Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal a vertical planes at the point are 5x = 36 MPa, Sy = 87 MPa, and Sxy= 25 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) (c) Compute the absolute shear stress at the point. Answer: (a) Op1= op2 = Tmax in-plane= Sxy (c) Tmax abs= MPa MPa MPa (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) MPa

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 7.3.8P: An element in plane stress from the fuselage of an airplane is subjected to compressive stresses of...
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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 5x = 36 MPa, Sy = 87 MPa, and Sxy = 25 MPa.
(a) Determine the principal stresses and the maximum in-plane shear stress acting at the point.
(b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
(c) Compute the absolute shear stress at the point.
Answer:
(a) Op1 =
Op2 =
Tmax in-plane
Sxy
(c) Tmax abs
MPa
MPa
MPa
(b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
MPa
Transcribed Image Text:Current Attempt in Progress 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 = 36 MPa, Sy = 87 MPa, and Sxy = 25 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) (c) Compute the absolute shear stress at the point. Answer: (a) Op1 = Op2 = Tmax in-plane Sxy (c) Tmax abs MPa MPa MPa (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) MPa
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