Question

The 40 -ft-long $A-36$ steel rails on a train track are laid with a small gap between them to allow for thermal expansion. Determine the required gap $\delta$ so that the rails just touch one another when the temperature is increased from $T_{1}=-20^{\circ} \mathrm{F}$ to $T_{2}=90^{\circ} \mathrm{F}$, Using this gap, what would be the axial force in the rails if the temperature were to rise to $T_{3}=110^{\circ} \mathrm{F}$ ? The cross-sectional area of each rail is 5.10 in $^{2}$.

Name: The 40 -ft-long A-36 steel rails on a train track are laid with a small gap between them to allow for thermal expansion. Determine the required gap δ so that the rails just touch one another when the temperature is increased from T1=-20^∘F to T2=90^∘F, Using this gap, what would be the axial force in the rails if the temperature were to rise to T3=110^∘F ? The cross-sectional area of each rail is 5.10 in ^2.
Uploaded: 2022-02-08T11:49:57-08:00
Duration: 7 min 31 s
Channel: Arjun Singh

          The 40 -ft-long $A-36$ steel rails on a train track are laid with a small gap between them to allow for thermal expansion. Determine the required gap $\delta$ so that the rails just touch one another when the temperature is increased from $T_{1}=-20^{\circ} \mathrm{F}$ to $T_{2}=90^{\circ} \mathrm{F}$, Using this gap, what would be the axial force in the rails if the temperature were to rise to $T_{3}=110^{\circ} \mathrm{F}$ ? The cross-sectional area of each rail is 5.10 in $^{2}$.

Added by Wayne C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Arjun Singh

02/08/2022

Step 1

To determine the change in length of the rails, we can use the formula: $\Delta L = \alpha \cdot L \cdot \Delta T$ where $\Delta L$ is the change in length, $\alpha$ is the coefficient of linear expansion, $L$ is the original length of the rails, and $\Delta T$ Show more…

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The 40 -ft-long $A-36$ steel rails on a train track are laid with a small gap between them to allow for thermal expansion. Determine the required gap $\delta$ so that the rails just touch one another when the temperature is increased from $T_{1}=-20^{\circ} \mathrm{F}$ to $T_{2}=90^{\circ} \mathrm{F}$, Using this gap, what would be the axial force in the rails if the temperature were to rise to $T_{3}=110^{\circ} \mathrm{F}$ ? The cross-sectional area of each rail is 5.10 in $^{2}$.