1.5 m 2.5 m 2.5 m ☐ Ysat = 16 kN/m³ 50 kPa Clay 2 m Figures and equations 0.25 H 0.25 H 4.5 m Ysat 17 kN/m³ Clay H σα 0.5 H σα Su = 40 kPa σα 0.75 H 1.5 m 1.5 m Ysat 18 kN/m³ Clay Su = 70 kPa T= 5 m 0.25 H Figure 10.5 Peck's (1969) apparent-pressure envelope for cuts in sand Figure 10.6 Peck's (1969) apparent-pressure envelope for cuts in soft to medium clay Figure 10.7 Peck's (1969) apparent-pressure envelope for cuts in stiff clay (a) a = 0.65уHKa (b) > 4 →the larger of σa = - C = yH [1 − (ª²²)] and σa = : 0.3yH Q2. Answer the following questions (i) For the braced cut shown in the figure, (a) draw the apparent earth pressure envelope for the design of the braced cut, compute the equivalent earth pressure, (b) determine the force in the struts, given the horizontal spacing, S, to be 4 m, and (c) determine the maximum bending moment of the wale for the first layer below ground surface. (c) FS YH C ≤ 4 →>> σa = 0.2yH~0.4yH Use σa = 0.3yH if necessary cNc (1+0.2") YH+q where B' = T if T ≤ B/√2, B' = B/√2 if T > B/√2, B" = √2B' 1 : 2H Yeq = [YsHs + Yc(H - Hs)], Ceq = [Y¸K¸H} tan ø¸ + (H − H¸)n'qu] = = H Yav = H (Y1H₁ +Y₂H₂+.......+YnHn), Cav = ½-½ (C₁H₁ + C₂H₂+...+CnHn) As² Mmax , Mmax (B1+B2)s² 8 8 Hint: Q2: Since a beam with more than 3 supports implies statically indeterminate, a hinge is assumed at the end of all struts, except for the top and bottom ones (see P9 of the updated lecture slide “Braced cut" ). Point B is assumed to be a hinge for obtaining three unknown strut forces pA, PB and pc by the static equilibriums of force and moment. 2 m 4.5 m 0.5 m 0.25H 0.5H 0.5 m 1.5 m 0.25H 1.5 m 2.5 m 2.5 m PA X1 PB 1.5 m Pc H Saturated clay ба Breaking a whole sheet pile into portions H₁+H2 and portions H3+H4, which are symmetry at point B H₁ F h₁ 0.5h2 H₂ PA PB1 0.5h2 h3 PB2 H3 Pc На

Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter10: Shear Strength Of Soil
Section: Chapter Questions
Problem 10.24CTP
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I need detailed help solving this exercise from homework of Foundation Engineering.
I do not really understand how to do, please do it step by step, not that long but clear. Thank you!

1.5 m
2.5 m
2.5 m
☐
Ysat
= 16 kN/m³
50 kPa
Clay
2 m
Figures and equations
0.25 H
0.25 H
4.5 m
Ysat 17 kN/m³
Clay
H
σα
0.5 H
σα
Su = 40 kPa
σα
0.75 H
1.5 m
1.5 m
Ysat 18 kN/m³
Clay
Su = 70 kPa
T= 5 m
0.25 H
Figure 10.5 Peck's
(1969) apparent-pressure
envelope for cuts in sand
Figure 10.6 Peck's (1969)
apparent-pressure envelope
for cuts in soft to medium clay
Figure 10.7 Peck's (1969)
apparent-pressure envelope
for cuts in stiff clay
(a)
a = 0.65уHKa
(b)
> 4 →the larger of σa
=
-
C
= yH [1 − (ª²²)] and σa
= : 0.3yH
Q2. Answer the following questions
(i) For the braced cut shown in the figure, (a) draw the
apparent earth pressure envelope for the design of the
braced cut, compute the equivalent earth pressure, (b)
determine the force in the struts, given the horizontal
spacing, S, to be 4 m, and (c) determine the maximum
bending moment of the wale for the first layer below
ground surface.
(c)
FS
YH
C
≤ 4 →>>
σa = 0.2yH~0.4yH Use σa = 0.3yH if necessary
cNc (1+0.2")
YH+q
where B' = T if T ≤ B/√2, B' = B/√2 if T > B/√2, B" = √2B'
1
:
2H
Yeq = [YsHs + Yc(H - Hs)], Ceq = [Y¸K¸H} tan ø¸ + (H − H¸)n'qu]
= =
H
Yav =
H
(Y1H₁ +Y₂H₂+.......+YnHn), Cav = ½-½ (C₁H₁ + C₂H₂+...+CnHn)
As²
Mmax
,
Mmax
(B1+B2)s²
8
8
Hint:
Q2:
Since a beam with more than 3 supports implies statically indeterminate, a hinge is assumed at the end of all struts,
except for the top and bottom ones (see P9 of the updated lecture slide “Braced cut" ). Point B is assumed to be a hinge
for obtaining three unknown strut forces pA, PB and pc by the static equilibriums of force and moment.
2 m
4.5 m
0.5 m
0.25H
0.5H
0.5 m
1.5 m
0.25H
1.5 m
2.5 m
2.5 m
PA X1
PB
1.5 m
Pc
H
Saturated clay
ба
Breaking a whole sheet pile into portions H₁+H2 and portions H3+H4, which are symmetry at point B
H₁
F
h₁
0.5h2
H₂
PA
PB1 0.5h2
h3
PB2
H3
Pc
На
Transcribed Image Text:1.5 m 2.5 m 2.5 m ☐ Ysat = 16 kN/m³ 50 kPa Clay 2 m Figures and equations 0.25 H 0.25 H 4.5 m Ysat 17 kN/m³ Clay H σα 0.5 H σα Su = 40 kPa σα 0.75 H 1.5 m 1.5 m Ysat 18 kN/m³ Clay Su = 70 kPa T= 5 m 0.25 H Figure 10.5 Peck's (1969) apparent-pressure envelope for cuts in sand Figure 10.6 Peck's (1969) apparent-pressure envelope for cuts in soft to medium clay Figure 10.7 Peck's (1969) apparent-pressure envelope for cuts in stiff clay (a) a = 0.65уHKa (b) > 4 →the larger of σa = - C = yH [1 − (ª²²)] and σa = : 0.3yH Q2. Answer the following questions (i) For the braced cut shown in the figure, (a) draw the apparent earth pressure envelope for the design of the braced cut, compute the equivalent earth pressure, (b) determine the force in the struts, given the horizontal spacing, S, to be 4 m, and (c) determine the maximum bending moment of the wale for the first layer below ground surface. (c) FS YH C ≤ 4 →>> σa = 0.2yH~0.4yH Use σa = 0.3yH if necessary cNc (1+0.2") YH+q where B' = T if T ≤ B/√2, B' = B/√2 if T > B/√2, B" = √2B' 1 : 2H Yeq = [YsHs + Yc(H - Hs)], Ceq = [Y¸K¸H} tan ø¸ + (H − H¸)n'qu] = = H Yav = H (Y1H₁ +Y₂H₂+.......+YnHn), Cav = ½-½ (C₁H₁ + C₂H₂+...+CnHn) As² Mmax , Mmax (B1+B2)s² 8 8 Hint: Q2: Since a beam with more than 3 supports implies statically indeterminate, a hinge is assumed at the end of all struts, except for the top and bottom ones (see P9 of the updated lecture slide “Braced cut" ). Point B is assumed to be a hinge for obtaining three unknown strut forces pA, PB and pc by the static equilibriums of force and moment. 2 m 4.5 m 0.5 m 0.25H 0.5H 0.5 m 1.5 m 0.25H 1.5 m 2.5 m 2.5 m PA X1 PB 1.5 m Pc H Saturated clay ба Breaking a whole sheet pile into portions H₁+H2 and portions H3+H4, which are symmetry at point B H₁ F h₁ 0.5h2 H₂ PA PB1 0.5h2 h3 PB2 H3 Pc На
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