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为了准确分析钢-混凝土组合梁的抗弯性能,基于接触理论和弹性力学基本思想推导了钢-混凝土组合梁在竖向荷载作用下考虑剪切滑移效应的微分方程,给出了解析解。计算了竖向集中力作用下组合梁的各部分应变和位移状态,分析了钢梁和混凝土顶板交界面处的剪切滑移应变差,并与试验结果进行了对比。结果表明:计算值与试验值有较好的一致性,挠度相对误差不超过2%;该计算公式是合理的、可信的,为工程设计提供了一种简便的计算方法,具有较强的实用价值。
In order to accurately analyze the flexural behavior of steel-concrete composite beams, the differential equations considering shear-slip effects of steel-concrete composite beams under vertical loads are derived based on the contact theory and the basic idea of elastic mechanics, and an analytical solution is given. The strain and displacement of each part of the composite beam were calculated under the action of vertical concentrated force. The shear-slip strain difference at the interface between the steel beam and the concrete roof was analyzed and compared with the experimental results. The results show that the calculated value is in good agreement with the experimental value, and the relative error of deflection is not more than 2%. The formula is reasonable and credible, and provides a simple calculation method for engineering design with strong Practical value.