3. (a) (b) (c) A hollow steel driving shaft has the modulus of rigidity is 80 GN/m² and its Young's modulus has the same value as modulus of rigidity. is 3:2 and the length of the shaft is 6m. The ratio of the outside to inside diameter This shaft is designed to transmit 750 kW at the rotational speed of 100 rpm but must satisfy the following two conditions: i) the twist must not exceed 1°; ii) the shear stress must not exceed 36 N/mm². Determine the shaft diameter under condition i) Determine the shaft diameter under condition ii) & the final decision of diameter to meet both conditions Determine the direct stress within the shaft if the shaft experiences a change of temperature from 20°C to 80°C and thermal coefficient of the shaft is 12x106/°C

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.3.17P: A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and...
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3.
(a)
(b)
(c)
A hollow steel driving shaft has the modulus of rigidity is 80
OGN/m² and its Young's modulus has the same value as
modulus of rigidity. The ratio of the outside to inside diameter
is 3:2 and the length of the shaft is 6m.
This shaft is designed to transmit 750 kW at the rotational
speed of 100 rpm but must satisfy the following two
conditions: i) the twist must not exceed 1°; ii) the shear stress
must not exceed 36 N/mm².
Determine the shaft diameter under condition i)
01
6
Determine the shaft diameter under condition ii) & the final
decision of diameter to meet both conditions
fo
Determine the direct stress within the shaft if the shaft
experiences a change of temperature from 20°C to 80°C and
thermal coefficient of the shaft is 12x10-6/°C
Transcribed Image Text:3. (a) (b) (c) A hollow steel driving shaft has the modulus of rigidity is 80 OGN/m² and its Young's modulus has the same value as modulus of rigidity. The ratio of the outside to inside diameter is 3:2 and the length of the shaft is 6m. This shaft is designed to transmit 750 kW at the rotational speed of 100 rpm but must satisfy the following two conditions: i) the twist must not exceed 1°; ii) the shear stress must not exceed 36 N/mm². Determine the shaft diameter under condition i) 01 6 Determine the shaft diameter under condition ii) & the final decision of diameter to meet both conditions fo Determine the direct stress within the shaft if the shaft experiences a change of temperature from 20°C to 80°C and thermal coefficient of the shaft is 12x10-6/°C
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