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Two rods are joined between fixed suppor...

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

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Since tensions in the two rods are same,
`F_(1) = F_(2) rArr Y_(1) A_(1) alpha_(1) Delta theta = Y_(2) A_(2) alpha_(2) Delta theta rArr Y_(1) A_(1) alpha_(1) = Y_(2) A_(2) alpha_(2)`
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