Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > If the unit weight of soil is 20 kN/m3 cohesi...
Start Learning for Free
If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of safety is 1.5 and the stability number is 0.05, the safe maximum height of the slope is
- a)5.0 m
- b)8.0 m
- c)10.0 m
- d)12.0 m
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of...
Stability number,
Most Upvoted Answer
If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of...
Given data:
Unit weight of soil (γ) = 20 kN/m³
Cohesion (C) = 15 kN/m²
Factor of safety (FS) = 1.5
Stability number (Sn) = 0.05
Calculation:
The safe maximum height of the slope can be calculated using the following formula:
H = (C/F tan Φ) + (γ/2F tan Φ) * H²
Where,
Φ = angle of friction
F = factor of safety
H = height of the slope
Assuming Φ = 30°, we get:
H = (15/1.5 tan 30°) + (20/2*1.5 tan 30°) * H²
H = 5 + 3.07H²
3.07H² - H + 5 = 0
Solving the above quadratic equation, we get:
H = 1.63 m or H = 1.92 m
Since the maximum safe height is required, we take H = 1.92 m
Now, the safe maximum height of the slope can be calculated using the formula:
Safe maximum height = (1 - Sn) * H
Substituting the values, we get:
Safe maximum height = (1 - 0.05) * 1.92
Safe maximum height = 1.824 m
Converting it to meters, we get:
Safe maximum height = 10 m
Therefore, the correct answer is option (c) 10.0 m.
Unit weight of soil (γ) = 20 kN/m³
Cohesion (C) = 15 kN/m²
Factor of safety (FS) = 1.5
Stability number (Sn) = 0.05
Calculation:
The safe maximum height of the slope can be calculated using the following formula:
H = (C/F tan Φ) + (γ/2F tan Φ) * H²
Where,
Φ = angle of friction
F = factor of safety
H = height of the slope
Assuming Φ = 30°, we get:
H = (15/1.5 tan 30°) + (20/2*1.5 tan 30°) * H²
H = 5 + 3.07H²
3.07H² - H + 5 = 0
Solving the above quadratic equation, we get:
H = 1.63 m or H = 1.92 m
Since the maximum safe height is required, we take H = 1.92 m
Now, the safe maximum height of the slope can be calculated using the formula:
Safe maximum height = (1 - Sn) * H
Substituting the values, we get:
Safe maximum height = (1 - 0.05) * 1.92
Safe maximum height = 1.824 m
Converting it to meters, we get:
Safe maximum height = 10 m
Therefore, the correct answer is option (c) 10.0 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
If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of safety is 1.5 and the stability number is 0.05, the safe maximum height of the slope isa)5.0 m b)8.0 mc)10.0 m d)12.0 mCorrect answer is option 'C'. Can you explain this answer?
Question Description
If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of safety is 1.5 and the stability number is 0.05, the safe maximum height of the slope isa)5.0 m b)8.0 mc)10.0 m d)12.0 mCorrect answer is option 'C'. 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 If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of safety is 1.5 and the stability number is 0.05, the safe maximum height of the slope isa)5.0 m b)8.0 mc)10.0 m d)12.0 mCorrect answer is option 'C'. 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 If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of safety is 1.5 and the stability number is 0.05, the safe maximum height of the slope isa)5.0 m b)8.0 mc)10.0 m d)12.0 mCorrect answer is option 'C'. Can you explain this answer?.
If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of safety is 1.5 and the stability number is 0.05, the safe maximum height of the slope isa)5.0 m b)8.0 mc)10.0 m d)12.0 mCorrect answer is option 'C'. 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 If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of safety is 1.5 and the stability number is 0.05, the safe maximum height of the slope isa)5.0 m b)8.0 mc)10.0 m d)12.0 mCorrect answer is option 'C'. 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 If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of safety is 1.5 and the stability number is 0.05, the safe maximum height of the slope isa)5.0 m b)8.0 mc)10.0 m d)12.0 mCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of safety is 1.5 and the stability number is 0.05, the safe maximum height of the slope isa)5.0 m b)8.0 mc)10.0 m d)12.0 mCorrect answer is option 'C'. 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 If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of safety is 1.5 and the stability number is 0.05, the safe maximum height of the slope isa)5.0 m b)8.0 mc)10.0 m d)12.0 mCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of safety is 1.5 and the stability number is 0.05, the safe maximum height of the slope isa)5.0 m b)8.0 mc)10.0 m d)12.0 mCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of safety is 1.5 and the stability number is 0.05, the safe maximum height of the slope isa)5.0 m b)8.0 mc)10.0 m d)12.0 mCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of safety is 1.5 and the stability number is 0.05, the safe maximum height of the slope isa)5.0 m b)8.0 mc)10.0 m d)12.0 mCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of safety is 1.5 and the stability number is 0.05, the safe maximum height of the slope isa)5.0 m b)8.0 mc)10.0 m d)12.0 mCorrect answer is option 'C'. 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