hw2dsol.sp12

# hw2dsol.sp12 - 1 Name of Student ME 452 Machine Design II...

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Unformatted text preview: 1 Name of Student:_______________________ ME 452: Machine Design II Spring Semester 2012 Homework Set 2 Attempt by Wednesday, January 25th Solve the following problems from Chapter 5, Shigley’s Mechanical Engineering Design, Ninth Edition, R.G. Budynas, and J.K. Nisbett. 1. Problem 5-3, page 257. Parts (a) and (d) only. 2. Problem 5-5, page 257. 3. Problem 5-21, page 258. 4. Problem 5-36, page 258. 2 Solution to Homework Set 2. 1. Problem 5-3. From Table A-20, the yield strength is 37.5 y S = kpsi. (a) The maximum shear stress theory of failure (MSS) states that 1 3 1 3 / ( ) y y S S n n σ σ σ σ − = ⇒ = − (1) The distortion energy theory of failure (DE) states that y S n σ = ′ (2) where the von Mises stress (also called the equivalent or effective stress) can be written as 2 2 1/2 2 2 2 1/2 ( ) ( 3 ) A A B B x x y y x y σ σ σ σ σ σ σ σ σ τ ′ = − + = − + + (3) Using the maximum shear stress theory of failure, the factor of safety is 1 25 σ = kpsi, 3 37.5 1 . 5 25 9 n σ = ⇒ = = − Ans. (4) Using the distortion energy theory of failure, the factor of safety is 1/2 2 2 37.5 1.72 ( 25) ( 25)( 15) ( 15) n = = ⎡ ⎤ + − + + + + ⎣ ⎦ Ans. (5) (d) The principal normal stresses are 2 2 12 15 12 15 , ( 9) 17.7, 14.717....
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hw2dsol.sp12 - 1 Name of Student ME 452 Machine Design II...

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