A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal before the load P is applied. Bars (1) and (2) are both made from steel [E = 30,000 ksi] and both have a cross-sectional area of 1.5 in.². Assume lengths of a = 32 in., b = 52 in., c = 24 in., L₁= 55 in., and L₂ = 100 in. The normal stress in bars (1) and (2) must be limited to 48 ksi. Determine the maximum load P that may be applied to the rigid bar.

A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal before the load P is applied. Bars (1) and (2) are both made from steel [E = 30,000 ksi] and both have a cross-sectional area of 1.5 in.². Assume lengths of a = 32 in., b = 52 in., c = 24 in., L₁= 55 in., and L₂ = 100 in. The normal stress in bars (1) and (2) must be limited to 48 ksi. Determine the maximum load P that may be applied to the rigid bar.

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

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal before the load P is applied.
Bars (1) and (2) are both made from steel [E = 30,000 ksi] and both have a cross-sectional area of 1.5 in.².
Assume lengths of a = 32 in., b = 52 in., c = 24 in., L₁= 55 in., and L₂ = 100 in.
The normal stress in bars (1) and (2) must be limited to 48 ksi. Determine the maximum load P that may be applied to the rigid bar.
Answer:
Pmax=
Mi
L₁
a
(1)
B
Rigid bar
b
4₂
kips
D

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