A steel pipe with an outside diameter of 4.67 in. and an inside diameter of 4.25 in. supports the loadings shown. Assume x₁ = 17 in., x₂ = 6 in., Px = 3600 lb, Py = 1900 lb, P₂ = 2000 lb, and T = 4500 lb-ft. (a) Determine the normal and shear stresses On, Tay on the side of the pipe at point K. (b) Determine the principal stresses (0,1 > 0,2) and maximum in-plane shear stress magnitude 7max at point K, and show the orientation of these stresses in an appropriate sketch. H T Answers: On= i Txy= i Op1= i Op2 = i Tmax= X1 Ps ksi. ksi. ksi. ksi. ksi. Py Ps

Mechanics of Materials (MindTap Course List)
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Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.5.16P: A sign is supported by a pipe (see figure) having an outer diameter 110 mm and inner diameter 90 mm....
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A steel pipe with an outside diameter of 4.67 in. and an inside diameter of 4.25 in. supports the loadings shown.
Assume x₁ = 17 in., x2 = 6 in., Px = 3600 lb, Py = 1900 lb, P₂ = 2000 lb, and T = 4500 lb-ft.
(a) Determine the normal and shear stresses On, Txy on the side of the pipe at point K.
(b) Determine the principal stresses (0,1 > 2) and maximum in-plane shear stress magnitude Tmax at point K, and show the
orientation of these stresses in an appropriate sketch.
H
T
Answers:
On = i
Txy=
op1 =
Op2 = i
Tmax = i
M.
X1
K
Ps
ksi.
ksi.
ksi.
ksi.
ksi.
Px
Transcribed Image Text:A steel pipe with an outside diameter of 4.67 in. and an inside diameter of 4.25 in. supports the loadings shown. Assume x₁ = 17 in., x2 = 6 in., Px = 3600 lb, Py = 1900 lb, P₂ = 2000 lb, and T = 4500 lb-ft. (a) Determine the normal and shear stresses On, Txy on the side of the pipe at point K. (b) Determine the principal stresses (0,1 > 2) and maximum in-plane shear stress magnitude Tmax at point K, and show the orientation of these stresses in an appropriate sketch. H T Answers: On = i Txy= op1 = Op2 = i Tmax = i M. X1 K Ps ksi. ksi. ksi. ksi. ksi. Px
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