A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.50 in. and a wall thickness of 0.201 in. is fastened to a solid 2.00-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=19 kips, Q=13 kips, L1=7 ft, L2=9 ft, and L3=9 ft. Determine(a) the stresses in all parts of the axial structure.(b) the deflections of joints B and C. Part 1A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.50 in. and a wall thickness of 0.201in. is fastened to a solid 2.00-in.-diameter aluminum [E = 10,000 ksi] rod. The assembly is attached tounyielding supports at the left and right ends and is loaded as shown. Assume P=19 kips, Q-13 kips, L₁=7ft, L₂=9 ft, and L3=9 ft. Determine(a) the stresses in all parts of the axial structure.(b) the deflections of joints B and C.AAnswers:A₁ =L₁A2 = A3 =B(1)PL₂CCalculate the cross-sectional area of steel tube (1), A₁, and the cross-sectional area of the aluminum rods(2) and (3).in.²Qin.²2(3)L3D Part 5Find the force in the steel tube (1), F₁, and the forces F₂ and F3, which are the forces in the aluminum rods. Use the correct sign for each force. By convention, a tension force is positive, and a compression force is negative.Answers:F₁-F₂-F3-Part 6Answers:01 =Find 0₁, 0₂, and 03, the normal stresses in members (1), (2), and (3), respectively. By convention, a tension stress is positive, and a compression stress is negative.0₂ =0₂ =Part 7Answers:kipsd₁ =kipsd =kipsksiDetermine 5₁ and 5₂, the deformations of members (1) and (2), respectively. By convention, a deformation is positive for a member that elongates, and it is negative for a member that is shortened.ksiksiin.in.

Given Outside diameter= 3.50 in

Answered: Part 5 Find the force in the steel tube…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.50 in. and a wall thickness of 0.201 in. is fastened to a solid 2.00-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=19 kips, Q=13 kips, L₁=7 ft, L₂=9 ft, and L₃=9 ft. Determine

(a) the stresses in all parts of the axial structure.
(b) the deflections of joints B and C.

Part 1
A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.50 in. and a wall thickness of 0.201
in. is fastened to a solid 2.00-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=19 kips, Q-13 kips, L₁=7
ft, L₂=9 ft, and L3=9 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 =
B
(1)
P
L₂
C
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.²2
(3)
L3
D

Part 5
Find the force in the steel tube (1), F₁, and the forces F₂ and F3, which are the forces in the aluminum rods. Use the correct sign for each force. By convention, a tension force is positive, and a compression force is negative.
Answers:
F₁-
F₂-
F3-
Part 6
Answers:
01 =
Find 0₁, 0₂, and 03, the normal stresses in members (1), (2), and (3), respectively. By convention, a tension stress is positive, and a compression stress is negative.
0₂ =
0₂ =
Part 7
Answers:
kips
d₁ =
kips
d =
kips
ksi
Determine 5₁ and 5₂, the deformations of members (1) and (2), respectively. By convention, a deformation is positive for a member that elongates, and it is negative for a member that is shortened.
ksi
ksi
in.
in.

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