Heat and Thermal ExpansionEasy
Question
Two rods of different materials having coefficents of thhermal expansion α1, α2 and Young′s moduli Y1, Y2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If α1, α2 = 2 : 3, the thermal stresses developed in the two rods are equal provided Y1 : Y2 is equal to
Options
A.2 : 3
B.1 : 1
C.3 : 2
D.4 : 9
Solution
Thermal stress σ = Y α ᐃθ
Given, σ1 = σ2
∴ y1α1 ᐃθ = Y2α2ᐃθ or
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