Answered: he center of a rectangular area at the…

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

The center of a rectangular area at the ground surface has Cartesian coordinates (0, 0), and one corner has coordinates (7, 18). All dimensions are in meters. The area carries a uniform pressure of 135 kPa. Estimate the stresses at a depth of 15 meters below the ground surface at each of the following locations: (0, 0), (0, 18), (7, 0), (7, 18), and (12, 28).
a. Obtain the values by the Boussinesq method
b. Compare the results with those of the 2:1 method
c. Comment on the results
Hint: In the Boussinesq method, the equations attached can be used.

Corner of a uniformly loaded rectangular area:
90
mn
[√m
2π /m² +n² + 1
0%
=
=
qI with I
-
(1²2² +1 +²2² +1
1
1
+
m² + 1 n² +1
mn
2/1/213
2π √m² + n² + 1
+ tan
-1
mn
√m² + n²+1
+tan
-1
mn
√m² + n² + 1

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