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A body is loaded elastically so that strain in y-direction (e) = 0 and o₂ = 0. Take o and as finite. What is the value of strain in z-direction (e₂) in terms of stress in x-direction (o), Young's modulus (E), and Poisson's ratio (v)? oy (b) ₂ (a) e₂ = (c) ez = ov(1+2v) E LLI o(1+ v) E חח (d) ez = o,v(1-4v) E -0,v(1+ v) E

A body is loaded elastically so that strain in y-direction (e) = 0 and o₂ = 0. Take o and as finite. What is the value of strain in z-direction (e₂) in terms of stress in x-direction (o), Young's modulus (E), and Poisson's ratio (v)? oy (b) ₂ (a) e₂ = (c) ez = ov(1+2v) E LLI o(1+ v) E חח (d) ez = o,v(1-4v) E -0,v(1+ v) E

Materials Science And Engineering Properties
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter9: Time, Temperature, And Mechanical Properties
Section: Chapter Questions
Problem 9.3P
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A body is loaded elastically so that strain in y-direction (e) = 0 and o₂ = 0. Take o and as finite. What is the value of strain in z-direction (e₂) in terms of stress in x-direction (o), Young's modulus (E), and Poisson's ratio (v)? Oy (a) e₂ = (c) ez ov(1+2v) LLI E o(1+ v) E חח (b) ₂ (d) ez = = ov(1-4v) E -0₂v(1 + v) E
Transcribed Image Text:A body is loaded elastically so that strain in y-direction (e) = 0 and o₂ = 0. Take o and as finite. What is the value of strain in z-direction (e₂) in terms of stress in x-direction (o), Young's modulus (E), and Poisson's ratio (v)? Oy (a) e₂ = (c) ez ov(1+2v) LLI E o(1+ v) E חח (b) ₂ (d) ez = = ov(1-4v) E -0₂v(1 + v) E
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