a) Using the expressions for the linear strain tensor, compute the value of the shear strain €12- b) From €12, calculate the engineering shear strain 7/12- c) Compute the average engineering shear strain 12 using the definition of engineer- ing shear strain and compare it with the 12 calculated in (b).

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...
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2. A rectangular piece of jello is subjected to simple shear as shown in Fig. 2.
(a) Using the expressions for the linear strain tensor, compute the value of the shear
strain €12.
(b) From €12, calculate the engineering shear strain 12.
(c) Compute the average engineering shear strain 712 using the definition of engineer-
ing shear strain and compare it with the 12 calculated in (b).
A
X₂
150 mm
B
3 mm
200 mm
3 mm
X₁
Figure 2: A rectangular piece of jello being sheared.
Transcribed Image Text:2. A rectangular piece of jello is subjected to simple shear as shown in Fig. 2. (a) Using the expressions for the linear strain tensor, compute the value of the shear strain €12. (b) From €12, calculate the engineering shear strain 12. (c) Compute the average engineering shear strain 712 using the definition of engineer- ing shear strain and compare it with the 12 calculated in (b). A X₂ 150 mm B 3 mm 200 mm 3 mm X₁ Figure 2: A rectangular piece of jello being sheared.
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