Quiz11Materials1Answer

# Quiz11Materials1Answer - Part a Since 2 4 D B F B A F L L V...

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AP1200 Quiz 11 Student Name ____________________________ Student ID ___________________ A cylindrical piece of steel with diameter of 15.2 mm and length of 250 mm is elongated elastically with a force of 48,900 N. Steel has a modulus of elasticity of 207 GPa. (a) Calculate the amount of elongation. (2 points) (b) Calculate the change in diameter, assuming that the volume of the material does not change. Does the diameter increase or decrease? (4 points) Answer: use σ = Eε as defined in the text, and conservation of volume
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Unformatted text preview: Part a Since 2 4 / / / D B F B A F L L V V A F B π = = ∆ → ∆ = mm m L 326 . ) ( 10 326 . 0152 . 14 . 3 10 07 . 2 25 . 48900 4 3 2 11 = × = × × × × × = ∆-So the elongation is 0.326 mm Part b V = LA = constant. We have ∆ L = 0.326mm from part a. mm L L L D D D L D D L L V V i f 3 2 2 10 9 . 9 ) 1 326 . 250 250 ( 2 . 15 ) 1 ) ( ( 4 / 4 / ) ( ) (-×-=-=-∆ + = ∆ = ∆ + ∆ + = So ∆ D = 0.01mm. The diameter decreases....
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