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 S,-21 ksi, Sy=9 ksi, and Swy= 24 ksi. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (op > op2) 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) S. Answers: Opl = ksi. Op2 = ksi. Tmax = ksi. %3D

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 S,-21 ksi, Sy=9 ksi, and Swy= 24 ksi. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (op > op2) 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) S. Answers: Opl = ksi. Op2 = ksi. Tmax = ksi. %3D

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 7.4.19P: -18 through 7.4-25 An clement in plane stress is subjected to stresses sx,??y, and r. (see figure)....

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