用图乘法和重积分法求纯弯曲梁挠曲线问题的讨论

Discussion of Serval Issues for Pure Beam Deflection Curve by Metheds of Graph Multiplication and Double Integral

  • 摘要: 等截面直梁受纯弯曲作用,其挠曲线精确解为圆弧线,然而用图乘法和重积分法求得的却都是抛物线. 分析了用图乘法和重积分法求解纯弯曲梁的挠曲线均是抛物线而不是圆弧线的原因,给出了用抛物线代替圆弧线的误差.

     

    Abstract: The accuracy key to the deflection curve of a uniform section straight beam subjected to the moment is a circle,however,the answers are both parabolas by metheds of graph multiplication and double integral .The reasons are analysed,and the error is given with a parabola replacing a circle.

     

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