Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizo vertical planes at the point are Sx = 26.9 ksi, Sy = 6.8 ksi, and Sxy= 19.0 ksi. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) On a piece of paper, show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). For the sketch, ca 0p, the angle between the x axis and the principal stress orientation. Also, calculate avg, the normal stress on planes of maxim plane shear stress. (c) Compute the absolute maximum shear stress at the point. Answers: (a) Opl = Op2 = (0) Tmax = (b) 0,= Oavg = || Sxy T i i Mi i ¡ ksi ksi ksi 0 ksi ksi

Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizo vertical planes at the point are Sx = 26.9 ksi, Sy = 6.8 ksi, and Sxy= 19.0 ksi. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) On a piece of paper, show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). For the sketch, ca 0p, the angle between the x axis and the principal stress orientation. Also, calculate avg, the normal stress on planes of maxim plane shear stress. (c) Compute the absolute maximum shear stress at the point. Answers: (a) Opl = Op2 = (0) Tmax = (b) 0,= Oavg = || Sxy T i i Mi i ¡ ksi ksi ksi 0 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 7.3.26P: An element in plane stress on the surface of an automobile drive shaft (see figure) is subjected to...

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