Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A rigid smooth retaining wall of height 7 m w...
Start Learning for Free
A rigid smooth retaining wall of height 7 m with vertical backface retains saturated clay as backfill. The saturated unit weight and undrained cohesion of the backfill are 17.2 kN/m3 and 20 kPa, respectively. The difference in the active lateral forces on the wall (in kN per meter length of wall, up to decimal places), before and after the occurrence of tension cracks is _________
Correct answer is '(46.72)'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A rigid smooth retaining wall of height 7 m with vertical backface ret...
For clay ø = 0
∴
Earth pressure when tension cracks are not developed.
Earth pressure when tension cracks are developed
Difference 188.136 - 141.4098
= 46.7262 kN/m2
Most Upvoted Answer
A rigid smooth retaining wall of height 7 m with vertical backface ret...
Given data:
- Height of retaining wall (H) = 7 m
- Saturated unit weight of backfill (γsat) = 17.2 kN/m3
- Undrained cohesion of backfill (cu) = 20 kPa
Active Lateral Earth Pressure:
The active lateral earth pressure is given by the equation:
Pa = (1/2) * γsat * H2 * Ka
where,
Pa = Active lateral earth pressure
γsat = Saturated unit weight of backfill
H = Height of retaining wall
Ka = Active earth pressure coefficient
Active Earth Pressure Coefficient:
The active earth pressure coefficient (Ka) can be calculated using Rankine's theory as:
Ka = (1 - sinφ) / (1 + sinφ)
where,
φ = Angle of internal friction of the backfill
Tension Cracks:
Tension cracks occur when the lateral earth pressure exceeds the tensile strength of the soil. In this case, the backfill is saturated clay, which has negligible tensile strength. Therefore, tension cracks are likely to occur when the active lateral earth pressure exceeds the passive lateral earth pressure.
Passive Lateral Earth Pressure:
The passive lateral earth pressure is given by the equation:
Pp = (1/2) * γsat * H2 * Kp
where,
Pp = Passive lateral earth pressure
γsat = Saturated unit weight of backfill
H = Height of retaining wall
Kp = Passive earth pressure coefficient
Passive Earth Pressure Coefficient:
The passive earth pressure coefficient (Kp) can be calculated using Rankine's theory as:
Kp = (1 + sinφ) / (1 - sinφ)
Calculation:
1. Calculation of active earth pressure coefficient (Ka):
φ = 0 (for saturated clay)
Ka = (1 - sinφ) / (1 + sinφ) = (1 - 0) / (1 + 0) = 1
2. Calculation of active lateral earth pressure (Pa):
Pa = (1/2) * γsat * H2 * Ka = (1/2) * 17.2 * 7^2 * 1 = 509.6 kN/m
3. Calculation of passive earth pressure coefficient (Kp):
Kp = (1 + sinφ) / (1 - sinφ) = (1 + 0) / (1 - 0) = 1
4. Calculation of passive lateral earth pressure (Pp):
Pp = (1/2) * γsat * H2 * Kp = (1/2) * 17.2 * 7^2 * 1 = 509.6 kN/m
5. Calculation of difference in active lateral forces on the wall:
Difference = Pa - Pp = 509.6 - 509.6 = 0 kN/m
Therefore, before the occurrence of tension cracks, the difference in active lateral forces on the wall is 0 kN/m.
Conclusion:
The difference in the active lateral forces on the wall, before the occurrence of tension cracks, is 0 kN/m.
- Height of retaining wall (H) = 7 m
- Saturated unit weight of backfill (γsat) = 17.2 kN/m3
- Undrained cohesion of backfill (cu) = 20 kPa
Active Lateral Earth Pressure:
The active lateral earth pressure is given by the equation:
Pa = (1/2) * γsat * H2 * Ka
where,
Pa = Active lateral earth pressure
γsat = Saturated unit weight of backfill
H = Height of retaining wall
Ka = Active earth pressure coefficient
Active Earth Pressure Coefficient:
The active earth pressure coefficient (Ka) can be calculated using Rankine's theory as:
Ka = (1 - sinφ) / (1 + sinφ)
where,
φ = Angle of internal friction of the backfill
Tension Cracks:
Tension cracks occur when the lateral earth pressure exceeds the tensile strength of the soil. In this case, the backfill is saturated clay, which has negligible tensile strength. Therefore, tension cracks are likely to occur when the active lateral earth pressure exceeds the passive lateral earth pressure.
Passive Lateral Earth Pressure:
The passive lateral earth pressure is given by the equation:
Pp = (1/2) * γsat * H2 * Kp
where,
Pp = Passive lateral earth pressure
γsat = Saturated unit weight of backfill
H = Height of retaining wall
Kp = Passive earth pressure coefficient
Passive Earth Pressure Coefficient:
The passive earth pressure coefficient (Kp) can be calculated using Rankine's theory as:
Kp = (1 + sinφ) / (1 - sinφ)
Calculation:
1. Calculation of active earth pressure coefficient (Ka):
φ = 0 (for saturated clay)
Ka = (1 - sinφ) / (1 + sinφ) = (1 - 0) / (1 + 0) = 1
2. Calculation of active lateral earth pressure (Pa):
Pa = (1/2) * γsat * H2 * Ka = (1/2) * 17.2 * 7^2 * 1 = 509.6 kN/m
3. Calculation of passive earth pressure coefficient (Kp):
Kp = (1 + sinφ) / (1 - sinφ) = (1 + 0) / (1 - 0) = 1
4. Calculation of passive lateral earth pressure (Pp):
Pp = (1/2) * γsat * H2 * Kp = (1/2) * 17.2 * 7^2 * 1 = 509.6 kN/m
5. Calculation of difference in active lateral forces on the wall:
Difference = Pa - Pp = 509.6 - 509.6 = 0 kN/m
Therefore, before the occurrence of tension cracks, the difference in active lateral forces on the wall is 0 kN/m.
Conclusion:
The difference in the active lateral forces on the wall, before the occurrence of tension cracks, is 0 kN/m.
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
A rigid smooth retaining wall of height 7 m with vertical backface retains saturated clay as backfill. The saturated unit weight and undrained cohesion of the backfill are 17.2 kN/m3 and 20 kPa, respectively. The difference in the active lateral forces on the wall (in kN per meter length of wall, up to decimal places), before and after the occurrence of tension cracks is _________Correct answer is '(46.72)'. Can you explain this answer?
Question Description
A rigid smooth retaining wall of height 7 m with vertical backface retains saturated clay as backfill. The saturated unit weight and undrained cohesion of the backfill are 17.2 kN/m3 and 20 kPa, respectively. The difference in the active lateral forces on the wall (in kN per meter length of wall, up to decimal places), before and after the occurrence of tension cracks is _________Correct answer is '(46.72)'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A rigid smooth retaining wall of height 7 m with vertical backface retains saturated clay as backfill. The saturated unit weight and undrained cohesion of the backfill are 17.2 kN/m3 and 20 kPa, respectively. The difference in the active lateral forces on the wall (in kN per meter length of wall, up to decimal places), before and after the occurrence of tension cracks is _________Correct answer is '(46.72)'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rigid smooth retaining wall of height 7 m with vertical backface retains saturated clay as backfill. The saturated unit weight and undrained cohesion of the backfill are 17.2 kN/m3 and 20 kPa, respectively. The difference in the active lateral forces on the wall (in kN per meter length of wall, up to decimal places), before and after the occurrence of tension cracks is _________Correct answer is '(46.72)'. Can you explain this answer?.
A rigid smooth retaining wall of height 7 m with vertical backface retains saturated clay as backfill. The saturated unit weight and undrained cohesion of the backfill are 17.2 kN/m3 and 20 kPa, respectively. The difference in the active lateral forces on the wall (in kN per meter length of wall, up to decimal places), before and after the occurrence of tension cracks is _________Correct answer is '(46.72)'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A rigid smooth retaining wall of height 7 m with vertical backface retains saturated clay as backfill. The saturated unit weight and undrained cohesion of the backfill are 17.2 kN/m3 and 20 kPa, respectively. The difference in the active lateral forces on the wall (in kN per meter length of wall, up to decimal places), before and after the occurrence of tension cracks is _________Correct answer is '(46.72)'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rigid smooth retaining wall of height 7 m with vertical backface retains saturated clay as backfill. The saturated unit weight and undrained cohesion of the backfill are 17.2 kN/m3 and 20 kPa, respectively. The difference in the active lateral forces on the wall (in kN per meter length of wall, up to decimal places), before and after the occurrence of tension cracks is _________Correct answer is '(46.72)'. Can you explain this answer?.
Solutions for A rigid smooth retaining wall of height 7 m with vertical backface retains saturated clay as backfill. The saturated unit weight and undrained cohesion of the backfill are 17.2 kN/m3 and 20 kPa, respectively. The difference in the active lateral forces on the wall (in kN per meter length of wall, up to decimal places), before and after the occurrence of tension cracks is _________Correct answer is '(46.72)'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of A rigid smooth retaining wall of height 7 m with vertical backface retains saturated clay as backfill. The saturated unit weight and undrained cohesion of the backfill are 17.2 kN/m3 and 20 kPa, respectively. The difference in the active lateral forces on the wall (in kN per meter length of wall, up to decimal places), before and after the occurrence of tension cracks is _________Correct answer is '(46.72)'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A rigid smooth retaining wall of height 7 m with vertical backface retains saturated clay as backfill. The saturated unit weight and undrained cohesion of the backfill are 17.2 kN/m3 and 20 kPa, respectively. The difference in the active lateral forces on the wall (in kN per meter length of wall, up to decimal places), before and after the occurrence of tension cracks is _________Correct answer is '(46.72)'. Can you explain this answer?, a detailed solution for A rigid smooth retaining wall of height 7 m with vertical backface retains saturated clay as backfill. The saturated unit weight and undrained cohesion of the backfill are 17.2 kN/m3 and 20 kPa, respectively. The difference in the active lateral forces on the wall (in kN per meter length of wall, up to decimal places), before and after the occurrence of tension cracks is _________Correct answer is '(46.72)'. Can you explain this answer? has been provided alongside types of A rigid smooth retaining wall of height 7 m with vertical backface retains saturated clay as backfill. The saturated unit weight and undrained cohesion of the backfill are 17.2 kN/m3 and 20 kPa, respectively. The difference in the active lateral forces on the wall (in kN per meter length of wall, up to decimal places), before and after the occurrence of tension cracks is _________Correct answer is '(46.72)'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A rigid smooth retaining wall of height 7 m with vertical backface retains saturated clay as backfill. The saturated unit weight and undrained cohesion of the backfill are 17.2 kN/m3 and 20 kPa, respectively. The difference in the active lateral forces on the wall (in kN per meter length of wall, up to decimal places), before and after the occurrence of tension cracks is _________Correct answer is '(46.72)'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup