1.  What is the increase in stress at point that is 2.5 meters beneath a corner of a 1.5 meter x 2 meter footing carrying a total uniform load of 75 kPa?  a. 133.26 kPa b. 229.23 kPa c. 253.14 kPa d. 211.25 kPa 2. What is the increase in stress at point that is 2.5 meters beneath the center of a 3 meter x 4 meter footing carrying a total uniform load of 75 kPa?  a. 916.94 kPa b. 533.04 kPa c. 245.50 kPa d. 922.54 kPa 3. What uniform load will produce an increase in stress of 36 kPa at point that is 2.5 meters beneath the center of a 3 meter x 4 meter footing?  a. 7.504 kPa b. 1.123 kPa c. 2.945 kPa d. 5.213 kPa

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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The increase in stress under a corner of a rectangular loading is given by Boussinesq formula which is as follows:
1.  What is the increase in stress at point that is 2.5 meters beneath a corner of a 1.5 meter x 2 meter footing carrying a total uniform load of 75 kPa? 
a. 133.26 kPa
b. 229.23 kPa
c. 253.14 kPa
d. 211.25 kPa
2. What is the increase in stress at point that is 2.5 meters beneath the center of a 3 meter x 4 meter footing carrying a total uniform load of 75 kPa? 
a. 916.94 kPa
b. 533.04 kPa
c. 245.50 kPa
d. 922.54 kPa
3. What uniform load will produce an increase in stress of 36 kPa at point that is 2.5 meters beneath the center of a 3 meter x 4 meter footing? 
a. 7.504 kPa
b. 1.123 kPa
c. 2.945 kPa
d. 5.213 kPa

Ao = ql2
Where:
q= uniform load per unit area
I2
2mn ym2 +n? +1 m² +
+n?
+ 2
m²
+n? + m?n2 + 1 m2 +n2 +1
2mn/m2 + n2 +1
m² + n² – m²n² + 1
+ arctan
M = X
N = Y/z
XX Y are footing dimension
X
AO
Transcribed Image Text:Ao = ql2 Where: q= uniform load per unit area I2 2mn ym2 +n? +1 m² + +n? + 2 m² +n? + m?n2 + 1 m2 +n2 +1 2mn/m2 + n2 +1 m² + n² – m²n² + 1 + arctan M = X N = Y/z XX Y are footing dimension X AO
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