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Unformatted text preview: Element 1 undergoes temperature change ∆ T 1 and Element 2 undergoes temperature change ∆ T 2 . (a) Find the displacement of the center node caused by this temperature difference ∆ T 1 and ∆ T 2 in terms of the parameters A 1,2 , E 1,2 , L 1,2 , α 1,2 , ∆ T i . (b) The temperature difference is now removed (everything is back at the temperature where it started so there are no thermal stresses) and replaced by a mechanical force. What is the magnitude of the force that would need to be applied at the center node to cause the elements to experience the same stresses they experienced during the thermal loading? Express the force in terms of the parameters in terms of the parameters A 1,2 , E 1,2 , L 1,2 , α 1,2 , ∆ T i . ( Hint: this question does not require significant additional manipulation ). A 1 , E 1 , L 1 , α 1 A 2 , E 2 , L 2 , α 2 Element 1 Element 2 P...
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 Fall '08
 Chen

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