Thermal bending of Rectangular Thin Plate with two opposite edges clamped, one edge simply supported and one edge free

摘要

The Rectangular Thin Plate (RTP) of two opposite edges clamped, one edge simply supported and one edge free under temperature disparity is regarded as a superposition of the RTP of three simply supported edges and one edge free under temperature disparity and the RTP under the bending moment with two opposite edges. This condition is based on small deflection theory and superposition principle, with consideration of temperature variation that is perpendicular to the surface. This study obtains the deflection and bending analytical solution for the RTP of two opposite edges clamped, one edge simply supported and one edge free under temperature disparity. Numerical results show that the bending moment and deflection can converge to the exact solutions, and the calculation coefficient table based on the concrete material can provide a theoretical base for subsequent engineering design and calculation of concrete RTP.