width w for top of inner base amended. Notes re crack widths and cracking added in DATA!

First public release. Includes b version comments

Notes

Page 11

563

583

365

365

398

398

398

All advice or information from the British Cement Association and/or Reinforced Concrete Council is intended for those who will evaluate the significance and limitations of its contents and take responsibility for its use and application. No liability (including that for negligence) for any loss resulting from such advice or information is accepted by the BCA, RCC or their subcontractors, suppliers or advisors. Users should note that all BCA software and publications are subject to revision from time to time and should therefore ensure that they are in

This spreadsheet should be used in compliance with the accompanying publication

This spreadsheet is shareware. It may be distributed freely, but may not be used for commercial purposes until the user has registered with the

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RCC62 Retaining Wall

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