PART ONE

A steel railroad track has a length of 28 m

when the temperature is 2◦C.

What is the increase in the length of the

rail on a hot day when the temperature is

35 ◦C? The linear expansion coefficient of

steel is 11 × 10^−6(◦C)^−1

.

Answer in units of m

PART TWO
Suppose the ends of the rail are rigidly
clamped at 2◦C to prevent expansion.
Calculate the thermal stress in the rail if
its temperature is raised to 35 ◦C. Young’s
modulus for steel is 20 × 10^10 N/m^2
Answer in units of N/m^2