he diameter of pulley A is 150 mm and the diameter of pulley B is 480 mm. The allowable tensile stress for the shaft material is 170 MPa and the allowable shear stress is 85 MPa. Taking torsion and bending factors as 1.25 and 1.75 respectively, find the shaft diameter. Also find out the dimensions for a hollow shaft with outside diameter limited to 30 mm. Compare the weights of the two shafts. [Ans. 30 mm ; 24 mm ; 1.82 Given

he diameter of pulley A is 150 mm and the diameter of pulley B is 480 mm. The allowable tensile stress for the shaft material is 170 MPa and the allowable shear stress is 85 MPa. Taking torsion and bending factors as 1.25 and 1.75 respectively, find the shaft diameter. Also find out the dimensions for a hollow shaft with outside diameter limited to 30 mm. Compare the weights of the two shafts. [Ans. 30 mm ; 24 mm ; 1.82 Given

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.3.14P: The steel axle of a large winch on an ocean liner is subjected to a torque of 1.65 kN · m (see...

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

The shaft, is driven by pulley B from an electric motor. Another belt drive
from pulley A is running a compressor. The belt tensions for pulley A are 1500 N and 600 N. The ratio
of belt tensions for pulley B is 3.5.

The diameter of pulley A is 150 mm and the diameter of pulley B is 480 mm. The allowable tensile
stress for the shaft material is 170 MPa and the allowable shear stress is 85 MPa. Taking torsion and
bending factors as 1.25 and 1.75 respectively, find the shaft diameter.
Also find out the dimensions for a hollow shaft with outside diameter limited to 30 mm. Compare the
weights of the two shafts. [Ans. 30 mm ; 24 mm ; 1.82

Given

Length CD=350mm

Length AB=150mm

Length BD=100mm

The total length is CD =350

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