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X2 ✗1 T X3 u = -kx₂x3 v=kxxz w=0

X2 ✗1 T X3 u = -kx₂x3 v=kxxz w=0

Welding: Principles and Applications (MindTap Course List)
Welding: Principles and Applications (MindTap Course List)
8th Edition
ISBN:9781305494695
Author:Larry Jeffus
Publisher:Larry Jeffus
Chapter11: Gas Metal Arc Welding
Section: Chapter Questions
Problem 19R: What is mill scale?
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A solid, isotropic circular cylinder has Young’s modulus E, Poisson’s ratio nu and
radius b. It is restrained at the left end and is subjected to a torque T at the right end as shown
below. Assume that the deformations are small. The displacements in the cylinder (as a function of position (x1,x2,x3)) are guessed as follows
(where k is a constant):

(a) Write down the strain matrix.
(b) Write down the stress matrix.
(c) Find the constant k using the boundary conditions

X2 ✗1 T X3
Transcribed Image Text:X2 ✗1 T X3
u = -kx₂x3 v=kxxz w=0
Transcribed Image Text:u = -kx₂x3 v=kxxz w=0
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