Structural Analysis
Structural Analysis
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DOI：
10.1201/9781315275185
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发表时间：
2018-10
期刊：
影响因子：
--
通讯作者：
G. Ranzi;R. Gilbert
中科院分区：
文献类型：
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作者：
G. Ranzi;R. Gilbert
简介 结构分析和设计 结构理想化 结构构件和单元 结构系统 载荷类型 结构支撑 结构静力学：平衡和支撑反应 简介 坐标系 力 力矩 合力和力矩 反应 自由体图 平面结构的平衡方程 外部静力确定性和稳定性 内部稳定结构 反应的确定 三维结构中的平衡和反应 问题 梁和梁的内部作用 框架 简介 横截面的内部作用 内部作用的符号约定 内部作用和静定性的确定 轴向力、剪力和弯矩图 问题 静定桁架 简介 桁架分析的假设 符号约定和符号 节点方法介绍 矩阵形式的节点方法 截面方法 桁架的静不定性和稳定性 桁架的变形 带负载的桁架 空间桁架 问题 欧拉-伯努利梁模型 简介 小长度梁的平衡 运动学（或应变-位移）方程 本构方程 二重积分法 控制微分方程（作为位移的函数） 弯矩、剪力和构件荷载之间的关系 问题 坡度-挠度法 简介 阶跃函数二重积分法 力矩-面积法 共轭梁法 坡度-挠度方程 问题 功能方法 应变能 功定理 虚功 应用于桁架的虚功 卡斯蒂利亚诺定理 问题 力法 简介 应用于桁架的力法 应用于梁和框架的力法 问题 力矩分布 简介 基本概念 连续梁 无侧移的框架 有侧移的框架 问题 使用刚度法进行桁架分析 刚度法概述 符号约定、符号、坐标系 局部坐标系中刚度矩阵的推导 局部坐标系和全局坐标系之间的转换 全局坐标系中的桁架单元 装配 求解过程 内部作用的计算 节点坐标 空间桁架问题 使用刚度法进行梁分析 梁单元 刚度矩阵的推导 全局坐标中的梁单元 刚度单元的组装 杆件载荷 求解过程和后处理 问题 使用刚度法进行框架分析 框架单元 单元刚度矩阵的推导 局部坐标系和全局坐标系之间的转换 全局坐标中的框架单元 杆件载荷 装配、求解和后处理 问题 有限元法简介 简介 欧拉-伯努利梁模型 Timoshenko 梁模型 问题 柱的结构稳定性简介 简介 假设 平衡临界载荷 势能临界载荷 弹性柱的屈曲 有效屈曲长度 屈曲应力 缺陷 专栏 问题 非线性分析简介 简介 非线性材料属性 说明性示例 使用 Newton-Raphson 方法进行非线性分析 使用 Newton-Raphson 方法进行有限元分析 问题 附录 索引
Introduction Structural analysis and design Structural idealisation Structural members and elements Structural systems Types of loads Supports for structures Statics of structures: Equilibrium and support reactions Introduction Coordinate systems Force Moment of a force Resultant force and moment Reactions Free-body diagram Equilibrium equations for planar structures External statical determinacy and stability Internally stable structures Determination of reactions Equilibrium and reactions in three-dimensional structures Problems Internal actions of beams and frames Introduction Internal actions at a cross-section Sign convention of internal actions Determination of internal actions and statical determinacy Axial force, shear force and bending moment diagrams Problems Statically determinate trusses Introduction Assumptions for truss analysis Sign convention and notation An introduction to the method of joints Method of joints in matrix form Method of sections Statical indeterminacy and stability of trusses Deformation of trusses Trusses with loaded members Space trusses Problems Euler-Bernoulli beam model Introduction Equilibrium of a small length of beam Kinematic (or strain-displacement) equations Constitutive equations Method of double integration Governing differential equations (as a function of displacements) Relationship between bending moment, shear force and member loading Problems Slope-deflection methods Introduction Method of double integration with step functions Moment-area method Conjugate beam method The slope-deflection equations Problems Work-energy methods Strain energy The work theorem Virtual work Virtual work applied to trusses Virtual work applied to beams and frames Castigliano's theorem Problems The force method Introduction The force method applied to trusses The force method applied to beams and frames Problems Moment distribution Introduction Basic concepts Continuous beams Frames without sidesway Frames with sidesway Problems Truss analysis using the stiffness method Overview of the stiffness method Sign convention, notation, coordinate systems and degrees of freedom Derivation of the stiffness matrix in local coordinates Transformation between local and global coordinate systems Truss element in global coordinates Assembling Solution procedure Calculation of internal actions Nodal coordinates Space truss Problems Beam analysis using the stiffness method The beam element Derivation of the stiffness matrix Beam element in global coordinates Assembling of the stiffness elements Member loads Solution procedure and post-processing Problems Frame analysis using the stiffness method The frame element Derivation of the element stiffness matrix Transformation between local and global coordinate systems Frame element in global coordinates Member loads Assembling, solution and post-processing Problems Introduction to the finite element method Introduction Euler-Bernoulli beam model Timoshenko beam model Problems Introduction to the structural stability of columns Introduction Assumptions Critical load from equilibrium Critical load from potential energy Buckling of an elastic column Effective buckling length Buckling stresses Imperfections in columns Problems Introduction to nonlinear analysis Introduction Nonlinear material properties Illustrative examples Nonlinear analysis using the Newton-Raphson method Finite element analysis using the Newton-Raphson method Problems Appendices Index