The rotating solid steel shaft is simply supported by bearings at points B and C and is driven by a gear (not shown) which meshes with the spur gear at D, which 250 mm has a 150 mm pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A of T = 340 N. m. The shaft 100 mm is machined from steel with Sy = 420 MPa. Using a factor of safety of 2.5, determine the minimum allowable diameter of the 250 mm section of the shaft based on a static yield analysis using the distortion energy theory and maximum shear stress theory.

The rotating solid steel shaft is simply supported by bearings at points B and C and is driven by a gear (not shown) which meshes with the spur gear at D, which 250 mm has a 150 mm pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A of T = 340 N. m. The shaft 100 mm is machined from steel with Sy = 420 MPa. Using a factor of safety of 2.5, determine the minimum allowable diameter of the 250 mm section of the shaft based on a static yield analysis using the distortion energy theory and maximum shear stress theory.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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 rotating solid steel shaft is simply supported by bearings at points B and C
and is driven by a gear (not shown) which meshes with the spur gear at D, which
250 mm
has a 150 mm pitch diameter. The force F from the drive gear acts at a pressure
angle of 20°. The shaft transmits a torque to point A of T = 340 N. m. The shaft
100 mm
is machined from steel with S, = 420 MPa. Using a factor of safety of 2.5,
determine the minimum allowable diameter of the 250 mm section of the shaft
based on a static yield analysis using the distortion energy theory and maximum
shear stress theory.

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