Figures and equations 1.5 m Ysat 16 kN/m³ Clay Su = 50 kPa 2 m 0.25 H * 0.25 H + 2.5 m 4.5 m Ysat 17 kN/m Clay H σa 0.5 H σ 40 kPa. 0 2.5 m 0.75 H 1.5 m 1.5 m Ysat 18 kN/m³ Clay Su-70 kPa T=5m 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. Figure 10.5 Peck's (1969) apparent-pressure envelope for cuts in sand (a) a 0.65yHKa Figure 10.6 Peck's (1969) apparent-pressure envelope. for cuts in soft to medium clay - + 0.25 H ↓ Figure 10.7 Peck's (1969) apparent-pressure envelope for cuts in stiff clay (b) '>4 → the larger of σ = YH [1 − (^)] and σ₁ = 0.3yH (c) H≤4 σa = 0.2yH~0.4yH Use σ = 0.3yH if necessary FS = CNC (1+0.2 yH+q 2H where B' = T if T B/√√2, B" = √2B' Yeq = [YsHs + Yc(H - Hs)], Ceq = 2½ [YsK¸H² tan ¢¸ + (H − H¸)n'qu] Yav = (₁₁ + Y₂H₂+....... +YnHn), Cav = ½-½ (C₁₂H₁ + C₂H₂+...+CnH₂) As² Mmax 8 = Mmax (B1+B2)s² = 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 E 1.5 m 5 0.25H 1.5 m 2.5 m 2.5 m 1.5 m. PA X1 PB Pc H Saturated clay ба T Breaking a whole sheet pile into portions H₁+H2 and portions H3+H4, which are symmetry at point B h₁ 0.5h2 H₁ H₂ PA PB1 0.5h2 h3 " H3 HA PB2 Pc
Figures and equations 1.5 m Ysat 16 kN/m³ Clay Su = 50 kPa 2 m 0.25 H * 0.25 H + 2.5 m 4.5 m Ysat 17 kN/m Clay H σa 0.5 H σ 40 kPa. 0 2.5 m 0.75 H 1.5 m 1.5 m Ysat 18 kN/m³ Clay Su-70 kPa T=5m 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. Figure 10.5 Peck's (1969) apparent-pressure envelope for cuts in sand (a) a 0.65yHKa Figure 10.6 Peck's (1969) apparent-pressure envelope. for cuts in soft to medium clay - + 0.25 H ↓ Figure 10.7 Peck's (1969) apparent-pressure envelope for cuts in stiff clay (b) '>4 → the larger of σ = YH [1 − (^)] and σ₁ = 0.3yH (c) H≤4 σa = 0.2yH~0.4yH Use σ = 0.3yH if necessary FS = CNC (1+0.2 yH+q 2H where B' = T if T B/√√2, B" = √2B' Yeq = [YsHs + Yc(H - Hs)], Ceq = 2½ [YsK¸H² tan ¢¸ + (H − H¸)n'qu] Yav = (₁₁ + Y₂H₂+....... +YnHn), Cav = ½-½ (C₁₂H₁ + C₂H₂+...+CnH₂) As² Mmax 8 = Mmax (B1+B2)s² = 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 E 1.5 m 5 0.25H 1.5 m 2.5 m 2.5 m 1.5 m. PA X1 PB Pc H Saturated clay ба T Breaking a whole sheet pile into portions H₁+H2 and portions H3+H4, which are symmetry at point B h₁ 0.5h2 H₁ H₂ PA PB1 0.5h2 h3 " H3 HA PB2 Pc
Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN:9781305081550
Author:Braja M. Das
Publisher:Braja M. Das
Chapter14: Sheet-pile Walls
Section: Chapter Questions
Problem 14.9P
Related questions
Question
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!
![Figures and equations
1.5 m
Ysat 16 kN/m³
Clay
Su = 50 kPa
2 m
0.25 H
*
0.25 H
+
2.5 m
4.5 m
Ysat 17 kN/m
Clay
H
σa
0.5 H
σ
40 kPa.
0
2.5 m
0.75 H
1.5 m
1.5 m
Ysat 18 kN/m³
Clay
Su-70 kPa
T=5m
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.
Figure 10.5 Peck's
(1969) apparent-pressure
envelope for cuts in sand
(a) a 0.65yHKa
Figure 10.6 Peck's (1969)
apparent-pressure envelope.
for cuts in soft to medium clay
-
+
0.25 H
↓
Figure 10.7 Peck's (1969)
apparent-pressure envelope
for cuts in stiff clay
(b) '>4 → the larger of σ = YH [1 − (^)] and σ₁ = 0.3yH
(c) H≤4 σa = 0.2yH~0.4yH Use σ = 0.3yH if necessary
FS =
CNC (1+0.2
yH+q
2H
where B' = T if T <B/√2, B' = B/√√2 if T > B/√√2, B" = √2B'
Yeq = [YsHs + Yc(H - Hs)], Ceq = 2½ [YsK¸H² tan ¢¸ + (H − H¸)n'qu]
Yav = (₁₁ + Y₂H₂+....... +YnHn), Cav = ½-½ (C₁₂H₁ + C₂H₂+...+CnH₂)
As²
Mmax
8
= Mmax
(B1+B2)s²
=
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
E
1.5 m
5
0.25H
1.5 m
2.5 m
2.5 m
1.5 m.
PA X1
PB
Pc
H
Saturated clay
ба
T
Breaking a whole sheet pile into portions H₁+H2 and portions H3+H4, which are symmetry at point B
h₁
0.5h2
H₁
H₂
PA
PB1 0.5h2
h3
"
H3
HA
PB2
Pc](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14edd9a8-fad3-4b3f-b234-2144164e926a%2F5f70e032-1092-4311-bfde-f80b9d5b7ff7%2Fwg5nmr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Figures and equations
1.5 m
Ysat 16 kN/m³
Clay
Su = 50 kPa
2 m
0.25 H
*
0.25 H
+
2.5 m
4.5 m
Ysat 17 kN/m
Clay
H
σa
0.5 H
σ
40 kPa.
0
2.5 m
0.75 H
1.5 m
1.5 m
Ysat 18 kN/m³
Clay
Su-70 kPa
T=5m
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.
Figure 10.5 Peck's
(1969) apparent-pressure
envelope for cuts in sand
(a) a 0.65yHKa
Figure 10.6 Peck's (1969)
apparent-pressure envelope.
for cuts in soft to medium clay
-
+
0.25 H
↓
Figure 10.7 Peck's (1969)
apparent-pressure envelope
for cuts in stiff clay
(b) '>4 → the larger of σ = YH [1 − (^)] and σ₁ = 0.3yH
(c) H≤4 σa = 0.2yH~0.4yH Use σ = 0.3yH if necessary
FS =
CNC (1+0.2
yH+q
2H
where B' = T if T <B/√2, B' = B/√√2 if T > B/√√2, B" = √2B'
Yeq = [YsHs + Yc(H - Hs)], Ceq = 2½ [YsK¸H² tan ¢¸ + (H − H¸)n'qu]
Yav = (₁₁ + Y₂H₂+....... +YnHn), Cav = ½-½ (C₁₂H₁ + C₂H₂+...+CnH₂)
As²
Mmax
8
= Mmax
(B1+B2)s²
=
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
E
1.5 m
5
0.25H
1.5 m
2.5 m
2.5 m
1.5 m.
PA X1
PB
Pc
H
Saturated clay
ба
T
Breaking a whole sheet pile into portions H₁+H2 and portions H3+H4, which are symmetry at point B
h₁
0.5h2
H₁
H₂
PA
PB1 0.5h2
h3
"
H3
HA
PB2
Pc
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