A steel wire of length 10 cm is to be kept at constant length while its temperature is raised by 100 deg C. Find the pressure (stress) that must be applied to its ends. Take Young's modulus Y = 2*10¹¹ N m⁻² and coefficient of linear thermal expansion alpha = 1.1*10⁻⁵ K⁻¹.

Question

Accepted Answer

2.2 * 10⁸ Pa. The stress required equals Y*alpha*delta T = 2e11 * 1.1e-5 * 100 = 2.2e8 Pa, independent of length.

A steel wire of length 10 cm is to be kept at constant length while its temperature is raised by 100 deg C. Find the pressure (stress) that must be applied to its ends. Take Young's modulus Y = 210¹¹ N m⁻² and coefficient of linear thermal expansion alpha = 1.110⁻⁵ K⁻¹.

Solution

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