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

Change to palindrome, given a string S convert it to palindrome by doing ch...

given a string S convert it to palindrome by doing character replacement.convert S to palindrome with minimum character replacements

Time complexity in the worst case, Speicified the following piece of code: ...

Speicified the following piece of code: int i = 1; int j = 4; while (i     {      if (i%3 == 0) i+=3;      else i+=4;        if (j%2 == 0) j*=4;      els

What are the types of instructions, Q. What are the types of Instructions? ...

Q. What are the types of Instructions? Computer instructions are translation of high level language code to machine level language programs. So from this point of view machine

What are various ids associated with a process, What are various IDs associ...

What are various IDs associated with a process? Unix identifies each process with a unique integer known as ProcessID. The process that implements the request for creation of a

What is the purpose of reserved word using in c#, A keyword that states the...

A keyword that states the types in a particular namespace can be referred to without requiring their full qualified type names. 'using' reserved word always come with namespace

Which types of software programs are usually supported, Which types of soft...

Which types of software programs are usually supported? Our organization is unique in that we are very flexible and can meet most client requires relative to the integration of

Layered architecture.., advantages and disadvantages of layered architectur...

advantages and disadvantages of layered architecture in computer network.

Explain the basic syntactic constructs through reductions, Recognition of b...

Recognition of basic syntactic constructs through reductions, this task is performed by? By Syntax analysis, recognition of fundamental syntactic constructs through reductions

Colour - elements of composition, Colour The use of colour is consider...

Colour The use of colour is considered by many to be one of the most important areas in composition. Colours can be used in isolation or specific combinations to create partic

Differences between cisc and risc architectures, Question: a) What is ...

Question: a) What is the main difference between the Princeton and Harvard microprocessor architectures? b) State five main differences between CISC and RISC architectures?

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