During a stress-strain test, the unit deformation at

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PROBLEMS
203. During a stress-strain test, the unit deformation at a stress of 5000 psi
wap ODserved to be 0.000167 in./in. and at a stress of 20,000 psi it was 0.000667
in./in. If the proportional limit is 30,000 psi, what is the modulus of elasticity?
What is the stress corresponding to a strain of 0.0002 in./in.? Would these re-
Bults be valid if the proportional limit were 18,000 psi? Explain.
Ans. E = 30 X 106 psi; S = 6000 psi
Ou00 4 ond weight W is sus-
Transcribed Image Text:PROBLEMS 203. During a stress-strain test, the unit deformation at a stress of 5000 psi wap ODserved to be 0.000167 in./in. and at a stress of 20,000 psi it was 0.000667 in./in. If the proportional limit is 30,000 psi, what is the modulus of elasticity? What is the stress corresponding to a strain of 0.0002 in./in.? Would these re- Bults be valid if the proportional limit were 18,000 psi? Explain. Ans. E = 30 X 106 psi; S = 6000 psi Ou00 4 ond weight W is sus-
204. A uniform bar of length L, cross-sectional area A, and weight W is sus-
WL
pended vertically from one end. Show that its total elongation is o =
• If
2AE
wL?
its weight per unit volume is w, show also that & =
2E
205
A steel rod having a cross-sectional area of sq in. and a length of 600 ft
is suspended vertically. It supports a load of 5000 lb at the lower end. If steel
weighs 490 lb/cu ft and E =
Hint: Use thke result of Prob. 204.
30 X 106 psi, find the total elongation in the rod.
Ans.
2.64 in.
%3D
Transcribed Image Text:204. A uniform bar of length L, cross-sectional area A, and weight W is sus- WL pended vertically from one end. Show that its total elongation is o = • If 2AE wL? its weight per unit volume is w, show also that & = 2E 205 A steel rod having a cross-sectional area of sq in. and a length of 600 ft is suspended vertically. It supports a load of 5000 lb at the lower end. If steel weighs 490 lb/cu ft and E = Hint: Use thke result of Prob. 204. 30 X 106 psi, find the total elongation in the rod. Ans. 2.64 in. %3D
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