FYKOS Year 33 Series 5 Problem 1 — train on a bridge · FYKOS 33 #33.5.1

Physics · mechanics

Problem

There is a freight train standing on a

300\,\mathrm{m}

long bridge. The mass of the train is evenly distributed onto area of all nine steel pillars of the bridge. Every pillar has a base in a shape of a square with a side

a = 2.0\,\mathrm{m}

and a height

h=10\,\mathrm{m}

. How much do the steel pillars shrink under the weight of the train? Young modulus of steel is

E = 200\,\mathrm{GPa}

. Overall mass of the train is

m = 574\,\mathrm{t}

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