Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 17 ksi, Sy = 19 ksi, and Sxy = 17 ksi. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (σpl > σ p2) and the maximum in-plane shear stress Tmax acting at the point. (c) Find the smallest rotation angle 0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) Sy Sxy Sx Answers: бр1 == i σp2 = Hi Tmax = i Өр = MI i ksi. ksi. ksi. o

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
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Problem 7.2.8P: An element in plane stress on the fuselage of an airplane (figure part a) is subjected to...
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Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and
vertical planes at the point are Sx = 17 ksi, Sy = 19 ksi, and Sxy = 17 ksi.
(a) Draw Mohr's circle for this state of stress.
(b) Determine the principal stresses (σpl > σ p2) and the maximum in-plane shear stress Tmax acting at the point.
(c) Find the smallest rotation angle 0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then
show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
Sy
Sxy
Sx
Answers:
бр1 == i
σp2 =
Hi
Tmax = i
Өр
=
MI
i
ksi.
ksi.
ksi.
o
Transcribed Image Text:Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 17 ksi, Sy = 19 ksi, and Sxy = 17 ksi. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (σpl > σ p2) and the maximum in-plane shear stress Tmax acting at the point. (c) Find the smallest rotation angle 0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) Sy Sxy Sx Answers: бр1 == i σp2 = Hi Tmax = i Өр = MI i ksi. ksi. ksi. o
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