PROBLEM 5. A water tank is required to be constructed with a circular foundation having a diameter of 20m founded at a depth of 2m below the ground surface. The estimated distributed load on the foundation is 306 kN/m'. Assuming that the subsoil extends to a great depth and is isotropic and homogeneous, determine the stresses z at points ) z = 6m, r = 0, (i) z = 6m, r = 10m, (i) z = 20m, 7 0 and (iv) z = 20m, r = 10m, where r is the radial distance from the central axis. Use the Influence Diagram below to calculate the I. Neglect the effect of the depth of the foundation on the stresses. Influence value 1, (x100) 1.0 10 100 1.25 1.0 0.0 0.25 0.75 Note: Numbers on curves indicate value of r/Ro B = 2R. 10 io HR 8- 9- 10 Fig. 1. Influence Diagram for the Vertical Normal Stress at Various Points Under a Uniformly Loaded Circular Area (Foster and Ablvio, 1954) Depth z/R

PROBLEM 5. A water tank is required to be constructed with a circular foundation having a diameter of 20m founded at a depth of 2m below the ground surface. The estimated distributed load on the foundation is 306 kN/m'. Assuming that the subsoil extends to a great depth and is isotropic and homogeneous, determine the stresses z at points ) z = 6m, r = 0, (i) z = 6m, r = 10m, (i) z = 20m, 7 0 and (iv) z = 20m, r = 10m, where r is the radial distance from the central axis. Use the Influence Diagram below to calculate the I. Neglect the effect of the depth of the foundation on the stresses. Influence value 1, (x100) 1.0 10 100 1.25 1.0 0.0 0.25 0.75 Note: Numbers on curves indicate value of r/Ro B = 2R. 10 io HR 8- 9- 10 Fig. 1. Influence Diagram for the Vertical Normal Stress at Various Points Under a Uniformly Loaded Circular Area (Foster and Ablvio, 1954) Depth z/R

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

PROBLEM 5.
A water tank is required to be constructed with a circular foundation having a diameter of 20m
founded at a depth of 2m below the ground surface. The estimated distributed load on the
foundation is 300 kN/m. Assuming that the subsoil extends to a great depth and is isotropic and
homogeneous, determine the stresses z at points (i) z = 6m, r = 0, (i) z = 6m, r= 10m, (i) z =
20m, r = 0 and (iv) z = 20m, r = 10m, where r is the radial distance from the central axis. Use the
Influence Diagram below to calculate the I. Neglect the effect of the depth of the foundation on
the stresses.
Influence value I, (x100)
1.0
10
100
.25
1.5
1.0
0.0
0.25
2.5
0.75
3.
Note: Numbers on curves
indicate value of r/Ro
B = 2R,
10
o, = 1.4
8
10
Fig. 1. Influence Diagram for the Vertical Normal Stress at Various Points
Under a Uniformly Loaded Circular Area (Foster and Ablvin, 1954)
Depth z/R.

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