An aluminum bar has length L = 5 ft and diameter d = 1.25 in. %D The stress-strain curve for the aluminum is shown in Fig. 1-13 of Section 1.3. The initial straight-line part of the curve has a slope (modulus of elasticity) of 10 X 106 psi. The bar is loaded by tensile forces P = 39 k and then unloaded. What is the permanent s t of the bar? deformation

Elements Of Electromagnetics
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An aluminum bar has length L = 5 ft and diameter d = 1.25 in.
%D
%3D
The stress-strain curve for the aluminum is shown in Fig. 1-13
of Section 1.3. The initial straight-line part of the curve has a
slope (modulus of elasticity) of 10 X 106 psi. The bar is loaded
by tensile forces P = 39 k and then unloaded.
What is the
permanent s t of the bar?
deformation
Loading
Elastic
recovery
Residual
strain
(b)
FIG. 1-18 Stress-strain diagrams
illustrating (a) elastic behavior,
and (b) partially elastic behavior
FIG. 1-19 Reloading of a material and
raising of the elastic and proportional
limits
o (ksi)
40
30
20
10
0 0.05 0.10 0.15 0.20 0.25
FIG. 1-13 Typical stress-strain diagram
for an aluminum alloy
Bnpeorun
Loading
Bospeo
Unloading
Transcribed Image Text:An aluminum bar has length L = 5 ft and diameter d = 1.25 in. %D %3D The stress-strain curve for the aluminum is shown in Fig. 1-13 of Section 1.3. The initial straight-line part of the curve has a slope (modulus of elasticity) of 10 X 106 psi. The bar is loaded by tensile forces P = 39 k and then unloaded. What is the permanent s t of the bar? deformation Loading Elastic recovery Residual strain (b) FIG. 1-18 Stress-strain diagrams illustrating (a) elastic behavior, and (b) partially elastic behavior FIG. 1-19 Reloading of a material and raising of the elastic and proportional limits o (ksi) 40 30 20 10 0 0.05 0.10 0.15 0.20 0.25 FIG. 1-13 Typical stress-strain diagram for an aluminum alloy Bnpeorun Loading Bospeo Unloading
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