EXAMPLE 10.16 Consider a uniformly loaded flexible circular area on the ground surface, as shown in Fig. 10.31. Given: R = 3 m and uniform load q = 100 kN/m². Calculate and plot the increase in vertical stress at depths of 1.5, 3, 4.5, 6, and 12 m below the ground surface for points at (a) r = 0 and (b) r = 4.5 m. ▪ R=3 m ▪ B = 6 m q = 100 kN/m² ▪ r = 4.5, x/B = 0.75 ■ Depth/B, z/B ■ 1.5 m: 0.25 ▪ 3.0 m: 0.5 ■ 4.5 m: 0.75 ▪ 6.0 m: 1 12 m: 2 ▪ ▪ I 1.5 m: 0.07 3.0 m: 0.1 4.5 m: 0.13 6.0 m: 0.12 ▪ 12 m: 0.06 ▪ ▪ 1.0 H 0.5 Diameter = B 0.5 2.0 z/B 0.9 0.8 0.7 0.6 b.s 04 Copyright © 2011 Pearson Education, inc publishing a Pe H 0.5 <= 0.1 1.0 xg/B

EXAMPLE 10.16 Consider a uniformly loaded flexible circular area on the ground surface, as shown in Fig. 10.31. Given: R = 3 m and uniform load q = 100 kN/m². Calculate and plot the increase in vertical stress at depths of 1.5, 3, 4.5, 6, and 12 m below the ground surface for points at (a) r = 0 and (b) r = 4.5 m. ▪ R=3 m ▪ B = 6 m q = 100 kN/m² ▪ r = 4.5, x/B = 0.75 ■ Depth/B, z/B ■ 1.5 m: 0.25 ▪ 3.0 m: 0.5 ■ 4.5 m: 0.75 ▪ 6.0 m: 1 12 m: 2 ▪ ▪ I 1.5 m: 0.07 3.0 m: 0.1 4.5 m: 0.13 6.0 m: 0.12 ▪ 12 m: 0.06 ▪ ▪ 1.0 H 0.5 Diameter = B 0.5 2.0 z/B 0.9 0.8 0.7 0.6 b.s 04 Copyright © 2011 Pearson Education, inc publishing a Pe H 0.5 <= 0.1 1.0 xg/B

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

EXAMPLE 10.16
Consider a uniformly loaded flexible circular area on the ground surface, as shown in
Fig. 10.31. Given: R = 3 m and uniform load q = 100 kN/m².
Calculate and plot the increase in vertical stress at depths of 1.5, 3, 4.5, 6, and
12 m below the ground surface for points at (a) r = 0 and (b) r = 4.5 m.
▪
▪
R=3 m
B = 6 m
■
q = 100 kN/m²
▪ r = 4.5, x/B = 0.75
Depth/B, z/B
■ 1.5 m: 0.25
▪ 3.0 m: 0.5
■ 4.5 m: 0.75
▪
6.0 m: 1
12 m: 2
▪
▪ I
1.5 m: 0.07
3.0 m: 0.1
4.5 m: 0.13
▪
6.0 m: 0.12
▪ 12 m: 0.06
▪
▪
1.0
H
0.5
Diameter = B
0.5
2.0
z/B
0.9
0.8
0.7
0.6
b.s
Copyright © 2011 Pearson Education, inc publishing P
H
0.5
10 =
1.0
xg/B

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