兩點加載翼緣縱向變厚度工型截面簡支梁變形的解析解法
發(fā)布時間:2019-01-02 13:30
【摘要】:為充分發(fā)揮鋼板強度和利用縱向變厚度鋼板的厚度變化特性,根據(jù)簡支梁兩點加載情況下的內(nèi)力分布,使用翼緣縱向變厚度工型截面梁。由于梁截面沿梁縱向變化,其剛度與等厚度工型截面梁有較大差異,需要對其進行深入研究。本文采用單位荷載法,運用積分方法推導得到考慮剪切變形影響的變形計算公式;并且結(jié)合具體算例,建立有限元計算模型進行對比分析,得出理論解與有限元解相對誤差不超過3%,驗證了理論解的正確性。分析結(jié)果表明:兩點加載時采用翼緣厚度變化率為8mm/m的工型截面梁,在承載力相同且滿足變形條件時,可節(jié)約11%的鋼材,大大減少用鋼量,并且降低剪切變形影響。此種形式的梁為結(jié)構(gòu)優(yōu)化設(shè)計提供了一種可行性方案。
[Abstract]:In order to give full play to the strength of steel plate and the thickness variation characteristics of longitudinal variable-thickness steel plate, according to the internal force distribution of simply supported beam under two-point loading, the longitudinal variable thickness I-section beam with flange is used. Due to the longitudinal variation of the beam section, the stiffness of the beam is different from that of the I-section beam of equal thickness, so it is necessary to study the stiffness of the beam. In this paper, the unit load method and integral method are used to deduce the formula of deformation considering the influence of shear deformation. Combined with a concrete example, a finite element calculation model is established for comparative analysis, and the relative error between the theoretical solution and the finite element solution is less than 3, which verifies the correctness of the theoretical solution. The analysis results show that the I-section beam with 8mm/m flange thickness change rate at two point loading can save 11% steel at the same bearing capacity and meet the deformation condition, reduce the amount of steel used, and reduce the influence of shear deformation. This type of beam provides a feasible scheme for structural optimization design.
【作者單位】: 清華大學土木工程系土木工程安全與耐久教育部重點實驗室;哈爾濱工業(yè)大學土木工程學院;鞍鋼股份產(chǎn)品發(fā)展部;鞍鋼技術(shù)中心;
【基金】:國家自然科學基金重點項目(51038006)
【分類號】:TU391
本文編號:2398553
[Abstract]:In order to give full play to the strength of steel plate and the thickness variation characteristics of longitudinal variable-thickness steel plate, according to the internal force distribution of simply supported beam under two-point loading, the longitudinal variable thickness I-section beam with flange is used. Due to the longitudinal variation of the beam section, the stiffness of the beam is different from that of the I-section beam of equal thickness, so it is necessary to study the stiffness of the beam. In this paper, the unit load method and integral method are used to deduce the formula of deformation considering the influence of shear deformation. Combined with a concrete example, a finite element calculation model is established for comparative analysis, and the relative error between the theoretical solution and the finite element solution is less than 3, which verifies the correctness of the theoretical solution. The analysis results show that the I-section beam with 8mm/m flange thickness change rate at two point loading can save 11% steel at the same bearing capacity and meet the deformation condition, reduce the amount of steel used, and reduce the influence of shear deformation. This type of beam provides a feasible scheme for structural optimization design.
【作者單位】: 清華大學土木工程系土木工程安全與耐久教育部重點實驗室;哈爾濱工業(yè)大學土木工程學院;鞍鋼股份產(chǎn)品發(fā)展部;鞍鋼技術(shù)中心;
【基金】:國家自然科學基金重點項目(51038006)
【分類號】:TU391
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