The shaft of a mechanical device is designed to transmit the torque T = 100 N. m. The shaft could be fabricated from one of the materials in Table 1. Choose one of the materials from Table 1 and considering its maximum allowable shear stress, Table 1 Material A Material B allowable shear stress: 80 MPa allowable shear stress: 120 MPa allowable shear stress: 150 MPa Material C (a) Determine the minimum diameter required for a solid shaft to carry the load. (b) Considering the material you have chosen in (a), determine the maximum inner diameter permitted for a hollow shaft if the outer diameter is 50 mm to carry the load. (c) Determine the weight change (in percent) if you use shaft (b) instead of (a) considering the same length for both shafts. Discuss whether you will use solid or hollow shafts for the application, and why?

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
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The shaft of a mechanical device is designed to transmit the torque T = 100 N. m.
The shaft could be fabricated from one of the materials in Table 1. Choose one of
the materials from Table 1 and considering its maximum allowable shear stress,
Table 1
Material A
Material B
allowable shear stress: 80 MPa
allowable shear stress: 120 MPa
allowable shear stress: 150 MPa
Material C
(a) Determine the minimum diameter required for a solid shaft to carry the load.
(b) Considering the material you have chosen in (a), determine the maximum
inner diameter permitted for a hollow shaft if the outer diameter is 50 mm to
carry the load.
(c) Determine the weight change (in percent) if you use shaft (b) instead of (a)
considering the same length for both shafts. Discuss whether you will use
solid or hollow shafts for the application, and why?
Transcribed Image Text:The shaft of a mechanical device is designed to transmit the torque T = 100 N. m. The shaft could be fabricated from one of the materials in Table 1. Choose one of the materials from Table 1 and considering its maximum allowable shear stress, Table 1 Material A Material B allowable shear stress: 80 MPa allowable shear stress: 120 MPa allowable shear stress: 150 MPa Material C (a) Determine the minimum diameter required for a solid shaft to carry the load. (b) Considering the material you have chosen in (a), determine the maximum inner diameter permitted for a hollow shaft if the outer diameter is 50 mm to carry the load. (c) Determine the weight change (in percent) if you use shaft (b) instead of (a) considering the same length for both shafts. Discuss whether you will use solid or hollow shafts for the application, and why?
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