Need help with this Mechanics of Materials review How to draw the element with the numbers (c) Use Mohr’s circle to find the principal stresses and the angle through which you have to rotate the original element to get the principal stresses. In the figure provided, draw the element that has the principal stresses and show the angle of rotation as well as the stresses. (d). Use Mohr’s circle to find the maximum in-plane shear stress and the angle through which you have to rotate the original element. In the figure provided, draw the element and show the angle of rotation as well as the stresses.
Need help with this Mechanics of Materials review How to draw the element with the numbers (c) Use Mohr’s circle to find the principal stresses and the angle through which you have to rotate the original element to get the principal stresses. In the figure provided, draw the element that has the principal stresses and show the angle of rotation as well as the stresses. (d). Use Mohr’s circle to find the maximum in-plane shear stress and the angle through which you have to rotate the original element. In the figure provided, draw the element and show the angle of rotation as well as the stresses.
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.26P: A circular region of radius R/2 is cut out from the circular region of radius R as shown. For what...
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How to draw the element with the numbers
(c) Use Mohr’s circle to find the principal stresses and the angle through which you have to rotate the original element to get the principal stresses. In the figure provided, draw the element that has the principal stresses and show the angle of rotation as well as the stresses.
(d). Use Mohr’s circle to find the maximum in-plane shear stress and the angle through which you have to rotate the original element. In the figure provided, draw the element and show the angle of rotation as well as the stresses.
Transcribed Image Text:(b)
The Mohrs's circle for the above centre and radius is given below,
(-20,30)
xy
(8,0)
b
C(20,0) 20
R
I
T
xy
(0₁.0)
A(60,-30)
Transcribed Image Text:e. Your task is to find the normal and shear stresses in
the plane represented by the dashed line.
In order to find the proper values for the normal and
shear stresses, what value do you have to use for 0 in the
stress transformation equations below? No explanation
necessary, just list the proper angle.
Ox - ay
+
40 MPa
ax + ay
2
Oxt =
cos 20+ Txy sin 20
2
Txry
-(0*2 ay) s
sin 20 + Txy cos 20
0 =
In your Mohr's circle from part b, indicate the point that represents this state of stress. Label this point
Qin Mohr's circle. Label it clearly and show any necessary angles to make clear where Q is located.
Suppose you want to find the state of stress in the plane perpendicular to the plane represented by the
dashed line. In Mohr's circle on the first page of the problem, indicate the point that represents this
state of stress. Label this point S in Mohr's circle. What are the values for the normal and shear stress for
this plane? Show your math.
==
20 MPa
30 MPa
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