The shaft of a hand operated wire rope hoist is supported on bearings A and B. The shaft is keyed to the drum of diameter of 200mm and the wire rope is turned around it. A tangential load of 4500 N is applied at the end of the rope. The yield stress for the shaft material is taken as 310 MN/m?. a. Calculate the maximum and minimum principal stresses in the shaft b. Calculate the required shaft diameter d based upon Tresca theory of failure using a factor of safety of 3 c. Determine the factor of safety for the shaft diameter d as obtained in (b) above based upon von-Mises theory of failure. Comment on the value obtained

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
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Dont copy from chegg its wrong over there

4. The shaft of a hand operated wire rope hoist is supported on bearings A and B. The
shaft is keyed to the drum of diameter of 200mm and the wire rope is turned around it.
A tangential load of 4500 N is applied at the end of the rope. The yield stress for the
shaft material is taken as 310 MN/m?.
a. Calculate the maximum and minimum principal stresses in the shaft
b. Calculate the required shaft diameter d based upon Tresca theory of failure using a
factor of safety of 3
c. Determine the factor of safety for the shaft diameter d as obtained in (b) above based
upon von-Mises theory of failure. Comment on the value obtained
200тm,
300тm
A.
Bearing
200mm
Shaft
Bearing
Drum
75mm
4500 N
= 96 N/mm2]
[Ans d= 44.18mm; 0, = -7.144N/mm2; 0,
Transcribed Image Text:4. The shaft of a hand operated wire rope hoist is supported on bearings A and B. The shaft is keyed to the drum of diameter of 200mm and the wire rope is turned around it. A tangential load of 4500 N is applied at the end of the rope. The yield stress for the shaft material is taken as 310 MN/m?. a. Calculate the maximum and minimum principal stresses in the shaft b. Calculate the required shaft diameter d based upon Tresca theory of failure using a factor of safety of 3 c. Determine the factor of safety for the shaft diameter d as obtained in (b) above based upon von-Mises theory of failure. Comment on the value obtained 200тm, 300тm A. Bearing 200mm Shaft Bearing Drum 75mm 4500 N = 96 N/mm2] [Ans d= 44.18mm; 0, = -7.144N/mm2; 0,
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