8.22 (C). A uniform solid shaft of circular cross-section will drive the propeller of a ship. It will therefore necessarily be subject simultaneously to a thrust load and a torque. The magnitude of the thrust can be related to the magnitude of the torque by the simple relationship N = KT, where N denotes the magnitude of the thrust, I that of the torque and K is a constant. There will also be some bending moment on the shaft. Assuming that the design requirement is that the maximum shearing stress in the material shall nowhere exceed a certain value, denoted by T, show that the maximum bending moment that can be allowed is given by the expression Kr - [(-₁) "¹² - K² ] T 472 4 bending moment, M = where r denotes the radius of the shaft cross-section. [City U.]

Elements Of Electromagnetics
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8.22 (C). A uniform solid shaft of circular cross-section will drive the propeller of a ship. It will therefore
necessarily be subject simultaneously to a thrust load and a torque. The magnitude of the thrust can be related to the
magnitude of the torque by the simple relationship N = KT, where N denotes the magnitude of the thrust, 7 that of
the torque and K is a constant. There will also be some bending moment on the shaft. Assuming that the design
requirement is that the maximum shearing stress in the material shall nowhere exceed a certain value, denoted by T,
show that the maximum bending moment that can be allowed is given by the expression
TR²6
Kr
- [ ( 7²² - ₁) "¹²₁_K² ] T
-1
4T2
4
bending moment, M =
where r denotes the radius of the shaft cross-section.
[City U.]
Transcribed Image Text:8.22 (C). A uniform solid shaft of circular cross-section will drive the propeller of a ship. It will therefore necessarily be subject simultaneously to a thrust load and a torque. The magnitude of the thrust can be related to the magnitude of the torque by the simple relationship N = KT, where N denotes the magnitude of the thrust, 7 that of the torque and K is a constant. There will also be some bending moment on the shaft. Assuming that the design requirement is that the maximum shearing stress in the material shall nowhere exceed a certain value, denoted by T, show that the maximum bending moment that can be allowed is given by the expression TR²6 Kr - [ ( 7²² - ₁) "¹²₁_K² ] T -1 4T2 4 bending moment, M = where r denotes the radius of the shaft cross-section. [City U.]
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