Question

Steel crane rails are laid with their adjacent ends 3.20 mm apart when the temperature is 15 ° C. The length of each rail is 18 m, as shown in Figure 11.5. Refer to Appendix G for mechanical properties. (a) Calculate the temperature at which the rails will touch end to end. (b) Calculate the gap between adjacent ends when the temperature drops to -10°C . (c) Calculate the compressive stress in the rails when the temperature reaches 45 ° C. 18 m (typ.) 3.20 mm @ 15C (typ.) Crane rail

          Steel crane rails are laid with their adjacent ends 3.20 mm apart when the temperature is 15 ° C. The length of each rail is 18 m, as shown in Figure 11.5. Refer to Appendix G for mechanical properties. (a) Calculate the temperature at which the rails will touch end to end. (b) Calculate the gap between adjacent ends when the temperature drops to -10°C . (c) Calculate the compressive stress in the rails when the temperature reaches 45 ° C.
18 m (typ.)
3.20 mm @ 15C (typ.)
Crane rail

Steel crane rails are laid with their adjacent ends 3.20 mm apart when the temperature is 15 ° C. The length of each rail is 18 m, as shown in Figure 11.5. Refer to Appendix G for mechanical properties. (a) Calculate the temperature at which the rails will touch end to end. (b) Calculate the gap between adjacent ends when the temperature drops to -10°C . (c) Calculate the compressive stress in the rails when the temperature reaches 45 ° C.
18 m (typ.)
3.20 mm @ 15C (typ.)
Crane rail

Added by Timothy M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

03/31/2022

Step 1

Given: Coefficient of linear expansion (α) = 13 x 10^-6 /°C, initial temperature (T1) = 15°C, gap between adjacent ends (ΔL) = 3.2 mm = 1.6 x 10^-3 m, length of each rail (L) = 18 m. Using the formula for thermal expansion: ΔL = L * α * ΔT Substitute the values: Show more…

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Steel crane rails are laid with their adjacent ends 3.20 mm apart when the temperature is 15 °C. The length of each rail is 18 m, as shown in Figure 11.5. Refer to Appendix G for mechanical properties. (a) Calculate the temperature at which the rails will touch end to end. (b) Calculate the gap between adjacent ends when the temperature drops to -10°C . (c) Calculate the compressive stress in the rails when the temperature reaches 45 °C.