he 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
he 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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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.
Transcribed Image Text: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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Step 1: Introducing given data
VIEWStep 2: Influence factor (I) for for points (0, 0), (0, 18), (7, 0) & (7, 18)
VIEWStep 3: Influence factor (I) for for point (12, 28)
VIEWStep 4: a. Calculate stresses at a depth of 15 m at points
VIEWStep 5: b. Calculate stress using 2:1 distribution method
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