All Problems

Elastic deformations

Problem 1.303

The thickness of a rectangular steel girder equals h.h . Using the equation of Problem 1.301 , find the deflection λ\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 ll (Fig. 1.78a1.78 a ); (b) the girder of length 2l2 l rests freely on two supports (Fig. 1.78b1.78 b ).

Reveal Answer
1.303. (a) λ=3/2ρgl4/Eh2\lambda={ }^{3 / 2} \rho g l^{4} / E h^{2} (b) λ=5/2ρgl4/Eh2.\lambda={ }^{5} /_{2} \rho g l^{4} / E h^{2} . Here ρ\rho is the density of steel.