All Problems Elastic deformations
Problem 1.303
The thickness of a rectangular steel girder equals \(h .\) Using the equation of Problem 1.301 , find the deflection \(\lambda\) caused by the weight of the girder in two cases: (a) one end of the girder is embedded into a wall with the length of the protruding section being equal to \(l\) (Fig. \(1.78 a\) ); (b) the girder of length \(2 l\) rests freely on two supports (Fig. \(1.78 b\) ).
1.303. (a) \(\lambda={ }^{3 / 2} \rho g l^{4} / E h^{2}\) (b) \(\lambda={ }^{5} /_{2} \rho g l^{4} / E h^{2} .\) Here \(\rho\) is the density of steel.