View Policies Current Attempt in Progress 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 5x = 4 ksi, Sy= 19 ksi, and Sxy = 17 ksi. (a) Determine the principal stresses (01 > 2) and the maximum in-plane shear stress max 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) Answers: %pl = Op2 = Sxy ksi. ksi.

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 7.4.7P: • - 7.4-7 An element on the surface of a drive shaft is in pure shear and is subjected to stresses...
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View Policies
Current Attempt in Progress
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 5x = 4 ksi, 5y = 19 ksi, and 5xy = 17 ksi.
(a) Determine the principal stresses (0,1 > 0,2) 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)
Answers:
%pl =
op2 =
Tmax =
||
Sxy
ksi.
ksi.
ksi.
G
Transcribed Image Text:View Policies Current Attempt in Progress 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 5x = 4 ksi, 5y = 19 ksi, and 5xy = 17 ksi. (a) Determine the principal stresses (0,1 > 0,2) 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) Answers: %pl = op2 = Tmax = || Sxy ksi. ksi. ksi. G
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