At a point in a stressed body, the principal stresses are oriented as shown in the figure. Use Mohr's circle to determine: (a) the stresses on plane a – a. (b) the stresses on the horizontal and vertical planes at the point. (c) the absolute maximum shear stress at the point. Assume the principal stress magnitudes are lopi| = 7.52 ksi and |op2| = 30.50 ksi. Also, b = 3.10, so that 0, = 36.1 °. d. θ, 3 tan '(b) 450

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.4.19P: -18 through 7.4-25 An clement in plane stress is subjected to stresses sx,??y, and r. (see figure)....
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Determine the normal stress on plane a – a. Use the correct sign based on the sign convention for normal stress.
Og-a =
i
ksi
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Part 3
Determine the shear stress on plane a – a. Enter the magnitude of the shear stress, so enter a positive value for Ta-a.Then,
choose whether this shear stress rotates the wedge element clockwise or counterclockwise in this case.
Ta-a
ksi
Ta-a rotates the wedge element:
O counterclockwise
O clockwise
Transcribed Image Text:Determine the normal stress on plane a – a. Use the correct sign based on the sign convention for normal stress. Og-a = i ksi Save for Later Attempts: 0 of 1 used Submit Answer Part 3 Determine the shear stress on plane a – a. Enter the magnitude of the shear stress, so enter a positive value for Ta-a.Then, choose whether this shear stress rotates the wedge element clockwise or counterclockwise in this case. Ta-a ksi Ta-a rotates the wedge element: O counterclockwise O clockwise
At a point in a stressed body, the principal stresses are oriented as shown in the figure. Use Mohr's circle to determine:
(a) the stresses on plane a – a.
(b) the stresses on the horizontal and vertical planes at the point.
(c) the absolute maximum shear stress at the point.
Assume the principal stress magnitudes are lopi| = 7.52 ksi and Jop2| = 30.50 ksi. Also, b = 3.10, so that 0, = 36.1 °.
0, = tan-(b)
45°
a
Part 1
On a piece of paper, draw Mohr's circle for this state of stress. Enter the location of the center Cof Mohr's circle on the horizontal,
or o, axis. Also, enter the radius Rof Mohr's circle.
C =
i
ksi
R =
i
ksi
Transcribed Image Text:At a point in a stressed body, the principal stresses are oriented as shown in the figure. Use Mohr's circle to determine: (a) the stresses on plane a – a. (b) the stresses on the horizontal and vertical planes at the point. (c) the absolute maximum shear stress at the point. Assume the principal stress magnitudes are lopi| = 7.52 ksi and Jop2| = 30.50 ksi. Also, b = 3.10, so that 0, = 36.1 °. 0, = tan-(b) 45° a Part 1 On a piece of paper, draw Mohr's circle for this state of stress. Enter the location of the center Cof Mohr's circle on the horizontal, or o, axis. Also, enter the radius Rof Mohr's circle. C = i ksi R = i ksi
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