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

Five design principles, Visibility. Controls should be clearly visible, so ...

Visibility. Controls should be clearly visible, so users can see the controls that are available to them. Visual feedback should also be clearly visible, so users can understand wh

What is cyclomatic complexity, What is cyclomatic complexity? Cyclomati...

What is cyclomatic complexity? Cyclomatic complexity is a computer science metric (measurement) developed by Thomas McCabe used to generally calculate the complexity of a progr

Various ways of floating point representation in memory, Describe the vario...

Describe the various ways of floating point representation in memory. What is the importance of normalizing the mantissa in this representation? Explain it by example(s)?

Tools for performance measurement, Tools for Performance Measurement Th...

Tools for Performance Measurement The reason behind these algorithms has been to gain a speed up and improve the performance. After the parallel algorithm has been written and

Differentiate between programming tools and authoring tools, Diffrentiate p...

Diffrentiate programming tools and authoring tools Distinction between programming tools and authoring tools is not at first obvious. Though, authoring tools require less techn

Concepts of evolution are used by the genetic algorithm, Q. What basic conc...

Q. What basic concepts of evolution are used by the genetic algorithm? ANSWER: The three concepts are selection, crossover and mutation. Selection is the feature of a genetic a

What is vector processing, What is vector processing?  There is ...

What is vector processing?  There is a class of computational problems that are beyond the capabilities of a conventional computer. These problems are characterized by t

At least two optional data fields, As an XML expert you are needed to model...

As an XML expert you are needed to model a system for an online furniture shop. After an interview with the shop manager you have the certain information: The detail of th

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