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.rE,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) is0.01 in, determine:1. The Young's modulus of layer 12. If only a lower quality asphalt concrete is available (E, = 400,000 psi), what should h1 be increased toin order to attain the same 0.01 in surface deflection?

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Answered: A 7,607 Ib force (Q) is applied over a…

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

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ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

Question

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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