Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A circular footing of diameter 4m is loaded w...
Start Learning for Free
A circular footing of diameter 4m is loaded with 200 kN/m2 of load intensity. The vertical stress increment (kN/m2) at 6m depth below the footing will be?
Correct answer is between '29,30'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A circular footing of diameter 4m is loaded with 200 kN/m2of load inte...
Concept:
Vertical stress increment is given by:
r = radius of circular area
z = depth of soil stata
q = uniformly distributed circular load
Calculation:
z = 6 m
q = 200 kN/m2
σz = 29.2 kN/m2
Most Upvoted Answer
A circular footing of diameter 4m is loaded with 200 kN/m2of load inte...
Given:
Diameter of footing (D) = 4m
Load intensity (q) = 200 kN/m2
Depth of point (z) = 6m
To find:
Vertical stress increment at 6m depth below the footing.
Solution:
We can use Boussinesq's equation to find the vertical stress increment at a point below the footing.
Boussinesq's equation is given by:
δσz = (q*D/π) * [(1 + ν)/(1 - ν)] * [(z + d)/((z + d)2 + (r2))]3/2
where,
δσz = vertical stress increment at a depth z below the footing
q = load intensity
D = diameter of footing
ν = Poisson's ratio of soil
z = depth of point below the footing
d = depth of footing below the ground surface
r = radial distance from the center of the footing to the point below which stress is to be determined
For circular footing, we can take d = D/2.
At a depth of 6m below the footing, the value of d + z = 6m.
To find the value of r, we can use the Pythagorean theorem.
r2 = (D/2)2 + z2
r2 = (4/2)2 + 62
r2 = 22
r = 2√2
Putting the values in Boussinesq's equation, we get:
δσz = (200*4/π) * [(1 + 0.3)/(1 - 0.3)] * [(6 + 2)/(62 + (2√2)2)]3/2
δσz = 29.22 kN/m2 (approx)
Therefore, the vertical stress increment at a depth of 6m below the footing is 29.22 kN/m2 (approx).
Answer: 29,30.
Diameter of footing (D) = 4m
Load intensity (q) = 200 kN/m2
Depth of point (z) = 6m
To find:
Vertical stress increment at 6m depth below the footing.
Solution:
We can use Boussinesq's equation to find the vertical stress increment at a point below the footing.
Boussinesq's equation is given by:
δσz = (q*D/π) * [(1 + ν)/(1 - ν)] * [(z + d)/((z + d)2 + (r2))]3/2
where,
δσz = vertical stress increment at a depth z below the footing
q = load intensity
D = diameter of footing
ν = Poisson's ratio of soil
z = depth of point below the footing
d = depth of footing below the ground surface
r = radial distance from the center of the footing to the point below which stress is to be determined
For circular footing, we can take d = D/2.
At a depth of 6m below the footing, the value of d + z = 6m.
To find the value of r, we can use the Pythagorean theorem.
r2 = (D/2)2 + z2
r2 = (4/2)2 + 62
r2 = 22
r = 2√2
Putting the values in Boussinesq's equation, we get:
δσz = (200*4/π) * [(1 + 0.3)/(1 - 0.3)] * [(6 + 2)/(62 + (2√2)2)]3/2
δσz = 29.22 kN/m2 (approx)
Therefore, the vertical stress increment at a depth of 6m below the footing is 29.22 kN/m2 (approx).
Answer: 29,30.
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 circular footing of diameter 4m is loaded with 200 kN/m2of load intensity. The vertical stress increment (kN/m2) at 6m depth below the footing will be?Correct answer is between '29,30'. Can you explain this answer?
Question Description
A circular footing of diameter 4m is loaded with 200 kN/m2of load intensity. The vertical stress increment (kN/m2) at 6m depth below the footing will be?Correct answer is between '29,30'. 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 circular footing of diameter 4m is loaded with 200 kN/m2of load intensity. The vertical stress increment (kN/m2) at 6m depth below the footing will be?Correct answer is between '29,30'. 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 circular footing of diameter 4m is loaded with 200 kN/m2of load intensity. The vertical stress increment (kN/m2) at 6m depth below the footing will be?Correct answer is between '29,30'. Can you explain this answer?.
A circular footing of diameter 4m is loaded with 200 kN/m2of load intensity. The vertical stress increment (kN/m2) at 6m depth below the footing will be?Correct answer is between '29,30'. 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 circular footing of diameter 4m is loaded with 200 kN/m2of load intensity. The vertical stress increment (kN/m2) at 6m depth below the footing will be?Correct answer is between '29,30'. 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 circular footing of diameter 4m is loaded with 200 kN/m2of load intensity. The vertical stress increment (kN/m2) at 6m depth below the footing will be?Correct answer is between '29,30'. Can you explain this answer?.
Solutions for A circular footing of diameter 4m is loaded with 200 kN/m2of load intensity. The vertical stress increment (kN/m2) at 6m depth below the footing will be?Correct answer is between '29,30'. 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 circular footing of diameter 4m is loaded with 200 kN/m2of load intensity. The vertical stress increment (kN/m2) at 6m depth below the footing will be?Correct answer is between '29,30'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A circular footing of diameter 4m is loaded with 200 kN/m2of load intensity. The vertical stress increment (kN/m2) at 6m depth below the footing will be?Correct answer is between '29,30'. Can you explain this answer?, a detailed solution for A circular footing of diameter 4m is loaded with 200 kN/m2of load intensity. The vertical stress increment (kN/m2) at 6m depth below the footing will be?Correct answer is between '29,30'. Can you explain this answer? has been provided alongside types of A circular footing of diameter 4m is loaded with 200 kN/m2of load intensity. The vertical stress increment (kN/m2) at 6m depth below the footing will be?Correct answer is between '29,30'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A circular footing of diameter 4m is loaded with 200 kN/m2of load intensity. The vertical stress increment (kN/m2) at 6m depth below the footing will be?Correct answer is between '29,30'. 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