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 = 40 ksi, Sy = 16 ksi, and Sxy = 54 ksi. (a) Determine the principal stresses (0,1 > 2) and the maximum in-plane shear stress Tmax acting at the point. (b) Find the smallest rotation angle , (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: Opl = Op2 = i Tmax = i 0p = i Sxy ksi. ksi. ksi.

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 = 40 ksi, Sy = 16 ksi, and Sxy = 54 ksi. (a) Determine the principal stresses (0,1 > 2) and the maximum in-plane shear stress Tmax acting at the point. (b) Find the smallest rotation angle , (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: Opl = Op2 = i Tmax = i 0p = i Sxy ksi. ksi. ksi.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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