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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft is supported on bearings and is rotated with the help of a set of gears or pulleys that are used for the power transmission. Bending moment, torsion, and an axial force act upon the shaft. Designing of shaft primarily involves determining stresses at a critical point in the shaft that is arising due to loading.

Question

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
В
15 mm
E
Ø130 mm
PA= 11.4 kW
di= 52.5 mm
d2= 31.2 mm
fA=10 Hz

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