Offshore, bridges, steel structures, and heavy-duty equipment all use hollow cantilever beams. The great challenge for design engineers is to provide a better robust design of a cantilever beam that can withstand applied load with optimized design parameters. According to the literature review, strengthening a beam or plate can be accomplished by providing transversal and/or longitudinal stiffeners that can withstand post-buckling and lateral buckling moments. Thus, it is not sufficient for designers to provide only a better design of a part or component with the minimum weight and cost while ensuring optimum reliability and keeping the design secure in all loading conditions. The behavior of beam strength is influenced by various factors such as the number of stiffeners, their location, and their dimensional properties. In the present research, the slope and deflection equations of a uniform cross-sectional hollow rectangular cantilever beam with stiffeners subjected to concentrated and uniformly distributed load (UDL) and their combination are derived using Mohr’s Moment area method. Finite Element Analysis (FEA) was used to validate the results under known load and boundary conditions. The results demonstrate that the mathematical formulation can assist the design engineer in predicting the deflection of a cantilever beam under known loading and boundary conditions.

海上、桥梁、钢结构、重型设备均采用空心悬臂梁。设计工程师面临的巨大挑战是提供更坚固的悬臂梁设计，该悬臂梁可以以优化的设计参数承受外加载荷。根据文献综述，可以通过提供能够承受后屈曲和横向屈曲力矩的横向和/或纵向加强筋来加强梁或板。因此，设计人员仅以最小的重量和成本提供更好的零件或组件设计，同时确保最佳可靠性并在所有负载条件下保持设计安全是不够的。梁强度的行为受各种因素影响，例如加强筋的数量、它们的位置和它们的尺寸特性。在目前的研究中，使用莫尔矩面积法推导出具有加劲肋的均匀截面空心矩形悬臂梁在集中均匀分布载荷 (UDL) 及其组合下的斜率和挠度方程。有限元分析 (FEA) 用于验证已知载荷和边界条件下的结果。结果表明，数学公式可以帮助设计工程师预测在已知载荷和边界条件下悬臂梁的挠度。有限元分析 (FEA) 用于验证已知载荷和边界条件下的结果。结果表明，数学公式可以帮助设计工程师预测在已知载荷和边界条件下悬臂梁的挠度。有限元分析 (FEA) 用于验证已知载荷和边界条件下的结果。结果表明，数学公式可以帮助设计工程师预测在已知载荷和边界条件下悬臂梁的挠度。