Solid and hollow shafts are most often used to provide power transmission of the rotating motion from the power source/engine to the car's wheels. In car manufacturing factory, your role is to determine the distribution of shear stress and the angular deflection due to predefined applied torsions to analyses and investigate the minimum and maximum stresses generated in the shafts. Considering the shaft in Figure.3, including a hollow part AB and solid part BC, your manger asked you to perform the following tasks: 1- determine the maximum and minimum shearing stress in shaft AB, giving that the outer diameter is 90 mm. 2- Sketch the distribution of the shear stress due to torsion in shaft AB. (simple sketch of shear stress “t" vs. shaft radius “p" for the elastic region) 3- Make a simple sketch the distribution of the angular deflection due to torsion in shaft AB. (simple sketch of torsion “T" vs. angle of twist “Q" for the elastic region) 4- Determine the required diameter of the solid shaft BC, if the allowable shearing stress is given as 75 MPa. 5- Sketch the distribution of the shear stress due to torsion in shaft BC. 6- Make a simple sketch to show the distribution of the angular deflection due to torsion in shaft BC.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Project 3:
Solid and hollow shafts are most often used to provide power transmission of the rotating motion from the power
source/engine to the car's wheels. In car manufacturing factory, your role is to determine the distribution of shear
stress and the angular deflection due to predefined applied torsions to analyses and investigate the minimum and
maximum stresses generated in the shafts. Considering the shaft in Figure.3, including a hollow part AB and
solid part BC, your manger asked you to perform the following tasks:
1- determine the maximum and minimum shearing stress in shaft AB, giving that the outer diameter is 90 mm.
2- Sketch the distribution of the shear stress due to torsion in shaft AB. (simple sketch of shear stress “t" vs.
shaft radius "p" for the elastic region)
3- Make a simple sketch the distribution of the angular deflection due to torsion in shaft AB. (simple sketch of
torsion "T" vs. angle of twist “D" for the elastic region)
4- Determine the required diameter of the solid shaft BC, if the allowable shearing stress is given as 75 MPa.
5- Sketch the distribution of the shear stress due to torsion in shaft BC.
6- Make a simple sketch to show the distribution of the angular deflection due to torsion in shaft BC.
C
, 71 mm
10 kN-m
A
5 kN-m
Figure.3: Solid and hollow shafts in car's engine-wheel system.
B.
Transcribed Image Text:Project 3: Solid and hollow shafts are most often used to provide power transmission of the rotating motion from the power source/engine to the car's wheels. In car manufacturing factory, your role is to determine the distribution of shear stress and the angular deflection due to predefined applied torsions to analyses and investigate the minimum and maximum stresses generated in the shafts. Considering the shaft in Figure.3, including a hollow part AB and solid part BC, your manger asked you to perform the following tasks: 1- determine the maximum and minimum shearing stress in shaft AB, giving that the outer diameter is 90 mm. 2- Sketch the distribution of the shear stress due to torsion in shaft AB. (simple sketch of shear stress “t" vs. shaft radius "p" for the elastic region) 3- Make a simple sketch the distribution of the angular deflection due to torsion in shaft AB. (simple sketch of torsion "T" vs. angle of twist “D" for the elastic region) 4- Determine the required diameter of the solid shaft BC, if the allowable shearing stress is given as 75 MPa. 5- Sketch the distribution of the shear stress due to torsion in shaft BC. 6- Make a simple sketch to show the distribution of the angular deflection due to torsion in shaft BC. C , 71 mm 10 kN-m A 5 kN-m Figure.3: Solid and hollow shafts in car's engine-wheel system. B.
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