PROBLEM 3.5 -8 Prob. 3.5-7. A steel pipe with outer diameter d, and innerdiameter d, and a solid aluminum-alloy rod of diameter dform a three-segment system that undergoes axial deforma-tion due to a single load Pc acting on a collar at point C, asshown 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)Bd(2)Ic(3)Dd, dPcL,Р3.5-7, Р3.5-8, Р3.8-3, Р3.8-4, Р3.8-26, Р3.9-4,and P11.7-11Prob. 3.5-8. Solve Prob. 3.5-7 using the dimensions, materialproperties, and load given below.d, = 50 mm, d, = 36 mm, d = 20 mmL1 = L2 = 1 m, L3 = 2 m, Pc = 50 kNE1210 GPa, E2 = E3 = 70 GPa

###Calculation of Stresses and displacement ###

Answered: Prob. 3.5-8. Solve Prob. 3.5-7 using…

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Types of Composite

Composite materials are formed by merging two components that have different chemical and physical properties. The merged output is termed as a composite, whose properties are completely different from the individual components. Composite materials also have better strength than the individual components.Composite materials usually have two main parts, reinforcement material, and matrix material. The matrix material acts as a binder and surrounds the fiber of another material that bears a much higher strength. This material is known as the reinforcement material. The matrix materials are usually high-strength additives resins, while the fibers of the reinforced material can be random, oriented, and in a mat format.Composite materials are also known as fiber-reinforced composite polymers because they are composed of the polymer matrix which is reinforced to laboratory-created fibers or naturally occurring fibers, such as glass fibers, carbon fibers, or aramid fibers. Under the application of external loads, the matrix material absorbs and transfers the loads to the fibers, these fibers in return provide good compressive strength, tensile strength, and stiffness to the fiber-reinforced composite materials.Depending upon the matrix and the reinforcement material, different properties can be induced to the fiber-reinforced composite materials, including good corrosion resistance properties. The most common matrix material is the resin while the glass fibers act as the reinforcement material. Strong fibers provide strength and stiffness to the composite materials while, a soft and flexible resin provides shape to the composite materials.

Question

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

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