hw4csol.sp12

hw4csol.sp12 - Name of Student ME 452 Machine Design II...

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1 Name of Student ______________________ ME 452: Machine Design II Spring Semester 2012 Homework Set 4 Attempt by Wednesday, February 8th Solve the following problems from Chapter 6, Shigley’s Mechanical Engineering Design, Ninth Edition, R.G. Budynas and J.K. Nisbett. 1. Problem 6-15 page 349. 2. Problem 6-16 page 349. 3. Problem 6-17 page 349. 4. Problem 6-20 page 350. Notes and Reminders Submit the progress report for Project 1 before noon, Room ME 3003, Friday, February 10th. The report should include such items as: (i) A brief paragraph describing your approach to determine the acceleration of the piston from a kinematic analysis of the single cylinder diesel engine. Include a copy of your computer program, and tables of your kinematic results (the data should be printed at least every 10 degrees of the crank position 2 θ .) (ii) A brief paragraph describing your approach to determine the reaction forces acting on the crankshaft as a function of the crank position 2 θ . Use the Newton-Euler approach. a. Draw complete free body diagrams of each link of the engine. b. List all the unknown variables (forces, moments, etc.). Compare your results including the weight of the piston and then neglecting the weight of the piston. Include a copy of your computer program, and tables of your dynamic force results (the data should be printed at least every 10 degrees of the crank position 2 θ . (iii) A brief paragraph describing your approach to generate the shear force diagrams, bending moment diagrams, and torque diagrams for five pieces of the crankshaft. a. Draw the shear force diagrams, bending moment diagrams, and torque diagrams for each of the pieces of the crankshaft. b. Describe your approach to determine the critical planes of the crankshaft. (iv) Prepare a progress report summarizing the results of Steps (i) – (iii). Include a brief paragraph describing the problem. Show all of your work, and include a copy of your computer program, and plots, clearly showing your important results. Discuss the practical significance of your results. Class Test 1 is in lecture on Friday, February 10th. The test is open book and closed notes and will focus on the material taken from the class lectures and Homework Sets 1, 2, 3, and 4.
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2 Solution to Homework Set 4. Problem 6-15. From Table A-20 for AISI 1095 HR steel, see page 1040, the ultimate tensile strength and the yield strength of the solid steel round bar, respectively, are 120 ut S = kpsi and 66 y S = kpsi (1) Using Eq. (6-8), see page 282, the uncorrected endurance strength of the solid steel round bar is 0.5 0.5 120 60 eu t SS == × = kpsi (2) From Table 6-2, see page 288, the constants are an 2.70 kpsi 0 2 d. 6 5 ab (3) From Eq. (6-19), see page 287, the surface factor is 0.265 2.70 120 0.76 b au t ka S ==× = (4) From Eq. (6-24), see page 289, the equivalent diameter is 0.370 0.370 1.8 0.666 e dd = = in (5) Therefore, from Eq. (6-20), see page 288, the size factor is 0.107 0.107 0.879 0.879 0.666 0.92 be kd −− × = (6) From Eq. (6-26), see page 290, the loading factor is 1 c k = (7) Using Eq. (6-18), see page 287, the corrected endurance strength of the solid steel round bar is 0.76 0.92 1 60 42.0 ea c Sk k k S =′ = × × × = kpsi (8)
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hw4csol.sp12 - Name of Student ME 452 Machine Design II...

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