1. A shaft 80 mm diameter transmits power at maximum shear stress of 63 MPa. Find the length of a 20 mm wide key required to mount a pulley on the shaft so that the stress in the key does not exceed 42 MPa

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 1.8.12P: A punch for making a slotted hole in ID cards is shown in the figure part a. Assume that the hole...
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1. A shaft 80 mm diameter transmits power at maximum shear stress of 63 MPa. Find the length of a 20
mm wide key required to mount a pulley on the shaft so that the stress in the key does not exceed 42
MPa.
[Ans. 152 mm]
2. A shaft 30 mm diameter is transmitting power at a maximum shear stress of 80 MPa. If a pulley is
connected to the shaft by means of a key, find the dimensions of the key so that the stress in the key is
not to exceed 50 MPa and length of the key is 4 times the width.
[Ans. / 126 mm]
3. A steel shaft has a diameter of 25 mm. The shaft rotates at a speed of 600 r.p.m. and transmits 30 kW
through a gear. The tensile and yield strength of the material of shaft are 650 MPa and 353 MPa
respectively. Taking a factor of safety 3, select a suitable key for the gear. Assume that the key and
shaft are made of the same material.
[Ans./= 102 mm]
Transcribed Image Text:1. A shaft 80 mm diameter transmits power at maximum shear stress of 63 MPa. Find the length of a 20 mm wide key required to mount a pulley on the shaft so that the stress in the key does not exceed 42 MPa. [Ans. 152 mm] 2. A shaft 30 mm diameter is transmitting power at a maximum shear stress of 80 MPa. If a pulley is connected to the shaft by means of a key, find the dimensions of the key so that the stress in the key is not to exceed 50 MPa and length of the key is 4 times the width. [Ans. / 126 mm] 3. A steel shaft has a diameter of 25 mm. The shaft rotates at a speed of 600 r.p.m. and transmits 30 kW through a gear. The tensile and yield strength of the material of shaft are 650 MPa and 353 MPa respectively. Taking a factor of safety 3, select a suitable key for the gear. Assume that the key and shaft are made of the same material. [Ans./= 102 mm]
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