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 (σy) 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? 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)
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 (σy) 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? 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)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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 (σy) 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?
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).
Transcribed Image Text:P
A.
P
20 ст
10 сm
Transcribed Image Text:300
Material A
200
Material B
100
0.6
-2
0.8
1.0
0.2
0.4
Strain x10
Stress / MPa
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