Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizo vertical planes at the point are Sx = 26.9 ksi, Sy = 6.8 ksi, and Sxy= 19.0 ksi. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) On a piece of paper, show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). For the sketch, ca 0p, the angle between the x axis and the principal stress orientation. Also, calculate avg, the normal stress on planes of maxim plane shear stress. (c) Compute the absolute maximum shear stress at the point. Answers: (a) Opl = Op2 = (0) Tmax = (b) 0,= Oavg = || Sxy T i i Mi i ¡ ksi ksi ksi 0 ksi ksi

Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizo vertical planes at the point are Sx = 26.9 ksi, Sy = 6.8 ksi, and Sxy= 19.0 ksi. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) On a piece of paper, show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). For the sketch, ca 0p, the angle between the x axis and the principal stress orientation. Also, calculate avg, the normal stress on planes of maxim plane shear stress. (c) Compute the absolute maximum shear stress at the point. Answers: (a) Opl = Op2 = (0) Tmax = (b) 0,= Oavg = || Sxy T i i Mi i ¡ ksi ksi ksi 0 ksi ksi

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 Sx = 26.9 ksi, Sy = 6.8 ksi, and Sxy= 19.0 ksi.
(a) Determine the principal stresses and the maximum in-plane shear stress acting at the point.
(b) On a piece of paper, show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). For the sketch, calculate
0p, the angle between the x axis and the principal stress orientation. Also, calculate avg, the normal stress on planes of maximum in-
plane shear stress.
(c) Compute the absolute maximum shear stress at the point.
Answers:
(a) Opl =
Op2 =
Tmax =
(b) 0,=
Oavg
=
(c) Tabs max
Sxy
=
i
i
Mi
i
i
ksi
ksi
ksi
0
ksi
ksi

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