Question

MET 4003 Machine Design Homework #6 Problems 3. For a machined shaft with material properties below and depicted in the figure below, rotating and simply supported at B and C, driven by gear (not shown) that meshes with spur gear at D, with pitch diameter of 200 mm. Torque at A, $T_A$ = 450 Nm and a safety factor of 2.0. Determine the minimum diameter of the shaft between B and C using (a) static yield analysis using distortion energy theory. (b) Fatigue-failure analysis DE-Goodman criteria. Assume sharp fillet radii at the bearing shoulders for estimating stress-concentration factors, $K_b$ = .85, a q of .85 and a $q_{shear}$ of .95. $S_{ut}$ = 600 Mpa $S_y$ = 400 Mpa

          MET 4003
Machine Design
Homework #6 Problems
3. For a machined shaft with material properties below and depicted in the figure below, rotating and simply
supported at B and C, driven by gear (not shown) that meshes with spur gear at D, with pitch diameter of 200 mm.
Torque at A, $T_A$ = 450 Nm and a safety factor of 2.0. Determine the minimum diameter of the shaft between B
and C using (a) static yield analysis using distortion energy theory. (b) Fatigue-failure analysis DE-Goodman
criteria. Assume sharp fillet radii at the bearing shoulders for estimating stress-concentration factors, $K_b$ = .85, a q
of .85 and a $q_{shear}$ of .95.
$S_{ut}$ = 600 Mpa
$S_y$ = 400 Mpa

MET 4003
Machine Design
Homework #6 Problems
3. For a machined shaft with material properties below and depicted in the figure below, rotating and simply
supported at B and C, driven by gear (not shown) that meshes with spur gear at D, with pitch diameter of 200 mm.
Torque at A, TA = 450 Nm and a safety factor of 2.0. Determine the minimum diameter of the shaft between B
and C using (a) static yield analysis using distortion energy theory. (b) Fatigue-failure analysis DE-Goodman
criteria. Assume sharp fillet radii at the bearing shoulders for estimating stress-concentration factors, Kb = .85, a q
of .85 and a qshear of .95.
Sut = 600 Mpa
Sy = 400 Mpa

Added by Robert T.

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