MATERIALS SCI + ENGR: INT W/ACCESS
10th Edition
ISBN: 9781119808084
Author: Callister
Publisher: WILEY
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Question
Chapter 6, Problem 28QAP
a)
To determine
The magnitude of load to produce an elongation of
b)
To determine
The deformation after the load released.
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An elastic bar of the length L and cross section area A is rigidly attached
to the ceiling of a room, and it supports a mass M. Due to the
acceleration of gravity g the rod deforms vertically. The deformation of
the rod is measured by the vertical displacement u(x) governed by the
following equations:
dx
(σ(x)) + b(x) = 0
PDE
σ(x) = Edx
du
Hooke's law
(1)
b(x) = gp=
body force per unit volume
where E is the constant Young's modulus, p is the density, and σ(x) the
axial stress in the rod.
g
* I u(x)
L
2
An elastic bar of the length L and cross section area A is rigidly attached
to the ceiling of a room, and it supports a mass M. Due to the
acceleration of gravity g the rod deforms vertically. The deformation of
the rod is measured by the vertical displacement u(x) governed by the
following equations:
dx
(σ(x)) + b(x) = 0
PDE
σ(x) = Edx
du
Hooke's law
(1)
b(x) = gp=
body force per unit volume
where E is the constant Young's modulus, p is the density, and σ(x) the
axial stress in the rod.
g
* I u(x)
L
2
Chapter 6 Solutions
MATERIALS SCI + ENGR: INT W/ACCESS
Ch. 6 - Prob. 1QAPCh. 6 - Prob. 2QAPCh. 6 - Prob. 3QAPCh. 6 - Prob. 4QAPCh. 6 - Prob. 5QAPCh. 6 - Prob. 6QAPCh. 6 - Prob. 7QAPCh. 6 - Prob. 8QAPCh. 6 - Prob. 9QAPCh. 6 - Prob. 10QAP
Ch. 6 - Prob. 11QAPCh. 6 - Prob. 12QAPCh. 6 - Prob. 13QAPCh. 6 - Prob. 14QAPCh. 6 - Prob. 15QAPCh. 6 - Prob. 16QAPCh. 6 - Prob. 17QAPCh. 6 - Prob. 18QAPCh. 6 - Prob. 19QAPCh. 6 - Prob. 20QAPCh. 6 - Prob. 21QAPCh. 6 - Prob. 22QAPCh. 6 - Prob. 23QAPCh. 6 - Prob. 24QAPCh. 6 - Prob. 25QAPCh. 6 - Prob. 26QAPCh. 6 - Prob. 27QAPCh. 6 - Prob. 28QAPCh. 6 - Prob. 29QAPCh. 6 - Prob. 30QAPCh. 6 - Prob. 31QAPCh. 6 - Prob. 32QAPCh. 6 - Prob. 33QAPCh. 6 - Prob. 34QAPCh. 6 - Prob. 35QAPCh. 6 - Prob. 36QAPCh. 6 - Prob. 37QAPCh. 6 - Prob. 38QAPCh. 6 - Prob. 39QAPCh. 6 - Prob. 40QAPCh. 6 - Prob. 41QAPCh. 6 - Prob. 42QAPCh. 6 - Prob. 43QAPCh. 6 - Prob. 44QAPCh. 6 - Prob. 45QAPCh. 6 - Prob. 46QAPCh. 6 - Prob. 47QAPCh. 6 - Prob. 48QAPCh. 6 - Prob. 49QAPCh. 6 - Prob. 50QAPCh. 6 - Prob. 51QAPCh. 6 - Prob. 52QAPCh. 6 - Prob. 53QAPCh. 6 - Prob. 54QAPCh. 6 - Prob. 55QAPCh. 6 - Prob. 56QAPCh. 6 - Prob. 57QAPCh. 6 - Prob. 58QAPCh. 6 - Prob. 59QAPCh. 6 - Prob. 1DPCh. 6 - Prob. 2DPCh. 6 - Prob. 3DPCh. 6 - Prob. 4DPCh. 6 - Prob. 1SSPCh. 6 - Prob. 1FEQPCh. 6 - Prob. 2FEQPCh. 6 - Prob. 3FEQPCh. 6 - Prob. 4FEQPCh. 6 - Prob. 5FEQP
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