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三角形横向荷载作用下的简支梁弯曲分析

Bending Analysis of Simply Supported Beam under Triangular Transverse Loads
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摘要 某些梁或立柱杆件同时受纵、横两个方向的载荷作用,因横向荷载引起的弯曲挠度使截面形心偏离原位置的距离较大,这时轴力引起的弯矩对构件的强度和稳定性计算来说就不容忽略.目前对横向荷载为均布荷载作用时最大挠度和弯矩的数值和位置已有讨论,对三角形横向荷载作用时横梁或立柱的最大挠度和最大弯矩位置和数值的确定还需深入研究.首先以简支梁为例,推导出横向荷载为三角形横向荷载时梁的最大挠度和弯矩数值和位置的计算公式,然后以水闸结构中的胸墙为例,阐述导出公式的具体运用方法,在水利工程实践中具有重要的意义. Some of beams and column bars are often under vertical and horizontal loads. Because the bending deflection caused by lateral loads makes sectional centroid deviate from the original position larger,the moment caused by the axial force can not be ignored for the calculation of the strength and stability of the components. Currently,the value and location of the maximum deflection and bending moment when the lateral load is uniformly distributed loads have been discussed,but the value and location of the maximum deflection and bending moment of the beam and column bar under triangular lateral load must be in-depth study. Taking simply supported beam as an example,some related formulas are derived; then they are applied to sluice parapet. This has an important significance in hydraulic engineering practice.
机构地区 大连海洋大学
出处 《华北水利水电大学学报(自然科学版)》 2014年第3期39-42,共4页 Journal of North China University of Water Resources and Electric Power:Natural Science Edition
关键词 横向荷载 纵横弯曲 胸墙 跨中挠度 最大弯矩 lateral load vertical and horizontal bending Parapet mid-span deflection maximum bending moment
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