Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A concentrated load of 500 kN is applied on a...
Start Learning for Free
A concentrated load of 500 kN is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of the loading, as per Boussinesq’s theory, would be _______.
Correct answer is '4'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A concentrated load of 500 kN is applied on an elastic half space. The...
Boussinesq’s theory 
Most Upvoted Answer
A concentrated load of 500 kN is applied on an elastic half space. The...
The Boussinesq equation can be used to calculate the increase in vertical normal stress at different depths along the point of loading on an elastic half space. The equation is:
Δσ = (q / π) * [(z2 - z1) / r^2]
Where:
Δσ = Increase in vertical normal stress
q = Applied load
z1 = Depth 1
z2 = Depth 2
r = Distance from the point of loading to the point of interest
In this case, the applied load is 500 kN, the depth at 2m is z1 = 2m, the depth at 4m is z2 = 4m, and the distance from the point of loading to the point of interest is r.
To find the ratio of the increase in vertical normal stress at depths of 2m and 4m, we can divide the equation for depth 4m by the equation for depth 2m:
(Δσ2m / Δσ4m) = [(q / π) * (z2 - z1) / r^2] / [(q / π) * (z4 - z1) / r^2]
The π, r^2, and q cancel out, so the equation simplifies to:
(Δσ2m / Δσ4m) = (z2 - z1) / (z4 - z1)
Plugging in the values, we get:
(Δσ2m / Δσ4m) = (4m - 2m) / (4m - 2m)
(Δσ2m / Δσ4m) = 2m / 2m
(Δσ2m / Δσ4m) = 1
Therefore, the ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of loading, as per Boussinesq, is 1.
Δσ = (q / π) * [(z2 - z1) / r^2]
Where:
Δσ = Increase in vertical normal stress
q = Applied load
z1 = Depth 1
z2 = Depth 2
r = Distance from the point of loading to the point of interest
In this case, the applied load is 500 kN, the depth at 2m is z1 = 2m, the depth at 4m is z2 = 4m, and the distance from the point of loading to the point of interest is r.
To find the ratio of the increase in vertical normal stress at depths of 2m and 4m, we can divide the equation for depth 4m by the equation for depth 2m:
(Δσ2m / Δσ4m) = [(q / π) * (z2 - z1) / r^2] / [(q / π) * (z4 - z1) / r^2]
The π, r^2, and q cancel out, so the equation simplifies to:
(Δσ2m / Δσ4m) = (z2 - z1) / (z4 - z1)
Plugging in the values, we get:
(Δσ2m / Δσ4m) = (4m - 2m) / (4m - 2m)
(Δσ2m / Δσ4m) = 2m / 2m
(Δσ2m / Δσ4m) = 1
Therefore, the ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of loading, as per Boussinesq, is 1.
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 concentrated load of 500 kN is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of the loading, as per Boussinesq’s theory, would be _______.Correct answer is '4'. Can you explain this answer?
Question Description
A concentrated load of 500 kN is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of the loading, as per Boussinesq’s theory, would be _______.Correct answer is '4'. 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 concentrated load of 500 kN is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of the loading, as per Boussinesq’s theory, would be _______.Correct answer is '4'. 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 concentrated load of 500 kN is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of the loading, as per Boussinesq’s theory, would be _______.Correct answer is '4'. Can you explain this answer?.
A concentrated load of 500 kN is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of the loading, as per Boussinesq’s theory, would be _______.Correct answer is '4'. 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 concentrated load of 500 kN is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of the loading, as per Boussinesq’s theory, would be _______.Correct answer is '4'. 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 concentrated load of 500 kN is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of the loading, as per Boussinesq’s theory, would be _______.Correct answer is '4'. Can you explain this answer?.
Solutions for A concentrated load of 500 kN is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of the loading, as per Boussinesq’s theory, would be _______.Correct answer is '4'. 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 concentrated load of 500 kN is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of the loading, as per Boussinesq’s theory, would be _______.Correct answer is '4'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A concentrated load of 500 kN is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of the loading, as per Boussinesq’s theory, would be _______.Correct answer is '4'. Can you explain this answer?, a detailed solution for A concentrated load of 500 kN is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of the loading, as per Boussinesq’s theory, would be _______.Correct answer is '4'. Can you explain this answer? has been provided alongside types of A concentrated load of 500 kN is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of the loading, as per Boussinesq’s theory, would be _______.Correct answer is '4'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A concentrated load of 500 kN is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of the loading, as per Boussinesq’s theory, would be _______.Correct answer is '4'. 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!
within 7 days!
Takes less than 10 seconds to signup