Answered: Bars (1) are made of a polyimide…

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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Question

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]

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$G i v e n n o r m a l s t r e s s i n e a c h b a r i s e q u a l σ_{1 =} σ_{2} F 1 = F 2 = F (s a y) C o m p a t i b i l i t y ∆ = \partial_{B} - \partial_{A} = 7.3 m m g i v e n A p p l y i n g f o r c e - d e f o r m a t i o n r e l a t i o n s h i p s \frac{F_{2} L_{2}}{A_{^{2}} E_{2}} - \frac{F_{1} L_{1}}{A_{1} E_{1}} = 7.3 \frac{F L_{2}}{A E_{2}} - \frac{F L_{1}}{A E_{1}} = 7.3 F = 7.3 X A X (\frac{E_{^{2}} E_{1}}{L_{^{2}} E_{1} - L_{^{1}} E_{2}})$

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ISBN:

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