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SYMPLECTIC SOLUTION OF A RECTANGULAR BEAM SUBJECTED TO DISTRIBUTED LOAD
矩形梁受分布荷载的辛解答

Keywords: symplectic system of elasticity,rectangular beam,power function,distributed load,symplectic solution
弹性力学辛体系
,矩形梁,幂函数,分布荷载,辛解答

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Abstract:

In the symplectic system of plane elasticity in rectangular coordinates,by separating variables and abandoning the homogeneous boundary condition,the symplectic solution of a rectangular beam subjected to distributed load in a power function form is obtained.A general method for these problems is given in the symplectic system of elasticity.The rectangular beam subjected to normal or tangent load is considered. The results show that the method is effective.Displacements and stresses can be obtained directly with dual variables.By using the symplectic solution,various boundary conditions can be treated.Statically determinate problems and statically indeterminate problems can be solved directly.

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