The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 94 GPa] with a cross-sectional area of A₁ = 350 mm². Bar (2) is an aluminum alloy [E = 69 GPa] with a cross-sectional area of A2 = 590 mm². Assume L₁= 2220 mm, a = 1100 mm, b = 640 mm, c = 480 mm, and L₂=1710 mm. If a load of P = 26 KN is applied at B, determine (a) the normal stresses (positive if in tension and negative if in compression) in both bars (1) and (2). (b) the downward deflection of point A on the rigid bar. LA (1) a C b D L2

The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 94 GPa] with a cross-sectional area of A₁ = 350 mm². Bar (2) is an aluminum alloy [E = 69 GPa] with a cross-sectional area of A2 = 590 mm². Assume L₁= 2220 mm, a = 1100 mm, b = 640 mm, c = 480 mm, and L₂=1710 mm. If a load of P = 26 KN is applied at B, determine (a) the normal stresses (positive if in tension and negative if in compression) in both bars (1) and (2). (b) the downward deflection of point A on the rigid bar. LA (1) a C b D L2

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

The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E =
94 GPa] with a cross-sectional area of A₁ = 350 mm². Bar (2) is an aluminum alloy [E = 69 GPa] with a cross-sectional area of A2 = 590
mm². Assume L₁= 2220 mm, a = 1100 mm, b = 640 mm, c = 480 mm, and L₂ = 1710 mm. If a load of P = 26 kN is applied at B, determine
(a) the normal stresses (positive if in tension and negative if in compression) in both bars (1) and (2).
(b) the downward deflection of point A on the rigid bar.
L₁
Answers:
(a) 0₁ =
0₂ =
(b) VA=
(1)
i
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i
i
a
B
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C
b
MPa
MPa
mm
(2)
D
L2
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