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CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN
Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 243
SECTION 18: BASEMENT RETAINING WALL DESIGN
1. Determine the thickness and necessary reinforcement for the basement retaining wall
shown in Figure below.
GIVEN:
• oncrete Compressive Strength: '
cf 25MPa=
• Steel Yield Strength: yf 390MPa=
• Unit Weight of Reinforced Concrete: c 3
kN
24
m
 =
• Height of Basement Wall: wh 3m=
• Soil Density (Backfill): s 3
kN
18
m
 =
• Water Density: w 3
kN
10
m
 =
• Traffic/Parking Load Surcharge: s 2
kN
w 2.4
m
=
• Internal Friction Angle of Soil: 30 = 
• Concrete/Clear Cover: cv 40mm=
• Vertical Rebar Diameter: s 12mm =
• Horizontal Rebar Diameter: h 12mm =
A
B
Ha
Ps
hw/2
SURCHARGE
Hs
hw/3
Pa
hw
CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN
Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 244
SOLUTION
❖ Step 1: Given Data
• Concrete compressive strength: '
cf 25MPa=
• Steel Yield Strength: yf 390MPa=
• Unit Weight of Reinforced Concrete: c 3
kN
24
m
 =
• Height of Basement Wall: wh 3m=
• Soil Density (Backfill): s 3
kN
18
m
 =
• Water Density: w 3
kN
10
m
 =
• Traffic/Parking Load Surcharge: s 2
kN
w 2.4
m
=
• Internal Friction Angle of Soil: 30 = 
• Concrete/Clear Cover: cv 40mm=
❖ Step 2: Determine The Thickness of the Wall
• Thickness of Wall:
w
w
h 3000mm
t max ,100mm max ,190mm 190mm 200mm
25 25
   
= = = =  
  
CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN
Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 245
❖ Step 3: Load on Basement Wall
• Earth Pressure & Concentrated Load:
a a soil w
a
a 3
P C h b
1 Sin 1 Sin30
C 0.333333
1 Sin 1 Sin30
kN kN
P 0.3333 18 3m 1m 18
mm
= 
−  − 
= = =
+  + 
=    =
a w
a
kN
18 3mP h mH 27kN
2 2

= = =
• Water Pressure & Concentrated Load (In Case Soil is wet: 50%):
w w w
w 3
w w
w
P 50% h b
kN kN
P 50% 10 3m 1m 15
mm
kN
15 3mP h mH 22.5kN
2 2
= 
=    =

= = =
• Effect of Surcharge Load & Concentrated Load:
2
s
s
s
3
s a s s 3
s s w
kN
2.4
w mh 0.13333m
kN
18
m
kN kN
P C h b 0.333333 18 0.133333m 1m 0.8
mm
kN
H P h 0.8 3m 2.4kN
m
= = =

=  =    =
=  =  =
A A
B B
A
B
RA
RB
M
u.positive
M
u.negative
Pw
Hw
Pa
Ha
Ps
hw
Hs
B
A
x
CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN
Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 246
❖ Step 4: Calculate Bending Moment & Shear Force
( )
( )
w w
u.neg a w s
u.neg
h h
M 1.6 H H 1.6H
7.5 8
3m 3m
M 1.6 27kN 22.5kN 1.6 2.4kN 33.12kN.m
7.5 8
= + +
= + +   =
( )
( )
( ) ( )
( ) ( )
a w w s w
u.neg
B
w
B
A a w s B
u A B
H H h H h
1.6 M
3 2
R
h
27kN 22.5kN 3m 2.4kN 3m
1.6 33.12kN.m
3 2
R 17.28kN
3m
R 1.6 H H H R 1.6 27kN 22.5kN 2.4kN 17.28kN 65.76kN
V max R ,R max 17.28kN,65.76kN 65.76kN
 +
+ − 
 =
 +  
+ − 
 = =
= + + − = + + − =
= = =
( )
( )
( ) ( )
2a w
s B
w
2
3
2s a w
u.pos B
w
2
u.pos
P P
1.6 x 1.6P x R 0
2h
18kN / m 15kN / m
1.6 x 1.6 0.8kN / m x 17.28kN 0
2 3m
x 1.33045m
P P P x
M R x 1.6 x 1.6
2 2h 3
0.8kN / m
17.18kN 1.33045m 1.6 1.33045m
2
M
18kN / m 15k
1.6
 +
+ − = 
 
+ 
+  − =  
=
  +
= − − + +  
  
−  +
= −
+
+
( )3 14.94kN.m
1.33045mN / m
2 3m 3
 
 
  =
  
    
CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN
Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 247
➢ Using CSI Etabs 2018, we get the results as following
Bending Moment Diagram Shear Force Diagram
➢ Using Robot Structural Analysis Professional 2020, we get the results as following
Surcharge Load: (Ps)
Water Pressure: (Pw)
Soil Pressure(Backfill): (Pa)
CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN
Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 248
Bending Moment Diagram
Shear Force Diagram
CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN
Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 249
❖ Step 5: Calculate Required Reinforcement
➢ Case: Negative Bending Moment u.negM 33.12kNm=
• Calculate b max min, , ,   
( )'
1 c
'
c
b 1
y y
y
5
s
max b
0.85 17MPa f 25MPa 28MPa
f 600 25MPa 600MPa
0.85 0.85 0.85 0.028
f 600 f 390MPa 600MPa 390MPa
f 3900.003 0.003
E 2 10 0.028 0.
0.008 0.008
 =  = 
     
 =  =   =       + +    
   + +     =  = = 
        
( )min s y
2
v.min min w
0174
0.0015 10mm 16mm and f 390MPa 420MPa
A bt 0.0015 1000mm 200mm 300mm
 =  =  = 
=  =   =
( )
s
6
u.neg
u 2 2
'
c u
'
y c
12mm
d h cv 200mm 40mm 154mm
2 2
M 33.12 10 Nmm
R 1.3965MPa
bd 1000mm 154mm
f 2R 25MPa 2 1.3965MPa
0.85 1 1 0.85 1 1 0.0041355
f 390MPa 0.85 25MPa 0.90.85f
0.0041

= − − = − − =

= = =

     
 = − − = − − =               
 =
( ) ( )
max
2
s
2 2 2
s.use s v.min
355 0.0174
A bd 0.0041355 1000mm 154mm 636.867mm
A max A ,A max 636.867mm ,300mm 636.867mm
  =
=  =   =
= = =
CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN
Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 250
( )
( ) ( )
( )
2
s
s 2
s1
s
max w
use max
A 636.867mm
n 5.631 6
A 12mm
4
b 1000mm
s 166.66mm 160mm
n 6
s min 3t ,450mm min 3 200mm,450mm 450mm
s min s,s 160mm
= = = 

= = = =
= =  =
= =
➢ Case: Positive Bending Moment u.posM 14.94kN.m=
• Calculate b max min, , ,   
( )
max
min s y
2
v.min min w
0.0174
0.0015 10mm 16mm and f 390MPa 420MPa
A bt 0.0015 1000mm 200mm 300mm
 =
 =  =  = 
=  =   =
( )
s
6
u.neg
u 2 2
'
c u
'
y c
12mm
d h cv 200mm 20mm 174mm
2 2
M 14.94 10 Nmm
R 0.4934MPa
bd 1000mm 174mm
f 2R 25MPa 2 0.4934MPa
0.85 1 1 0.85 1 1 0.0014243
f 390MPa 0.85 25MPa 0.90.85f

= − − = − − =

= = =

     
 = − − = − − =               
( ) ( )
( )
( )
max
2
s
2 2 2
s.use s v.min
2
s.use
s 2
s1
s
max w
0.0014243 0.0174
A bd 0.0014243 1000mm 174mm 247.83mm
A max A ,A max 247.83mm ,300mm 300mm
A 300mm
n 2.6525 3
A 12mm
4
b 1000mm
s 333.33mm 330mm
n 3
s min 3t ,450mm min 3 200mm,
 =   =
=  =   =
= = =
= = = 

= = = =
= = ( )
( )use max
450mm 450mm
s min s,s 330mm
=
= =
CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN
Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 251
❖ Step6: Determine Shear Force & Check Shear Capacity (Section Adequacy)
• Shear Force
uV 65.76kN=
• Check Shear Capacity
' 3
c c
c u
1 1
V f bd 0.75 1 25MPa 1000mm 155mm 10 96.875kN
6 6
V 96.875kN V 65.76kN (OK)
−
 =   =       =
 =  =
Wall Thickness is Sufficient to Resist Shear Force. Shear Reinforcement is not required.
❖ Step7: Determine the Minimum Distributed Horizontal Reinforcement
( )
( )
( ) ( )
( )
min s y
2
h.min min w
2
h.min
s 2
s1
s
max w
use max
0.0025 10mm 16mm and f 390MPa 420MPa
A bt 0.0025 1000mm 200mm 500mm
A 500mm
n 4.42 5
A 10mm
4
b 1000mm
s 200mm
n 5
s min 3t ,450mm min 3 200mm,450mm 450mm
s min s,s 200mm
 =  =  = 
=  =   =
= = = 

= = =
= =  =
= =
CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN
Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 252
Summary Result
Direction Location Bending Moment Diameter of
Rebar
Spacing of
Rebar
Vertical
Exterior Face u.negM 33.12kNm= 12mm 160mm
Interior Face u.posM 14.94kN.m= 12mm 330mm
Horizontal Both Side - 12mm 200mm
1000
DB12@160
BASEMENT WALL REINFORCEMENT DETAIL
SCALE: 1/50
3000
DB12@200
DB12@160
DB12@330

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Basement wall design

  • 1. CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 243 SECTION 18: BASEMENT RETAINING WALL DESIGN 1. Determine the thickness and necessary reinforcement for the basement retaining wall shown in Figure below. GIVEN: • oncrete Compressive Strength: ' cf 25MPa= • Steel Yield Strength: yf 390MPa= • Unit Weight of Reinforced Concrete: c 3 kN 24 m  = • Height of Basement Wall: wh 3m= • Soil Density (Backfill): s 3 kN 18 m  = • Water Density: w 3 kN 10 m  = • Traffic/Parking Load Surcharge: s 2 kN w 2.4 m = • Internal Friction Angle of Soil: 30 =  • Concrete/Clear Cover: cv 40mm= • Vertical Rebar Diameter: s 12mm = • Horizontal Rebar Diameter: h 12mm = A B Ha Ps hw/2 SURCHARGE Hs hw/3 Pa hw
  • 2. CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 244 SOLUTION ❖ Step 1: Given Data • Concrete compressive strength: ' cf 25MPa= • Steel Yield Strength: yf 390MPa= • Unit Weight of Reinforced Concrete: c 3 kN 24 m  = • Height of Basement Wall: wh 3m= • Soil Density (Backfill): s 3 kN 18 m  = • Water Density: w 3 kN 10 m  = • Traffic/Parking Load Surcharge: s 2 kN w 2.4 m = • Internal Friction Angle of Soil: 30 =  • Concrete/Clear Cover: cv 40mm= ❖ Step 2: Determine The Thickness of the Wall • Thickness of Wall: w w h 3000mm t max ,100mm max ,190mm 190mm 200mm 25 25     = = = =     
  • 3. CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 245 ❖ Step 3: Load on Basement Wall • Earth Pressure & Concentrated Load: a a soil w a a 3 P C h b 1 Sin 1 Sin30 C 0.333333 1 Sin 1 Sin30 kN kN P 0.3333 18 3m 1m 18 mm =  −  −  = = = +  +  =    = a w a kN 18 3mP h mH 27kN 2 2  = = = • Water Pressure & Concentrated Load (In Case Soil is wet: 50%): w w w w 3 w w w P 50% h b kN kN P 50% 10 3m 1m 15 mm kN 15 3mP h mH 22.5kN 2 2 =  =    =  = = = • Effect of Surcharge Load & Concentrated Load: 2 s s s 3 s a s s 3 s s w kN 2.4 w mh 0.13333m kN 18 m kN kN P C h b 0.333333 18 0.133333m 1m 0.8 mm kN H P h 0.8 3m 2.4kN m = = =  =  =    = =  =  = A A B B A B RA RB M u.positive M u.negative Pw Hw Pa Ha Ps hw Hs B A x
  • 4. CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 246 ❖ Step 4: Calculate Bending Moment & Shear Force ( ) ( ) w w u.neg a w s u.neg h h M 1.6 H H 1.6H 7.5 8 3m 3m M 1.6 27kN 22.5kN 1.6 2.4kN 33.12kN.m 7.5 8 = + + = + +   = ( ) ( ) ( ) ( ) ( ) ( ) a w w s w u.neg B w B A a w s B u A B H H h H h 1.6 M 3 2 R h 27kN 22.5kN 3m 2.4kN 3m 1.6 33.12kN.m 3 2 R 17.28kN 3m R 1.6 H H H R 1.6 27kN 22.5kN 2.4kN 17.28kN 65.76kN V max R ,R max 17.28kN,65.76kN 65.76kN  + + −   =  +   + −   = = = + + − = + + − = = = = ( ) ( ) ( ) ( ) 2a w s B w 2 3 2s a w u.pos B w 2 u.pos P P 1.6 x 1.6P x R 0 2h 18kN / m 15kN / m 1.6 x 1.6 0.8kN / m x 17.28kN 0 2 3m x 1.33045m P P P x M R x 1.6 x 1.6 2 2h 3 0.8kN / m 17.18kN 1.33045m 1.6 1.33045m 2 M 18kN / m 15k 1.6  + + − =    +  +  − =   =   + = − − + +      −  + = − + + ( )3 14.94kN.m 1.33045mN / m 2 3m 3       =        
  • 5. CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 247 ➢ Using CSI Etabs 2018, we get the results as following Bending Moment Diagram Shear Force Diagram ➢ Using Robot Structural Analysis Professional 2020, we get the results as following Surcharge Load: (Ps) Water Pressure: (Pw) Soil Pressure(Backfill): (Pa)
  • 6. CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 248 Bending Moment Diagram Shear Force Diagram
  • 7. CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 249 ❖ Step 5: Calculate Required Reinforcement ➢ Case: Negative Bending Moment u.negM 33.12kNm= • Calculate b max min, , ,    ( )' 1 c ' c b 1 y y y 5 s max b 0.85 17MPa f 25MPa 28MPa f 600 25MPa 600MPa 0.85 0.85 0.85 0.028 f 600 f 390MPa 600MPa 390MPa f 3900.003 0.003 E 2 10 0.028 0. 0.008 0.008  =  =         =  =   =       + +        + +     =  = =           ( )min s y 2 v.min min w 0174 0.0015 10mm 16mm and f 390MPa 420MPa A bt 0.0015 1000mm 200mm 300mm  =  =  =  =  =   = ( ) s 6 u.neg u 2 2 ' c u ' y c 12mm d h cv 200mm 40mm 154mm 2 2 M 33.12 10 Nmm R 1.3965MPa bd 1000mm 154mm f 2R 25MPa 2 1.3965MPa 0.85 1 1 0.85 1 1 0.0041355 f 390MPa 0.85 25MPa 0.90.85f 0.0041  = − − = − − =  = = =         = − − = − − =                 = ( ) ( ) max 2 s 2 2 2 s.use s v.min 355 0.0174 A bd 0.0041355 1000mm 154mm 636.867mm A max A ,A max 636.867mm ,300mm 636.867mm   = =  =   = = = =
  • 8. CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 250 ( ) ( ) ( ) ( ) 2 s s 2 s1 s max w use max A 636.867mm n 5.631 6 A 12mm 4 b 1000mm s 166.66mm 160mm n 6 s min 3t ,450mm min 3 200mm,450mm 450mm s min s,s 160mm = = =   = = = = = =  = = = ➢ Case: Positive Bending Moment u.posM 14.94kN.m= • Calculate b max min, , ,    ( ) max min s y 2 v.min min w 0.0174 0.0015 10mm 16mm and f 390MPa 420MPa A bt 0.0015 1000mm 200mm 300mm  =  =  =  =  =  =   = ( ) s 6 u.neg u 2 2 ' c u ' y c 12mm d h cv 200mm 20mm 174mm 2 2 M 14.94 10 Nmm R 0.4934MPa bd 1000mm 174mm f 2R 25MPa 2 0.4934MPa 0.85 1 1 0.85 1 1 0.0014243 f 390MPa 0.85 25MPa 0.90.85f  = − − = − − =  = = =         = − − = − − =                ( ) ( ) ( ) ( ) max 2 s 2 2 2 s.use s v.min 2 s.use s 2 s1 s max w 0.0014243 0.0174 A bd 0.0014243 1000mm 174mm 247.83mm A max A ,A max 247.83mm ,300mm 300mm A 300mm n 2.6525 3 A 12mm 4 b 1000mm s 333.33mm 330mm n 3 s min 3t ,450mm min 3 200mm,  =   = =  =   = = = = = = =   = = = = = = ( ) ( )use max 450mm 450mm s min s,s 330mm = = =
  • 9. CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 251 ❖ Step6: Determine Shear Force & Check Shear Capacity (Section Adequacy) • Shear Force uV 65.76kN= • Check Shear Capacity ' 3 c c c u 1 1 V f bd 0.75 1 25MPa 1000mm 155mm 10 96.875kN 6 6 V 96.875kN V 65.76kN (OK) −  =   =       =  =  = Wall Thickness is Sufficient to Resist Shear Force. Shear Reinforcement is not required. ❖ Step7: Determine the Minimum Distributed Horizontal Reinforcement ( ) ( ) ( ) ( ) ( ) min s y 2 h.min min w 2 h.min s 2 s1 s max w use max 0.0025 10mm 16mm and f 390MPa 420MPa A bt 0.0025 1000mm 200mm 500mm A 500mm n 4.42 5 A 10mm 4 b 1000mm s 200mm n 5 s min 3t ,450mm min 3 200mm,450mm 450mm s min s,s 200mm  =  =  =  =  =   = = = =   = = = = =  = = =
  • 10. CIVIL ENGINEERING TRAINING CENTER (BIM-CETC) RC DESIGN Prepared By: Mr. SENG PHEARAK (M.ENG, S.E) PAGE: 252 Summary Result Direction Location Bending Moment Diameter of Rebar Spacing of Rebar Vertical Exterior Face u.negM 33.12kNm= 12mm 160mm Interior Face u.posM 14.94kN.m= 12mm 330mm Horizontal Both Side - 12mm 200mm 1000 DB12@160 BASEMENT WALL REINFORCEMENT DETAIL SCALE: 1/50 3000 DB12@200 DB12@160 DB12@330