A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 4.00 in. and a wall thickness of 0.203 in. is fastened to a solid 1.75-in.-diameter aluminum [E = 10,000 ksi] rod. The assembly is attached to unyielding supports at the left and right ends and is loaded as shown. Assume P=18 kips, Q=12 kips, L₁=3 ft, L2=5 ft, and L3-5 ft. Determine (a) the stresses in all parts of the axial structure. (b) the deflections of joints B and C. P HH L2 Answers: A₁ = L₁ A₂ = A3 = Calculate the cross-sectional area of steel tube (1), A₁, and the cross-sectional area of the aluminum rods (2) and (3). 2.42 B 2.41 in.² (3) in.² L3 D

A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 4.00 in. and a wall thickness of 0.203 in. is fastened to a solid 1.75-in.-diameter aluminum [E = 10,000 ksi] rod. The assembly is attached to unyielding supports at the left and right ends and is loaded as shown. Assume P=18 kips, Q=12 kips, L₁=3 ft, L2=5 ft, and L3-5 ft. Determine (a) the stresses in all parts of the axial structure. (b) the deflections of joints B and C. P HH L2 Answers: A₁ = L₁ A₂ = A3 = Calculate the cross-sectional area of steel tube (1), A₁, and the cross-sectional area of the aluminum rods (2) and (3). 2.42 B 2.41 in.² (3) in.² L3 D

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

Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

Question

Parvinbhai

A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 4.00 in. and a wall thickness of 0.203 in. is fastened to a solid
1.75-in.-diameter aluminum [E = 10,000 ksi] rod. The assembly is attached to unyielding supports at the left and right ends and is
loaded as shown. Assume P=18 kips, Q=12 kips, L₁=3 ft, L2=5 ft, and L3=5 ft. Determine
(a) the stresses in all parts of the axial structure.
(b) the deflections of joints B and C.
A
Answers:
A₁ =
L₁
A₂ = A3 =
(1)
B
2.42
2.41
P
(2)
L2
Calculate the cross-sectional area of steel tube (1), A₁, and the cross-sectional area of the aluminum rods (2) and (3).
in.²
Q
in.²
(3)
L3
D

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Step 2: Finding areas of rod 1) & 2) & 3)

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Step 3: Finding relation between forces

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Step 4: Finding force acting on rod 2)

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Step 5: Finding stresses in rod 1) , 2) & 3)

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