area A2) iS Tixed a and free at end C (see figure). The modu honprismatic bar ABC made up of segments AB (length L1, cross-sectional area Aı) and BC (length L2, Cro elasticity of the bar is E. A small gap of dimension s exists between the end of the bar and an elastic spring of length L3 and spring constant k3. If bar ABC only (not the spring) is subjected te mperature increase AT determine the following. Temperature expansion coefficient is denoted as a. t end RA α, ΔΤ Rp A LEA LĻEA, C Laka B Write an expression for reaction force RA if the elongation of ABC exceeds gap length s. Write an expression for reaction force Rp if the elongation of ABC exceeds gap length s. Find an expression for the displacement of point B if the elongation of ABC exceeds gap length s. Find an expression for the displacement of point C if the elongation of ABC exceeds gap length s.

area A2) iS Tixed a and free at end C (see figure). The modu honprismatic bar ABC made up of segments AB (length L1, cross-sectional area Aı) and BC (length L2, Cro elasticity of the bar is E. A small gap of dimension s exists between the end of the bar and an elastic spring of length L3 and spring constant k3. If bar ABC only (not the spring) is subjected te mperature increase AT determine the following. Temperature expansion coefficient is denoted as a. t end RA α, ΔΤ Rp A LEA LĻEA, C Laka B Write an expression for reaction force RA if the elongation of ABC exceeds gap length s. Write an expression for reaction force Rp if the elongation of ABC exceeds gap length s. Find an expression for the displacement of point B if the elongation of ABC exceeds gap length s. Find an expression for the displacement of point C if the elongation of ABC exceeds gap length s.

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 nonprismatic bar ABC made up of segments AB (length Li , cross-sectional area A1) and BC (length L2, cross-sectional area A2) is fixed at end A and free at end C (see figure). The modulus
of elasticity of the bar is E. A small gap of dimension s exists between the end of the bar and an elastic spring of length L3 and spring constant k3. If bar ABC only (not the spring) is subjected to
temperature increase AT determine the following. Temperature expansion coefficient is denoted as a.
RA
α, ΔΤ
Rp
A
LEA2 C
L3ks
LEA
B
(a) Write an expression for reaction force RA if the elongation of ABC exceeds gap length s.
(b) Write an expression for reaction force Rp if the elongation of ABC exceeds gap length s.
(C) Find an expression for the displacement of point B if the elongation of ABC exceeds gap length s.
(d) Find an expression for the displacement of point C if the elongation of ABC exceeds gap length s.

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