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,- 2750 psi, S, - 1100 psi, and Sy 1950 psi. Assume ß-53 (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. Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16). (c) Determine the normal and shear stresses on the indicated plane and show these stresses on a sketch. (d) Determine the absolute maximum shear stress at the point. Sxy

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,- 2750 psi, S, - 1100 psi, and Sy 1950 psi. Assume ß-53 (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. Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16). (c) Determine the normal and shear stresses on the indicated plane and show these stresses on a sketch. (d) Determine the absolute maximum shear stress at the point. Sxy

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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Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

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, 2750 psi, S, = 1100 psi, and Sy 1950 psi. Assume ß - 53°.
(a) Draw Mohr's circle for this state of stress.
%3D
(b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. Show these stresses on an appropriate
sketch (e.g., see Fig. 12.15 or Fig. 12.16).
(c) Determine the normal and shear stresses on the indicated plane and show these stresses on a sketch.
(d) Determine the absolute maximum shear stress at the point.
Sxy
Answer:
(a) Draw Mohr's Circle for this state of stress.
(b) op1-
psi
Op2 -
psi
Tmax in-plane
psi
(c) on
psi
Tnt
psi
(d) Tabs max
psi
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