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.

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.

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

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

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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:

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