A 30 m segment of railroad track is clamped to the ground at both ends when the temperature outside is 0C by strong steel pins. Thermal expansion is α=10 x 10-6 /C, Young’s Modulus Y is 1011 Pa. The temperature is then increased by an amount ΔT. A. The pressure is Y B. The pressure is 0 C. The pressure depends on the cross-sectional area of the tracks D. The pressure is Yα ΔT E. The pressure is Y∆T Lo Lo+∆TL�

The pressure due to thermal expansion on the segment of rail is

Explanation:

As we know by law of thermal expansion the increase in length due to temperature change is given as

so we can find the thermal strain as

Now by law of elasticity we know that

So we have

from above equation of strain we have

So above is the pressure due to thermal expansion on the segment of rail

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