All Problems

Elastic deformations

Problem 1.300

One end of a steel rectangular girder is embedded into a wall (Fig. 1.74). Due to gravity it sags slightly. Find the radius of curvature of the neutral layer (see the dotted line in the figure) in the vicinity of the point } O \text { if the length of the protruding section of the girder is equal to \(l=6.0 \mathrm{~m}\) and the thickness of the girder equals \(h=10 \mathrm{~cm}\)

Reveal Answer
1.300. \(R=1 / 6 E h^{2} / \rho g l^{2}=0.12 \mathrm{~km},\) where \(\rho\) is the density of steel.