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
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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
Transcribed Image Text: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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