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 = 5 ksi, Sy = 39 ksi, and Sxy = 13 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) Sxy Sx Answers: %pl = Op2 = Tmax = Op 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 5x = 5 ksi, Sy = 39 ksi, and Sxy = 13 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) Sxy Sx Answers: %pl = Op2 = Tmax = Op ksi. ksi. ksi.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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