Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 12, Problem 12.11P
(a)
To determine
The strain where the first change in elastic modulus occur.
(b)
To determine
Composite stress where change in elastic modulus occurs.
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A 1500 mm long composite bar consists of aluminum and steel as shown. The cross-sectional area of the aluminum bar is twice that of the steel bar. If the assembly is exposed to an axial tensile load of 250 kN, determine the lengths of each of the components if the elongation of the aluminum is the same with that of the steel. The modulus of elasticity of steel E = 200 GPa and for the aluminum is one-third of the steel.
An element representative of a composite comprising an isotropic fiber
enveloped by the isotropic resin is shown in Figure 1. Note that the two materials
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stress. Calculate the axial stress in the fiber (of) and that in the resin (om) in the
middle of the axis longitudinal fiber (L/ 2) using the material strength approach in
the case where the element is exposed to a change in temperature AT, depending
on following variables
The thermal expansion coefficients af and am
• The Af and Am sections
• The moduli of elasticity Ef and Em
• AT
Guide:
There is no external force
• Relations to consider: balance, geometric compatibility and relation
stress-strain.
Fibre :
At, Er,
Of, af
Matrice :
Am, Em,
Ớm, đm
4. For the composite block shown, determine (a) the value of h if the portion of the load carried by
the aluminum plates is half the portion of the load carried by the brass core, (b) the total load if
the stress in the brass is 80 Mpa.
P
Rigid end plate
Aluminum Plates
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Brass Core
(E=105 GPa)
40 mm
I
h
60 mm
300 mm
Chapter 12 Solutions
Materials Science And Engineering Properties
Ch. 12 - Prob. 1CQCh. 12 - Prob. 2CQCh. 12 - Prob. 3CQCh. 12 - Prob. 4CQCh. 12 - Prob. 5CQCh. 12 - Prob. 6CQCh. 12 - Prob. 7CQCh. 12 - Prob. 8CQCh. 12 - Composite _________ is produced by laying fibers...Ch. 12 - Prob. 10CQ
Ch. 12 - Prob. 11CQCh. 12 - Prob. 12CQCh. 12 - Prob. 13CQCh. 12 - Prob. 14CQCh. 12 - Prob. 15CQCh. 12 - Prob. 16CQCh. 12 - Prob. 17CQCh. 12 - Prob. 18CQCh. 12 - Prob. 19CQCh. 12 - Prob. 20CQCh. 12 - Prob. 21CQCh. 12 - Prob. 22CQCh. 12 - Prob. 23CQCh. 12 - Prob. 24CQCh. 12 - Prob. 25CQCh. 12 - Prob. 26CQCh. 12 - Prob. 27CQCh. 12 - Prob. 28CQCh. 12 - Prob. 1ETSQCh. 12 - Prob. 2ETSQCh. 12 - Prob. 3ETSQCh. 12 - Prob. 4ETSQCh. 12 - Prob. 5ETSQCh. 12 - Prob. 6ETSQCh. 12 - Prob. 7ETSQCh. 12 - Prob. 8ETSQCh. 12 - Prob. 9ETSQCh. 12 - Prob. 10ETSQCh. 12 - In Example Problem 12.1, a uniaxial composite...Ch. 12 - Prob. 12.2PCh. 12 - Prob. 12.3PCh. 12 - Prob. 12.4PCh. 12 - Prob. 12.5PCh. 12 - Prob. 12.6PCh. 12 - Estimate the transverse tensile strength of the...Ch. 12 - Prob. 12.8PCh. 12 - Prob. 12.9PCh. 12 - Prob. 12.10PCh. 12 - Prob. 12.11PCh. 12 - Prob. 12.12PCh. 12 - Prob. 12.13PCh. 12 - Prob. 12.14PCh. 12 - Prob. 12.15PCh. 12 - Prob. 12.16PCh. 12 - Prob. 12.17P
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