A steel pipe with an outside diameter of 115 mm and an inside diameter of 105 mm supports the loadings shown. Assume a = 510 mm, b = 230 mm, Px = 20 kN, Py = 16 kN, and P, = 11 kN. (a) Determine the normal and shear stresses on the top surface of the pipe at point H. (b)Determine the principal stresses and maximum in-plane shear stress magnitude at point H and show the orientation of these stresses on an appropriate sketch. y P: H K b

A steel pipe with an outside diameter of 115 mm and an inside diameter of 105 mm supports the loadings shown. Assume a = 510 mm, b = 230 mm, Px = 20 kN, Py = 16 kN, and P, = 11 kN. (a) Determine the normal and shear stresses on the top surface of the pipe at point H. (b)Determine the principal stresses and maximum in-plane shear stress magnitude at point H and show the orientation of these stresses on an appropriate sketch. y P: H K b

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

A steel pipe with an outside diameter of 115 mm and an inside diameter of 105 mm supports the loadings shown.
Assume a = 510 mm, b = 230 mm, P = 20 kN, P, = 16 kN, and P; = 11 kN.
(a) Determine the normal and shear stresses on the top surface of the pipe at point H.
(b)Determine the principal stresses and maximum in-plane shear stress magnitude at point H and show the orientation of these
stresses on an appropriate sketch.
a
P:
P
H
K

(a) Summarize the stresses as they act on an element on the top surface of the pipe at point H with sides parallel to x and z
directions. Use the standard naming convention.
Answers:
Ox =
MPa,
0z =
117.249
MPа,
Tyz =
! MPa.

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