A hollow, metal circular pipe ABC (see figure) supports a load P, = 113.2 kips acting at the top. P A dAB LAB P2 В Cap plate dBC IBC A second load P, = 22 kips is uniformly distributed around the cap plate at B. The diameters and thicknesses of the upper and lower parts of the pipe are das = 1.75 in., taa = 0.5 in., dar = 2.45 in., and tar = 0.375 in., respectively. The modulus of elasticity is 28,000 ksi. When both loads are fully applied, the wall thickness of pipe segment BC increases by 200 x 10-6 in. Assume the material behaves linearly elastically. (a) Find the increase in the inner diameter of pipe segment BC (in inches). in. (b) Find Poisson's ratio for the metal. (c) Find the increase in the wall thickness of pipe segment AB (in inches). in. Find the increase in the inner diameter of segment AB (in inches). in.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A hollow, metal circular pipe ABC (see figure) supports a load P, = 113.2 kips acting at the top.
P1
A
dAB
tAB
P2
B
Саp plate
dBC
tBC
A second load P, = 22 kips is uniformly distributed around the cap plate at B. The diameters and thicknesses of the upper and lower parts of the pipe are daR = 1.75 in., tAR = 0.5 in., dar = 2.45 in., and tac = 0.375 in., respectively. The modulus of elasticity is
28,000 ksi. When both loads are fully applied, the wall thickness of pipe segment BC increases by 200 x 10-6 in. Assume the material behaves linearly elastically.
(a) Find the increase in the inner diameter of pipe segment BC (in inches).
in.
(b) Find Poisson's ratio for the metal.
(c) Find the increase in the wall thickness of pipe segment AB (in inches).
in.
Find the increase in the inner diameter of segment AB (in inches).
in.
Transcribed Image Text:A hollow, metal circular pipe ABC (see figure) supports a load P, = 113.2 kips acting at the top. P1 A dAB tAB P2 B Саp plate dBC tBC A second load P, = 22 kips is uniformly distributed around the cap plate at B. The diameters and thicknesses of the upper and lower parts of the pipe are daR = 1.75 in., tAR = 0.5 in., dar = 2.45 in., and tac = 0.375 in., respectively. The modulus of elasticity is 28,000 ksi. When both loads are fully applied, the wall thickness of pipe segment BC increases by 200 x 10-6 in. Assume the material behaves linearly elastically. (a) Find the increase in the inner diameter of pipe segment BC (in inches). in. (b) Find Poisson's ratio for the metal. (c) Find the increase in the wall thickness of pipe segment AB (in inches). in. Find the increase in the inner diameter of segment AB (in inches). in.
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