The engineer needs to design a cylinder shaft, with length L=1 m, to transmit a power of 500W and rotating at 1 rad/s. The radius of the cross-section is 0.01m, which gives us the polar 2nd moment of area J=1.57x10-8m4. Two materials can be chosen: Material A: expensive, shear modulus G=80GPa, and the maximum allowed shear stress is 280MPa Material B: cheap, shear modulus G=25GPa, and the maximum allowed shear stress is 200MPa (a) Determine the torsion angles if material A or B is applied, respectively. (b) If the safety MUST be ensured, and a lower cost is preferred, which material should be chosen? (Safety factor = 0.8)
The engineer needs to design a cylinder shaft, with length L=1 m, to transmit a power of 500W and rotating at 1 rad/s. The radius of the cross-section is 0.01m, which gives us the polar 2nd moment of area J=1.57x10-8m4. Two materials can be chosen: Material A: expensive, shear modulus G=80GPa, and the maximum allowed shear stress is 280MPa Material B: cheap, shear modulus G=25GPa, and the maximum allowed shear stress is 200MPa (a) Determine the torsion angles if material A or B is applied, respectively. (b) If the safety MUST be ensured, and a lower cost is preferred, which material should be chosen? (Safety factor = 0.8)
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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Transcribed Image Text:The engineer needs to design a cylinder shaft, with length L=1 m, to transmit a power of 500W
and rotating at 1π rad/s. The radius of the cross-section is 0.01m, which gives us the polar 2nd
moment of area J=1.57×10-8m4. Two materials can be chosen:
Material A: expensive, shear modulus G=80GPa, and the maximum allowed shear
stress is 280MPa
Material B: cheap, shear modulus G=25GPa, and the maximum allowed shear stress
is 200MPa
(a)
Determine the torsion angles if material A or B is applied, respectively.
(b)
If the safety MUST be ensured, and a lower cost is preferred, which material
should be chosen? (Safety factor = 0.8)
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