A circular post, a rectangular post, and a post of cruciform cross section are each compressed by loads that produce a resultant force P acting at the edge of the cross section (see figure). P b 4 x: = b 4 Load P here - d-y The diameter of the circular post and the depths of the rectangular and cruciform posts are the same. (a) For what width b of the rectangular post will the maximum tensile stresses be the same in the circular and rectangular posts? (Use the following as necessary: d.) b = (b) For what width b of the cruciform post will the maximum tensile stresses be the same in the circular and cruciform posts? (Use the following as necessary: d.) b = (c) Under the conditions described in parts (a) and (b), which post has the largest compressive stress? O circular post O rectangular post O cruciform post

A circular post, a rectangular post, and a post of cruciform cross section are each compressed by loads that produce a resultant force P acting at the edge of the cross section (see figure). P b 4 x: = b 4 Load P here - d-y The diameter of the circular post and the depths of the rectangular and cruciform posts are the same. (a) For what width b of the rectangular post will the maximum tensile stresses be the same in the circular and rectangular posts? (Use the following as necessary: d.) b = (b) For what width b of the cruciform post will the maximum tensile stresses be the same in the circular and cruciform posts? (Use the following as necessary: d.) b = (c) Under the conditions described in parts (a) and (b), which post has the largest compressive stress? O circular post O rectangular post O cruciform post

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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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 circular post, a rectangular post, and a post of cruciform cross section are each compressed by loads that produce a
resultant force P acting at the edge of the cross section (see figure).
P
4 x
= b
Load P here
4 x
d
4
- d-
The diameter of the circular post and the depths of the rectangular and cruciform posts are the same.
(a) For what width b of the rectangular post will the maximum tensile stresses be the same in the circular and
rectangular posts? (Use the following as necessary: d.)
b =
(b) For what width b of the cruciform post will the maximum tensile stresses be the same in the circular and cruciform
posts? (Use the following as necessary: d.)
b =
(c) Under the conditions described in parts (a) and (b), which post has the largest compressive stress?
O circular post
rectangular post
cruciform post

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