A solid truncated cone is subject to an axial force P as shown. The exact elongation is d = PL/ (2pc²E). Replace the cone by n equal thickness circular cylinders and derive the expression as a function of n, P, L, C, E. draw a graph showing variation in elongation d with respect to n values. Take n from 1 to 100. Given that the P = 1 kip, L = 12 inch, C= 4 inch, E = 30x10° psi. B 2c

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.2.17P: A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight...
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A solid truncated cone is subject to an axial force P as shown.
The exact elongation is d = PL/ (2pc²E). Replace the cone by
n equal thickness circular cylinders and derive the
expression as a function of n, P, L, C, E. draw a graph
showing variation in elongation d with respect to n values.
Take n from 1 to 100. Given that the P = 1 kip, L = 12
inch, C= 4 inch, E = 30x10° psi.
B
2c
Transcribed Image Text:A solid truncated cone is subject to an axial force P as shown. The exact elongation is d = PL/ (2pc²E). Replace the cone by n equal thickness circular cylinders and derive the expression as a function of n, P, L, C, E. draw a graph showing variation in elongation d with respect to n values. Take n from 1 to 100. Given that the P = 1 kip, L = 12 inch, C= 4 inch, E = 30x10° psi. B 2c
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