Railway Engineering
The purpose of providing fillet in a rail section is to

Increase the lateral strength
Avoid the stress concentration
Reduce the wear
Increase the vertical stiffness

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Railway Engineering
A triangle is used for

Transferring wagons to and from parallel tracks without shunting
Changing the direction of engine
Preventing the vehicles from running off the track
Separating all the sidings and shunting lines from main lines

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