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.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.3.1P: The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the...
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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
Transcribed Image Text: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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