Retaining Wall Rcc62

Project

Spreadsheets to BS 8110etc

Client

Advisory Group

Location

Grid line 1

REINFORCED CONCRETE COUNCIL Made by

Date

rc

RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etcChecked Originated from 'RCC62.xls' on CD

Page

28-Mar-2017

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

T W

H n

H P

T b

L W

L E

H W

L S

L L

H

W A T E R

B 1

L P

B N

T N B

DIMENSIONS (mm) H= 3200 Hw = 100 Hp = 200 Hn = 0 MATERIAL PROPERTIES fcu = 35 fy = 460

B= BI = BN =

2750 1000 0

Tw = Tb = TN =

m = N/mm² m = N/mm² 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)

Force

PE PS(GK) PS(QK) PL(GK) PL(QK)

= = = = =

PW = Total PP =

(kN) 34.12 10.67 10.67 6.67 5.00 0.05

Ka Kp Kpc Kac Lever arm

LE LS LS LL LL

(m) = 1.067 = 1.60 = 1.60 = 2.36 = 2.36

LW = 0.03

67.17

-6.12

1.5 1.05 50 0.3 24

250 400 0

concrete steel mm mm kN/m³ Wall Geometry

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

[ [ [ [

kN/m kN/m mm

(Only granular backfil considered, "C" = zero) [default=2/3*q (only apply when 13.33 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

default ka = (1-SIN Ø)/(1+SIN Ø)0.33 default kp = (1+SIN Øb)/(1-SIN Ø2.04 default kpc = 2kp0.5 ] = 2.86 2ka0.5 ]

Moment about TOE

f

(kNm) 36.41 17.07 17.07 15.74 11.80

1.40 1.40 1.60 1.40 1.60

0.00

1.40

98.09

(LP-HN) = 0.10

-0.60

1.00

Fult

Mult

(kN) 47.77 14.93 17.07 9.33 8.00

(kNm) 50.97 23.89 27.31 22.03 18.89

0.07

0.00

97.17

143.10

-6.12

-0.60

Project

Spreadsheets to BS 8110etc

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Location

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REINFORCED CONCRETE COUNCIL Made by

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RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004: Checked Originated from 'RCC62.xls' on CD

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

-6.12

Vertical FORCE (kN)

Wall = Base = Nib = Earth = Water = Surcharge = Line load =  V =

Moments

(LP-HN) = 0.10

Lever arm (m)

16.80 26.40 0.00 84.00 0.00 30.00 35.00

-0.60 = 97.48

-

R68 OK

F.O.S = 1.50 LOADING OPTION (select critical load combination) EARTH ✘

PS(GK)

✘ ✘

PS(QK) PL(GK)

✘

PL(QK)

✘

PW

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

PASSIVE FORCE, Pp x Reduction factor (1) = BASE FRICTION (  V TANØb + B Cb ) = Sum of FORCES RESISTING SLIDING, Pr =

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.

18.90 36.30 0.00 168.00 0.00 60.00 78.75  Mr = 361.95

192.20

Sum of LATERAL FORCES, P =

Warning:

Moment (kNm)

1.13 1.38 0.00 2.00 2.00 2.00 2.25

Factor of Safety, Mr / Mo = SLIDING

102 Job No

67.17  Mo

Restoring

28-Mar-2017 Revision

STABILITY CHECKS :

OVERTURNING about TOE (using overall factor of safety instead of partial safety factor) Lateral FORCE (kN)

Page

chg

© 1999 BCA for RCC

EXTERNAL STABILITY

Overturning Moments

Date

67.17

3.71 F.O.S =

> 1.50

OK

1.50

kN Red'n factor for passive force = 1.00

-6.12 -97.46

kN 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)

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

Moment (kNm)

BEARING PRESSURE (KN/m²)

4.20 0.00 0.00 -52.50 0.00 -18.75 -30.63 Mv = -97.68

50.000

Moment due to LATERAL FORCES, Mo =

97.48

kNm

Resultant Moment, M = Mv + Mo =

-0.20

kNm

0.00 70

m kN/m²

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

100.000

< 200

OK

Project

Spreadsheets to BS 8110etc

Client

Advisory Group

Location

Grid line 1

REINFORCED CONCRETE COUNCIL Made by

rc

RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:Checked Originated from 'RCC62.xls' on CD

Date

Page

28-Mar-2017 Revision

chg

© 1999 BCA for RCC

Job No

-

R68

OUTER BASE ( per metre length ) f =

V ult = M ult =

1.46 86.79 53.64

104

BS8110

(default = ult mt / non-factored m1.46 kN kNm (TENSION - BOTTOM FACE) Min. As =

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

BOTTOM REINFORCEMENT :

=

centres = Asprov = MOMENT of RESISTANCE :

SHEAR RESISTANCE:

reference

Table 3.25

< 762 > 520

OK

3.12.11.2.7(b)

OK

3.4.4.4

Table 3.8 3.5.5.2

CHECK CRACK WIDTH IN ACCORDANCE WITH BS8007 :

X= Acr =

68.49 108.61

m = -0.000762

mm mm

W=

-0.18

BS8007

mm

< 0.30

OK

App. B.2

INNER BASE ( per metre length ) V ult = M ult =

81.20 89.46

kN kNm

(TENSION - TOP FACE) Min. As = = centres = Asprov =

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

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

3.4.4.4

Table 3.8

(Temperature and shrinkage effects not included) m = 0.000222 W= 0.05 mm < 0.30 OK

REINFORCEMENT SUMMARY for BASE

TOP (DESIGN) BOTTOM (DESIGN) TRANSVERSE

Type



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 OK

3.5.5.2

BS8007 App. B.2

Project

Spreadsheets to BS 8110etc

Client

Advisory Group

Location

Grid line 1

REINFORCED CONCRETE COUNCIL Made by

rc

RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004: Checked Originated from 'RCC62.xls' on CD

Date

Page

28-Mar-2017 Revision

chg

© 1999 BCA for RCC

-

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 Job No

169.5

Diagrams

Project Location

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

Job No R

© 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)))))

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)* (6*ECCY)/(B/1000))))) 2.75

KN/M^2

KN/M^2

1 70.05 0 70.05 3 BEARING PRESSURE DIAGRAM 0.275 70.05 3 0.55 70.05 3 0.825 70.05 3 0 0.5 1 1.5 2 2.5 3 1.1 70.05 3 0 1.375 70.05 3 1.65 70.05 3 50 1.925 70.05 3 2.2 70.05 3 2.475 70.05 3 M 100 2.75 70.05 3 2.75 0.00 0 IF(ECCY