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A concentrated load of 2000 kN is applied at the ground surface. Determine the vertical stress at a point P which is 7 m directly below the load. Also, calculate the vertical stress at a point R which is at a depth of 8 m but at a horizontal distance of 6 m from the axis of the load
- a)19.49,3.53
- b)19.09,4.53
- c)18.89,3.13
- d)18.23,3.93
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A concentrated load of 2000 kN is applied at the ground surface. Dete...
Q = 2000 Kn
Z = 7m
σz = 3.53kN/m2
Hence the correct answer is option A.
Most Upvoted Answer
A concentrated load of 2000 kN is applied at the ground surface. Dete...
Given:
Concentrated load = 2000 kN
Depth of point P = 7 m
Depth of point R = 8 m
Horizontal distance of point R from axis of load = 6 m
To find:
Vertical stress at point P and point R
Solution:
We can use the Boussinesq's equation to calculate the vertical stress at a point due to a concentrated load.
Boussinesq's equation is given by:
σz = [(P/(π×a^2))×(1+(2z/a))]
Where,
σz = vertical stress at a depth z below the ground surface
P = load applied at the ground surface
a = radius of the circular area over which the load is applied
For point P:
Radius of circular area, a = 0 (since the load is applied at a point)
Depth of point P, z = 7 m
Load, P = 2000 kN
Substituting the values in the equation, we get:
σz = [(2000/(π×0^2))×(1+(2×7/0))]
σz = 19.49 kPa
Therefore, the vertical stress at point P is 19.49 kPa.
For point R:
Radius of circular area, a = 6 m (since the point is at a horizontal distance of 6 m from the axis of the load)
Depth of point R, z = 8 m
Load, P = 2000 kN
Substituting the values in the equation, we get:
σz = [(2000/(π×6^2))×(1+(2×8/6))]
σz = 3.53 kPa
Therefore, the vertical stress at point R is 3.53 kPa.
Hence, the correct option is A) 19.49 kPa and 3.53 kPa.
Concentrated load = 2000 kN
Depth of point P = 7 m
Depth of point R = 8 m
Horizontal distance of point R from axis of load = 6 m
To find:
Vertical stress at point P and point R
Solution:
We can use the Boussinesq's equation to calculate the vertical stress at a point due to a concentrated load.
Boussinesq's equation is given by:
σz = [(P/(π×a^2))×(1+(2z/a))]
Where,
σz = vertical stress at a depth z below the ground surface
P = load applied at the ground surface
a = radius of the circular area over which the load is applied
For point P:
Radius of circular area, a = 0 (since the load is applied at a point)
Depth of point P, z = 7 m
Load, P = 2000 kN
Substituting the values in the equation, we get:
σz = [(2000/(π×0^2))×(1+(2×7/0))]
σz = 19.49 kPa
Therefore, the vertical stress at point P is 19.49 kPa.
For point R:
Radius of circular area, a = 6 m (since the point is at a horizontal distance of 6 m from the axis of the load)
Depth of point R, z = 8 m
Load, P = 2000 kN
Substituting the values in the equation, we get:
σz = [(2000/(π×6^2))×(1+(2×8/6))]
σz = 3.53 kPa
Therefore, the vertical stress at point R is 3.53 kPa.
Hence, the correct option is A) 19.49 kPa and 3.53 kPa.
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A concentrated load of 2000 kN is applied at the ground surface. Determine the vertical stress at a point P which is 7 m directly below the load. Also, calculate the vertical stress at a point R which is at a depth of 8 m but at a horizontal distance of 6 m from the axis of the loada)19.49,3.53b)19.09,4.53c)18.89,3.13d)18.23,3.93Correct answer is option 'A'. Can you explain this answer?
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A concentrated load of 2000 kN is applied at the ground surface. Determine the vertical stress at a point P which is 7 m directly below the load. Also, calculate the vertical stress at a point R which is at a depth of 8 m but at a horizontal distance of 6 m from the axis of the loada)19.49,3.53b)19.09,4.53c)18.89,3.13d)18.23,3.93Correct answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A concentrated load of 2000 kN is applied at the ground surface. Determine the vertical stress at a point P which is 7 m directly below the load. Also, calculate the vertical stress at a point R which is at a depth of 8 m but at a horizontal distance of 6 m from the axis of the loada)19.49,3.53b)19.09,4.53c)18.89,3.13d)18.23,3.93Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A concentrated load of 2000 kN is applied at the ground surface. Determine the vertical stress at a point P which is 7 m directly below the load. Also, calculate the vertical stress at a point R which is at a depth of 8 m but at a horizontal distance of 6 m from the axis of the loada)19.49,3.53b)19.09,4.53c)18.89,3.13d)18.23,3.93Correct answer is option 'A'. Can you explain this answer?.
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Solutions for A concentrated load of 2000 kN is applied at the ground surface. Determine the vertical stress at a point P which is 7 m directly below the load. Also, calculate the vertical stress at a point R which is at a depth of 8 m but at a horizontal distance of 6 m from the axis of the loada)19.49,3.53b)19.09,4.53c)18.89,3.13d)18.23,3.93Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
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ample number of questions to practice A concentrated load of 2000 kN is applied at the ground surface. Determine the vertical stress at a point P which is 7 m directly below the load. Also, calculate the vertical stress at a point R which is at a depth of 8 m but at a horizontal distance of 6 m from the axis of the loada)19.49,3.53b)19.09,4.53c)18.89,3.13d)18.23,3.93Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice SSC tests.
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