Problem 5: At times in design, you would like to ensure that failure occurs in a specific part. For instance, in watch designs many components are stacked on top of one another due to the small space requirements. In this case if failure must occur, it is best that it happens in a gear that is easy to access. Using the maximum shear stress theory and only the stresses related to bending, determine the safety factors of the teeth on gears A, B, and C below. Each tooth can be assumed to be a rectangular cantilever beam with a point force at the end, the force can be determined using Torque = F xr. Gear A Torque on Shaft Gear Radius Tooth Length Tooth Height Tooth Thickness Gear A 10 N-mm 8.0 mm 1.5 mm 1.5 mm 0.5 mm Gear B Gear B 8 N-mm 3.0 mm 2.0 mm 1.5 mm 0.5 mm Gear C Gear C 6 N-mm 5.0 mm 1.5 mm 2.0 mm 0.8 mm Gear D Gear D 30 N-mm 10.0 mm 1.5 mm 1.5 mm Solve Material: Steel E =200 GPa Sy = 250 MPa

Problem 5: At times in design, you would like to ensure that failure occurs in a specific part. For instance, in watch designs many components are stacked on top of one another due to the small space requirements. In this case if failure must occur, it is best that it happens in a gear that is easy to access. Using the maximum shear stress theory and only the stresses related to bending, determine the safety factors of the teeth on gears A, B, and C below. Each tooth can be assumed to be a rectangular cantilever beam with a point force at the end, the force can be determined using Torque = F xr. Gear A Torque on Shaft Gear Radius Tooth Length Tooth Height Tooth Thickness Gear A 10 N-mm 8.0 mm 1.5 mm 1.5 mm 0.5 mm Gear B Gear B 8 N-mm 3.0 mm 2.0 mm 1.5 mm 0.5 mm Gear C Gear C 6 N-mm 5.0 mm 1.5 mm 2.0 mm 0.8 mm Gear D Gear D 30 N-mm 10.0 mm 1.5 mm 1.5 mm Solve Material: Steel E =200 GPa Sy = 250 MPa

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

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

Problem 5: At times in design, you would like to ensure
that failure occurs in a specific part. For instance, in watch
designs many components are stacked on top of one another
due to the small space requirements. In this case if failure
must occur, it is best that it happens in a gear that is easy to
access.
Using the maximum shear stress theory and only the stresses
related to bending, determine the safety factors of the teeth
on gears A, B, and C below. Each tooth can be assumed to
be a rectangular cantilever beam with a point force at the
end, the force can be determined using Torque = F x r.
0000
Gear B
Gear C
Gear A
Torque on Shaft
Gear Radius
Tooth Length
Tooth Height
Tooth Thickness
Gear A
10 N-mm
8.0 mm
1.5 mm
1.5 mm
0.5 mm
Gear B
8 N-mm
3.0 mm
2.0 mm
1.5 mm
0.5 mm
Gear C
6 N-mm
5.0 mm
1.5 mm
2.0 mm
0.8 mm
Gear D
Gear D
30 N-mm
10.0 mm
1.5 mm
1.5 mm
Solve
Material: Steel
E =200 GPa
Sy = 250 MPa

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