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, - 10 ksi, S, = 23 ksi, and S,y = 25 ksi. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (c) Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16). (d) Determine the absolute maximum shear stress at the point.

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 7.2.8P: An element in plane stress on the fuselage of an airplane (figure part a) is subjected to...
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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, = 10 ksi, S, = 23 ksi, and Sy = 25 ksi.
(a) Draw Mohr's circle for this state of stress.
(b) Determine the principal stresses and the maximum in-plane shear stress acting at the point.
(c) Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16).
(d) Determine the absolute maximum shear stress at the point.
Sxy
Oavg=
16.5
ksi
R =
25.8311
ksi
Op1 = 42.3311
ksi
Op2 = -9.3311
ksi
Tmax in-plane
ksi
25.8311
Part 3
Calculate the magnitude of the clockwise angle between point x and op2. Show the stresses on an appropriate sketch (e.g, see
Figure 12.15 or Figure 12.16).
Answer:
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, = 10 ksi, S, = 23 ksi, and Sy = 25 ksi. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (c) Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16). (d) Determine the absolute maximum shear stress at the point. Sxy Oavg= 16.5 ksi R = 25.8311 ksi Op1 = 42.3311 ksi Op2 = -9.3311 ksi Tmax in-plane ksi 25.8311 Part 3 Calculate the magnitude of the clockwise angle between point x and op2. Show the stresses on an appropriate sketch (e.g, see Figure 12.15 or Figure 12.16). Answer:
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