Prob. 3.5-8. Solve Prob. 3.5-7 using the dimensions, material properties, and load given below. d, = 50 mm, d, = 36 mm, d = 20 mm L = L2 = 1 m, L3 = 2 m, Pc = 50 kN %3D E, = 210 GPa, E = E = 70 GPa

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
Section: Chapter Questions
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PROBLEM 3.5 -8

Prob. 3.5-7. A steel pipe with outer diameter d, and inner
diameter d, and a solid aluminum-alloy rod of diameter d
form a three-segment system that undergoes axial deforma-
tion due to a single load Pc acting on a collar at point C, as
shown in Fig. P3.5-7. (a) Calculate the axial stresses ơ, 72,
and o3, in the three elements, and (b) determine the dis-
placements ug and uc-
d, = 2 in., d; = 1.5 in., d = 0.75 in.
L, = L2 = 30 in., La = 50 in.
Pc = 12 kips, E, = 30 × 10° ksi, E, = E, = 10 × 10 ksi
%3D
(1)
B
d
(2)
Ic
(3)
D
d, d
Pc
L,
Р3.5-7, Р3.5-8, Р3.8-3, Р3.8-4, Р3.8-26, Р3.9-4,
and P11.7-11
Prob. 3.5-8. Solve Prob. 3.5-7 using the dimensions, material
properties, and load given below.
d, = 50 mm, d, = 36 mm, d = 20 mm
L1 = L2 = 1 m, L3 = 2 m, Pc = 50 kN
E1
210 GPa, E2 = E3 = 70 GPa
Transcribed Image Text:Prob. 3.5-7. A steel pipe with outer diameter d, and inner diameter d, and a solid aluminum-alloy rod of diameter d form a three-segment system that undergoes axial deforma- tion due to a single load Pc acting on a collar at point C, as shown in Fig. P3.5-7. (a) Calculate the axial stresses ơ, 72, and o3, in the three elements, and (b) determine the dis- placements ug and uc- d, = 2 in., d; = 1.5 in., d = 0.75 in. L, = L2 = 30 in., La = 50 in. Pc = 12 kips, E, = 30 × 10° ksi, E, = E, = 10 × 10 ksi %3D (1) B d (2) Ic (3) D d, d Pc L, Р3.5-7, Р3.5-8, Р3.8-3, Р3.8-4, Р3.8-26, Р3.9-4, and P11.7-11 Prob. 3.5-8. Solve Prob. 3.5-7 using the dimensions, material properties, and load given below. d, = 50 mm, d, = 36 mm, d = 20 mm L1 = L2 = 1 m, L3 = 2 m, Pc = 50 kN E1 210 GPa, E2 = E3 = 70 GPa
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