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1、INVESTIGATION OF STRUCTURAL BEHA VIORInvestigating how structures behave is an important part of structural design, it provides a basis for ensuring the adequacy and safety of a design, In this artical I discuss structural investigation in general.1. Purpose of InvestigationMost structures exist bec

2、ause they are needed. Any evaluation of a structure thus must begin with an analysis of how effectively the structure meets the usage requirements.Designers must consider the following three factors:Functionality. or the general physical relationships of the structures form. detail. durability. fire

3、 resistance. deformation resistance. and so ducts. andFeasibility. including cost. availability of materials and practicality of construction.Safety. or capacity 10 resist anticipated loads.2. MeansAn investigation of a fully defined structure involves the following:.5.Determine the str

4、uctures physical being-materials, orientation. location. support conditions, and internal detail.Determine the demands placed on the structure-that is. loads.Determine the structures deformation limits.Determine the structures load response-how it handles internal forces and stresses and significant

5、 deformations.Evaluate whether the structure can safely handle the required structural tasks.form, scale. character andInvestigation may take several forms. You canVisualize graphically the structures deformation under load.Manipulate mathematical models.Test the structure or a scaled model, measuri

6、ng its responses to loads.When precise quantitative evaluations are required. use mathematical models based on reliable theories or directly measure physical responses. Ordinarily. mathematical modeling precedes any actual construction-even of a test model. Limit direct measurementto experimental st

7、udies or to verifying untested theories or design methods.3. Visual AidsIn this book, I emphasize graphical visualization; sketches arc invaluable learning and problem-solving aids. Three types of graphics are most useful: the free-body diagram. the exaggerated profile of a load-deformed structure.

8、and the scaled pial.A free-body diagram combines a picture of an isolated physical clemen I with representations of all external forces. The isolated clement may be a whole structure or some part of it.reactions).the bent. interaction all ached.For example. Figure 4.1a shows an entire structure-a be

9、amand-eolumn rigid bent-and the external forces (represented by arrows). which include gravity. wind. and the reactive resistance of the supports (called the Note: Such a force system holds the structure in static equilibrium.Figure 4.lb is a free-body diagram of a single beam from Operating on the

10、beam are two forces: its own weight and the between the beam ends and the columns 10 which the beam is These interactions are not visible in the Ireebody diagram of the whole bent. so one purpose of the diagram for the beam is to illustrate these interactions. For example. note that the columns tran

11、smit to theendsofthe beams horizontal and vertical forces as well as rotational bending actions.Figure 4.lc shows an isolated portion ofthe beam length. illustrating the beams internal force actions. Operating on this free body arc its own weight and the actions of the beam segments on the opposite

12、sides of the slicing planes. since it is these actions that hold the removed portion in place in the whole beam.Figure 4.ld. a tiny segment. or particle. of the beam material is isolated, illustrating the interactions between this particle and those adjacent to it. This device helps designers visual

13、ize stress: in this case. due to its location in the beam. the particle is subjected to a combination of shear and linear compression stresses.An exaggerated profile of a load-deformed structure helps establish the qualitative nature of the relationships between force actions and shape changes. Inde

14、ed. you can infer the form deformation from the type of force or stress. and vice versa.1wFIGURE 4.1 Free-body diagrams.For exa mp le. Figure 4.1ashows he exaggerated deformati on of the bentin Figure 4.1 un der wind load ing. Note how you can determ ine the n ature of bending action in each member

15、of the frame from this figure. Figure 4.2b shows the n ature of deformati on of in dividual p articles un der various types of stress.FIGURE 4.2 Structural deformationThe scaled p lot is a graph of some mathematical relati on shi p or real data. For exa mp le, the graph in Figure 4.3 rep rese nts th

16、e form of a damped ibrati on of an elastic sprin g. It con sists of the plot of the dis pl aceme nts aga inst ela psed time t. and rep rese nts the graph of the exp ressi on.s = Psin (Qr + R0FIGURE 4.3 Grap hical plot of a damped cyclic motion.Although the equati on is tech ni cally sufficie nt to d

17、escribe the phenomenon, the graph illustrates many asp ects of the relati onship. such as the rate of decay of the dis pl aceme nt. the in terval of the vibrati on. the sp ecific po siti on at some sp ecific ela psed time. and so on.METHODS OF INVESTIGATION AND DESIGNTraditi onal structural desig n

18、cen tered on thework ing stress method. a methodservice loads-that strength me/hod, mean- against its absolute load limit-that is.strain. and failure limits, tests werereal structures) and laboratories (onnow referred to as stress design or allowable stress design (ASD). This method. which relies on

19、 the classic theories of elastic behavior, measures a designs safety against two limits: an acceptable maximum stress (called allowable working stress) and a tolerable extent of deformation (deflection. stretch. erc.). These limits refer to a structures res ponse to is. the loads caused by no rmal u

20、sage con diti ons. The while, measures a designs adequacy whe n the structure must fail.To convincingly establish stress. performed extensively in the field (on specimen prototypes. or models). Note: Real-world structural failures are studied both for research sake and to establish liability.In esse

21、 nee. the work ing stress method con sists of desig ning a structure to work at some established p erce ntage of its total cap acity. The stre ngth methodconsists of designing a structure tofail. but at a load condition well beyond what it should experience. Clearly the stress and strength methods a

22、rc different. but the difference is mostly procedural.The Stress Method (ASD)The stress method is as follows:1.2.3.Visualize and quantify the service (working) load conditions as intelligently as possible. You can make adjustments by determining statistically likely load combinations (i.e , dead loa

23、d plus live load plus wind load). considering load duration. and so on.Establish standard stress. stability, and deformation limits for the various structural responses-in tension. bending, shear, buckling. deflection, and so on.Evaluate the structures response.An advantage of working with the stres

24、s method is that you focus on the usage condition (real or anticipated). The principal disadvantage comes from your forced detachment from real failure conditions-most structures develop much different forms of stress and strain as they approach their failure limits.The Strength Method (LRFD)The str

25、ength method is as follows:1.2.3.Quantify the service loads. Then multiply them by an adjustment factor( essentially a safety factor) to produce thejaclOred load.Visualize the various structural responses and quantify the structures ultimate (maximum, failure) resistance in appropriate terms (resist

26、ance to compression, buckling. bending. etc.). Sometimes this resistance is subject to an adjustment factor, called theresistancefacror. When you employ load and resistance factors. the strength method is now sometimes called foad and resistancefaaor design (LRFD) (see Section 5.9).Compare the usabl

27、e resistance ofthe structu re to the u ltirnatc resistance required (an investigation procedure), or a structure with an appropriate resistance is proposed (a design procedure).major reason designers favor the strength method is that structural is relatively easy to test. What is an appropriate work

28、ing condition isA failure speculation. In any event, the strength method which was first developed for the design of reinforced concrete structures, is now largely preferred in all professional design work.Nevertheless, the classic theories of clastic behavior still serve as a basis for visualizing

29、how structures work. But ultimate responses usually vary from the classic responses, because of inelastic materials, secondary effects, multi mode responses, and so on. In other words, the usual procedure is to first consider a classic, elastic response, and then to observe (or speculate about) what

30、 happens as failure limits are approached.中文翻译结构特性分析研究结构的特性在结构设计中是一个很重要的部分, 它是保证设计安全和适 用的基础。这篇文章讨论常用的结构分析方法。1. 分析的目的绝大数的结构是存在时因为他们被需要。 任何一个结构的评价都是从分析结 构如何有效地满足使用要求开始的。设计师必须考虑以下三个因素:1)实用性指结构的形式、构造、耐久性、抗火性以及抗变形能力等的一般物理关系。2)可行性包括造价、材料及产品的实用性和结构的实用性。3)安全性指抵抗设计荷载的能力 。2. 方法一个完整的结构分析包括以下几点:1)确定结构的物理特性 - 材料

31、、形式、尺寸、方向、位置、支承条件以及内部特征和构造。2)确定施加在结构上的负荷 . 即荷载.3)确定结构的变形极限。4)确定结构的荷载效应,即荷载作用对结构的内力、应力和主要变形的影响。5)评定结构是否能够安全地承担所需的结构要求。结构研究可以采用以下三种方法 :1)图解表示街载下结构的变形。2)使用数学模型。3)对结构或比例模型进行试验,测量其在荷载下的效应当需要精确的定量评定时, 可以采用基于可靠度理论的数学模型或直接测量 物理效 应。-般地.建立数学模型先于实际结构 .甚至是先于试验模型。 括号直接 测定限制在试验 研究上或是限定在验证未被检验过的理论上或是限定在设计方法土。3. 直观

32、法本书强调图解法,草图是一种非常有价值的学习及解决问题的建助工具。最 有用的三种图解法是:隔离体图解法、荷载变形结构放大示意图和比例图隔离体图解法是用图解的方法表示一个隔离单元所受的所有外力.这个隔离单元可以 是整体结构或是结构的一部分。例如,图4. 1( a)为一整体结构一梁一柱刚性框架一一和框架研受外力(由箭头表示)。结构所受的外力包括自重、风荷载和支座反力(即反力)。注意:结构所受的力系使结构处于静力平衡状态。图4. 1(b)为从框架上隔离出来的单个梁的隔离体图。该梁承受两种力:自重以及梁端部和与梁相连码在之间的3it相互作用力。梁和柱之间的相互作用力在框架隔离体图中是看不到的。因此梁r

33、T If的隔离体图目的之一是阐明此相互作用力。注意:柱子传递给梁端的不仅有弯距,还有水平力和竖向力。图4.1 (C)为沿梁长度方向上部分梁的隔离体,给出了梁的内力作用。在该隔离体上作用有自重和剖面相反一侧对该梁段所施加的作用力,正是由于此内 力使得整个梁的剩余部分保持平衡。图4.1 (d)为梁截面隔离体中的一小段或一部分,该图显示了这部分与相邻部分间的作用力。此图有助于设计人员了解结构所受的应力。 既然这样,由于它是梁的一部分,因此受到剪应力和线性压应力的作用。荷载一变形结构放大示意图有助于定性确定作用力和形状改变之间的关系。实际上,可以从力或应力的类型来推断变形的形式,反之亦然。例如,图4. 2 (a)表示的是图4. 1所示框架在风荷载作用下的变形放大示意图。应注意从图中如何确定框架的每个构件的弯曲作用特性。图4.2(b)给出了在不同类型应力下,单个隔离体的变形特性。图尼环运动丽ftS4.2踣构的变形比例图为一些数学关系或实测数据的图形。例如,图4. 3代表一弹性弹簧阻尼振动的形式。 该图是位移-时间(s-t )关系图,其关系式如下:S = Psin + R虽然方程已经足够描述位移 -时间的关系,但是图示还可以表示位移时间关系的很多方面,比如位移衰减的比率,振动周期以及在某一特定时 间里振动的具体位置等。分析与设计方法传统的结构设计方法是围绕着工作应力法展开的,此方法

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