The state of in-plane stress at a point on an element of material is shown. Let |σx| = 370 MPa, |σy| = 130 MPa, and |τxy| = 85.0 MPa. Use this information to represent the state of stress of the same point that is rotated through an angle of θ = 25.0. i.Using the element sectioned at plane a-a and the rotated coordinate system shown, determine the normal and shear stresses, and Ta'y', respectively, acting on plane a-a.ii.90-0athe0-90-XσxUsing the element sectioned at plane b-b and the rotated coordinate system shown, determine the normal and shear stresses acting on plane b-b.bӨ

σx=370 MPaσy=130 MPaτxy=85 MPaθ=25 °then,σx=σx=370 MPaσy=-σy=-130 MPaτxy=-τxy=-85 MPaAngle from…

Answered: The state of in-plane stress at a point…

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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The state of in-plane stress at a point on an element of material is shown. Let |σx| = 370 MPa, |σy| = 130 MPa, and |τxy| = 85.0 MPa. Use this information to represent the state of stress of the same point that is rotated through an angle of θ = 25.0.

i.
Using the element sectioned at plane a-a and the rotated coordinate system shown, determine the normal and shear stresses, and Ta'y', respectively, acting on plane a-a.
ii.
90-0
a
the
0
-90-
X
σx
Using the element sectioned at plane b-b and the rotated coordinate system shown, determine the normal and shear stresses acting on plane b-b.
b
Ө

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