Project
Spreadsheets to BS 8110etc
Client
Advisory Group Grid line 1
Location
REINFORCED CONCRETE COUNCIL Made by
Date
rc
RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etc. Checked Originated from 'RCC62.xls' on CD
Page
03-Sep-2013
chg
© 1999 BCA for RCC
101
Revision
Job No
-
IDEALISED STRUCTURE and FORCE DIAGRAMS
R68
DESIGN STATUS:
VALID
L in e L o a d L G K , L Q K in k N / m
WARNING : Passive pressure should only be considered if it can be guaranteed that there will be no future excavation in front of the wall.
X S u r c h a r g e S G K , S Q K in k N / m
2
TW H
W A TE R
L P
H n
H P
T b
L W
L E
H W
L S
L L
B 1
B N
DIMENSIONS (mm) H= 3200 B= 2750 Hw = 100 BI = 1000 Hp = 200 BN = 0 Hn = 0 MATERIAL PROPERTIES N/mm² gm = fcu = 35 N/mm² gm = fy = 460 cover to tension steel = Max allowable design surface crack width (W) = Concrete density = SOIL PROPERTIES Design angle of int'l friction of retained mat'l (Ø) = Design cohesion of retained mat'l (C ) = Density of retained mat'l (q ) = Submerged Density of retained mat'l (qs ) = Design angle of int'l friction of base mat'l (Øb) = Design cohesion of base material (Cb ) = Density of base material (qb ) = Allowable gross ground bearing pressure (GBP) = LOADINGS
Surcharge load -- live (SQK) = Surcharge load -- dead (SGK) = Line load -- live (LQK) = Line load -- dead (LGK) = Distance of line load from wall (X) =
LATERAL FORCES (unfactored)
PE = PS(GK) = PS(QK) = PL(GK) = PL(QK) = PW = Total PP =
Ka = Kp = Kpc = Kac =
TN B
Tw = Tb = TN =
250 400 0
1.5 1.05 50 0.3 24
concrete steel mm mm kN/m³
30 0 20 13.33 20 10 10 200
degree kN/m² kN/m³ kN/m³ degree kN/m² kN/m³ kN/m²
10 10 15 20 1000
kN/m²
0.33 2.04 2.86 1.15
[ default ka = (1-SIN Ø)/(1+SIN Ø)0.33 ] = [ default kp = (1+SIN Øb)/(1-SIN Øb) 2.04] = [ default kpc = 2kp0.5 ] = 2.86 [ 2ka0.5 ]
Wall Geometry
kN/m kN/m mm
(Only granular backfil considered, "C" = zero) [default=2/3*q (only apply when Hw 13.33 >0) ] = ASSUMPTIONS
a) Wall friction is zero b) Minimum active earth pressure = 0.25qH c) Granular backfill d)Does not include check of rotational slide/slope failure e)Does not include effect of seepage of ground water beneath the wall. f)Does not include deflection check of wall due to lateral earth pressures h) Design not intended for walls over 3.0 m high
Force
Lever arm
Moment about TOE
gf
Fult
Mult
(kN) 34.12 10.67 10.67 6.67 5.00
(m) LE = 1.067 LS = 1.60 LS = 1.60 LL = 2.36 LL = 2.36
(kNm) 36.41 17.07 17.07 15.74 11.80
1.40 1.40 1.60 1.40 1.60
(kN) 47.77 14.93 17.07 9.33 8.00
(kNm) 50.97 23.89 27.31 22.03 18.89
0.00
1.40
0.05
LW = 0.03
67.17
-6.12
98.09
(LP-HN) = 0.10
-0.60
1.00
0.07
0.00
97.17
143.10
-6.12
-0.60
Project
Spreadsheets to BS 8110etc
Client
Advisory Group Grid line 1
Location
REINFORCED CONCRETE COUNCIL Made by
Date
rc
Page
03-Sep-2013
RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 Checked etc. Revision Originated from 'RCC62.xls' on CD
chg
© 1999 BCA for RCC
EXTERNAL STABILITY OVERTURNING about TOE (using overall factor of safety instead of partial safety factor) Overturning Moments
Lateral FORCE (kN)
PE = PS(GK) = PS(QK) = PL(GK) = PL(QK) = PW = P = Pp =
34.12 10.67 10.67 6.67 5.00 0.05
Lever arm (m)
LE = LS = LS = LL = LL = LW =
Moment (kNm)
1.07 1.60 1.60 2.36 2.36 0.03
36.40 17.07 17.07 15.74 11.80 0.00
-
R68
STABILITY CHECKS :
OK
F.O.S = 1.50 LOADING OPTION (select critical load combination) üEARTH PS(GK) PS(QK) PL(GK)
PL(QK) PW
67.17
-6.12
(LP-HN) = 0.10
-0.60
Warning:
Mo = 97.48
Restoring Moments
Vertical FORCE (kN)
Wall = Base = Nib = Earth = Water = Surcharge = Line load = V =
Lever arm (m)
Moment (kNm)
1.13 1.38 0.00 2.00 2.00 2.00 2.25
18.90 36.30 0.00 168.00 0.00 60.00 78.75 Mr = 361.95
16.80 26.40 0.00 84.00 0.00 30.00 35.00 192.20
Factor of Safety, Mr / Mo = SLIDING
102 Job No
(using overall factor of safety instead of partial safety factor) Sum of LATERAL FORCES, P =
67.17
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.
3.71
> 1.50
F.O.S =
1.50
OK
kN Red'n factor for passive force = 1.00
PASSIVE FORCE, Pp x Reduction factor (1) = -6.12 kN BASE FRICTION ( V TANØb + B Cb ) = -97.46 kN Sum of FORCES RESISTING SLIDING, Pr = -103.58 kN
Factor of Safety, Pr / P =
1.54
> 1.50
OK
Taking moments about centre of base (anticlockwise "+") : GROUND BEARING FAILURE Vertical FORCES (kN) Lever arm (m)
Wall = Base = Nib = Earth = Water = Surcharge= Line load = V =
16.80 26.40 0.00 84.00 0.00 30.00 35.00 192.20
0.25 0.00 1.38 -0.63 -0.63 -0.63 -0.88
BEARING PRESSURE (KN/m²)
Moment (kNm)
2.75 50
4.20 0.00 0.00 -52.50 0.00 -18.75 -30.63 Mv = -97.68
Moment due to LATERAL FORCES, Mo =
97.48
kNm
Resultant Moment, M = Mv + Mo =
-0.20
kNm
Eccentricity from base centre, M / V = Therefore, MAXIMUM Gross Bearing Pressure (GRP) =
0.00 70
m kN/m²
0.00
100
< 200
OK
Project
Spreadsheets to BS 8110etc
Client
Advisory Group Grid line 1
Location
REINFORCED CONCRETE COUNCIL Made by
rc
Date
Page
03-Sep-2013
RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 Checked etc. Revision Originated from 'RCC62.xls' on CD
chg
© 1999 BCA for RCC
-
R68
OUTER BASE ( per metre length ) gf = V ult = M ult =
1.46 86.79 53.64
BS8110
(default = ult mt / non-factored mt.1.46 )= kN kNm (TENSION - BOTTOM FACE)
BOTTOM REINFORCEMENT :
reference
520 12 200 565
mm2 mm mm mm2
d= z= As' = Mres =
344 326.80 0 80.96
mm mm mm2 kNm
> 53.64
OK
100 As/bd = vc = Vres =
0.16% 0.40 138.35
N/mm2 kN
> 86.79
OK
3.5.5.2
mm
< 0.30
OK
App. B.2
Min. As =
f=
centres = Asprov = MOMENT of RESISTANCE :
SHEAR RESISTANCE:
104 Job No
Table 3.25
< 762 > 520
OK OK
3.12.11.2.7(b)
3.4.4.4
Table 3.8
CHECK CRACK WIDTH IN ACCORDANCE WITH BS8007 :
X= Acr =
68.49 108.61
em = -0.00076
mm mm
W=
-0.18
BS8007
INNER BASE ( per metre length ) V ult = M ult =
81.20 89.46
kN kNm
(TENSION - TOP FACE) 520 16 150 1340
mm2 mm mm mm2
d= z= As' = Mres =
342 323.22 0 189.80
mm mm mm2 kNm
> 89.46
OK
100 As/bd = vc = Vres =
0.39% 0.54 184.02
N/mm2 kN
> 81.20
OK
Min. As = f= centres = Asprov =
TOP REINFORCEMENT :
MOMENT RESISTANCE :
SHEAR RESISTANCE:
CHECK CRACK WIDTH wrt BS8007 :
X= Acr =
99.03 86.81
mm mm
Table 3.25
< 766 > 520
OK OK
3.4.4.4
Table 3.8
(Temperature and shrinkage effects not included) em = 0.000222 W= 0.05 mm < 0.30 OK
REINFORCEMENT SUMMARY for BASE
TOP (DESIGN) BOTTOM (DESIGN) TRANSVERSE
Type
f
Centers
As
Min. As
T T T
mm 16 12 12
mm 150 200 200
mm2 1340 565 565
mm2 520 520 520
3.12.11.2.7(b)
OK OK OK
3.5.5.2
BS8007 App. B.2
Project
Spreadsheets to BS 8110etc
Client
Advisory Group Grid line 1
Location
REINFORCED CONCRETE COUNCIL Made by
rc
Date
Page
03-Sep-2013
RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 Checked etc. Revision Originated from 'RCC62.xls' on CD
chg
© 1999 BCA for RCC
Job No
-
R68
APPROXIMATE WEIGHT OF REINFORCEMENT No.
Type
Dia
Length
Unit Wt
Weight
WALL
VERTICAL - External face VERTICAL - Internal face TRANSVERSE (Ext.& Int.)
6 9 30
T T T
10 16 10
2880 2928 1000
0.617 1.578 0.617
10.65 41.59 18.50
BASE
TOP (MAIN) BOTTOM (MAIN) TRANSVERSE ( T & B ) WALL STARTERS (Ext.) WALL STARTERS (Int.)
7 6 28 6 9
T T T T T
16 12 12 10 16
2878 2846 1000 1125 1365
1.578 0.888 0.888 0.617 1.578
31.80 15.16 24.86 4.16 19.39
NIB
(assume same reinforcement as wall) INTERNAL FACE (MAIN) 6 EXTERNAL FACE (MAIN) 9 TRANSVERSE (EXT.+ INT.) 2
T T T
10 16 10
80 128 1000
0.617 1.578 0.617
0.30 1.82 1.23
SUMMARY
Approx total reinforcement per metre length of wall (kg)
105
169.5
Project Location
Diagrams
Spreadsheets to BS 8110etc DATA FOR DIAGRAMS I Grid line 1 RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etc.sheet 1 of 2 Originated from 'RCC62.xls' on CD
Made by rc
© 1999 BCA for RCC
Job No R68 Date 3-Sep-13
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)))))
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))))) 2.75
KN/M^2
1 70.05 0 70.05 3 BEARING PRESSURE DIAGRAM 0.275 70.05 3 0.55 70.05 3 M 0.825 70.05 3 0 5 1.1 70.05 3 0.00 1.375 70.05 3 1.65 70.05 3 50.00 1.925 70.05 3 2.2 70.05 3 100.00 2.475 70.05 3 2.75 70.05 3 2.75 0.00 0 IF(ECCY<0,B/1000-B/1000/50*B24,B/1000/50*B24) 69.93 0 2.75 69.734 BEARING PRESSURE DIAGRAM 1 2.70 69.740 2 2.64 69.746 M 3 2.59 69.753 4 2.53 69.759 2.75 0.00 50 5 2.48 69.765 6 2.42 69.772 7 2.37 69.778 8 2.31 69.784 9 2.26 69.790 10 2.20 69.797 11 2.15 69.803 100 12 2.09 69.809 13 2.04 69.816 14 1.98 69.822 15 1.93 69.828 16 1.87 69.834 70.05 17 1.82 69.841 BP 0 70.048 18 1.76 69.847 BPE 1 70.048 19 1.71 69.853 BPI 1.25 70.048 20 1.65 69.860 BPZ 2.75 70.048 21 1.60 69.866 22 1.54 69.872 23 1.49 69.878 24 1.43 69.885 25 1.38 69.891 26 1.32 69.897 27 1.27 69.903 28 1.21 69.910 29 1.16 69.916 30 1.10 69.922 31 1.05 69.929 32 0.99 69.935 33 0.94 69.941 34 0.88 69.947 35 0.83 69.954 36 0.77 69.960 37 0.72 69.966 38 0.66 69.973 39 0.61 69.979 40 0.55 69.985 41 0.50 69.991 42 0.44 69.998 43 0.39 70.004 44 0.33 70.010 45 0.28 70.017 46 0.22 70.023 47 0.17 70.029 48 0.11 70.035 49 0.06 70.042 50 0.00 70.048 KN/M^2
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
Page 5
69.734 69.740 69.746 69.753 69.759 69.765 69.772 69.778 69.784 69.790 69.797 69.803 69.809 69.816 69.822 69.828 69.834 69.841 69.847 69.853 69.860 69.866 69.872 69.878 69.885 69.891 69.897 69.903 69.910 69.916 69.922 69.929 69.935 69.941 69.947 69.954 69.960 69.966 69.973 69.979 69.985 69.991 69.998 70.004 70.010 70.017 70.023 70.029 70.035 70.042 70.048
0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
3.835 4.209 3.836 3.999 3.836 3.788 3.836 3.577 3.837 3.367 3.837 3.156 3.837 2.945 3.838 2.734 3.838 2.524 3.838 2.313 3.839 2.102 3.839 1.891 3.840 1.680 3.840 1.469 3.840 1.258 3.841 1.047 3.841 0.835 3.841 0.624 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 69.089 43.517
0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
3.835 3.836 3.836 3.836 3.837 3.837 3.837 3.838 3.838 3.838 3.839 3.839 3.840 3.840 3.840 3.841 3.841 3.841 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 69.089
0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3.835 3.836 3.836 3.836 3.837 3.837 3.837 3.838 3.838 3.838 3.839 3.839 3.840 3.840 3.840 3.841 3.841 3.841 3.842 3.842 3.842 3.843 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 84.458
Diagrams
Spreadsheets to BS 8110etc DATA FOR DIAGRAMS II Grid line 1 RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etc.sheet 1 of 2 Originated from 'RCC62.xls' on CD
0 400 400 3200 3200 400 400 0 0 0 0 0 0
3200
2750
ULT. MT (KNM)
0
MOMENT DIAGRAM 50 100
150
0.00
0.56
1.12
1.68
2.24
2.80
WALL GEOMETRY 4000
3000
2000
1000
0 4000
0 0 1000 1000 1250 1250 2750 2750 0 0 0 0 0
0.00 0.06 0.11 0.17 0.22 0.28 0.34 0.39 0.45 0.50 0.56 0.62 0.67 0.73 0.78 0.84 0.90 0.95 1.01 1.06 1.12 1.18 1.23 1.29 1.34 1.40 1.46 1.51 1.57 1.62 1.68 1.74 1.79 1.85 1.90 1.96 2.02 2.07 2.13 2.18 2.24 2.30 2.35 2.41 2.46 2.52 2.58 2.63 2.69 2.74 2.80
WALL (M)
UTM= 107.34 107.34 0.00 0 0.06 0.023 0.11 0.092 0.17 0.207 0.22 0.368 0.28 0.5749 0.34 0.8279 0.39 1.1269 0.45 1.4718 0.50 1.8628 0.56 2.2997 0.62 2.7827 0.67 3.3116 0.73 3.8865 0.78 4.5075 0.84 5.1899 0.90 6.8735 0.95 8.6031 1.01 10.379 1.06 12.2 1.12 14.068 1.18 15.981 1.23 17.941 1.29 19.946 1.34 21.998 1.40 24.096 1.46 26.239 1.51 28.471 1.57 30.924 1.62 33.454 1.68 36.063 1.74 38.753 1.79 41.525 1.85 44.38 1.90 47.321 1.96 50.349 2.02 53.466 2.07 56.673 2.13 59.973 2.18 63.365 2.24 66.854 2.30 70.439 2.35 74.122 2.41 77.906 2.46 81.792 2.52 85.781 2.58 89.875 2.63 94.076 2.69 98.386 2.74 102.81 2.80 107.34
3000
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
24.39 13.07 9.80 13.067 13.07 0.00
2000
MTE= MTLG= MTLQ= MTSG= MTSQ= MTW=
0
YY= 2.8
© 1999 BCA for RCC
1000
Location
WALL (mm)
Project
BASE ( mm)
Page 6
Made by rc
Job No R68 Date 3-Sep-13
Project Location
Spreadsheets to BS 8110etc Grid line 1
CRACK WIDTH CALCULATIONS
RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etc. Made
Originated from 'RCC62.xls' on CD
WALL MR= As/bd= X= Ic= STS= ST1= ST2= Acr= W=
em=
MR= AsBB/bd= X= Ic= STS= ST1= ST2= Acr= W=
em=
15.06 MIN SPACING= 0.008 MSBB= 75.21 MSBT= 472134280 0.0014 0.0020 0.0004066 77.265761 0.29 0.0016 15.06 0.0016 68.49 753352434 0.0008 0.0010 0.0017635 108.61239 -0.18 -0.0008
MR= AsBB/bd= X= Ic= STS= ST1= ST2= Acr= W=
em=
© 1999 BCA for RCC
220 762 766
ASreq = 1444 ASBBreq =0.01 ASBTreq 631.76 =
15.06 0.0039 99.03 1.515E+09 0.0007 0.0009 0.0006953 86.810337 0.05 0.0002
Page 7
by rc
Job No R68 Date 3-Sep-13
fs = 275.31Asprov%= 0.8378 fs = 0.0054Asprov%= 0.1644 fs = 144.54Asprov%= 0.3919
Notes
Disclaimer All advice or information from the British Cement Association and/or Reinforced Concrete Council is intended will evaluate the significance and limitations of its contents and take responsibility for its use and application. (including that for negligence) for any loss resulting from such advice or information is accepted by the BCA, subcontractors, suppliers or advisors. Users should note that all BCA software and publications are subject 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 concre 8110 and EC2' available from British Cement Association, Telford Avenue, Crowthorne, Berkshire RG45 6YS 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 b version comments
398
Page 8
Notes
Page 9
Notes
d Concrete Council is intended for those who lity for its use and application. No liability ation is accepted by the BCA, RCC or their and publications are subject to revision from st version.
ation 'Spreadsheets for concrete design to BS owthorne, Berkshire RG45 6YS.
Page 10
