Problem 2 (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 fracture point point on the σ-ɛ curve 2. Verify if the material is in the elastic range under the applied 20 kips load 3. Determine the change in diameter due to the applied 20 kips load 4. Determine the material's modulus of toughness ut 5. Determine the elongation of the bar at fracture ALfr if the original length is 4 in 20 Kips σ (Ksi) 60 A →←d=B (in) 20 Kips Δε (mm) 0 0.002 0.012

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Problem 2 (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 fracture point point on the σ-ɛ curve
2. Verify if the material is in the elastic range under the applied
20 kips load
3. Determine the change in diameter due to the applied 20
kips load
4. Determine the material's modulus of toughness ut
5. Determine the elongation of the bar at fracture ALfr if the
original length is 4 in
20 Kips
σ (Ksi)
60
A
→←d=B (in)
20 Kips
Δε (mm)
0
0.002
0.012
Transcribed Image Text:Problem 2 (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 fracture point point on the σ-ɛ curve 2. Verify if the material is in the elastic range under the applied 20 kips load 3. Determine the change in diameter due to the applied 20 kips load 4. Determine the material's modulus of toughness ut 5. Determine the elongation of the bar at fracture ALfr if the original length is 4 in 20 Kips σ (Ksi) 60 A →←d=B (in) 20 Kips Δε (mm) 0 0.002 0.012
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