Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 480 psi in size. (a) Determine the stresses o, Oy, and the magnitude of Tyand show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). y

Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 480 psi in size. (a) Determine the stresses o, Oy, and the magnitude of Tyand show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). y

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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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, = 26 MPa, Sy= 67 MPa, and Sxy= 23 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. Sxy Answer: MPa (a) Op1 = op2 = MPa MPa Tmax in-plane (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) MPa (c) Tmax abs=
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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 Sx = 24 MPa, Sy = 81 MPa, and Sxy = 16 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.
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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 = 68 MPa, Sy=97 MPa, and Sxy = 27 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. Sxy Answer: (a) Op1 = MPa MPa Op2 = MPa Tmax in-plane= (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) MPa (c) Tmax abs
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