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 = 7 ksi, Sy = 21 ksi, and Sy = 12 ksi. (a) Determine the principal stresses ( op1 > op2) and the maximum in-plane shear stress Tmax acting at the point. (b) 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) Sxy Sx Answers: Opl = i ksi. Op2 = i ksi. Tmax = i ksi. O, = i

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.3.8P: An element in plane stress from the fuselage of an airplane is subjected to compressive stresses of...
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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 = 7 ksi, Sy = 21 ksi, and Sy = 12 ksi.
(a) Determine the principal stresses ( op1 > op2) and the maximum in-plane shear stress Tmax acting at the point.
(b) 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)
Sxy
Sx
Answers:
Opl =
i
ksi.
Op2 =
i
ksi.
Tmax =
i
ksi.
O, =
i
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 = 7 ksi, Sy = 21 ksi, and Sy = 12 ksi. (a) Determine the principal stresses ( op1 > op2) and the maximum in-plane shear stress Tmax acting at the point. (b) 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) Sxy Sx Answers: Opl = i ksi. Op2 = i ksi. Tmax = i ksi. O, = i
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