A rod of length L 0 is clamped rigidly at both ends. Its temperature increases b

Question

A rod of length L0 is clamped rigidly at both ends. Its temperature increases by an amount ?T, and in the ensuing expansion it cracks to form two straight pieces, as shown in the figure (Figure 1) .

Find an expression for the distance

d shown in the figure, in terms of L0, ?T, and the coefficient of linear expansion ?.

A rod of length L0 is clamped rigidly at both ends. Its temperature increases by an amount ?T, and in the ensuing expansion it cracks to form two straight pieces, as shown in the figure (Figure 1) . Find an expression for the distance shown in the figure, in terms of L0, ?T, and the coefficient of linear expansion ?.

Explanation / Answer

d=(L0/2)*sqrt(?^2*?T^2+2*?T*?)

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