A 2.8-in.-diameter solid aluminum post is subjected to a horizontal force of Px = 9.2 kips, a vertical force of Py = 23 kips, and a concentrated torque of T = 4.2 kip-ft, acting in the directions shown. Assume L = 5 in. The yield strength of the aluminum is Gy = 42 ksi, and a minimum factor of safety of FSmin = 1.67 is required by specification. Consider points H and K, and determine whether the aluminum post satisfies the specifications according to: (a) the maximum-shear-stress theory. (b) the maximum-distortion-energy theory.

A 2.8-in.-diameter solid aluminum post is subjected to a horizontal force of Px = 9.2 kips, a vertical force of Py = 23 kips, and a concentrated torque of T = 4.2 kip-ft, acting in the directions shown. Assume L = 5 in. The yield strength of the aluminum is Gy = 42 ksi, and a minimum factor of safety of FSmin = 1.67 is required by specification. Consider points H and K, and determine whether the aluminum post satisfies the specifications according to: (a) the maximum-shear-stress theory. (b) the maximum-distortion-energy 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

A 2.8-in.-diameter solid aluminum post is subjected to a horizontal force of Px = 9.2 kips, a vertical force of Py = 23 kips, and a
concentrated torque of T = 4.2 kip-ft, acting in the directions shown. Assume L = 5 in. The yield strength of the aluminum is
Oy = 42 ksi, and a minimum factor of safety of FSmin = 1.67 is required by specification. Consider points Hand K, and determine
whether the aluminum post satisfies the specifications according to:
(a) the maximum-shear-stress theory.
(b) the maximum-distortion-energy
theory.
Answers:
T
FSH =
"
i 0.64
Py
(a) Maximum-shear-stress theory
HK
FSK = i 0.64
Acceptable? (Yes = 1, No = 0) 0
(b) Maximum-distortion-energy theory
FSH = i
FSk =
Acceptable? (Yes = 1, No = 0)
Px
0
x

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