8:36 47 ‹ Assignment Details 24 SUMMER MEEN 368 700: SOLID MECH IN MEC DESIGN Objective. Apply a combination of theoretical and computational tools to investigate strength and deflection in stepped shaft. Problem statement. An AISI 1020 cold-drawn steel shaft (of ultimate strength 470 MPa and yield strength 390 MPa) carries a transverse load of 10 kN and a torque of 100 N.m. 10 kN 155 55 30 35 40 45 40 35 30 20 - - 1 T +30-> +30-> 4 55 ₹ 60 4 -115 +10 85 150 > 375 (a) (10 points) If the largest allowable slope at the bearings is 0.001 rad and at the gear mesh is 0.0005 rad, what is the factor of safety guarding against damaging distortion? Show the M/I diagram and the deflection curve, and locate the maximum deflection location in the shaft. (b) (9 points) Using the DE-Goodman criterion, what is the factor of safety guarding against a fatigue failure? Assume the fillet radius as 2 mm. (c) (9 points) Conduct finite element simulations (using Fusion 360 or SolidWorks) to compare your findings on deflection, location(s) of critical stress, and FOS. If the land location in mound 1Am mtr +h in right would 20 47 Dashboard Calendar To Do Notifications Inbox 8:36 47 < Assignment Details 24 SUMMER MEEN 368 700: SOLID MECH IN MEC DESIGN (a) (10 points) If the largest allowable slope at the bearings is 0.001 rad and at the gear mesh is 0.0005 rad, what is the factor of safety guarding against damaging distortion? Show the M/I diagram and the deflection curve, and locate the maximum deflection location in the shaft. (b) (9 points) Using the DE-Goodman criterion, what is the factor of safety guarding against a fatigue failure? Assume the fillet radius as 2 mm. (c) (9 points) Conduct finite element simulations (using Fusion 360 or SolidWorks) to compare your findings on deflection, location(s) of critical stress, and FOS. If the load location is moved 10 mm to the right, would stiffness of the shaft increase or decrease? Show the von Mises stress field and the displacement field in the shaft under deformed condition. (d) (2 points) If the shaft turns out to be unsatisfactory, what would you recommend to correct the problem? Relevant resources: Section 3.10 (page 42) in LectureNotes/M1_StiffnessDeflection.pdf and Section 4 (page 38) in LectureNotes/M3_StressFluctuation&Fatigue.pdf available on Google Drive. 20 47 Dashboard Calendar To Do Notifications Inbox