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1、8-1 8-1 力矩分配法力矩分配法力矩分配法是基于位移法的逐步逼近精确解力矩分配法是基于位移法的逐步逼近精确解 的近似方法。的近似方法。单独使用时只能用于无侧移（线位移）的结单独使用时只能用于无侧移（线位移）的结 构。构。Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose P
2、ty Ltd.Copyright 2004-2011 Aspose Pty Ltd.8-1 8-1 力矩分配法力矩分配法一.基本概念固定状态:-不平衡力矩,顺时针为正固端弯矩-荷载引起的单跨梁两 端的杆端弯矩,绕杆端顺时针为正.放松状态:需借助分配系数,传递系数等概念求解Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copy
3、right 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.转动刚度：转动刚度：使AB杆的A端产生单位转动，在A端所需施加 的杆端弯矩称为AB杆A端的转动刚度，记作SAB。A A端一般称为近端（本端），端一般称为近端（本端），B B端一般称为远端（它端）。端一般称为远端（它端）。对等直杆，对等直杆，S SABAB只与只与B B端的端的支撑条件有关支撑条件有关。114iEvaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client
4、 Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.-分配弯矩-分配系数一个结点上的各杆端分配系一个结点上的各杆端分配系数总和恒等于数总和恒等于1 1。令Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Cr
5、eated with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.令-分配弯矩-分配系数一个结点上的各杆端分配系一个结点上的各杆端分配系数总和恒等于数总和恒等于1 1。Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.S
6、lides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.-传递系数传递系数远端固定时远端固定时: :远端铰支时远端铰支时: :远端定向时远端定向时: :C=1/2C=1/2C=0C=0C=-1C=-1传递弯矩与远端支承 情况有关14i2i13i1iEvaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2
7、.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.固定状态:放松状态:最终杆端弯矩:Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client P
8、rofile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.固定状态:放松状态:最终杆端弯矩:分 配 传 递MEvaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pt
9、y Ltd.Copyright 2004-2011 Aspose Pty Ltd.例1.计算图示梁,作弯矩图分 配 传 递解:MEvaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.例2.计算图
10、示刚架,作弯矩图解:分配 传递结点杆端BA1C B1A11A1B1CC11/2 3/8 1/8-1/4 1/41/8 所的结果是 近似解吗?Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.
11、练习求不平衡力矩作图示梁的弯矩图(利用传递系数的概念) 40kN.m20kN.mEvaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.练习:作弯矩图解:10050分 配 传 递Evaluatio
12、n only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.-57.1固定状态:二.多结点力矩分配-28.6-42.928.621.4-9.2-12.2-6.16.16.13.52.61.81.8 . 放松结点2(结点
13、1固定):放松结点1(结点2固定):Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.-57.1-28.6-42.928.621.4-9.2 -12.2 -6.16.16.13.52.61.
14、81.8 . 分 配 传 递0.5710.429 0.5710.4290150 -100100 00-57.1-42.90-28.6 -12.2-9.20-6.1 3.5 2.601.8-0.8-1.00140-140 40.3 -40.3014040.3MEvaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2
15、004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.40.3M作剪力图,求反力140Q467469.9750.034.0369.9774Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copy
16、right 2004-2011 Aspose Pty Ltd.例：试求作图示连续梁的M图。EI等于常数，l1=6 m, l2=5 m，P=1000kN。（只计算二轮）Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.17211922656595 3279-2500-15001500-2500 -938 -5621765 735883-735-281-469-301 -301-151-151 94 5747291074454 -42 -42-44-1922656 -656-5955941
