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

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.4.21P: -18 through 7.4-25 An clement in plane stress is subjected to stresses a,, ay., and axy. (see...
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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
Transcribed Image Text: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.
Transcribed Image Text:(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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