Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 13, Problem 17CQ
To determine
The process in which a plastic sheet is formed by rolling.
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The assembly is composed of a steel shell and an aluminum
core that has been welded to a rigid plate. The gap between the
plate and the aluminum is initially 1- mm. If the assembly's
temperature is reduced by 180°C, determine (a) the final axial
stresses in each material and (b) the deflection of the rigid bar.
To support your response, draw a deformation diagram with
appropriate labels.
Use the following properties:
Aluminum core
Steel shell
Diameters (mm)
d = 15 mm
do = 30 mm
d₁ = 20 mm
E (GPa)
70
200
2 m
a (/°C)
22 x 10-6
12 x 10-6
A laminated [0/90/0/90]s graphite/epoxy beam is 1 mm thick, is 20 mm wide, and has 0.125 mm thick plies. The lamina properties are E1 = 180 GPa, E2 = 10 GPa, ν12 = 0.28, G12 = 7 GPa Xt = 1700 MPa, Xc = 1400 MPa, Yt = 40 MPa, Yc = 230 MPa
(a) Determine the flexural modulus of the beam
(b) How could the flexural modulus be improved without changing the ply materials, the number of plies, or the ply orientations?
(c) Using the Maximum Stress Criterion for each ply, determine the magnitude of the maximum allowable bending moment that the beam can withstand. Which ply fails first?
Steel, Brass, and Copper rods are connected as shown in the figure. Initially, the temperature was 15 degrees Celsius and the stress on the bars is zero. Eventually, the
temperature increased to 25 degrees Celsius. Determine the total deformation on the brass.
Steel
Brass
Copper
Est = 200 GPa
12(10-)/°C apr
Ebr
Ecu
17(10-)/°C
120 GPa
100 GPa
%3D
ast
= 21(10-6)/°C acu
Acu = 515 mm?
|Ast
200 mm2
Abr = 450 mm2
300 mm
-200 mm
100 mm
O -0.0109mm
O 0.0241mm
O -0.0241mm
O 0.0109mm
oooO
Chapter 13 Solutions
Materials Science And Engineering Properties
Ch. 13 - Prob. 1CQCh. 13 - Prob. 2CQCh. 13 - Prob. 3CQCh. 13 - Prob. 4CQCh. 13 - Prob. 5CQCh. 13 - Prob. 6CQCh. 13 - Prob. 7CQCh. 13 - Prob. 8CQCh. 13 - Prob. 9CQCh. 13 - Prob. 10CQ
Ch. 13 - Prob. 11CQCh. 13 - Prob. 12CQCh. 13 - Prob. 13CQCh. 13 - Prob. 14CQCh. 13 - Prob. 15CQCh. 13 - Prob. 16CQCh. 13 - Prob. 17CQCh. 13 - Prob. 18CQCh. 13 - Prob. 19CQCh. 13 - Prob. 1ETSQCh. 13 - Prob. 2ETSQCh. 13 - Prob. 3ETSQCh. 13 - Prob. 4ETSQCh. 13 - Prob. 5ETSQCh. 13 - Prob. 6ETSQCh. 13 - Prob. 7ETSQCh. 13 - Prob. 8ETSQCh. 13 - Prob. 9ETSQCh. 13 - Prob. 10ETSQCh. 13 - Prob. 11ETSQCh. 13 - Prob. 12ETSQCh. 13 - Prob. 13ETSQCh. 13 - Prob. 14ETSQCh. 13 - Prob. 15ETSQCh. 13 - Prob. 16ETSQ
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