Problem 1. Prismatic cylindrical bar AB of height H is mounted on a rigid base. The bar has diameter, D, Young's modulus, E, mass density, p, Poisson's ratio, v and thermal expansion coefficient, a. It is acted upon by the force of its own weight due to gravitational acceleration, g, acting downward, and has a temperature change that varies from AT, at the base to zero at the top. In terms of the given quantities, find: D, E, ρ, ν, α H a) The elongation, 8, of the bar, The normal stress, o(y), b) The axial strain, ɛ(y), and c) d) The change in diameter, AD(y). ATO
Problem 1. Prismatic cylindrical bar AB of height H is mounted on a rigid base. The bar has diameter, D, Young's modulus, E, mass density, p, Poisson's ratio, v and thermal expansion coefficient, a. It is acted upon by the force of its own weight due to gravitational acceleration, g, acting downward, and has a temperature change that varies from AT, at the base to zero at the top. In terms of the given quantities, find: D, E, ρ, ν, α H a) The elongation, 8, of the bar, The normal stress, o(y), b) The axial strain, ɛ(y), and c) d) The change in diameter, AD(y). ATO
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Problem 1. Prismatic cylindrical bar AB of height H is
mounted on a rigid base. The bar has diameter, D,
Young's modulus, E, mass density, p, Poisson's ratio, v
and thermal expansion coefficient, a. It is acted upon by
the force of its own weight due to gravitational
acceleration, g, acting downward, and has a temperature
change that varies from AT, at the base to zero at the top.
In terms of the given quantities, find:
D,E, ρ, ν, α
H
The elongation, 8, of the bar,
a)
The normal stress, o(y),
b)
The axial strain, ɛ(y), and
c)
(p
The change in diameter, AD(y).
ATO
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