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A steel wire and a copper wire of equal length and equal cross-sectional area are joined end to end and the combination is subjected to a tension. Find the ratio of (a) the stresses developed in the two wires and (b) the strains developed. Y of steel = 2 × 1011 N m-2, Y of copper = 1.3 × 10 11 N m-2.

A steel wire and a copper wire of equal length and equal cross-sectional area are joined end to end and the combination is subjected to a tension. Find the ratio of (a) the stresses developed in the two wires and (b) the strains developed. Y of steel = 2 × 1011 N m-2, Y of copper = 1.3 × 10 11 N m-2.

Grade:10

1 Answers

Deepak Patra
askIITians Faculty 471 Points
7 years ago
Sol. Lsteel = Lcu and Asteel = Acu a) Stress of cu/Stress of st = Fcu/Acu Ag/Fg = Fcu/Fst = 1 b) Strain = ∆Lst/∆lcu = Fst Lst/AstYst . Acu Ycu/ Fcu lcu (∴ Lcu = lst ; Acu = Ast)

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