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Consider a point in a structural member that is subjected to plane stress. Normal vertical planes at the point are S, = 4 ksi, S,= 20 ksi, and Sy= 15 ksi. (a) Determine the principal stresses (opl > o,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)

Consider a point in a structural member that is subjected to plane stress. Normal vertical planes at the point are S, = 4 ksi, S,= 20 ksi, and Sy= 15 ksi. (a) Determine the principal stresses (opl > o,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)

Elements Of Electromagnetics
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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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, = 4 ksi, S, = 20 ksi, and Sy= 15 ksi. (a) Determine the principal stresses (opl > o,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 Current Attempt in Progress show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) S Answers: i ksi, Opl = ksi. Op2 = i ksi. Tmax =
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 S, = 4 ksi, S, = 20 ksi, and Sy= 15 ksi. (a) Determine the principal stresses (opl > o,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 Current Attempt in Progress show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) S Answers: i ksi, Opl = ksi. Op2 = i ksi. Tmax =
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