For the 2-Dimensional state of stress at a point represented by the following figure: (i) Determine the principle stresses "₁" and "0₂", (ii) Show the orientation of the element for the principle planes (stresses), (iii) Find the maximum in-plane shear stress, (iv) Show the orientation of the element for the maximum in-plane shear stress, and (v) Draw Mohr's circle corresponding to the state of stress at the point. Be sure to identify the angles through which the element is rotated to show the principle stresses and maximun in plane shesr stress. y 30 MPa 50 MPa 45 MPa Ans. X 0₁ = 88.1 MPa 0₂-13.1 MPa Tmax in-plane = 50.6 MPa
For the 2-Dimensional state of stress at a point represented by the following figure: (i) Determine the principle stresses "₁" and "0₂", (ii) Show the orientation of the element for the principle planes (stresses), (iii) Find the maximum in-plane shear stress, (iv) Show the orientation of the element for the maximum in-plane shear stress, and (v) Draw Mohr's circle corresponding to the state of stress at the point. Be sure to identify the angles through which the element is rotated to show the principle stresses and maximun in plane shesr stress. y 30 MPa 50 MPa 45 MPa Ans. X 0₁ = 88.1 MPa 0₂-13.1 MPa Tmax in-plane = 50.6 MPa
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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Transcribed Image Text:For the 2-Dimensional state of stress at a point represented by the following figure: (i) Determine
the principle stresses "₁" and "0₂", (ii) Show the orientation of the element for the principle
planes (stresses), (iii) Find the maximum in-plane shear stress, (iv) Show the orientation of the
element for the maximum in-plane shear stress, and (v) Draw Mohr's circle corresponding to
the state of stress at the point. Be sure to identify the angles through which the element is
rotated to show the principle stresses and maximun in plane shesr stress.
y
30 MPa
50 MPa
45 MPa
Ans.
X
0₁ = 88.1 MPa
0₂-13.1 MPa
Tmax in-plane = 50.6 MPa
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