Two rods are joined between fixed supports as shown in the figure. Condition for no change in the lengths of individual rods with the increase of temperature will be
( $α_{1}, α_{2}$ = linear expansion coefficient
$A_{1}, A_{2}$ = Area of rods
$Y_{1}, Y_{2}$ = Young modulus)

Question

Infinity Learn · Accepted Answer

Y $$=$$ StressStrain $$=$$ TA∆llT $$=$$ Y.∆llA $$=Y$$ . Aα∆TIn both the rods tension will be same $$soT1$$ $$=$$ $$T2$$, Hence $$Y1A1$$α$$1$$∆T $$=$$ $$Y2A2$$α$$2$$∆$$TA1A2$$ $$=$$ $$Y2$$α$$2Y1$$α$$1$$

Two rods are joined between fixed supports as shown in the figure. Condition for no change in the lengths of individual rods with the increase of temperature will be
( $α_{1}, α_{2}$ = linear expansion coefficient
$A_{1}, A_{2}$ = Area of rods
$Y_{1}, Y_{2}$ = Young modulus)

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Two rods are joined between fixed supports as shown in the figure. Condition for no change in the lengths of individual rods with the increase of temperature will be (α1, α2 = linear expansion coefficientA1, A2 = Area of rodsY1, Y2 = Young modulus)

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Two rods are joined between fixed supports as shown in the figure. Condition for no change in the lengths of individual rods with the increase of temperature will be
( $α_{1}, α_{2}$ = linear expansion coefficient
$A_{1}, A_{2}$ = Area of rods
$Y_{1}, Y_{2}$ = Young modulus)