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.]

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

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

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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