A steel pipe with an outside diameter of 3 in. and an inside diameter of 2.56 in. supports the loadings shown. Assume x1 = 16 in., x2 = 5 in., Px = 4600 lb, Py = 1900 Ib, P; = 3000 Ib, and T= 3300 lb-ft. (a) Determine the normal and shear stresses o,, Tyy on the side of the pipe at point K. (b) Determine the principal stresses (op1 > Op2) and maximum in-plane shear stress magnitude Tmax at point K, and show the orientation of these stresses in an appropriate sketch.

A steel pipe with an outside diameter of 3 in. and an inside diameter of 2.56 in. supports the loadings shown. Assume x1 = 16 in., x2 = 5 in., Px = 4600 lb, Py = 1900 Ib, P; = 3000 Ib, and T= 3300 lb-ft. (a) Determine the normal and shear stresses o,, Tyy on the side of the pipe at point K. (b) Determine the principal stresses (op1 > Op2) and maximum in-plane shear stress magnitude Tmax at point K, and show the orientation of these stresses in an appropriate sketch.

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

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A steel pipe with an outside diameter of 3 in. and an inside diameter of 2.56 in. supports the loadings shown.
Assume x1 = 16 in., x2 = 5 in., Px = 4600 Ib, Py = 1900 Ib, Pz = 3000 Ib, and T= 3300 lb-ft.
(a) Determine the normal and shear stresses o,, Ty on the side of the pipe at point K.
(b) Determine the principal stresses (o,1 > op2) and maximum in-plane shear stress magnitude Tmax at point K, and show the
orientation of these stresses in an appropriate sketch.
H
K
T
P:
X1
P
x2
Py
Answers:
ksi.
On =
i
ksi.
Txy
i
ksi.
Op1 = i
ksi.
Op2 = i
ksi.
i
Tmax

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Find the value of maximum principal stress Maximum shear stress=80 MPa Minimum principal stress-30 MPa
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