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工字形截面单跨超静定深梁因截面形式复杂目前其应力计算仍无解析方法。该文对均布荷载作用下工字形截面单跨超静定深梁应力计算进行研究,通过引入合理的参数并对工字形截面作恰当的拆分和组合及合理假设,建立了力学模型,应用半逆解法求解,并考虑了弯剪耦合效应,给出了各应力分量的计算公式。分析了弯应力沿梁高及跨长的分布规律及剪力对弯应力的影响,结果表明剪力对弯应力的影响较大,这种影响随跨高比的减小或翼缘与腹板面积比的增大而增大。结果可为工字形截面单跨超静定深梁的设计提供概念明确的理论计算方法。
I-shaped cross-section ultra-statically indeterminate deep beams due to the complexity of the cross-section of the current stress analysis is still no analytical method. In this paper, the stress calculation of single-span ultra-static deep beam with I-shaped cross-section under uniform load is studied. By introducing reasonable parameters and properly dividing and combining the I-shaped sections and reasonable assumptions, a mechanical model is established. Semi-inverse solution to solve, and consider the shear-shear coupling effect, given the formula for calculating the stress components. The distribution of bending stress along the beam height and length and the influence of shear force on the bending stress are analyzed. The results show that the shear stress has a great influence on the bending stress, Area ratio increases and increases. The results provide a clear conceptual calculation method for the design of I-shaped ultra-deep static beams.