rcc62 retaining wall.xls

Project Spreadsheets to BS 8110etc Client Advisory Group Made by Date Page

Location Grid line 1 rc 18-Apr-2023 134

RETAINING WALL design to BS 8110:2005 Checked Revision Job No

v3.1 © 2006 TCC 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 = 3250 B = 4000 Tw = 300Hw = 1500 BI = 1200 Tb = 300Hp = 300 BN = 0 TN = 0Hn = 0

MATERIAL PROPERTIES steel class Afcu = 35 N/mm² 1.5 concretefy = 500 N/mm² 1.15 steel

cover to tension steel = 50 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 ) = 20 kN/m³

Submerged Density of retained mat'l (qs ) = 5.00 kN/m³ [default=2/3*q (only apply when 13.33Design 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) = 200 kN/m² c) Granular backfill

LOADINGS Surcharge load -- live (SQK) = 10 kN/m²Surcharge load -- dead (SGK) = 10 water beneath the wall.

Line load -- live (LQK) = 10.3 kN/mLine load -- dead (LGK) = 43 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

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 = 29.58 LE = 1.194 35.33 1.40 41.42 49.46

PS(GK) = 10.83 LS = 1.63 17.60 1.40 15.17 24.65PS(QK) = 10.83 LS = 1.63 17.60 1.60 17.33 28.17PL(GK) = 0.00 LL = 3.25 0.00 1.40 0.00 0.00PL(QK) = 0.00 LL = 3.25 0.00 1.60 0.00 0.00

PW = 11.25 LW = 0.50 5.63 1.40 15.75 7.87Total 62.50 76.16 89.67 110.15

PP = -9.49 (LP-HN) = 0.15 -1.38 1.00 -9.49 -1.38

The Concrete Centre

Originated from 'RCC62.xls'

DIMENSIONS (mm)

gm =gm =

(0.2 or 0.3 mm only)

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 The Concrete Centre

Client Advisory Group Made by Date Page



Originated from 'RCC62.xls' v3.1 © 2006 TCC 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 = 29.58 LE = 1.08 32.05 EARTH

PS(GK) = 10.83 LS = 1.63 17.60 Warning:PS(QK) = 10.83 LS = 1.63 17.60PL(GK) = 0.00 LL = 3.25 0.00PL(QK) = 0.00 LL = 3.25 0.00

PW = 11.25 LW = 0.50 5.6362.50

Pp = -9.49 (LP-HN) = 0.15 -1.3871.50

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

Moments Wall = 17.64 1.35 23.81Base = 16.80 2.00 33.60 Warning:

Nib = 0.00 0.00 0.00Earth = 102.50 2.75 281.88

Water = 30.00 2.75 82.50 Surcharge = 50.00 2.75 137.50 Line load = 53.30 1.50 79.95

270.24 639.24

Factor of Safety, Mr / Mo = 8.94 > 1.50 OK

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

62.50 kN

PASSIVE FORCE, Pp x Reduction factor (1) = -9.49 kN Red'n factor for passive force = 1.00-138.36 kN-147.85 kN

Factor of Safety, Pr / P = 2.37 > 1.50 OK

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

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

Wall = 21.24 0.65 13.81Base = 28.80 0.00 0.00

Nib = 0.00 2.00 0.00Earth = 102.50 -0.75 -76.88

Water = 30.00 -0.75 -22.50Surcharge= 50.00 -0.75 -37.50Line load = 53.30 0.50 26.65

285.84 -96.42

71.50 kNm

-24.91 kNm

-0.09 m77 kN/m² < 200 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) =

4.00

3.52

3.04

2.56

2.08

1.60

1.12

0.64

0.16

0

50

100

BEARING PRESSURE (KN/m²)

PS(QK)

PL(GK)

PL(QK)

PS(GK)

PW

ALLOW BUOYANCY OF BASE






BS8110

1.45 (default = ult mt / non-factored m1.45 reference

V ult = 85.74 kNM ult = 67.33 kNm ( '+' TENSION AT BOTTOM FACE)

Min. As = 390 Table 3.25

16 mmcentres = 150 mm < 558 OK 3.12.11.2.7(b)

Asprov = 1340 > 390 OK

MOMENT of RESISTANCE : d = 242 mmz = 223.36 mm 3.4.4.4

As' = 0Mres = 130.17 kNm > 67.33 OK

SHEAR RESISTANCE: 100 As/bd = 0.55%vc = 0.66 Table 3.8

Vres = 159.32 kN > 85.74 OK 3.5.5.2

CHECK CRACK WIDTH TO BS8110/BS8007 :(Temperature and shrinkage effects not included)X = 80.69 mm 0.000541 BS8007

Acr = 86.81 mm W = 0.11 mm < 0.30 OK App. B.2

V ult = 81.52 kNM ult = 18.13 kNm (TENSION - TOP FACE)

Min. As = 390 Table 3.25

16 mmcentres = 150 mm < 558 OK 3.12.11.2.7(b)

Asprov = 1340 > 390 OK

MOMENT RESISTANCE : d = 242 mmz = 223.36 mm 3.4.4.4

As' = 0Mres = 130.17 kNm > 18.13 OK

SHEAR RESISTANCE: 100 As/bd = 0.55%vc = 0.66 Table 3.8

Vres = 159.32 kN > 81.52 OK 3.5.5.2

CHECK CRACK WIDTH to BS8100/ BS8007 :(Temperature and shrinkage effects not included)X = 80.69 mm -0.00026 BS8007

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

REINFORCEMENT SUMMARY for BASE

Type f Centers As Min. As

mm mmTOP (DESIGN) H 16 150 1340 390 OK

BOTTOM (DESIGN) H 16 150 1340 390 OK

TRANSVERSE H 12 200 565 390 OK

BASE - unloaded side ( per metre length ) gf =

BOTTOM REINFORCEMENT : mm2

f =

mm2

mm2

N/mm2

em =

BASE - loaded side ( per metre length )

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 7 H 12 3046 0.888 18.93VERTICAL - Internal face 7 H 20 3110 2.466 53.69TRANSVERSE (Ext.& Int.) 40 H 12 1000 0.888 35.51

BASE TOP (MAIN) 7 H 16 4128 1.578 45.61BOTTOM (MAIN) 7 H 16 4128 1.578 45.61TRANSVERSE ( T & B ) 42 H 12 1000 0.888 37.29WALL STARTERS (Ext.) 7 H 12 1155 0.888 7.18WALL STARTERS (Int.) 7 H 20 1475 2.466 25.46

NIB (assume same reinforcement as wall)INTERNAL FACE (MAIN) 7 H 12 96 0.888 0.60EXTERNAL FACE (MAIN) 7 H 20 160 2.466 2.76TRANSVERSE (EXT.+ INT.) 2 H 12 1000 0.888 1.78

SUMMARY Approx total reinforcement per metre length of wall (kg) 274.4

Diagrams

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

RETAINING WALL design to BS 8110:2005 sheet 1 of 2 Made by rc Job No R68Originated from 'RCC62.xls' v3.1 © 2006 TCC

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)))))

4

1 76.900 76.90 3

0.4 76.90 30.8 76.90 31.2 76.90 31.6 76.90 3

2 76.90 32.4 76.90 32.8 76.90 33.2 76.90 33.6 76.90 3

4 76.90 34 0.00 0

IF(ECCY<0,B/1000-B/1000/50*B24,B/1000/50*B24)72.23

0 4.00 58.217 0 58.217 0.080 4.657 6.101 0.080 4.6571 3.92 58.591 1 58.591 0.080 4.687 5.765 0.080 4.6872 3.84 58.965 2 58.965 0.080 4.717 5.425 0.080 4.7173 3.76 59.338 3 59.338 0.080 4.747 5.079 0.080 4.7474 3.68 59.712 4 59.712 0.080 4.777 4.729 0.080 4.7775 3.60 60.086 5 60.086 0.080 4.807 4.374 0.080 4.8076 3.52 60.459 6 60.459 0.080 4.837 4.015 0.080 4.8377 3.44 60.833 7 60.833 0.080 4.867 3.650 0.080 4.8678 3.36 61.207 8 61.207 0.080 4.897 3.281 0.080 4.8979 3.28 61.581 9 61.581 0.080 4.926 2.907 0.080 4.926

10 3.20 61.954 10 61.954 0.080 4.956 2.528 0.080 4.95611 3.12 62.328 11 62.328 0.080 4.986 2.144 0.080 4.98612 3.04 62.702 12 62.702 0.080 5.016 1.756 0.080 5.01613 2.96 63.075 13 63.075 0.080 5.046 1.362 0.080 5.04614 2.88 63.449 14 63.449 0.000 0.000 0.000 0.000 0.00015 2.80 63.823 15 63.823 0.000 0.000 0.000 0.000 0.00016 2.72 64.197 76.90 16 64.197 0.000 0.000 0.000 0.000 0.00017 2.64 64.570 BP 0 76.903 17 64.570 0.000 0.000 0.000 0.000 0.00018 2.56 64.944 BPE 1.2 76.903 18 64.944 0.000 0.000 0.000 0.000 0.00019 2.48 65.318 BPI 1.5 76.903 19 65.318 0.000 0.000 0.000 0.000 0.00020 2.40 65.691 BPZ 4 76.903 20 65.691 0.000 0.000 0.000 0.000 0.00021 2.32 66.065 21 66.065 0.000 0.000 0.000 0.000 0.00022 2.24 66.439 22 66.439 0.000 0.000 0.000 0.000 0.00023 2.16 66.813 23 66.813 0.000 0.000 0.000 0.000 0.00024 2.08 67.186 24 67.186 0.000 0.000 0.000 0.000 0.00025 2.00 67.560 25 67.560 0.000 0.000 0.000 0.000 0.00026 1.92 67.934 26 67.934 0.000 0.000 0.000 0.000 0.00027 1.84 68.307 27 68.307 0.000 0.000 0.000 0.000 0.00028 1.76 68.681 28 68.681 0.000 0.000 0.000 0.000 0.00029 1.68 69.055 29 69.055 0.000 0.000 0.000 0.000 0.00030 1.60 69.429 30 69.429 0.000 0.000 0.000 0.000 0.00031 1.52 69.802 31 69.802 0.000 0.000 0.000 0.000 0.00032 1.44 70.176 32 70.176 0.000 0.000 0.000 0.000 0.00033 1.36 70.550 33 70.550 0.000 0.000 0.000 0.000 0.00034 1.28 70.923 34 70.923 0.000 0.000 0.000 0.000 0.00035 1.20 71.297 35 71.297 0.000 0.000 0.000 0.000 0.00036 1.12 71.671 36 71.671 0.000 0.000 0.000 0.000 0.00037 1.04 72.045 37 72.045 0.000 0.000 0.000 0.000 0.00038 0.96 72.418 38 72.418 0.000 0.000 0.000 0.000 0.00039 0.88 72.792 39 72.792 0.000 0.000 0.000 0.000 0.00040 0.80 73.166 40 73.166 0.000 0.000 0.000 0.000 0.00041 0.72 73.539 41 73.539 0.000 0.000 0.000 0.000 0.00042 0.64 73.913 42 73.913 0.000 0.000 0.000 0.000 0.00043 0.56 74.287 43 74.287 0.000 0.000 0.000 0.000 0.00044 0.48 74.661 44 74.661 0.000 0.000 0.000 0.000 0.00045 0.40 75.034 45 75.034 0.000 0.000 0.000 0.000 0.00046 0.32 75.408 46 75.408 0.000 0.000 0.000 0.000 0.00047 0.24 75.782 47 75.782 0.000 0.000 0.000 0.000 0.00048 0.16 76.155 48 76.155 0.000 0.000 0.000 0.000 0.00049 0.08 76.529 49 76.529 0.000 0.000 0.000 0.000 0.00050 0.00 76.9029 50 76.903 0.000 0.000 0.000 0.000 0.000

67.924 53.116 67.924

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 1 2 3 4 5

0.00

50.00

100.00

BEARING PRESSURE DI-AGRAM

M

KN

/M^

2

4.00

3.44

2.88

2.32

1.76

1.20

0.64

0.08

0

50

100

BEARING PRESSURE DIAGRAM

M

KN

/M^

2

Diagrams

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

RETAINING WALL design to BS 8110:2005 sheet 1 of 2 Made by rc Job No R68Originated from 'RCC62.xls' v3.1 © 2006 TCC

YY= 2.95 MTE= 24.98MTLG= 0.00MTLQ= 0.00MTSG= 14.504MTSQ= 14.50MTW= 2.88

UTM= 82.5282.52

0 0.00 0 0.001 0.06 0.0255 0.062 0.12 0.1021 0.123 0.18 0.2297 0.184 0.24 0.4084 0.245 0.30 0.6382 0.306 0.35 0.919 0.357 0.41 1.2508 0.418 0.47 1.6337 0.479 0.53 2.0677 0.53

10 0.59 2.5527 0.5911 0.65 3.0888 0.6512 0.71 3.6759 0.7113 0.77 4.3141 0.7714 0.83 5.0033 0.8315 0.89 5.7436 0.8916 0.94 6.535 0.9417 1.00 7.3774 1.0018 1.06 8.2708 1.0619 1.12 9.2153 1.1220 1.18 10.211 1.1821 1.24 11.258 1.2422 1.30 12.355 1.3023 1.36 13.504 1.3624 1.42 14.704 1.4225 1.48 15.955 1.4826 1.53 17.381 1.5327 1.59 18.976 1.5928 1.65 20.659 1.6529 1.71 22.429 1.7130 1.77 24.29 1.7731 1.83 26.232 1.8332 1.89 28.255 1.8933 1.95 30.365 1.9534 2.01 32.563 2.0135 2.07 34.853 2.0736 2.12 37.238 2.1237 2.18 39.722 2.1838 2.24 42.308 2.2439 2.30 44.999 2.3040 2.36 47.8 2.3641 2.42 50.712 2.4242 2.48 53.74 2.4843 2.54 56.887 2.5444 2.60 60.156 2.6045 2.66 63.55 2.6646 2.71 67.073 2.7147 2.77 70.729 2.7748 2.83 74.52 2.8349 2.89 78.451 2.8950 2.95 82.523 2.95

0 00 300

1200 3001200 32501500 32501500 3004000 3004000 0

0 00 00 00 00 0

0.00

0.12

0.24

0.35

0.47

0.59

0.71

0.83

0.94

1.06

1.18

1.30

1.42

1.53

1.65

1.77

1.89

2.01

2.12

2.24

2.36

2.48

2.60

2.71

2.83

2.95

0 10 20 30 40 50 60 70 80 90MOMENT DIAGRAM

ULT. MT (KNM)

WA

LL

(M

)

0

10

00

20

00

30

00

40

00

0

500

1000

1500

2000

2500

3000

3500

4000

WALL GEOMETRY

BASE ( mm)

WA

LL

(m

m)

Diagrams

3250 4000

0

10

00

20

00

30

00

40

00

0

500

1000

1500

2000

2500

3000

3500

4000

WALL GEOMETRY

BASE ( mm)

WA

LL

(m

m)

Diagrams

Made by rc Job No R68Date 18-Apr-23

0.08 4.6570.08 4.6870.08 4.7170.08 4.7470.08 4.7770.08 4.8070.08 4.8370.08 4.8670.08 4.8970.08 4.9260.08 4.9560.08 4.9860.08 5.0160.08 5.0460.08 5.0760.08 5.1060.08 5.1360.08 5.166

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

88.407

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

Made by rc Job No R68Date 18-Apr-23

Project Spreadsheets to BS 8110etc Location Grid line 1 CRACK WIDTH CALCULATIONS

RETAINING WALL design to BS 8110:2005 Made by rc Job No R68Originated from 'RCC62.xls' v3.1 © 2006 TCC Date 18-Apr-23

WALLMR= 15.06 MIN SPACING= 364 ASreq = 932.14 fs = 148.35Asprov%= 0.8727

As/bd= 0.009 MSBB= 558 ASBBreq 0.01 fs = 0.0025Asprov%= 0.5539X= 95.47 MSBT= 558 ASBTreq 186.73 fs = 46.437Asprov%= 0.5539Ic= 948749705

STS= 0.0007ST1= 0.0010ST2= 0.0003455Acr= 86.046864

W= 0.12

0.0006

MR= 15.06 MR= 15.06AsBB/bd= 0.0055 AsBB/bd= 0.0055

X= 80.69 X= 80.69Ic= 700256021 Ic= 700256021

STS= 0.0008 STS= 0.0002ST1= 0.0011 ST1= 0.0003ST2= 0.0005561 ST2= 0.0005561Acr= 86.810337 Acr= 86.810337

W= 0.11 W= -0.0508

0.0005 -0.0003

em=

em= em=

Notes

Disclaimer

Status of spreadsh

Public release version

Date Version Action28-Jun-06RCC62 v3.1

### RCC62 v3.0 Updated to 2005 versions of BS8110 & BS8666

21-Oct-04RCC62 v2.3

### RCC62 v2.2 Correction when distance X to line load ≤ 0.

22-Jan-03 RCC62 v2.1 DETR logo replaced by DTI.

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

### RCC62 v1.4 Data! Main graphic changed to jpeg

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

15-Apr-01RCC62 v1.2

### RCC62 v1.1

6-Aug-99 RCC62 v1.0

All advice or information from the British Cement Association and/or The Concrete Centre 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, TCC or their subcontractors, suppliers or advisors. Users should note that all TCC 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 'User Guide RC Spreadsheets: v3' available from The Concrete Bookshop, www.concretebookshop.com, Tel +44 (0)700 4 607777 or +44 (0)1276 607140

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

The Concrete Bookshop.

Revision history RCC62 Retaining Wall.xls

v3 release. Page nos, User Guide and registration details amended.

Names of sides of base on DESIGN sheet changed from "outside" and " inside" to "unloaded" and "loaded".

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

563

585

580

565

563

583

365

365

398

398

398

All advice or information from the British Cement Association and/or The Concrete Centre 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, TCC or their subcontractors, suppliers or advisors. Users should note that all TCC software and publications are subject to revision from time to time and should therefore ensure that they

This spreadsheet should be used in compliance with the accompanying publication 'User Guide RC Spreadsheets: v3' available from The Concrete Bookshop, www.concretebookshop.com, Tel +44 (0)700 4 607777 or +44 (0)1276 607140

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

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rcc62 retaining wall.xls

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