A 7,607 Ib force (Q) is applied over a circular rigid plate of radius (r) 5 inches sitting on an elastic two- layer system, as shown in the figure.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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A 7,607 Ib force (Q) is applied over a circular rigid plate of radius (r) 5 inches sitting on an elastic two-
layer system, as shown in the figure.
r
E,
E,
Assuming the two layers to be incompressible, and knowing that the thickness of the first layer (h) is 10 in,
the Young's modulus of the second layer (E2) is 4,000 psi, and the measured surface deflection (w) is
0.01 in, determine:
1. The Young's modulus of layer 1
2. If only a lower quality asphalt concrete is available (E, = 400,000 psi), what should h1 be increased to
in order to attain the same 0.01 in surface deflection?
Transcribed Image Text:A 7,607 Ib force (Q) is applied over a circular rigid plate of radius (r) 5 inches sitting on an elastic two- layer system, as shown in the figure. r E, E, Assuming the two layers to be incompressible, and knowing that the thickness of the first layer (h) is 10 in, the Young's modulus of the second layer (E2) is 4,000 psi, and the measured surface deflection (w) is 0.01 in, determine: 1. The Young's modulus of layer 1 2. If only a lower quality asphalt concrete is available (E, = 400,000 psi), what should h1 be increased to in order to attain the same 0.01 in surface deflection?
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