结构力学英文课件 Chapter1

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CH1 第一章 绪论(中英)

CH1 第一章 绪论(中英)

结构力学
计算模型的简化要点
材料性能的简化 混凝土 石头 钢材 钢筋混凝土

木材
连续(continuous)
均匀(homogeneous) 各向同性(isotropic) 完全弹性或弹塑性(elastic or plastic)
结构力学
计算模型的简化要点
荷载的简化
重力,车轮压力 , 土压力, 水压力,地震 荷载,人群荷载,雪荷载,风荷载.. . 重力或者惯性力 车轮压力 , 土压力, 水压力,地震荷载, 人群荷载,雪荷载,风荷载.. .
竖向荷载
(c)
roof structure
屋架
基础
柱子
水平荷载
结构力学
桁架的计算模型
1kN
2kN 2kN
2
1.5m 1.5m
(c)
1kN
3
(d)
1
4kN 4
3m
4kN
4
1
4m
3m
2
1kN
2kN
3 2kN
3m
2kN 1kN
6 3=18m
2m
2m
3m
3m
结构力学
杆系结构的分类
梁(Beams) 拱(Arches) 桁架(Trusses)
板、壳和实体
结构力学
结构力学的研究内容
结构的合理组合(组成规律、合理形式和计算简图)
Rational configurations of structures
如何搭建一个结 构?
结构内力和位移的计算方法
Internal forces and displacements for structures
结构与基础间连接的简化 支座 supports

《结构力学第1章》课件

《结构力学第1章》课件

2
和截面惯量。
根据平衡和应变等性质,展示不同载荷
情况下的应力分布情况。
3
梁的截面特性
根据底层原理分析梁的截面特性,例如
工程应用实例
4
拟合梁矩阵法。
结合实际工程问题,解决实际工程需要 的梁的应力计算和验证问题。
结构的稳定性分析
基本概念和定义
理解稳定性概念和重要方程 变量,例如屈曲稳定性和散 体稳定性。
结构的稳定性判定方法
根据不同的稳定性问题,选 择否定法或主动法进行分析。
常见的结构稳定性问题
例如墙体的稳定性分析和桥 梁悬臂钢管立柱稳定性分析。
结构的振动与动力响应分析
结构振动的特点和表现形式 结构振动的参数
探讨结构振动基本原理,理解桥 梁或建筑物等结构的振动现象。
理解影响结构振动的关键参数, 例如周期和自由振荡。
动力响应分析的基本方法
探讨动力响应的基本原理,包括 使用数值分析软件模拟或使用经 验公式并进行实际测试。
总结
1 知识点回顾
优化知识点总结,观察学 习效果。
2 学习收获和问题咨询
提倡对学习过程的反思, 并在掌握知识之后进行问 题咨询。
3 学习建议和提高措施
分享个人的学习经验,并 鼓励采取行动提高学习效 果。
《结构力学第1章》PPT 课件
探讨结构力学的基础概念,理解重要的受力、应力分析方法,实现结构的稳 定性分析和动力响应分析。加强工程应用的实例分析,以提高学习的质量。
概述
结构力学的定义
结构力学是研究物体内部受力和结构的力学学科。
结构力学的重要性
结构力学为建筑和桥梁等建筑物提供了设计和解决问题的基础。
三种典型的梁的结构形式以及在受力时的表现。

结构力学课件 第1章 绪论

结构力学课件  第1章 绪论

一、荷载与作用 ➢荷载:主动作用在结构上的外力,如自重荷载、风荷载等; ➢广义荷载:外力、温度改变、支座沉降、制造误差、材料的收缩及松 驰、地震作用等; ➢作用:广义荷载,引起结构受力或变形的外因(外力、温度变化、支 座沉降、制造误差、材料收缩以及松弛、徐变等)
二、荷载(作用)的确定
➢荷载(作用)的确定是结构设计中极为重要的工作;
➢《建筑结构荷载规范》GB50009-2012 ➢《建筑抗震设计规范》GB50011-2010(2016年版)
三、荷载的分类 ➢1、根据荷载作用时间的久暂划分
恒载 (永久荷载)
Permanent load 活载
(可变荷载) Variable load
永久作用在结构上的不变 荷载,如构件自重、设备
荷载等
暂时作用在结构上的可变荷载, 列车荷载、风载、地震作用等
三、荷载的分类
➢2、按作用 位置变化情况
固定荷载 移动荷载
作用在结构上的位置 是不变的,如恒载、 某些活载(风载、雪
载等)
能在结构上移动的荷载,如 列车荷载、吊车荷载
三、荷载的分类
静力荷载 动力荷载
➢3、根据荷载对结构产生的动力效应划 分 指大小、方向和位置不随时间 变化或变化很缓慢的荷载,
第一章 绪 论(Introduction )
中国矿业大学 鲁彩凤
§1-1 结构力学的研究对象和任务 §1-2 荷载的分类 §1-3 结构的计算简图 §1-4 杆件结构的分类
§1-1 结构力学的研究对象和任务
(Research object and task of Structural Mechanics )
本节主要内容: 一、工程结构及分类 二、结构力学的研究对象 三、结构力学的任务

结构力学英文课件Chapter 1 Introduction2

结构力学英文课件Chapter 1 Introduction2
hree dimensional structure selected for analysis is represented by a line diagram. On this diagram ,each member of the structure is represented by a line coinciding with its centroidal axis; each connection between the members is represented by a kind of joint; the length of each member is represented by the distance between joints to which the member be attached; the position of the loads acting upon members is also transmitted to their centroidal axes. (3) The simplification of connections The connections between members of a structure are commonly simplified into joints. Two types of joins are commonly used to join members of structures:
1.3.2 simplifying point of analytical model


(1) The simplification of structural system Generally ,the actual structures are space, or three-dimensional, structures, whose members are connected as a space frame to undergo the loadings likely acting on it in various sense. Fortunately ,many actual three-dimensional structures can be subdivided, by discarding some subsidiary space restraints ,into plane structures for simplifying analysis. The book will mainly discuss the calculation problems of plane structures. (2) The simplification of members The main attention the book focuses on is the framed structures. A framed structure is comprised of members, whose crosssectional dimensions is much smaller than the length l.

结构力学第1章-绪论 (2)

结构力学第1章-绪论 (2)
力作用点在铰中心Leabharlann 方向大小均未知。A HA VA
第1章 绪 论 (Introduction)
§1-4 支座(Supports)和结点(Joints)的类型 2.活动铰支座(Roller support):
力作用点在铰中心,方向向上,大小未知。
A
VA
第1章 绪 论 (Introduction)
§1-4 支座(Supports)和结点(Joints)的类型 3.固定端(Fixed support):
此外,温度变化、支座沉陷、安装、制造的误 差,都会引起结构物的内力。但对路桥,主要 影响是荷载。
第1章 绪 论 (Introduction)
§1-3 结构的计算简图: (Computing model) 计算简图 —— 将一个具体的工程结构物用 一个简化的受力图形来表示。 选择计算简图时,要它能反映工程结构物 的如下特征:
§1-5 结构的分类 一、按杆件系统的轴线是否在同一平面内分:
平面结构( plane structure) : 杆件系统的轴系在同一平面 内,且外力也作用在该平面内 空间结构( space structure) : 杆件系统的轴系不在同一平 面 内,外力也作用在任意平面
桁架结构传力分析
第1章 绪 论 (Introduction)
拱结构传力分析
第1章 绪 论 (Introduction)
三、结构力学的任务: 1.研究结构在荷载等因素作用下的内力(强度) 及位移(刚度)计算。 ☆ 强度——结构在外力作用下是否会破坏 的问题。 (如:桥在火车作用下的内力计 算问题)。 ☆ 刚度——结构在外力作用下变形是否满 足规定值。(如:桥在火车作用下的位移、 挠度、转角计算)。
恒载( Dead ) — —长期作用在结构上的不变载荷。 1.荷载按作用时 如:自重、土压力。 间的久暂分 活载( Live) — — 暂时作用在结构上的可变荷载。 如:车辆、人群、风雪。 2.荷载按作用位 固定荷载( Fixing ) — — 恒载及某些活载(风、雪)

结构力学课件

结构力学课件




2. 根据荷载的作用位置分 (2). 固定荷载: 荷载的作用点位置不变, 如楼面板自重. 梁. 柱自重等; (3). 移动荷载: 荷载的作用点位置变化, 如汽车轮对桥面 的压力. 吊车梁受到的吊车轮的压力等. 3. 根据荷载的分布情况分 (1). 集中荷载: 指荷载分布面积远小于结构的尺寸的荷 载, 有集中力和集中力偶两种; (2). 分布荷载: 有线性分布.△分布. 或梯形分布之分. 4. 根据荷载的作用性质分 (1). 静荷载: 指a≈0的荷载; (2).动荷载: 指a≠0的荷载; 如跳水板所受到的跳水运动 员的压力等.


2.2. 几何不变体系的组成规律 2.2.1. 必要条件(N≤0) 一. 条件 (一).N>0: 表示所研究对象缺少足够的联系(約束), 因此所研究对象为几何可变体系; (二). N=0: 表示所研究对象具有成为几何不变体系所 需要的最少约束数目; (三). N<0: 表示所研究对象具有多余约束(增加一个 约束, 对体系的自由度无影响),∴知: N≤0 是研究对象成为几何不变体系的必要条件. 二. 应用举例 Eg.2.5.试对下图示结构进行几何不变体系的必要条件 分析(见板书) Eg.2.6.试对下图示结构进行几何不变体系的必要条件 分析(见板书) Eg.2.7.试对下图示结构进行几何不变体系的必要条件分 析(见板书)




1.2: 学习结构力学的三必须 一. 必须听课且要记好笔记; 二. 必须做作业; 三. 必须联系工程实际; 第二章. 结构的几何构造分析(几何组成分析. 机动分析) 2.1. 概述 2.1.1. 名词与术语 一. 几何不变体系: 指在任意力系作用下, 不计弹性变形, 能保持固定的几何形状而不发生相对运动的体系; 二. 几何可变体系: 指在任意力系作用下, 不计弹性变形, 不能保持固定的几何形状而不发生相对运动的体系;

结构力学Chapter_1_Introduction

结构力学Chapter_1_Introduction

Chapter 1 IntroductionContents§ 1-1 Main objectives and primary tasks of structural mechanics (1)§ 1-2 Analytical model and line diagram (2)§ 1-3 Classification of structures and loads (9)1-3-1 Classification of structures (9)1-3-2 Classification of loads (10)§ 1-4 Basic assumptions (11)Problems (15)§ 1-1 Main objectives and primary tasks of structural mechanicsA structure refers to a system of load carrying/transferring components that frame engineering buildings of various types of occupancy. Typical examples of structures include, but not limited to, the frames formed by floor slabs, beams, columns, shear walls and foundations, etc., of residential constructions, dams and flood gates of hydraulic constructions, bridges, tunnels and culverts of highways and railways, and the load carrying frames of automobiles and aircrafts, etc.The mechanical properties and load carrying capacity of engineering structures are closely linked to their geometric characteristics, based on which general structures can be divided into three categories:(1) Skeletal structures, which are consisted of a certain number of interconnected skeletal members. The geometric characteristic of a skeletal member is that its cross-sectional dimension is much smaller than its length. Typical examples of skeletal members and structures include beams, rigidly connected frames, arches and trusses, etc.(2) Plate and shell structures, which are also referred to as thin-wall structures. The geometric characteristic of a thin-wall structure is that its thickness is much smaller than the other two dimensions of it. The floor slabs, hemispherical roof diaphragms (Figure 1-1) and the shells of plane fuselage and ship hull all fall into this category.(3) Solid structures, also known as three-dimensional continuum structures, of which the length, width, and height are in similar size. Gravity retaining walls (Figure 1-2) and gravity dams of hydraulic constructions are examples of solid structures.Figure 1-1 Figure 1-21- 1Structural mechanics is mainly focused on the study of reasonable configuration of structures and their performance in regard to the internal forces, deformation, dynamic responses and stability when under external loads and/or other external effects, such as support movements and temperature changes. The objective of the study is to make the structures to meet the requirements for safety, serviceability and economic issues. More specifically, the primary tasks of structural mechanics include the following aspects:(1) Establish a rational form for a structure considering the functional requirements and occupancy of the structure.(2) Investigate the theories and methods of calculation of the internal forces, deformation, dynamic responses and stability of the structures.(3) Investigate the theories and methods of determination of the external actions based on the structural responses, and vice versa, and those of control of structural responses.Structural mechanics is an important professional basic course of the discipline of civil engineering. It is closely linked with several prerequisite courses, including theoretical mechanics and mechanics of materials, and the subsequent elastic and plastic mechanics. The theoretical mechanics and mechanics of materials are considered as fundamental mechanics while structural mechanics is mostly focused on skeletal structures and therefore is sometimes referred to as special structural mechanics; while the elastic and plastic mechanics mostly deals with continuum structures and plate and shell structures.Advances in modern engineering technologies and rapid development of computer technologies have had a profound impact on the discipline of structural mechanics. On one hand, analysis of massive engineering structures under actions of complex external factors requires emphasizing the integrated application of basic concepts of structural mechanics and theories of conceptual engineering design. On the other hand, the rapid increase in computing capacity requires the development of compatible theories and methods of structural mechanics. As a result, the traditional structural mechanics has been boosted towards directions, including the conceptual structural mechanics and computational structural mechanics.Many fundamental changes have taken place in the roles and functions of scientific and technical personnel in the field of civil engineering due to the fast development of science and technologies. The teaching of structural mechanics should therefore focus on the basic concepts of mechanics and their rational applications, in conjunction with the cognitive rules of the objective world and context of engineering practice, and eventually aims at improving the qualities and abilities of the students as an essential goal.§ 1-2 Analytical model and line diagramIn the real sense, the load state of a structure is often very complex. It will be difficult while unnecessary in many cases to analyze the structures in full accordance with the actual states of them, and thus certain simplifications and assumptions need to be made before analyzing the structural responses. Often, during the analysis some 1- 2secondary factors of actual structures are ignored under the premise that the structural responses can still be reflected correctly. Such a simplified representation of an actual structure for structural analysis purposes is called an analytical model. In analysis of mechanics, an analytical model is representative of the actual structure. Therefore, it is a key issue and should be solved first to choose and establish a rational analytical model.The principles of selection of an analytical model include as following:(1) Retain the main factors and omit the secondary factors so that the analytical model can reflect the essential features of the structural responses, such as internal forces.(2) To simplify the analytical model as much as possible without affecting its feasibility for structural analysis.In addition, different analytical models can be used for the same structure based on the requirements and specific circumstances. For example, in the preliminary design of a structure, a relatively coarse analytical model can be used; while in the construction design, a more precise analytical model should be used. Simplified analytical models can be used for hand computation while more precise analytical models can be constructed for computerized calculation. For dynamic analyses, the analytical models can be more simplified since the analysis is often complicated and time-consuming, while for static analysis, more precise analytical models can be used as the calculation is simple and fast.An analytical model comprises simplification of actual structures in many aspects and will be introduced separately as following.1. Structural configurationsSkeletal structures can be further divided into plane and spatial skeletal structures. Generally, all actual structures are spatial structures since they need to resist loads from all directions. However, in most cases, spatial constraints that are secondary to the structural performance can often be ignored or converted into one plane, by which an actual structure can then be broken down into several plane structures. In such way, the structural analysis can be greatly simplified.2. Structural members: line diagramsMembers of a skeletal structure can normally be represented by lines coinciding with their centroidal axes. The lengths of the members are expressed as the distances between the intersection points of them and adjacent members.3. ConnectionsA connection refers to the intersection amongst the members. Although the detailed configurations of the connections of timber, steel and concrete structures are quite different, their analytical models can normally be classified into two types:(1) Pin (hinge) connectionsThe characteristic of a pin connection is that all connected members can rotate freely around the connection, and therefore it is normally represented by an idealized smooth hinge. This idealized connection, however, is very difficult to achieve in practical engineering. For example, speaking of the intermediate connection of the bottom chord of a timber roof truss, as shown in Figure 1-3a, it is apparent that the1- 3Figure 1-4a shows the details of a connection between a side column and a beam of a reinforced concrete multistory frame structure. Since the concrete of the side column and beam are cast monolithically and the reinforcing bars extend into the column no less than the required anchorage length, it is ensured that the beam and the column are firmly linked together. In this case, the connection is considered as a rigid connection and its analytical model is shown in Figure 1-4b.4. SupportsA support refers to the connection between a structure and the foundation. The loads applied onto a structural are eventually passed via supports to the foundation and soil underneath. The counterforces passed from the supports to the structure are referred to as reaction forces. For plane structures, there are mainly five types of supports:(1) Roller supportExamples of roller supports include roller bearing (Figure 1-5a) and roll shaft bearing (Figure 1-5b) used in bridges.1- 4(4) Sliding supportFigure 1-8a shows schematically a sliding support (also known as a directional pin support). This type of support limits the rotation and movement along one direction while allows sliding in the other direction of the support. For example, the structure shown in Figure 1-8a cannot rotate or move vertically at the support while it can have a small amount of sliding along the horizontal direction. This type of support1- 5(5) Elastic supportAn elastic support is used when the deformation of the support cannot be ignored for structural analysis purposes. Shown in Figure 1-9a is a bridge deck structure, for which the deck loads are passed through the longitudinal beams to the horizontal beams and girders, and eventually to the piers of the bridge. In the load transfer path, the horizontal beams support the longitudinal beams and the resulting deformation of the horizontal beams may lead to vertical displacements of the longitudinal beams. In this case, each of the horizontal beams is equivalent to a spring support to the longitudinal beams. Since this type of supports has certain ability to resist transverse movements, they are referred to as an anti-sliding elastic support. For example, the intermediate supports of the longitudinal beam shown in Figure 1-9b all fall into this category. Another type of elastic supports has certain ability to resist torsional movements, known as anti-rotation elastic support.1- 65. LoadsThe floor loads of engineering buildings can generally be simplified as uniformly distributed vertical load; the lateral wind load can be simplified along the height of the buildings as uniformly distributed (in several segments), and so on.To illustrate the process of simplification of structural loads, a single story reinforced concrete industrial workshop, as shown in Figure 1-10, is used as an example. Normally, a reinforced concrete industrial workshop is spatial and consists of roof trusses, roof sheathing panels, columns, crane beams and bracing system, etc. Vertical roof loads are passed first from the sheathing panels to the roof trusses, and then to the columns at both ends of the trusses, and eventually to the foundation. When the workshop is subjected to lateral wind loads, the loads on the roof sheathing panels will be transferred to the upper ends of the columns via roof trusses; while the wind loads on the sidewalls are generally simplified as uniform distributed loads and are transferred to the columns via the walls and eventually to the foundation. When these two types of loads act separately, all plane frames (comprising trusses and columns) except those at the sides of the workshop will generate almost the same internal forces and deformation; therefore, the structural analysis of the building can be based on the analysis of one of these plane frames. Thus, a spatial problem can be simplified to a plane problem. It is well known that the longitudinal connections (mostly achieved by bracings) of the workshop is relatively weak and cannot provide sufficient integrity. Therefore, when the workshop is subjected to vertical or horizontal crane loads, it is conservative to assume that all or a certain percentage of the crane loads are resisted by the frame right underneath the crane(s). Thus, the workshop can still be analyzed as a plane system.1- 71- 8 Figure 1-10 1Fixed steel skylightRibbed sideboard Sheathing panel ColumnWindowBeamDitch Exterior wall LintelSteel bracketCullis board CranebeamGround Concrete padCup-shaped foundation Crane ladderWind column§ 1-3 Classification of structures and loads1-3-1 Classification of structures2. ArchesNormally the centroidal axis of an arch is curved. Arches will have horizontal reaction force under vertical loads, which helps to reduce the bending moments on the cross-sections (Figure 1-13).1- 93. Rigid framesA rigid frame usually consists of straight members. Its configuration is characterized by rigid connections at intersections of members (Figure 1-14). Sometimes a rigid frame is also called a frame.Figure 1-13 Figure 1-144. TrussesTrusses consist of straight members, which are all pin-connected. When a truss is subjected to nodal forces only, there will be only axial forces in truss members (Figure 1-15).5. Composite structuresA composite structure comprises truss members and beams (Figure 1-16a), or truss members and rigid frame members (Figure 1-16b). The feature of its load state is that its truss members only take axial force and all the other flexural members can resist axial force, shear force and bending moments simultaneously.In addition to the five types of skeletal structures mentioned above, which are the most basic, there are more complex ones, such as suspension cable structures.Figure 1-16Skeletal structures can be plane or spatial. When the centroidal axes of the members and the applied loads are in the same plane, it is known as a plane skeletal structure, or simply a plane structure. Those do not meet these conditions are known as spatial skeletal structures, or simply spatial structures (see § 3-6).1-3-2 Classification of loadsLoads refer to the external forces acting on a structure. For example, the 1- 10self-weight of a structure, crane loads of industrial workshops, loads from cars driving on a bridge, soil or water pressure acting on hydraulic structures, and so on.The various types of loads can be briefly classified as follows based on their duration and nature:1. Classified based on duration of load(1) Dead loadsLoads that act permanently on a structure of constant magnitudes and fixed positions are known as dead loads. For example, the self-weight of a structure and the weight of the devices that are permanently attached to the structure. A dead load does not change in terms of its magnitude, position and direction during the service life of a structure.(2) Live loadsA load of a variant magnitude and only temporarily acts on a structure is known as a live load. Examples include loads caused by train and cranes, people, wind, snow and so on. In structural analysis, usually dead loads and some live loads (such as people, wind and snow loads) are considered as fixed in terms of their position, and are therefore called as fixed loads. Some live loads, such as loads brought by cranes, cars and trains, are referred to as moving loads since their positions on a structure are variable.2. Classified based on the nature of loads(1) Static loadsStatic loads have constant magnitudes, positions and orientations over time, and are normally assumed to be increased gradually from zero to a sustained value. Consequently, the mass of a structure under static loading will not produce apparent acceleration and inertia forces, and thus will not cause vibration of the structure. Self-weight of structures and other dead loads all belong to static loads.(2) Dynamic loadsDynamic loads change rapidly over time. The structures under dynamic loads will generate apparent acceleration and corresponding inertia forces, which will subsequently cause structural motion or vibration. For example, loads caused by eccentric masses of a running machine, dynamic actions on structures caused by ground motion during an earthquake, impact actions from waves on hydraulic structures, blast waves from an explosion, fluctuating loads caused by wind, and so on, all belong to dynamic loads.§ 1-4 Basic assumptionsIn addition to various simplifications made in construction of analytical models of structures, structural analysis can also be simplified by taking assumptions of the structural behavior based on the actual situations.Structural mechanics usually considers the following three basic assumptions:(1) Structures are continuous and remain so when subjected to external loading.(2) Hooke’s Law applies, which states that, for a structure in static equilibrium, the displacement u at any point (Figure 1-17) can be expressed asn n F a F a F a u P P P +++=L 2211 (1-1)where a1, a2… and a n are constants and independent of the loads F P1, F P2... and F Pn; however, the constants are normally different for displacements of different points on the structure and different positions and orientations of the external loadings.(3) A structure recovers its original unstressed state if all external loads are withdrawn.The structures that are analyzed based on these three assumptions are known as linear elastic structures. At year 1859 Kirchhoff proposed the uniqueness theorem of solution of elastic systems, according to which the elastic deformation of a linear elastic system has unique relationship with the external loads, i.e., the internal force and deformation of a linear elastic system are uniquely determined given the external loading actions. The theorem of uniqueness of solution of linear elastic system plays an important role in structural analysis. A structural analysis based on this theorem is known as a linear analysis.Figure 1-18The principle of superposition of linear elastic structures can be proved based on the assumptions (2) and (3), i.e., Equation (1-1) applies to a series of load vectors F P1, F P2... F Pn not only when they are at a constant ratio but also when they are in arbitrary ratios to each other. In other words, the applicability of Equation (1-1) is independent of the loading sequence, so are the constants a1, a2…and a n. The principle of superposition plays an important role in structural analysis of linear elastic structures.Besides, some other important theorems, such as the reciprocal theorem (see §5-7), can also be derived from the three basic assumptions.In real engineering practice, some structures do not meet the basic assumptions. Such structures are known as nonlinear structures. The analysis of such structures is called a non-linear structural analysis. The nonlinearity in structural behavior mainly comes from the nonlinearity in material behavior and geometric characteristics of the structures.The so-called material nonlinearity refers to the physical properties of structural materials in case they are nonlinear, including nonlinear elastic and plastic. For example, as shown in Figure 1-18, the material near the midspan (with the shadowed area) of a simply supported steel beam can exhibit nonlinearity when the loadbecomes large. In this case, the relationship between the internal forces, deformation and the external loading becomes nonlinear.The so-called geometric nonlinearity refers to the phenomenon that the deformation or displacement of a structure gets so large that the equilibrium conditions can only be applied based on the deformed configuration of the structure. Figure 1-19a shows an eccentrically compressed column. When the translational displacement, Δ, of the upper end of the column is small compared to the loadeccentricity e, the equilibrium conditions can be applied to the original configuration of the column without causing too big errors. Consequently, the bending moment at the bottom end of the column, M A, is considered to be equal to F P e. Otherwise, if Δ is large compared to the load eccentricity e and cannot be ignored, the equilibrium conditions must be established based on the deformed column configuration, i.e., M A=F P(e+Δ). Since the translational displacement Δ is a function of F P, both thedeformation and internal forces of the column will be nonlinear.Another example is shown in Figure 1-19b, where the structure reaches equilibrium under an external load applied at point A. The deformed configuration is represented by dashed lines. Since the displacement is quite large compared to the dimension of the structure, the equilibrium equations for the calculation of the internal forces of the two tension rods must be constructed based on the deformed configuration. Since the deformed configuration of the structure is dependent on the external loading, the deformation and internal forces are also nonlinear with the external loading.Figure 1-19c shows a curved bar subjected to a vertical load. The support conditions of the curved bar are dependent on its deformation. This nonlinearity in boundary conditions can also be regarded as geometric nonlinearity. In fact, the force equilibrium is always reached on the deformed configuration of a structure no matter how big the structural deformation or displacement is. It is only that ignoring the difference between the deformed and original configurations of a structure will not cause significant errors when the structural deformation or displacement is small enough.Figure 1-19For nonlinear structures the theorem of unique solution and the principle ofFor most actual structures, the stress-strain relationship of the materials will be close to (for example steel structures) or can be approximately considered (frame example reinforced concrete structures) as linear. Meanwhile, the structural deformation and displacement will be quite small compared to the dimension of the structure. In this case, the three basic assumptions hold and the theorem of unique solution and the principle of superposition apply. Chapters 1 to 10 of this book will mainly discuss the linear elastic structural analysis.Problems[1-1]What are the major differences in the geometric configurations of skeletal structures, plate and shell structures and continuum structures?[1-2]What are the basic tasks of structural analysis and the major problems that should be paid attention to during the study of structural mechanics?[1-3]What is the analytical model of a structure? How to choose an analytical model?[1-4]What is the major difference and possible relationship between moving loads and dynamic loads?[1-5]What is a linear elastic structure and what are the basic characteristics of the structural behavior of linear elastic structures? What is the basic meaning ofHooke's law?[1-6]What are the basic characteristics of structures with material nonlinearity and geometric nonlinearity?。

结构力学(双语)绪论

结构力学(双语)绪论

Some examples of structures
结构力学的主要研究对象是杆件结构 The main objective of structural mechanics is framed structures 杆件结构
Framed stuctures
平面杆件结构 Plane structures: all the members and the applied loads lie in a single plane Otherwise the structures are spacial structure 空间 杆件结构
做题练习是学习结构力学的重要环节。不做一定 量的习题就很难对基本概念和方法有深入的理解和 掌握,也很难培养较好的计算能力。 Do exercises to solve some concrete problems is a key link in the study of the subject. If we don’t do a definite quantity of exercises it is difficult to understand the basic concepts and master the basic methods, and difficult to develop good ability to calculate.

II 计算能力Computing ability
(1)具有对各种结构确定计算步骤,进行计算的能力
determine the calculation procedure and calculate the structures。 (2)具有对计算结果进行定量校核或定性判断的能力the ability to verify the results quantitatively and judge the results qualitatively.
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Introduction
③ Combination Joint
A
B
A:Rigid joint
C
D
B、D:Hinge joint C:Combination joint BF、CD Hinge joint,
E
F
G
BC、CF Rigid joint
3. Simplification of supports
长江三峡工程
Introduction
Introduction
上海南浦大桥
Introduction
Introduction
现代桥梁欣赏
Introduction
现代桥梁欣赏
Introduction
Introduction
中国民航飞机
Introduction
宇宙飞船
Introduction
Summary
Two words:
Simplification
Classification
Introduction
Fig.1 Main Teaching Building
Introduction
Fig.2
Introduction
Introduction
Introduction
Introduction
Introduction
Introduction
荷兰拦海大坝
Introduction
(1)、beam (2)、arch
(3)、truss (4)、rigid frame (5)、composite structure


桁架
刚架
组合结构
Introduction
1.4 Classifications of loads
(1) Duration of application : Dead load: dead load act on structure for ever. Its weight. Dead loads are those whose magnitudes remain constant and whose position doses not change. Live load: live load are those whose magnitude and position change. Live load contains movable load and moving load. Movable load are those which position can change: i.e. snow, person on structure. Furniture on a house. Moving load is meant by load can be moved by their own power. i.e. trolley of crane
结构 力 学
STRUCTURAL MECHANICS
武汉理工大学物流工程学院
普通高等教育“十一五”国家 级规划教材 Structural Mechanics 包世华主编
Textbook: 2006
References: 《结构力学教程》 龙驭求等主编,高等教育出 版社 2001 《结构力学》王重华主编, 人民交通出版 社 <<Structural Mechanics>> 支秉琛主编 清华大 学出版社
① in dimensions domain : Structures can be classified into plane stru. And space stru.
If members of the stru. are in a plane, its loads are also in the same plane .It is called plenary stru. If members are not in a plane or its loads are not lie in the same plane
(2)surface load:surface load can be simplified as concentrated load or line load。For example, wind, snow load, and equipment.
Introduction
1.2 Classification of structures
高速列车
Structural Mechanics Chapter 1 Introduction
Frame or member which carries the load is referred to as a structure in engineering. i.e.
① Crane’s jib;
Introduction
1.1 Computing Model
The following factors are taken into account: ① the width of the walls (b) is very small comparison with the length of the beam (l). ② The beam can’t move in horizontal direction because of friction between the beam and walls, but it can enlong or shrink (age) due to change of temperature. ③ the beam is represented by a line
② support frame of crane;
③ support frame of civil construction.
Introduction
To study the internal forces of the structure is the aim to this course. The structures in engineering are very complex (ity), so we must simplify the structures in several aspecction
Computing model
Introduction
truss workshop
CRANE
Introduction
How to simplify is a very important problem. We can do it from three aspects as following:
1. Simplification of Members


Introduction
2. Simplification of Joints
When the members are connected together, the mutual displacements of the members are restrained. The connection point is called joint .There are two types joint. ① Hinge Joint. (Small resistance in bending) A hinge joint restrains the translation of one member relative to the others , the members can have independent free rotations about the centre of the hinge ② Rigid Joint The members form a monolithic body, they can move and translate as a group, but can not move with respect to each other.
① Link support
Introduction

② Hinge Support

Introduction
③ Fixed support
A
HA
MA V A
④ Fixed direction support (定向支座)
Introduction
4、Simplification of load
(1)Body load:body load can be simplified as line-load. Dead load, for instance.
Introduction
(2) Manner of application: Static load: its magnitude, position and direction are not change. Dynamic load: give rise to vibration of structure.
Introduction ② In Restraints
Statically determinate stru.
Statically indeterminate stru.
Unstable stru.
Introduction
1.3 Plenary framed structures
Plenary framed structures can be divided into the following forms
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