Huber Christian, Deix Karl
Camillo Sitte Bautechnikum, HTL Wien 3, A-1030 Vienna, Austria.
Institute of Material Technology, Building Physics and Building Ecology, University of Technology Vienna, A-1040 Vienna, Austria.
Materials (Basel). 2021 Nov 26;14(23):7211. doi: 10.3390/ma14237211.
Various methods are available for the calculation of timber-concrete composite floors. The gamma method, which is important in construction practice, as well as the differential equation method, are based on the simplified assumption of a continuous bond between wood and concrete. This makes it possible to analytically calculate the internally statically indeterminate partial section sizes and deformation sizes, analogous to the force size method. In this paper, two typical load situations of concentrated loads (central and off-centre) were analytically and numerically evaluated and compared using the above-mentioned methods (gamma and differential equation), with a discrete method for the case of a timber beam reinforced with a concrete slab using screws as fasteners. The calculation results show significant deviations, which speak for the application of discrete methods in certain load situations and thus limit the usability of the gamma method under certain conditions. For the problem of deflection determination, which is not dealt with in the literature for the discrete method, a numerical method is described in the present work, which was first developed and presented by the first author.
计算木-混凝土组合楼板有多种方法。伽马法在建筑实践中很重要，还有微分方程法，它们都基于木材与混凝土之间连续粘结的简化假设。这使得类似于力的大小计算方法那样，能够通过解析计算内部超静定部分的截面尺寸和变形尺寸。本文使用上述方法（伽马法和微分方程法），对集中荷载（中心和偏心）的两种典型荷载情况进行了分析和数值评估，并与采用螺钉作为连接件的混凝土板加固木梁情况下的离散方法进行了比较。计算结果显示出显著偏差，这表明在某些荷载情况下应采用离散方法，从而在一定条件下限制了伽马法的适用性。对于离散方法在文献中未涉及的挠度确定问题，本文描述了一种数值方法，该方法最初由第一作者开发并提出。
