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Mechanical Properties of Solids

Stress and strain

A steel wire and a copper wire of equal length and equal cross

Question

Medium

Solving time: 3 mins

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,
(b) the strains developed. ( $Y$ of steel $= 2 \times 1 0^{11} N / m^{2}$ and $Y$ of copper $= 1.3 \times 1 0^{11} N / m^{2}$ )

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Book:

Mechanics Volume 2 (DC Pandey)

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Oliver Discussed

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,
(b) the strains developed. (

Y

of steel

= 2 \times 1 0^{11} N / m^{2}

and

Y

of copper

= 1.3 \times 1 0^{11} N / m^{2}

)

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

(a)

σ = \frac{F}{A}

F

and

A

both are same. Hence, the ratio is

1.

(b) Strain

= \frac{Stress}{Y} \propto \frac{1}{Y}

∴ \frac{( Strain ) _{steel}}{( Strain ) _{copper}} = \frac{Y _{copper}}{Y _{steel}} = \frac{13}{20}

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Question Text	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, (b) the strains developed. ( $Y$ of steel $= 2 \times 1 0^{11} N / m^{2}$ and $Y$ of copper $= 1.3 \times 1 0^{11} N / m^{2}$ )
Topic	Mechanical Properties of Solids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	110

Text solutionVerified

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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,(b) the strains developed. ( Y of steel =2×1011 N/m2 and Y of copper =1.3×1011 N/m2 )

Text solutionVerified

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