Retaining Wall Rcc62
Transcript of Retaining Wall Rcc62
Project Spreadsheets to BS 8110etc REINFORCED CONCRETE COUNCIL
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RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etChecked Revision Job No
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 = 3200 B = 2750 Tw = 250Hw = 100 BI = 1000 Tb = 400Hp = 200 BN = 0 TN = 0Hn = 0
MATERIAL PROPERTIESfcu = 35 N/mm² 1.5 concretefy = 460 N/mm² 1.05 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 ) = 13.33 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) = 15 kN/mLine 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 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 = 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 23.89PS(QK) = 10.67 LS = 1.60 17.07 1.60 17.07 27.31PL(GK) = 6.67 LL = 2.36 15.74 1.40 9.33 22.03PL(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 0.00Total 67.17 98.09 97.17 143.10
PP = -6.12 (LP-HN) = 0.10 -0.60 1.00 -6.12 -0.60
Originated from 'RCC62.xls' on CD © 1999 BCA for RCC
DIMENSIONS (mm)
gm =gm =
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
[ default kpc = 2kp0.5 ] = [ 2ka0.5 ]
gf Fult Mult
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
HW
Hn
Tb
LP
HP
LL
LS
LW
H
LE
W A T E R
Project Spreadsheets to BS 8110etc REINFORCED CONCRETE COUNCIL
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RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004: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 17.07PS(QK) = 10.67 LS = 1.60 17.07PL(GK) = 6.67 LL = 2.36 15.74PL(QK) = 5.00 LL = 2.36 11.80
PW = 0.05 LW = 0.03 0.0067.17
Pp = -6.12 (LP-HN) = 0.10 -0.60 Warning:97.48
Restoring 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 0.00Earth = 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
192.20 361.95
Factor 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
67.17 kN
PASSIVE FORCE, Pp x Reduction factor (1) = -6.12 kN Red'n factor for passive force = 1.00-97.46 kN-103.58 kN
Factor of Safety, Pr / P = 1.54 > 1.50 OK
GROUND BEARING FAI Taking 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
192.20 -97.68
97.48 kNm
-0.20 kNm
0.00 m70 kN/m² < 200 OK
å P =
Under some conditions,surcharge & line loads may have
stabilising effects on the structure, and it is recommended that
stability checks should also be carried out without these loads.
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) =
2.75
2.42
2.09
1.76
1.43
1.10
0.77
0.44
0.11
50
100
BEARING PRESSURE (KN/m²)
PS(QK)
PL(GK)
PL(QK)
PS(GK)
PW
Project Spreadsheets to BS 8110etc REINFORCED CONCRETE COUNCIL
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RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:Checked Revision Job No
Originated from 'RCC62.xls' on CD © 1999 BCA for RCC chg - R68
OUTER BASE ( per metre length ) BS8110
1.46 (default = ult mt / non-factored m1.46 reference
V ult = 86.79 kNM ult = 53.64 kNm (TENSION - BOTTOM FACE)
Min. As = 520 Table 3.25
12 mmcentres = 200 mm < 762 OK 3.12.11.2.7(b)
Asprov = 565 > 520 OK
MOMENT of RESISTANCE : d = 344 mmz = 326.80 mm 3.4.4.4
As' = 0Mres = 80.96 kNm > 53.64 OK
SHEAR RESISTANCE: 100 As/bd = 0.16%vc = 0.40 Table 3.8
Vres = 138.35 kN > 86.79 OK 3.5.5.2
CHECK CRACK WIDTH IN ACCORDANCE WITH BS8007 :
X = 68.49 mm -0.000762 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)
Min. As = 520 Table 3.25
16 mmcentres = 150 mm < 766 OK 3.12.11.2.7(b)
Asprov = 1340 > 520 OK
MOMENT RESISTANCE : d = 342 mmz = 323.22 mm 3.4.4.4
As' = 0Mres = 189.80 kNm > 89.46 OK
SHEAR RESISTANCE: 100 As/bd = 0.39%vc = 0.54 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 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. As
mm mmTOP (DESIGN) T 16 150 1340 520 OK
BOTTOM (DESIGN) T 12 200 565 520 OK
TRANSVERSE T 12 200 565 520 OK
gf =
BOTTOM REINFORCEMENT : mm2
f =
mm2
mm2
N/mm2
em =
TOP REINFORCEMENT : mm2
f =
mm2
mm2
N/mm2
em =
mm2 mm2
Project Spreadsheets to BS 8110etc REINFORCED CONCRETE COUNCIL
Client Advisory Group Made by Date Page
Location Grid line 1 rc 12-Apr-2023 105
RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:Checked Revision Job No
Originated from 'RCC62.xls' on CD © 1999 BCA for RCC chg - R68
APPROXIMATE WEIGHT OF REINFORCEMENT
No. Type Dia Length Unit Wt Weight
WALL VERTICAL - External face 6 T 10 2880 0.617 10.65VERTICAL - Internal face 9 T 16 2928 1.578 41.59TRANSVERSE (Ext.& Int.) 30 T 10 1000 0.617 18.50
BASE TOP (MAIN) 7 T 16 2878 1.578 31.80BOTTOM (MAIN) 6 T 12 2846 0.888 15.16TRANSVERSE ( T & B ) 28 T 12 1000 0.888 24.86WALL STARTERS (Ext.) 6 T 10 1125 0.617 4.16WALL 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 0.30EXTERNAL FACE (MAIN) 9 T 16 128 1.578 1.82TRANSVERSE (EXT.+ INT.) 2 T 10 1000 0.617 1.23
SUMMARY Approx total reinforcement per metre length of wall (kg) 169.5
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' 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/1000)))))
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 32.75 70.05 32.75 0.00 0
IF(ECCY<0,B/1000-B/1000/50*B24,B/1000/50*B24)69.93
0 2.75 69.734 0 69.734 0.055 3.835 4.209 0.055 3.8351 2.70 69.740 1 69.740 0.055 3.836 3.999 0.055 3.8362 2.64 69.746 2 69.746 0.055 3.836 3.788 0.055 3.8363 2.59 69.753 3 69.753 0.055 3.836 3.577 0.055 3.8364 2.53 69.759 4 69.759 0.055 3.837 3.367 0.055 3.8375 2.48 69.765 5 69.765 0.055 3.837 3.156 0.055 3.8376 2.42 69.772 6 69.772 0.055 3.837 2.945 0.055 3.8377 2.37 69.778 7 69.778 0.055 3.838 2.734 0.055 3.8388 2.31 69.784 8 69.784 0.055 3.838 2.524 0.055 3.8389 2.26 69.790 9 69.790 0.055 3.838 2.313 0.055 3.838
10 2.20 69.797 10 69.797 0.055 3.839 2.102 0.055 3.83911 2.15 69.803 11 69.803 0.055 3.839 1.891 0.055 3.83912 2.09 69.809 12 69.809 0.055 3.840 1.680 0.055 3.84013 2.04 69.816 13 69.816 0.055 3.840 1.469 0.055 3.84014 1.98 69.822 14 69.822 0.055 3.840 1.258 0.055 3.84015 1.93 69.828 15 69.828 0.055 3.841 1.047 0.055 3.84116 1.87 69.834 70.05 16 69.834 0.055 3.841 0.835 0.055 3.84117 1.82 69.841 BP 0 70.048 17 69.841 0.055 3.841 0.624 0.055 3.84118 1.76 69.847 BPE 1 70.048 18 69.847 0.000 0.000 0.000 0.000 0.00019 1.71 69.853 BPI 1.25 70.048 19 69.853 0.000 0.000 0.000 0.000 0.00020 1.65 69.860 BPZ 2.75 70.048 20 69.860 0.000 0.000 0.000 0.000 0.00021 1.60 69.866 21 69.866 0.000 0.000 0.000 0.000 0.00022 1.54 69.872 22 69.872 0.000 0.000 0.000 0.000 0.00023 1.49 69.878 23 69.878 0.000 0.000 0.000 0.000 0.00024 1.43 69.885 24 69.885 0.000 0.000 0.000 0.000 0.00025 1.38 69.891 25 69.891 0.000 0.000 0.000 0.000 0.00026 1.32 69.897 26 69.897 0.000 0.000 0.000 0.000 0.00027 1.27 69.903 27 69.903 0.000 0.000 0.000 0.000 0.00028 1.21 69.910 28 69.910 0.000 0.000 0.000 0.000 0.00029 1.16 69.916 29 69.916 0.000 0.000 0.000 0.000 0.00030 1.10 69.922 30 69.922 0.000 0.000 0.000 0.000 0.00031 1.05 69.929 31 69.929 0.000 0.000 0.000 0.000 0.00032 0.99 69.935 32 69.935 0.000 0.000 0.000 0.000 0.00033 0.94 69.941 33 69.941 0.000 0.000 0.000 0.000 0.00034 0.88 69.947 34 69.947 0.000 0.000 0.000 0.000 0.00035 0.83 69.954 35 69.954 0.000 0.000 0.000 0.000 0.00036 0.77 69.960 36 69.960 0.000 0.000 0.000 0.000 0.00037 0.71 69.966 37 69.966 0.000 0.000 0.000 0.000 0.00038 0.66 69.973 38 69.973 0.000 0.000 0.000 0.000 0.00039 0.61 69.979 39 69.979 0.000 0.000 0.000 0.000 0.00040 0.55 69.985 40 69.985 0.000 0.000 0.000 0.000 0.00041 0.50 69.991 41 69.991 0.000 0.000 0.000 0.000 0.00042 0.44 69.998 42 69.998 0.000 0.000 0.000 0.000 0.00043 0.38 70.004 43 70.004 0.000 0.000 0.000 0.000 0.00044 0.33 70.010 44 70.010 0.000 0.000 0.000 0.000 0.00045 0.27 70.017 45 70.017 0.000 0.000 0.000 0.000 0.00046 0.22 70.023 46 70.023 0.000 0.000 0.000 0.000 0.00047 0.17 70.029 47 70.029 0.000 0.000 0.000 0.000 0.00048 0.11 70.035 48 70.035 0.000 0.000 0.000 0.000 0.00049 0.06 70.042 49 70.042 0.000 0.000 0.000 0.000 0.00050 0.00 70.0479 50 70.048 0.000 0.000 0.000 0.000 0.000
69.089 43.517 69.089
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
0.00
50.00
100.00
BEARING PRESSURE DI-AGRAM
M
KN
/M^
2
2.75
2.37
1.98
1.60
1.21
0.83
0.44
0.06
50
100
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' on CD © 1999 BCA for RCC
YY= 2.8 MTE= 24.39MTLG= 13.07MTLQ= 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 0.459 0.50 1.8628 0.50
10 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 2.1840 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 4002750 4002750 0
0 00 00 00 00 0
3200 2750
0.00
0.11
0.22
0.34
0.45
0.56
0.67
0.78
0.90
1.01
1.12
1.23
1.34
1.46
1.57
1.68
1.79
1.90
2.02
2.13
2.24
2.35
2.46
2.58
2.69
2.80
0 20 40 60 80 100 120MOMENT 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 12-Apr-23
0.055 3.8350.055 3.8360.055 3.8360.055 3.8360.055 3.8370.055 3.8370.055 3.8370.055 3.8380.055 3.8380.055 3.8380.055 3.8390.055 3.8390.055 3.8400.055 3.8400.055 3.8400.055 3.8410.055 3.8410.055 3.8410.055 3.8420.055 3.8420.055 3.8420.055 3.843
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 0.000
84.458
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 12-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' on CD © 1999 BCA for RCC Date 12-Apr-23
WALLMR= 15.06 MIN SPACING= 220 ASreq = 1444 fs = 275.31Asprov%= 0.8378
As/bd= 0.008 MSBB= 762 ASBBreq 0.01 fs = 0.0054Asprov%= 0.1644X= 75.21 MSBT= 766 ASBTreq 631.76 fs = 144.54Asprov%= 0.3919Ic= 472134280
STS= 0.0014ST1= 0.0020ST2= 0.0004066Acr= 77.265761
W= 0.29
0.0016
MR= 15.06 MR= 15.06AsBB/bd= 0.0016 AsBB/bd= 0.0039
X= 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
-0.0008 0.0002
em=
em= em=
Notes
Page 10
Disclaimer
Status of spreadsheet
Public release version.
Date Version Action
06-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 'Spreadsheets for concrete design to BS 8110 and EC2' available from British Cement Association, Telford Avenue, Crowthorne, Berkshire RG45 6YS.
Revision history RCC62 Retaining Wall.xls
First public release. Includes b version comments
Notes
Page 11
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 possession of the latest version.
This spreadsheet should be used in compliance with the accompanying publication 'Spreadsheets for concrete design to BS available from British Cement Association, Telford Avenue, Crowthorne, Berkshire RG45 6YS.
Size (kB)