3.3.2-Retaining Wall With Surcharge
of 28
Transcript of 3.3.2-Retaining Wall With Surcharge
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1/72
RW ID : RW1 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
150
18.5
23.
38 4.00
!.58 4.50
"""
0.50
C 0.#0 2.00Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 1.20 """ $ "" = """ 0.55 15.58
$ "" $ "" = 0.! """ $ "" = """ 0.2# 5.
"" $ "" =1.00 """ $ "" = """ 1.55 3.58
"" $ "" =8.00 """ $ "" = """ 1.#0 251.0
!.58 $ "" = 1!.2 1.#0 32.5#
""" 341.!!
= """ %&
= 10.3 %&
= !0 %&(
h)2
h)3
3.80 " #$ %afe again%t o&erturni
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a =
*2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.04! ( = """(
/* ' +++m
= 9)-
-
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3/72
RW ID : RW# 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
150
18.5
23.
38 4.00
!.58 4.50
"""
0.50
C 0.#0 2.00Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 1.20 """ $ "" = """ 0.55 15.58
$ "" $ "" = 0.! """ $ "" = """ 0.2# 5.
"" $ "" =1.00 """ $ "" = """ 1.55 3.58
"" $ "" =8.00 """ $ "" = """ 1.#0 251.0
!.58 $ "" = 1!.2 1.#0 32.5#
""" 341.!!
= """ %&
= 10.3 %&
= !0 %&(
h)2
h)3
3.80 " #$ %afe again%t o&erturni
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a =
*2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.04! ( = """(
/* ' +++m
= 9)-
-
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5/72
RW ID : RW0 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
150
18.5
23.
38 4.00
!.58 4.50
"""
0.50
C 0.#0 2.00Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 1.20 """ $ "" = """ 0.55 15.58
$ "" $ "" = 0.! """ $ "" = """ 0.2# 5.
"" $ "" =1.00 """ $ "" = """ 1.55 3.58
"" $ "" =8.00 """ $ "" = """ 1.#0 251.0
!.58 $ "" = 1!.2 1.#0 32.5#
""" 341.!!
= """ %&
= 10.3 %&
= !0 %&(
h)2
h)3
3.80 " #$ %afe again%t o&erturni
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a =
*2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.04! ( = """(
/* ' +++m
= 9)-
-
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7/72
RW ID : RW 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
250
18.0
23.
38 4.00
!.58 4.50
"""
0.50
C 0.#0 2.00Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 1.20 """ $ "" = """ 0.55 15.58
$ "" $ "" = 0.! """ $ "" = """ 0.2# 5.
"" $ "" =1.00 """ $ "" = """ 1.55 3.58
"" $ "" =8.00 """ $ "" = """ 1.#0 244.80
!.58 $ "" = 1!.2 1.#0 32.5#
""" 335.1!
= """ %&
= 12.# %&
= 10! %&(
h)2
h)3
3.0# " #$ %afe again%t o&erturni
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a =
*2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 0.!5 ( = """(
/* ' +++m
= 9)-
-
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9/72
RW ID : RW, 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
250
18.0
23.
38 4.00
!.58 4.50
"""
0.50
C 0.#0 2.00Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 1.20 """ $ "" = """ 0.55 15.58
$ "" $ "" = 0.! """ $ "" = """ 0.2# 5.
"" $ "" =1.00 """ $ "" = """ 1.55 3.58
"" $ "" =8.00 """ $ "" = """ 1.#0 244.80
!.58 $ "" = 1!.2 1.#0 32.5#
""" 335.1!
= """ %&
= 12.# %&
= 10! %&(
h)2
h)3
3.0# " #$ %afe again%t o&erturni
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a =
*2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 0.!5 ( = """(
/* ' +++m
= 9)-
-
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11/72
RW ID : RW* 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
150
18.5
23.
38 4.00
!.58 4.50
"""
0.50
C 0.#0 2.00Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 1.20 """ $ "" = """ 0.55 15.58
$ "" $ "" = 0.! """ $ "" = """ 0.2# 5.
"" $ "" =1.00 """ $ "" = """ 1.55 3.58
"" $ "" =8.00 """ $ "" = """ 1.#0 251.0
!.58 $ "" = 1!.2 1.#0 32.5#
""" 341.!!
= """ %&
= 10.3 %&
= !0 %&(
h)2
h)3
3.80 " #$ %afe again%t o&erturni
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a =
*2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
-
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.04! ( = """(
/* ' +++m
= 9)-
-
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13/72
RW ID : RW2 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
150
18.0
23.
38 4.00
!.58 4.50
"""
0.50
C 0.80 2.20Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 1.20 """ $ "" = """ 0.5 18.41
$ "" $ "" = 1.13 """ $ "" = """ 0.33 8.85
"" $ "" =1.10 """ $ "" = """ 1.#5 45.43
"" $ "" =8.80 """ $ "" = """ 1.!0 300.!
!.58 $ "" = 21.1 1.!0 40.04
""" 413.!
= """ %&
= 12.2 %&
= 105 %&(
h)2
h)3
3.!5 " #$ %afe again%t o&erturni
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a =
*2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
-
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.18# ( = """(
/* ' +++m
= 9)-
-
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RW ID : RWR 0.#0
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
150
18.0
23.
34 3.#0
""" 4.50
"""
0.80
C 1.00 1.00 2.20Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 2.5! """ $ "" = """ 1.5 100.85
$ "" $ "" = 0.8 """ $ "" = """ 1.20 1!.12
"" $ "" =3.3 """ $ "" = """ 2.10 1.52
"" $ "" =8.14 """ $ 8.1 = """ 3.10 454.21
144 $ "" = 31 3.10 !80.03
""" 1#20.#4
= """ %&
= """ %&
= 48! %&(
h)2
h)3
3.52 " #$ %afe again%t o&erturnin
*5
. Soil -earing Caacity, /a = %&)(2
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a = *
2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
-
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17/72
RW ID : RW1 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
150
18.5
23.
38 4.00
!.58 4.50
"""
0.50
C 0.0 2.00Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 1.20 """ $ "" = """ 0.45 12.#4
$ "" $ """=0.8 """ $ "" = """ 0.20 3.1!
"" $ """= 1.00 """ $ "" = """ 1.45 34.22
"" $ """= 8.00 """ $ "" = """ 1.0 23.80
!.58 $ "" = 1!.2 1.0 30.
""" 31#.1
= """ %&
= 10.3 %&
= !0 %&(
h)2
h)3
3.53 " #$ %afe again%t o&erturni
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a =
*2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
-
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18/72
Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 0.!! ( = """(
/* ' +++m
= 9)-
-
8/19/2019 3.3.2-Retaining Wall With Surcharge
19/72
RW ID : RW# 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
150
18.5
23.
38 4.00
!.58 4.50
"""
0.50
C 0.#0 2.00Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 1.20 """ $ "" = """ 0.55 15.58
$ "" $ """=0.! """ $ "" = """ 0.2# 5.
"" $ """= 1.00 """ $ "" = """ 1.55 3.58
"" $ """= 8.00 """ $ "" = """ 1.#0 251.0
!.58 $ "" = 1!.2 1.#0 32.5#
""" 341.!!
= """ %&
= 10.3 %&
= !0 %&(
h)2
h)3
3.80 " #$ %afe again%t o&erturni
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a =
*2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
-
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20/72
Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.04! ( = """(
/* ' +++m
= 9)-
-
8/19/2019 3.3.2-Retaining Wall With Surcharge
21/72
RW ID : RW0 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
150
18.5
23.
38 4.00
!.58 4.50
"""
0.50
C 0.#0 2.00Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 1.20 """ $ "" = """ 0.55 15.58
$ "" $ """=0.! """ $ "" = """ 0.2# 5.
"" $ """= 1.00 """ $ "" = """ 1.55 3.58
"" $ """= 8.00 """ $ "" = """ 1.#0 251.0
!.58 $ "" = 1!.2 1.#0 32.5#
""" 341.!!
= """ %&
= 10.3 %&
= !0 %&(
h)2
h)3
3.80 " #$ %afe again%t o&erturni
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a =
*2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
-
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22/72
Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.04! ( = """(
/* ' +++m
= 9)-
-
8/19/2019 3.3.2-Retaining Wall With Surcharge
23/72
RW ID : RW 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
250
18.0
23.
38 4.00
!.58 4.50
"""
0.50
C 0.#0 2.00Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 1.20 """ $ "" = """ 0.55 15.58
$ "" $ """=0.! """ $ "" = """ 0.2# 5.
"" $ """= 1.00 """ $ "" = """ 1.55 3.58
"" $ """= 8.00 """ $ "" = """ 1.#0 244.80
!.58 $ "" = 1!.2 1.#0 32.5#
""" 335.1!
= """ %&
= 12.# %&
= 10! %&(
h)2
h)3
3.0# " #$ %afe again%t o&erturni
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a =
*2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
-
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24/72
Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 0.!5 ( = """(
/* ' +++m
= 9)-
-
8/19/2019 3.3.2-Retaining Wall With Surcharge
25/72
RW ID : RW, 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
250
18.0
23.
38 4.00
!.58 4.50
"""
0.50
C 0.#0 2.00Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 1.20 """ $ "" = """ 0.55 15.58
$ "" $ """=0.! """ $ "" = """ 0.2# 5.
"" $ """= 1.00 """ $ "" = """ 1.55 3.58
"" $ """= 8.00 """ $ "" = """ 1.#0 244.80
!.58 $ "" = 1!.2 1.#0 32.5#
""" 335.1!
= """ %&
= 12.# %&
= 10! %&(
h)2
h)3
3.0# " #$ %afe again%t o&erturni
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a =
*2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
-
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26/72
Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 0.!5 ( = """(
/* ' +++m
= 9)-
-
8/19/2019 3.3.2-Retaining Wall With Surcharge
27/72
RW ID : RW* 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
150
18.5
23.
38 4.00
!.58 4.50
"""
0.50
C 0.#0 2.00Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 1.20 """ $ "" = """ 0.55 15.58
$ "" $ """=0.! """ $ "" = """ 0.2# 5.
"" $ """= 1.00 """ $ "" = """ 1.55 3.58
"" $ """= 8.00 """ $ "" = """ 1.#0 251.0
!.58 $ "" = 1!.2 1.#0 32.5#
""" 341.!!
= """ %&
= 10.3 %&
= !0 %&(
h)2
h)3
3.80 " #$ %afe again%t o&erturni
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a =
*2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
-
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.04! ( = """(
/* ' +++m
= 9)-
-
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RW ID : RW2 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
150
18.0
23.
38 4.00
!.58 4.50
"""
0.50
C 0.80 2.00Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 1.20 """ $ "" = """ 0.5 18.41
$ "" $ """=1.13 """ $ "" = """ 0.33 8.85
"" $ """= 1.00 """ $ "" = """ 1.5 38.!4
"" $ """= 8.00 """ $ "" = """ 1.80 25!.20
!.58 $ "" = 1!.2 1.80 34.4!
""" 35!.8!
= """ %&
= 12.2 %&
= 105 %&(
h)2
h)3
3.43 " #$ %afe again%t o&erturni
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a =
*2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
-
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.05 ( = """(
/* ' +++m
= 9)-
-
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RW ID : RWR 0.#0
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
150
18.0
23.
34 3.#0
""" 4.50
"""
0.80
C 1.00 1.00 2.20Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 2.5! """ $ "" = """ 1.5 100.85
$ "" $ "" = 0.8 """ $ "" = """ 1.20 1!.12
"" $ "" =3.3 """ $ "" = """ 2.10 1.52
"" $ "" =8.14 """ $ "" = """ 3.10 454.21
144 $ "" = 31 3.10 !80.03
""" 1#20.#4
= """ %&
= """ %&
= 48! %&(
h)2
h)3
3.52 " #$ %afe again%t o&erturnin
*5
. Soil -earing Caacity, /a = %&)(2
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a = *
2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
-
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.!!0 ( = 0.11 (
/* ' +++m
= 9)-
-
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RW ID : RW3
0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
150
18.5
23.
40 2.00
!.58 2.50
"""
0.50
0.30 1.30 CFactor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 0.0 """ $ "" = """ 1.45 20.53
"" $ """= 0.80 """ $ "" = """ 0.80 15.10
""" 35.4
= """ %&
2.2# %&
-
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 0.!3 ( = """ (
/* ' -.#2 m
= 9)-
-
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RW ID : RW4 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
200
18.5
23.
40 2.00
!.58
"""
0.50
0.30 0.!0 CFactor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 0.0 """ $ "" = """ 1.05 14.8#
"" $ "" =0.0 """ $ "" = """ 0. 8.50
""" 23.3
= """ %&
on to of all
= """ %&(
Ph
h)3
2.33 " #$ %afe again%t o&erturni
+llo. Soil -earing Caacity, /a = %&)(2
Soil nit *eight, γ = %&)(3 *1
Concrete nit *eight, γ c = %&)(3
+ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
Coe. of +cti6e Prere, %a =
*2
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
R ' MR '
:6ertrning Mo(ent, M:
Ph = 1)2 %a γ ;2
M: = Ph
-
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 0.4#1 ( = """ (
/* ' -.#- m
= 9)-
-
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RW ID : RW1- 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
200
18.5
23.
41
2.50 !.58
"""
0.30 0.!0Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 0.0 """ $ "" = """ 1.05 14.8#
"" $ """= 0.0 """ $ "" = """ 0. 8.50
""" 23.3
= """ %&
= """ %&(
Ph
h)3
2.33 " #$ %afe again%t o&erturni
+llo. Soil -earing Caacity, /a = %&)(2
Soil nit *eight, γ = %&)(3 *1
Concrete nit *eight, γ c = %&)(3
+ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
Coe. of +cti6e Prere, %a =
*2
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
R ' MR '
:6ertrning Mo(ent, M:
Ph = 1)2 %a γ ;2
M: = Ph
-
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 0.4#1 ( = """ (
/* ' -.#- m
= 9)-
-
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RW ID : RW11 0.40
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
200
18.5
23.
2.00 41
2.50 !.58
"""
0.50
C 0.40 1.Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 1.20 """ $ "" = """ 1.5 42.48
"" $ """= 0.85 """ $ "" = """ 0.85 1#.05
""" 5!.53
= """ %&
= """ %&(
Ph
h)3
2.1 " #$ %afe again%t o&erturni
+llo. Soil -earing Caacity, /a = %&)(2
Soil nit *eight, γ = %&)(3 *1
Concrete nit *eight, γ c = %&)(3
+ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
Coe. of +cti6e Prere, %a =
*2
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
R ' MR '
:6ertrning Mo(ent, M:
Ph = 1)2 %a γ ;2
M: = Ph
-
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2
= 0.2 ( = """
/* ' -.#3
= 9)-
-
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3.00
3.50
0.50
30 C
-
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$
(
m
%&(
((
3
4
(
3
ar
((2
(( φ ar
((2
-
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43/72
RW ID : RW* 0.0
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
150
18.5
23.
40 !.00
!.58 """
"""
1.00
0.0 4.00 CFactor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $"""= 5.40 """ $ "" = """ 4.3 54#.!!
"" $ """= 4.0 """ $ "" = """ 2.30 24!.!
""" #!#.8
= """ %&
= """ %&(
2.2# %&
-
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 0.545 ( = """ (
" /* ' -.22 m
= 9)-
-
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on to of all
-
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-
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RW ID : RW* 0.80 RW ID :
Concrete Strength, f'c = 21 MPa Concr
Steel Yield Strength, fy = 414 MPa Steel Y
150
18.5
23.
38 10.00
!.58 """
"""
1.00
C 1.50 2.50Factor of Safety Against Overturning (consider 1-m strip) Factor of
Weight/unit Moment arm
Section Area length from point C Moment Section
No. (kN/m (m (kN!m No.
"" $"""= 8.00 """ $ 8.0 = """ 1.1 20#.8
$ "" $ """=3.85 """ $ 3.! = """ 0.4# 42.40
"" $ """= 2.50 """ $ "" = """ 2.35 138.5
"" $ """= """ """ $ "" = """ 2.#5 12#1.88
!.58 $ "" = 24 2.#5 5.8
""" 1#2.4#
= """ %&
= 25.1 %&
= 1115 %&(
h)2
h)3
1.55 #$ not %afe again%t o&ert
*5
. Soil -earing Caacity, /a = %&)(2 +llo. Soil -ea
Soil nit *eight, γ = %&)(3 *1 *4 So
Concrete nit *eight, γ c = %&)(3 Concret
ngle of nternal riction, φ = +ngle of n
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a = Coe. of +c
*2
*3
7alation to deter(ine 9ighting Mo(ent, M9
7alat
(m#
*1
*1
*2
1)2
*2
*3
*3
*4
*4
*5
*5
R ' MR '
:6ertrning Mo(ent, M:
:6ert
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
-
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Soil Prere Soil Pr
-
C?
9$ =
$ e 9 e = -)2 $
= 0.#41 ( = """(
" /* ' +++m
= 9)-
-
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49/72
RW* 0.#0
ete Strength, f'c = 21 MPa
ield Strength, fy = 414 MPa
150
18.5
23.
38 """
!.58 """
"""
0.#0
C 1.50 1.50 2.30 Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Area length from point C Moment
(kN/m (m (kN!m
"" $"""= #.21 """ $ "" = """ 2.5 450.!1
$ "" $ "" = 4.40 """ $ "" = """ 2.03 211.14
"" $ "" =3.#1 """ $ 3.# = """ 2.5 232.02
"" $ "" = """ """ $ "" = """ 4.15 1818.80
!.58 $ "" = 22 4.15 !1.44
""" 2804.32
= """ %&
= 25.1 %&
= 1115 %&(
h)2
h)3
2.52 " #$ %afe again%t o&erturnin
*5
ing Caacity, /a = %&)(2
il nit *eight, γ = %&)(3 *1 *4
e nit *eight, γ c = %&)(3
ternal riction, φ =
Srcharge, γ r
= %&)(2
ti6e Prere, %a = *
2
*3
ion to deter(ine 9ighting Mo(ent, M9
(m#
1)2
R ' MR '
rning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph2
-
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-
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51/72
RW ID : RW* 0.50
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
150
18.5
23.
38 #.00
!.58 #.50
"""
0.50
C 1.20 1.00 1.50Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
#.0 $"""= 3.50 """ $ "" = """ 1.!5 11.0#
$ "" $ #.5 = 2.3 """ $ "" = """ 1.53 !4.!!
"" $ """= 1.85 """ $ 1.! = """ 1.85 80.##
#.0 $ """= """ """ $ "" = """ 2.!5 5#3.04
!.58 $ "" = 14.4 2.!5 42.3!
""" !52.2
= """ %&
= 1#.1 %&
= 3#4 %&(
h)2
h)3
*5
. Soil -earing Caacity, /a = %&)(2
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a = *
2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph
1
Ph1
= ΣM
9
-
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. $
Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.458 ( = 0.3! (
/* ' +++m
= 9)-
-
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= 28.38 %&92
-
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54/72
Ph2
-
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2
-
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-
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57/72
RW ID : RW* 0.30
Concrete Strength, f'c = 21 MPa
Steel Yield Strength, fy = 414 MPa
150
18.5
23.
38 4.50
!.58 5.00
"""
0.50
C 1.00 0.0 1.00Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
4.5 $"""= 1.35 """ $ "" = """ 1.45 4.20
$ "" $ 5.0 = 1.#5 """ $ "" = """ 1.20 4!.5
"" $ """= 1.30 """ $ 1.3 = """ 1.30 3!.88
4.5 $ """= 4.50 """ $ 4.5 = """ 2.10 1#4.83
!.58 $ "" = !.58 2.10 20.12
""" 330.58
= 55.0 %&
= 11.4 %&
= 120 %&(
h)2
h)3
2.#5 " #$ %afe again%t o&erturnin
*5
. Soil -earing Caacity, /a = %&)(2
Soil nit *eight, γ = %&)(3 *1 *4
Concrete nit *eight, γ c = %&)(3
ngle of nternal riction, φ =
Srcharge, γ r
= %&)(2
oe. of +cti6e Prere, %a = *
2
*3
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
R ' MR '
:6ertrning Mo(ent, M:
Ph1 = 1)2 %a γ
;2
Ph2 = %a γ
r h
Ph2
M: = Ph1 Ph
1
So6ertrning
= ΣM
9
M:
-
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58/72
Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.0#0 ( = 0.23 (
/* ' +++m
= 9)-
-
8/19/2019 3.3.2-Retaining Wall With Surcharge
59/72
Ph2
-
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2
-
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RW ID : RW* 0.50
Concrete Strength, f'c = 21 MPa 0.2#!
Steel Yield Strength, fy = 414 MPa250
"""
23. Pa
40 3.!0
10 4.50 Ph
"""
"""
"""
Pa = !5.1 %&)(0.0
""" %&)(
!3.# %&)( C 0.80 0.80 1.0
Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $ 0.50 =1.!5 """ $ 1.!5 = """ 1.35 2.13
$ "" $ 4.50 =0.8 """ $ 0.8 = """ 1.00 15.!3
"" $ 0.0 =0.! """ $ 0.! = """ 1.0 3.25
"" $ 1.0 =.24 """ $ .24 = """ 2.40 2##.0
$"""$ """=""" """ $ """= 4.13 2.# 11.02
= """ 3.20 53.10""" 455.48
= 10.2 %&(
Ph = """ %&(
h)2
h)3
2.04 " #$ %afe again%t o&erturnin
*5
. Soil -earing Caacity, /a = %&)(2
Soil nit *eight, γ = %&)(3 *1 *4 P6
Concrete nit *eight, γ c = %&)(3
+ngle of nternal riction, φ =
nation of grond rface, β =
in β = *2
co β = *3%Dll Prere ;or. Coe., %
h =
P6 = Pa in β =
Ph = Pa co β =
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
1)2
P6
R ' MR '
:6ertrning Mo(ent, M:
Phr
= %a γ r
h
Phr
M: = Ph Ph
r
-
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 0.55 (
= 1.050 (
" /* ' +++m
= 9)-
-
8/19/2019 3.3.2-Retaining Wall With Surcharge
63/72
RW ID : RWR1 0.50
Concrete Strength, f'c = 21 MPa 0.81
Steel Yield Strength, fy = 414 MPa250
"""
23. Pa
40 3.!0
10 4.50 Ph
"""
"""
"""
Pa = """ %&)(0.0
""" %&)(
""" %&)( C 0.#0 0.#0 1.80
Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $ 0.50 =1.!5 """ $ 1.!5 = """ 1.15 52.!2
$ "" $ 4.50 =0.45 """ $ 0.45 = """ 0.83 8.85
"" $ 0.0 =1.08 """ $ 1.08 = """ 1.0 40.#8
"" $ 1.80 =#.02 """ $ #.02 = """ 2.30 2!8.#0
$"""$ """=""" """ $ """= 11.3 2.0 2!.4#
= """ 3.20 2.40""" 4!3.12
Ph = """ %&(
h)3
2.5! " #$ %afe again%t o&erturnin
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4 P6
Concrete nit *eight, γ c = %&)(3
+ngle of nternal riction, φ =
nation of grond rface, β = ncli
in β = *2
co β = *3%Dll Prere ;or. Coe., %
h = -ac
P6 = Pa in β =
Ph = Pa co β =
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
1)2
P6
R ' MR '
:6ertrning Mo(ent, M:
M: = Ph
-
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Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.248 ( = 0.35 (
/* ' +++m
= 9)-
-
8/19/2019 3.3.2-Retaining Wall With Surcharge
65/72
RW ID : RWR# 0.30
Concrete Strength, f'c = 21 MPa 0.3
Steel Yield Strength, fy = 414 MPa150
"""
23. Pa
40 3.80
10 4.50 Ph
"""
"""
"""
Pa = """ %&)(0.#0
""" %&)(
""" %&)( C 0.80 0.#0 1.!0
Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $ 0.30 =1.14 """ $ 1.14 = """ 1.35 3.32
$ "" $ 4.50 =0.!0 """ $ 0.!0 = """ 1.0# 22.
"" $ 0.#0 =1.33 """ $ 1.33 = """ 1.#0 53.3
"" $ 1.!0 =#.22 """ $ #.22 = """ 2.45 32#.25
$"""$ """=""" """ $ """= 11.# 2.## 32.25
= """ 3.40 5.85""" 53#.8
Ph = """ %&(
h)3
2.8 " #$ %afe again%t o&erturnin
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4 P6
Concrete nit *eight, γ c = %&)(3
+ngle of nternal riction, φ =
nation of grond rface, β = ncli
in β = *2
co β = *3%Dll Prere ;or. Coe., %
h = -ac
P6 = Pa in β =
Ph = Pa co β =
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
1)2
P6
R ' MR '
:6ertrning Mo(ent, M:
M: = Ph
-
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66/72
Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.432 ( = 0.2# (
/* ' +++m
= 9)-
-
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RW ID : RWR0 0.50
Concrete Strength, f'c = 21 MPa 0.3
Steel Yield Strength, fy = 414 MPa150
"""
23. Pa
40 3.80
10 4.50 Ph
"""
"""
"""
Pa = """ %&)(0.#0
""" %&)(
""" %&)( C 0.80 0.80 1.!0
Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $ 0.50 =1.!0 """ $ 1.!0 = """ 1.35 0.53
$ "" $ 4.50 =0.8 """ $ 0.8 = """ 1.00 15.!3
"" $ 0.#0 =1.33 """ $ 1.33 = """ 1.#5 54.!3
"" $ 1.!0 =#.22 """ $ #.22 = """ 2.55 331.40
$"""$ """=""" """ $ """= 11.3 2.8# 32.51
= """ 3.50 5.!5""" 51.2
Ph = """ %&(
h)3
3.0# " #$ %afe again%t o&erturnin
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4 P6
Concrete nit *eight, γ c = %&)(3
+ngle of nternal riction, φ =
nation of grond rface, β = ncli
in β = *2
co β = *3%Dll Prere ;or. Coe., %
h = -ac
P6 = Pa in β =
Ph = Pa co β =
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
1)2
P6
R ' MR '
:6ertrning Mo(ent, M:
M: = Ph
-
8/19/2019 3.3.2-Retaining Wall With Surcharge
68/72
Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.4!! ( = 0.25 (
/* ' +++m
= 9)-
-
8/19/2019 3.3.2-Retaining Wall With Surcharge
69/72
RW ID : RW91 0.30
Concrete Strength, f'c = 21 MPa 0.3
Steel Yield Strength, fy = 414 MPa150
"""
23. Pa
40 3.80
10 4.50 Ph
"""
"""
"""
Pa = """ %&)(0.#0
""" %&)(
""" %&)( C 0.80 0.0 1.!0
Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $ 0.30 =1.14 """ $ 1.14 = """ 1.25 33.3
$ "" $ 4.50 =0.8 """ $ 0.8 = """ 1.00 15.!3
"" $ 0.#0 =1.33 """ $ 1.33 = """ 1.5 51.#!
"" $ 1.!0 =#.22 """ $ #.22 = """ 2.35 313.8!
$"""$ """=""" """ $ """= 11.# 2.# 31.08
= """ 3.30 3.!1""" 510.24
Ph = """ %&(
h)3
2.#1 " #$ %afe again%t o&erturnin
*5
. Soil -earing Caacity, /a = %&)(2 +llo
Soil nit *eight, γ = %&)(3 *1 *4 P6
Concrete nit *eight, γ c = %&)(3
+ngle of nternal riction, φ =
nation of grond rface, β = ncli
in β = *2
co β = *3%Dll Prere ;or. Coe., %
h = -ac
P6 = Pa in β =
Ph = Pa co β =
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
1)2
P6
R ' MR '
:6ertrning Mo(ent, M:
M: = Ph
-
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70/72
Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.34! ( = 0.30 (
/* ' +++m
= 9)-
-
8/19/2019 3.3.2-Retaining Wall With Surcharge
71/72
RW ID : RW9# 0.50
Concrete Strength, f'c = 21 MPa 0.3
Steel Yield Strength, fy = 414 MPa150
"""
23. Pa
40 3.80
10 4.50 Ph
"""
"""
"""
Pa = """ %&)(0.#0
""" %&)(
""" %&)( C 0.80 0.80 1.!0
Factor of Safety Against Overturning (consider 1-m strip)
Weight/unit Moment arm
Section Area length from point C Moment
No. (kN/m (m (kN!m
"" $ 0.50 =1.!0 """ $ 1.!0 = """ 1.35 0.53
$ "" $ 4.50 =0.8 """ $ 0.8 = """ 1.00 15.!3
"" $ 0.#0 =1.33 """ $ 1.33 = """ 1.#5 54.!3
"" $ 1.!0 =#.22 """ $ #.22 = """ 2.55 340.0
$"""$ """=""" """ $ """= 11.# 2.8# 33.41
= """ 3.50 #.#!""" 5#3.20
Ph = """ %&(
h)3
3.05 " #$ %afe again%t o&erturnin
*5
. Soil -earing Caacity, /a = %&)(2
Soil nit *eight, γ = %&)(3 *1 *4 P6
Concrete nit *eight, γ c = %&)(3
+ngle of nternal riction, φ =
nation of grond rface, β =
in β = *2
co β = *3%Dll Prere ;or. Coe., %
h =
P6 = Pa in β =
Ph = Pa co β =
7alation to deter(ine 9ighting Mo(ent, M9
(m#
*1
*2
1)2
*3
*4
*5
1)2
P6
R ' MR '
:6ertrning Mo(ent, M:
M: = Ph
-
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72/72
Soil Prere
-
C?
9$ =
$ e 9 e = -)2 $
= 1.500 ( = 0.25 (
/* ' +++m
= 9)-
