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Bars (1) are made of a polyimide plastic that has an elastic modulus of 3.8 GPa. Bar (2) is a nylon material that has an elastic modulus of 0.9 GPa. Each bar has a cross-sectional area of 1050 mm2. Using L = 395 mm and Δ = 7.3 mm, what magnitude of load P will cause the normal stress in each bar to be the same value? [Answer: P = 67.0 kN]

Bars (1) are made of a polyimide plastic that has an elastic modulus of 3.8 GPa. Bar (2) is a nylon material that has an elastic modulus of 0.9 GPa. Each bar has a cross-sectional area of 1050 mm2. Using L = 395 mm and Δ = 7.3 mm, what magnitude of load P will cause the normal stress in each bar to be the same value? [Answer: P = 67.0 kN]

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Bars (1) are made of a polyimide plastic that has an elastic modulus of 3.8 GPa. Bar (2) is a nylon material that has an elastic modulus of 0.9 GPa. Each bar has a cross-sectional area of 1050 mm2. Using L = 395 mm and Δ = 7.3 mm, what magnitude of load P will cause the normal stress in each bar to be the same value? [Answer: P = 67.0 kN]

a a A B L. (1) |(2) (1)
Transcribed Image Text:a a A B L. (1) |(2) (1)
Expert Solution
Step 1

Given normal stress in each bar is equal σ1 = σ2F1=F2=F (say)Compatibility∆ = ∂B - ∂A   = 7.3mm givenApplying force - deformation relationshipsF2L2A2 E2 - F1L1A1 E1 = 7.3FL2AE2 - FL1AE1 = 7.3F = 7.3 X A X E2E1L2E1-L1E2   

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