3.2 For ox=-50 MPa, oy - 30 MPa, and o₂ = 30 MPa, calculate the normalstrains if E =50,000 MPa and v= 0.25.

Answered: For ox=-50 MPa, oy=-30 MPa, and o₂ = 30…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

3.2

For ox=-50 MPa, oy - 30 MPa, and o₂ = 30 MPa, calculate the normal
strains if E =50,000 MPa and v= 0.25.

Expert Solution

Step 1

Introduction

The amount that an item expands or contracts as a result of an applied load is measured in terms of strain. The symbol epsilon designates normal strain, which happens when an item stretches in response to a normal tension (i.e., one that is perpendicular to a surface). Positive values represent tensile strains, whereas negative values represent compressive strains.

Given data:

$\begin{array}{rcl} stress in x - directioin {(σ)}_{x} & = & - 50 MPa \\ stress in y - direction {(σ)}_{y} & = & - 30 MPa \\ stress in z - directioin {(σ)}_{z} & = & 30 MPa \\ the young' s modulus (E) & = & 50000 MPa \\ the poission' s ratio (μ) & = & 0.25 \end{array}$

Determine:

The normal strain $(ε)$

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