Two similar bars of Steel and Aluminium are heated to a same temperature. Forces are applied at the ends of the bars to maintain their lengths unaltered. If the ratio of Young's moduli of Steel and Aluminium is 3, and the ratio of the coefficients of thermal expansion of Steel to that of Aluminium is 0.5, what is the stress on the Aluminium bar if the stress on the Steel bar is 100 MPa?

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter5: Phase Transformations And Phase Diagrams
Section: Chapter Questions
Problem 5.5P
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Two similar bars of Steel and Aluminium are
heated to a same temperature. Forces are
applied at the ends of the bars to maintain their
lengths unaltered. If the ratio of Young's moduli
of Steel and Aluminium is 3, and the ratio of the
coefficients of thermal expansion of Steel to that
of Aluminium is 0.5, what is the stress on the
Aluminium bar if the stress on the Steel bar is
100 MPa?
Transcribed Image Text:Two similar bars of Steel and Aluminium are heated to a same temperature. Forces are applied at the ends of the bars to maintain their lengths unaltered. If the ratio of Young's moduli of Steel and Aluminium is 3, and the ratio of the coefficients of thermal expansion of Steel to that of Aluminium is 0.5, what is the stress on the Aluminium bar if the stress on the Steel bar is 100 MPa?
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