A nonprismatic bar ABC made up of segments AB (length Lị . cross-sectional area S1) and BC (length L2, cross-sectional area S2) 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 d 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.

A nonprismatic bar ABC made up of segments AB (length Lị . cross-sectional area S1) and BC (length L2, cross-sectional area S2) 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 d 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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A nonprismatic bar ABC made up of segments AB (length Lị . cross-sectional area S1) and BC (length
L2, cross-sectional area S2) 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 d 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
B LES; C
Lzks
ww.
L,ES
(a) Write an expression for reaction force RA if the elongation of ABC exceeds gap length d.
(b) Write an expression for reaction force Rp if the elongation of ABC exceeds gap length d.
(C) Find an expression for the displacement of point B if the elongation of ABC exceeds gap length d.
(d) Find an expression for the displacement of point C if the elongation of ABC exceeds gap length d.

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