ra simply supported steel shaft as depicted below with 4 cm in diameter and 1 m span between s, carrying two gears weighing 100 and 80 kg. Calculate the critical speed of the shaft considering its ight as well. (Sy = 240 Mpa, Sut = 400 Mpa, E=210 GPa, density=7800 kg/m3) w1 = 100 kg w2 = 80 kg

ra simply supported steel shaft as depicted below with 4 cm in diameter and 1 m span between s, carrying two gears weighing 100 and 80 kg. Calculate the critical speed of the shaft considering its ight as well. (Sy = 240 Mpa, Sut = 400 Mpa, E=210 GPa, density=7800 kg/m3) w1 = 100 kg w2 = 80 kg

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 3.7.3P: A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at...

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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

Consider a simply supported steel shaft as depicted below with 4 cm in diameter and 1 m span between
bearings, carrying two gears weighing 100 and 80 kg. Calculate the critical speed of the shaft considering its
own weight as well. (Sy = 240 Mpa, Sut = 400 Mpa, E=210 GPa, density=7800 kg/m3)
w1 = 100 kg
w2 = 80 kg
0.2 m >
0.4 m
0.4 m
d= 4 cm
1.0 m

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