Slope deflection equations, Computer Engineering

Assignment Help:

Slope Deflection Equations for a Member:

In this section, we will develop a few general equations needed for further discussion in the moment distribution context.

2368_Slope Deflection Equations.png

Figure 5(a) shows a beam hinged at the end A and fixed at B. A clockwise moment MA at A produces a clockwise rotation θA at end A, the moment at end B is assumed MB while the slope at the fixed end B is zero. The vertical reactions at VA and VB are equal in magnitude but their directions will be opposite as shown in the diagram producing an anticlockwise couple to balance the couple due to the end moments MA and MB.

i.e.       - VA = VB   =   MA+MB/L

To find out MA and MB we shall apply the moment area method. The bending moment (÷ EI) diagram is shown in Figure. At the left hand end clockwise MA is positive (sagging) BM while at the right hand end clockwise MB is a negative (sagging) BM.


Related Discussions:- Slope deflection equations

Evaluation function - canonical genetic algorithm, Evaluation function - ca...

Evaluation function - canonical genetic algorithm: However note that this termination check may be related or the same as the evaluation function - that discussed later - but

Give difference between top down and bottom up parsing, Give difference bet...

Give difference between top down parsing and bottom up parsing. Top down parsing: Specified an input string, top down parsing tries to derive a string identical to this by s

Linux, Explain about unix file system architecture

Explain about unix file system architecture

Communication of request/response - procedural interaction, Explain the Com...

Explain the Communications of Request/Response Communications requirements for message or procedural- based interaction are very similar. Application interaction (client-server

Explain inheritance, Can you explain what inheritance is and an example of ...

Can you explain what inheritance is and an example of when you might use it? The process of deriving a new class from an existing class is known as Inheritance. The old class i

Realize x-nor gate using nand gate, Q. A. Which gates are called Universa...

Q. A. Which gates are called Universal Gates? Why? B. State and prove any one of the DeMorgen's Laws. Show that these theorems can be extended up to any number of variables.

What is the difference between wire and register, What is the difference be...

What is the difference between wire and reg Wire Wire is used for designing combinational logic, as we all know that this type of logic cannot store a value.  As  you  can

What are the techniques of data collection, What are the techniques of Data...

What are the techniques of Data Collection It can be either automatic or manual. Manual techniques can include: -  Keypads/Keyboards to type in data -  touch screens to s

Architecture of world wide web with the basic entities, Explain architectur...

Explain architecture of World Wide Web with the basic entities. The architecture of the World Wide Web, demonstrated below, is the one of clients, as like Netscape, Lynx or Int

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd