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組合梁考慮滑移效應(yīng)的理論分析與等效剛度法

發(fā)布時(shí)間:2018-03-06 00:24

  本文選題:組合梁 切入點(diǎn):滑移效應(yīng) 出處:《湖南大學(xué)》2015年碩士論文 論文類型:學(xué)位論文


【摘要】:鋼-混凝土組合梁具有剛度大、承載能力高等優(yōu)點(diǎn),在建筑結(jié)構(gòu)、橋梁結(jié)構(gòu)等領(lǐng)域得到了廣泛應(yīng)用。然而,廣泛應(yīng)用于實(shí)際工程中的栓釘?shù)热嵝约袅B接件由于受到鋼與混凝土交界面上水平剪力的作用而產(chǎn)生變形,引起交界面產(chǎn)生滑移,從而使組合梁剛度降低,截面曲率增大,組合梁撓度也相應(yīng)增大。本文針對組合梁受層間滑移效應(yīng)的影響,進(jìn)行了靜力線彈性分析,提出了組合梁撓度計(jì)算的二階算法,分別建立了關(guān)于組合梁考慮滑移效應(yīng)的層間相對滑移和撓度的二階常微分方程,給出了相應(yīng)的邊界條件,求得了簡支梁,懸臂梁,兩端固定梁和一端簡支一端固定梁四種不同邊界條件組合梁在不同荷載作用下的層間相對滑移和撓度的理論精確解,并給出了組合梁受層間滑移效應(yīng)影響的內(nèi)力計(jì)算。通過與組合梁撓度計(jì)算高階算法的對比,二階算法簡化了組合梁考慮滑移效應(yīng)的撓度計(jì)算,給出了相對全面的計(jì)算結(jié)果。由于荷載形式和邊界條件的不同,組合梁撓度計(jì)算理論精確解的形式過于復(fù)雜,因此本文在組合梁撓度計(jì)算理論精確解的基礎(chǔ)上,引入組合梁考慮滑移效應(yīng)撓度計(jì)算的等效計(jì)算長度系數(shù),給出了統(tǒng)一的組合梁考慮滑移效應(yīng)撓度計(jì)算的等效抗彎剛度,提出了組合梁撓度計(jì)算的等效剛度法。通過對等效剛度法進(jìn)行誤差控制,求得了四種不同邊界條件組合梁在均布荷載作用下考慮滑移效應(yīng)的等效計(jì)算長度系數(shù),使得組合梁考慮滑移效應(yīng)的等效撓度最大值與組合梁考慮滑移效應(yīng)的理論精確解撓度最大值之間的誤差最小。均布荷載作用下求得的等效計(jì)算長度系數(shù)對組合梁在集中荷載作用下的撓度計(jì)算同樣有很高的精確度。通過對現(xiàn)有組合梁考慮滑移效應(yīng)撓度計(jì)算主要計(jì)算方法的對比可知,本文提出的等效剛度法相對其他撓度計(jì)算方法具有更高的精確度,能夠滿足實(shí)際工程的需求。
[Abstract]:Steel-concrete composite beams have been widely used in the field of building structures and bridge structures because of their advantages of high stiffness and high bearing capacity. Flexible shear connectors, such as studs, which are widely used in practical engineering, are deformed by horizontal shear force at the interface between steel and concrete, resulting in slip at the interface, thus reducing the stiffness of composite beams and increasing the sectional curvature. The deflection of composite beam also increases correspondingly. In this paper, the static linear elastic analysis of composite beam is carried out, and the second-order algorithm for calculating deflection of composite beam is put forward in view of the effect of interlayer slip on composite beam. The second order ordinary differential equations of relative slip and deflection of composite beam considering slip effect are established respectively. The corresponding boundary conditions are given, and the simple supported beam and cantilever beam are obtained. The theoretical exact solutions of the relative slip and deflection between layers of four kinds of composite beams with different boundary conditions under different loads are derived from the fixed beams at both ends and the fixed beams at one end simply supported by one end. The calculation of internal force of composite beam affected by interlayer slip effect is given. Compared with the higher-order calculation method of composite beam deflection calculation, the second-order algorithm simplifies the deflection calculation of composite beam considering slip effect. Due to the difference of load form and boundary condition, the form of exact solution for deflection calculation of composite beam is too complicated, so this paper is based on the theoretical exact solution of deflection calculation of composite beam. The equivalent calculated length coefficient of composite beam considering the deflection of slip effect is introduced, and the equivalent flexural stiffness of the unified composite beam considering the deflection of slip effect is given. The equivalent stiffness method for the deflection calculation of composite beams is proposed. By error control of the equivalent stiffness method, the equivalent calculated length coefficients of four different boundary condition composite beams considering the slip effect under uniform load are obtained. The error between the maximum equivalent deflection of composite beam considering slip effect and the maximum deflection of composite beam considering slip effect is minimized. The deflection calculation under concentrated load also has a high accuracy. The equivalent stiffness method proposed in this paper has higher accuracy than other deflection calculation methods and can meet the needs of practical engineering.
【學(xué)位授予單位】:湖南大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2015
【分類號】:TU398.9

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