The rod shown in the figure has two cross-sectional areas, where the area of the larger cross-section is 6 times larger than the smaller. The rod is subjected to three point loads, P₁, P2, and P3 at points B, C, and D, respectively. You may assume that the bar deforms in a linear-elastic manner. The cross section of the small rod is equal to A = 2 in² and the modulus of elasticity is equal to E = 20,000 ksi. a) Find the support reactions at A and E, if P₁ = 10 kips, P2 = 20 kips and P3 = 40 kips. b) Draw the axial force diagram. c) Identify how the position of point C changes due to the applied loadings. A 12 in B P₁ 11 in C P₂ 11 in D P3 12 in E

The rod shown in the figure has two cross-sectional areas, where the area of the larger cross-section is 6 times larger than the smaller. The rod is subjected to three point loads, P₁, P2, and P3 at points B, C, and D, respectively. You may assume that the bar deforms in a linear-elastic manner. The cross section of the small rod is equal to A = 2 in² and the modulus of elasticity is equal to E = 20,000 ksi. a) Find the support reactions at A and E, if P₁ = 10 kips, P2 = 20 kips and P3 = 40 kips. b) Draw the axial force diagram. c) Identify how the position of point C changes due to the applied loadings. A 12 in B P₁ 11 in C P₂ 11 in D P3 12 in E

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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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 rod shown in the figure has two cross-sectional areas, where the area of the larger cross-section
is 6 times larger than the smaller. The rod is subjected to three point loads, P₁, P2, and P3 at points
B, C, and D, respectively. You may assume that the bar deforms in a linear-elastic manner. The
cross section of the small rod is equal to A = 2 in² and the modulus of elasticity is equal to E =
20,000 ksi.
a) Find the support reactions at A and E, if P₁
=
b) Draw the axial force diagram.
c) Identify how the position of point C changes due to the applied loadings.
A
12 in
B P₁
11 in
C
10 kips, P₂ = 20 kips and P3 = 40 kips.
P₂
11 in
D
P3
E
the axu
12 in

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