Figure Q4(a) shows the stress-strain curves of material A and material B. A circular rod of material A (diameter 3 cm, length 10 cm) is bonded to a circular rod of material B (diameter 4 cm, length 20 cm) as shown in Figure Q4(b). a) Based on the stress-strain curves shown determine the yield stress (a,) and the elastic modulus (E) of material A and material B. b) Assuming that the bond is rigid, determine the force P required to stretch the composite rod by 0.3 mm?

Elements Of Electromagnetics
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Q4
Figure Q4(a) shows the stress-strain curves of material A and material B. A circular rod of material A
(diameter 3 cm, length 10 cm) is bonded to a circular rod of material B (diameter 4 cm, length 20 cm) as
shown in Figure Q4(b).
a)
Based on the stress-strain curves shown determine the yield stress (a,) and the elastic modulus
(E) of material
and material B.
b)
Assuming that the bond is rigid, determine the force P required to stretch the composite rod by
0.3 mm?
c)
Assuming a Poisson's ratio value of 0.33, determine the change in diameter of the rod made
from material B for the same P as determined in part (b).
300
Material A
200
Material B
100
0.2
0.4
0.6
0.8
1.0
Strain x10
FIGURE Q4(a)
B
P
20 cm
10 cm
FIGURE Q4(b)
Stress / MPa
Transcribed Image Text:Q4 Figure Q4(a) shows the stress-strain curves of material A and material B. A circular rod of material A (diameter 3 cm, length 10 cm) is bonded to a circular rod of material B (diameter 4 cm, length 20 cm) as shown in Figure Q4(b). a) Based on the stress-strain curves shown determine the yield stress (a,) and the elastic modulus (E) of material and material B. b) Assuming that the bond is rigid, determine the force P required to stretch the composite rod by 0.3 mm? c) Assuming a Poisson's ratio value of 0.33, determine the change in diameter of the rod made from material B for the same P as determined in part (b). 300 Material A 200 Material B 100 0.2 0.4 0.6 0.8 1.0 Strain x10 FIGURE Q4(a) B P 20 cm 10 cm FIGURE Q4(b) Stress / MPa
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