1.7-9 A hollow, brass circular pipe ABC (see figure) supports a load P = 26.5 kips acting at the top. A. second load P, = 22.0 kips is uniformly distributed around the cap plate at B. The diameters and thick- nesses of the upper and lower parts of the pipe are dAn = 1.25 in., LA = 0.5 in., dBc = 2.25 in., and. Iạc = 0.375 in., respectively. The modulus of elasticity is 14,000 ksi. When both loads are fully applied, the wall thickness of pipe segment BC'increases by 200 x 10- in. (a) Find the increase in the inner diameter of pipe segment BC. (b) Find Poisson's ratio for the brass. (c) Find the increase in the wall thickness of pipe segment AB and the increase in the inner diame- ter of segment AB. dAB 'AB P2 Cap plate dac PROBLEM 1.7-9

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.4.14P: A hollow circular pipe (see figure} support s a load P that is uniformly distributed around a cap...
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1.7-9 A hollow, brass circular pipe ABC (see figure)
supports a load P = 26.5 kips acting at the top. A
second load P, = 22.0 kips is uniformly distributed
around the cap plate at B. The diameters and thick-
nesses of the upper and lower parts of the pipe are
dAn = 1.25 in., w = 0.5 in., dvc = 2.25 in., and
Iạc = 0.375 in., respectively. The modulus of elasticity
is 14,000 ksi. When both loads are fully applied, the wali
thickness of pipe segment BC'increases by 200 × 10- in.
(a) Find the increase in the inner diameter of pipe
segment BC.
(b) Find Poisson's ratio for the brass.
(c) Find the increase in the wall thickness of pipe
segment AB and the increase in the inner diame-
ter of segment AB.
PI
A
dAB
'AB
P2
B
Cap plate
dBc
IBC
C
PROBLEM 1.7-9
Transcribed Image Text:1.7-9 A hollow, brass circular pipe ABC (see figure) supports a load P = 26.5 kips acting at the top. A second load P, = 22.0 kips is uniformly distributed around the cap plate at B. The diameters and thick- nesses of the upper and lower parts of the pipe are dAn = 1.25 in., w = 0.5 in., dvc = 2.25 in., and Iạc = 0.375 in., respectively. The modulus of elasticity is 14,000 ksi. When both loads are fully applied, the wali thickness of pipe segment BC'increases by 200 × 10- in. (a) Find the increase in the inner diameter of pipe segment BC. (b) Find Poisson's ratio for the brass. (c) Find the increase in the wall thickness of pipe segment AB and the increase in the inner diame- ter of segment AB. PI A dAB 'AB P2 B Cap plate dBc IBC C PROBLEM 1.7-9
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