Interactive Simulator · Mind the Gap

Thermal Expansion

Heat a solid and it expands. For a bar, the increase in length is its expansion constant times its original length times the temperature rise. Engineers leave gaps in rails and bridges so the metal has room to grow on a hot day. Leave too little and it buckles, too much and the joint clatters. Set a gap that just takes up the expansion at the target temperature.

Mission The day will warm the rail by 40 °C. Leave a gap that just fits. Round 1Streak 0Best 0
For a hotter day, the gap you need is:
expansion α L ΔT4.8 mm
gap left5.0 mm
increase in length = expansion constant × length × temperature rise.