All Problems

Elastic deformations

Problem 1.302

A steel girder of length ll rests freely on two supports (Fig. 1.77). The moment of inertia of its cross-section is equal to I (see the foregoing problem). Neglecting the mass of the girder and assuming the sagging to be slight, find the deflection λ\lambda due to the force FF applied to the middle of the girder.

Reveal Answer
λ=Fl3/48EI\lambda=F l^{3} / 48 E I