According to the elastic theory, the vertical stress induced by a point load of magnitude Q [kN] on the surface of a semi-infinite soil mass can be estimated by the expression: 0.477 QN Ap = z2 where: 1 N = 212.5 [1+ () r = horizontal distance of the point from the load z = depth of the point at which stress is induced A point load Q = 1500 kN is applied at the ground surface. a) Evaluate the stress in the soil caused by the point load at a depth of 2.5 m directly below the load b) Evaluate the stress in the soil caused by the point load at a depth of 5 m directly below the load c) Evaluate the stress at a depth of 2.5 m and a horizontal distance of 3 m from the point load
According to the elastic theory, the vertical stress induced by a point load of magnitude Q [kN] on the surface of a semi-infinite soil mass can be estimated by the expression: 0.477 QN Ap = z2 where: 1 N = 212.5 [1+ () r = horizontal distance of the point from the load z = depth of the point at which stress is induced A point load Q = 1500 kN is applied at the ground surface. a) Evaluate the stress in the soil caused by the point load at a depth of 2.5 m directly below the load b) Evaluate the stress in the soil caused by the point load at a depth of 5 m directly below the load c) Evaluate the stress at a depth of 2.5 m and a horizontal distance of 3 m from the point load
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![According to the elastic theory, the vertical stress induced by a point load of
magnitude Q [kN] on the surface of a semi-infinite soil mass can be estimated
by the expression:
0.477 QN
Ар
z2
where:
1
N =
2.5ך2
[1+ ()]
r = horizontal distance of the point from the load
z = depth of the point at which stress is induced
A point load Q = 1500 kN is applied at the ground surface.
a) Evaluate the stress in the soil caused by the point load at a depth of 2.5
m directly below the load
b) Evaluate the stress in the soil caused by the point load at a depth of 5
m directly below the load
c) Evaluate the stress at a depth of 2.5 m and a horizontal distance of 3
m from the point load](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36e13833-0859-4b50-a9b1-c4bb58c2455a%2F2ac0ad69-ee8f-478e-bf9e-008ac7456a5b%2Fibbskh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:According to the elastic theory, the vertical stress induced by a point load of
magnitude Q [kN] on the surface of a semi-infinite soil mass can be estimated
by the expression:
0.477 QN
Ар
z2
where:
1
N =
2.5ך2
[1+ ()]
r = horizontal distance of the point from the load
z = depth of the point at which stress is induced
A point load Q = 1500 kN is applied at the ground surface.
a) Evaluate the stress in the soil caused by the point load at a depth of 2.5
m directly below the load
b) Evaluate the stress in the soil caused by the point load at a depth of 5
m directly below the load
c) Evaluate the stress at a depth of 2.5 m and a horizontal distance of 3
m from the point load
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