Problem 1-10

# Problem 1-10 - MACHINE DESIGN An 1-10-1 PROBLEM 1-10 Convert the template in Problem 1-9 to a set of user functions one for each shape in Statement

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MACHINE DESIGN - An 1-10-1 PROBLEM 1-10 Statement: Convert the template in Problem 1-9 to a set of user functions, one for each shape in Appendix B. Each function should return the volume and second moments of mass for one section shape. Solution: See Appendix B and Mathcad file P0110. 1. Rectangular prism: Volume Vab , c , () ab . c . Mass Mab , c , γ , , c , . g Moment about x -axis I x , c , , , c , , a 2 b 2 . 12 Moment about y -axis I y , c , , , c , , a 2 c 2 . 12 Moment about z -axis I z , c , , , c , , b 2 c 2 . 12 2. Cylinder: Volume VrL , π r 2 . L . Mass MrL , , , . g Moment about x -axis I x rL , , , , r 2 . 2 Moment about y -axis I y , , , , 3 r 2 . L 2 . 12 Moment about z -axis I z , , , , 3 r 2 . L 2 . 12 3. Hollow cylinder: Volume , L , b 2 a 2 . L . Mass , L , , , L , . g Moment about x -axis I x , L , , , L , , 2 a 2 b 2 . Moment about y -axis I y , L , , , L , , 12 3 a 2 . 3 b 2 . L 2 . Moment about z -axis I z , L , , , L , , 12 3 a 2 . 3 b 2 . L 2 . P 0110.mcd

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MACHINE DESIGN - An 1-10-2 4. Right circular cone: Volume Vrh , () π r 2 . h . 3 Mass Mrh , γ , , . g Moment about x -axis I x rh , , 3 10 , , . r 2 . Moment about
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## This note was uploaded on 04/26/2010 for the course MAE 3242 taught by Professor N/a during the Fall '10 term at University of Texas-Tyler.

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Problem 1-10 - MACHINE DESIGN An 1-10-1 PROBLEM 1-10 Convert the template in Problem 1-9 to a set of user functions one for each shape in Statement

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