角变位移方程的研究

本文旨在:(1)提出完全的角变位移方程,使可精确的解算任何形式的平面刚构,只要其能视为由若干桿件组成即可。这里的所谓“完全”,系指方程中已包括一切可能的形变值在内,而且包括轴向应力及剪应力之影响。(2)全面的讨论桿件常数的定义、数量和相互关系,并供给计算各常数的最一般性公式。(3)将上述全面的和精确的公式逐步简化,以便与目前常用的公式比较。(4)讨论某些特殊情况。

ON THE GENERALIZED SLOPE-DEFLECTION EQUATIONS

This paper investigates the general and complete form of slope-deflection equations used in structural analysis. The word "complete" indicates that all the possible deformations (deflections and rotations) and all the strain energies (due to shear, direct stress and flexure) are included in the equations. The definitions, numbers, and relations of member constants are then discussed and the general equations for computing these constants are given. By neglecting the factors of minor importance, the general form is reduced to the usual slope-deflection equations. Some special forms of such equations which are useful in certain practical problems are also discussed briefly, such as the slope-deflection equations including the effect of direct stress on flexure and the slope-deflection equations of semi-rigid frames. Slope deflection equations for trussed bents are also presented.