Answered: Using transformation equations of plane…

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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Using transformation equations of plane stress, determine the normal and shear stress components for X’-axis located 0.5 radians clockwise from x-axis. The non-zero stress components are given as follows, σx= 200 MPa, σy= 100 MPa, τxy= -50 MPa.

Expert Solution

Given data:

The clockwise angle between the x’-axis and the x-axis is, $θ = 0.5 rad \times (\frac{180 °}{π}) = 28.65 °$
The stress component in the x-axis is, $σ_{x} = 200 MPa$
The stress component in the y-axis is, $σ_{y} = 100 MPa$
The shear stress in the xy plane is, $τ_{x y} = - 50 MPa$

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