Problem 1 (10 minutes) The following bar has an undeformed diameter d = B = 1 in. The material has the stress-strain curve shown (A = 50 ksi), and a Poisson's ratio v=0.3. 1. Identify the elastic limit as a point on the σ-ɛ curve 2. Determine the material's modulus of elasticity E 3. Determine the lateral strain &lat due to the applied 20 kips load 4. Determine the shear modulus G 5. Determine the tensile force that would yield the material 20 Kips σ (Ksi) 60 A →d=B(in) 20 Kips Δε +(1/2) 0.012 0 0.002
Problem 1 (10 minutes) The following bar has an undeformed diameter d = B = 1 in. The material has the stress-strain curve shown (A = 50 ksi), and a Poisson's ratio v=0.3. 1. Identify the elastic limit as a point on the σ-ɛ curve 2. Determine the material's modulus of elasticity E 3. Determine the lateral strain &lat due to the applied 20 kips load 4. Determine the shear modulus G 5. Determine the tensile force that would yield the material 20 Kips σ (Ksi) 60 A →d=B(in) 20 Kips Δε +(1/2) 0.012 0 0.002
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Problem 1 (10 minutes)
The following bar has an undeformed diameter d = B = 1 in. The
material has the stress-strain curve shown (A = 50 ksi), and a
Poisson's ratio v=0.3.
1. Identify the elastic limit as a point on the σ-ɛ curve
2. Determine the material's modulus of elasticity E
3. Determine the lateral strain &lat due to the applied 20 kips
load
4. Determine the shear modulus G
5. Determine the tensile force that would yield the material
20 Kips
σ (Ksi)
60
A
→d=B(in)
20 Kips
Δε
+(1/2)
0.012
0
0.002
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