Two rods of different materials having coefficients of linear expansion $\alpha_1, \alpha_2$ and Young's moduli $Y_1$ and $Y_2$ 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 rods. If $\alpha_1 : \alpha_2 = 2 : 3$ , the thermal stresses developed in the two rods are equally provided $Y_1 \cdot Y_2$ is equal to
Text Solution
Verified by ExpertsC
Thermal stress = $Y \alpha \Delta \theta$ .
If thermal stress and rise in temperature are equal then $Y \propto \frac{1}{\alpha}$ ⇒ ⇒ $\frac{Y_1}{Y_2} = \frac{\alpha_2}{\alpha_1} = \frac{3}{2}$
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems