ELASTIC-PLASTIC TRANSVERSE BENDING OF A ROD DURING LIMITED PLASTIC DEFORMATION

Statement of the problem. The problem of calculating bending of a rod in the state of flat transverse elastoplastic bend during limited plastic deformation is discussed. The transverse section of a rod with two axes of symmetry has a form of a fifty-fifty beam with two shelves: external and internal. A complex form of cross section explains practically unsolved difficulties in terms of its analytical solution. It leads to the use of math software and programming and math support, particularly MathCAD. In the first case we take as external loading a point force applied in the middle of the flange; in the second case it is an evenly distributed loading acting along the whole rod. Results. As a result the bearing ability of the rod during limited plasticity is determined as well as the boundary of plastic and elastic deformations; residual stress in the rod following its complete unloading; deflected rod axe and residual deflection in the rod following its complete unloading. Conclusions. The calculation shows that the use of modern information technologies, particularly software and math support of PC allow one to deal with difficult and laborious problems, in terms of the design of the analytical solution of mechanics of a deformed solid body.