The beam string structure (BSS) has been widely applied to public buildings (e.g. sports venues and exhibition centers) for its strong adaptability to architectural form and reasonable load bearing mechanism. However, most mathematical calculation methods for BSS are too complicated to be generally mastered by structural engineers, which limits the promotion and actual application. In this paper, two analytical calculation methods for the BSS are proposed based on displacement control objectives and work-energy principle. The computational formulas are then derived to calculate the member internal force and structural deformation. On this basis, the tension and static load tests and the finite element analytical method have been carried out to assess the calculation methods. The results of the tests and simulation are in good agreement with the analytical solution obtained by the computational formulas. Moreover, the formulas can be more appropriate with a greater beam span, proper rise–span and sag–span ratios (between 1/15 and 1/12) as well as more brace struts.

中文翻译：

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基于静平衡原理的梁弦结构数学改进计算方法

梁柱结构（BSS）因其对建筑形式的强适应性和合理的承载机制而被广泛应用于公共建筑（例如运动场馆和展览中心）。但是，大多数BSS的数学计算方法过于复杂，结构工程师通常无法掌握，这限制了其推广和实际应用。本文基于位移控制目标和工作能原理，提出了两种BSS解析计算方法。然后推导计算公式以计算构件的内力和结构变形。在此基础上，进行了拉力和静载荷试验以及有限元分析方法来评估计算方法。测试和仿真结果与计算公式获得的解析解非常吻合。此外，这些公式可能更适合于更大的射束跨度，合适的上升-跨度和下垂-跨度比（1/15与1/12之间）以及更多的支撑杆。