A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made up of steel (Es= 200 GPa, ɑs = 11.7 x 10-6/ºC) and portion BC is made up of brass (Eb = 105 GPa, ab = 20.9 x 10/°C). Knowing that the rod is initially unstressed, a.) Determine the stresses induced in the steel and brass segments when there is a temperature rise of 50°C. b.) If there is a gap of 0.2 mm between point C and the lower support, determine the amount of reduction of the support reactions.

A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made up of steel (Es= 200 GPa, ɑs = 11.7 x 10-6/ºC) and portion BC is made up of brass (Eb = 105 GPa, ab = 20.9 x 10/°C). Knowing that the rod is initially unstressed, a.) Determine the stresses induced in the steel and brass segments when there is a temperature rise of 50°C. b.) If there is a gap of 0.2 mm between point C and the lower support, determine the amount of reduction of the support reactions.

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

Bars

In civil engineering, bars refer to steel reinforcement bars or rebars. These are structural members primarily used for reinforcement purposes in masonry works. A bar is characterized by its cross-sectional area, which is negligible compared to its length. Bars are usually manufactured by steel which is uniform throughout the length, or by meshing multiple steel wires. Other materials of the bar include carbon steel, glass fiber, carbon fiber, and basalt fiber. The reinforcing bars are coated with epoxy resins and other materials to enhance some of their properties including corrosion resistance.

Question

A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made up
of steel (Es = 200 GPa, as = 11.7 x 106/°C) and portion BC is made up of brass (Eb = 105 GPa, ab = 20.9
x 10°C).
Knowing that the rod is initially unstressed,
a.) Determine the stresses induced in the steel and brass segments when there is a temperature rise of
50°C.
b.) If there is a gap of 0.2 mm between point C and the lower support, determine the amount of
reduction of the support reactions.
A
30-mm diameter
250 mm
B
50-mm diameter
300 mm
C

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