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该文在综合考虑槽形梁的整体弯曲、局部弯曲、剪力滞效应和主梁扭转作用的基础上,用势能驻值原理导出了简支槽形梁在均布荷载作用下的解析解。通过与有限元计算结果的对比,验证了理论解的正确性和适用性。通过算例分析发现:随着高宽比或宽跨比的增大,局部弯曲对道床板纵向正应力的贡献增大;算例采用的截面尺寸剪力滞效应非常明显,槽形梁的宽跨比对道床板的有效宽度系数影响显著;是否考虑主梁扭转对最终的计算结果影响不大。
On the basis of considering the global bending, local bending, shear lag effect and torsion of main girder, the analytic solution of simply supported slot girder with uniform load is deduced by the principle of potential energy conservation. The correctness and applicability of the theoretical solution are verified by comparison with the results of finite element analysis. The results of numerical examples show that the contribution of local bending to the longitudinal normal stress increases with the increase of aspect ratio or width-span ratio. The shear lag effect of the section size used in the example is very obvious. The effect of span ratio on the effective width coefficient of ballast is significant. Whether the torsion of main girder is considered has little effect on the final calculation results.