2- The square plate is deformed into the shape shown by the dashed line. Determine the average normal strain along diagonal AC and the shear strain at point E with respect to the x and y axes. y. 300 mm D 3 mm E 300 mm B 3 mm 4 mm

2- The square plate is deformed into the shape shown by the dashed line. Determine the average normal strain along diagonal AC and the shear strain at point E with respect to the x and y axes. y. 300 mm D 3 mm E 300 mm B 3 mm 4 mm

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 39PQ: A uniform wire (Y = 2.0 1011 N/m2) is subjected to a longitudinal tensile stress of 4.0 107 N/m2....

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Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

2- The square plate is deformed into the shape shown by the dashed line. Determine the average
normal strain along diagonal AC and the shear strain at point E with respect to the x and y axes.
y.
300 mm
D
A
3 mm
KE
300 mm
B
X
14 mm
3 mm

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Step 1: Finding the length of the diagonal AC and A'C':

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Step 2: Finding the value of the angle θ:

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Step 3: Calculating the average normal strain along the diagonal and the shear strain of point E:

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