ON THE MAXIMUM THERMOELASTIC STRESS AND DEFLECTION IN A BEAM OR PLATE.

摘要

It is shown in this paper that the thermal stress in a beam or plate cannot exceed the value k alpha E delta T,where delta T is the maximum instantaneous temperature excursion in a cross-section,and k is a coefficient dependent on the shape of the cross-section. A simple general formula for k is found,and results for several special cases of practical interest are given. For rectangular beams (suitably oriented) and for plates,for example, k = 4/3. For any section, k = 1if the thermal moment is zero;simplifications also occur if the thermal force is zero. The corresponding results for beam deflections are also carried out.