Shafts AB and CD are used to transmit power from the motor at A to a machine tool E (idealized as a box in the figure). AB is a hollow steel (G = 78 GPa) with diameter d1, thickness of 15 mm, and length of 1000 mm while CD is a solid copper (G = 45 GPa) with diameter d2 and length of 800 mm. The power supplied by motor A is PA. The meshed gears 1 and 2 have diameters of 80 mm and 130 mm, respectively. Determine the following: a. Maximum shear stress in shaft AB (MPa) b. Maximum shear stress in shaft CD (MPa) c. Assuming that E is a fixed end, the angle of rotation of gear 1 () Ø80 mm A BỊ 15 mm E de Ø130 mm PA= 11.4 kW di= 52.5 mm d2= 31.2 mm fA=10 Hz

Shafts AB and CD are used to transmit power from the motor at A to a machine tool E (idealized as a box in the figure). AB is a hollow steel (G = 78 GPa) with diameter d1, thickness of 15 mm, and length of 1000 mm while CD is a solid copper (G = 45 GPa) with diameter d2 and length of 800 mm. The power supplied by motor A is PA. The meshed gears 1 and 2 have diameters of 80 mm and 130 mm, respectively. Determine the following: a. Maximum shear stress in shaft AB (MPa) b. Maximum shear stress in shaft CD (MPa) c. Assuming that E is a fixed end, the angle of rotation of gear 1 () Ø80 mm A BỊ 15 mm E de Ø130 mm PA= 11.4 kW di= 52.5 mm d2= 31.2 mm fA=10 Hz

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.7.12P

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