Journal of Theoretical
and Applied Mechanics

15, 4, pp. 463-473, Warsaw 1977

Optymalne kształtowanie belek hiperstatycznych na drodze analitycznej i badań elastooptycznych

Tadeusz Liszka, Wojciech Świsterski, Michał Życzkowski
In the paper an attempt is made of determining the optimal shape of a cantilever beam of constant width subjected to uniformly distributed load and simply supported at the other end. Additional stresses sigma_z and tau_tx appearing as a consequence of variable height of the beam are considered. All necessary equations are presented and the procedure of solving them is shown. In accordance with numerical results, the photoelastic model of the beam has been made and investigated in a circular polariscope. Experiments showed a satisfactory agreement with theoretical results.