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

Additions of numbers by using 2’s complement, Add +25 to -15 by using 2's c...

Add +25 to -15 by using 2's complement ? Ans. Firstly convert the numbers 25 and 15 in its 8-bit binary equivalent and determine the 2's complement of 15, after that add +25 to -

What is scan, What is "Scan"? Scan Insertion and ATPG helps test ASICs ...

What is "Scan"? Scan Insertion and ATPG helps test ASICs (e.g. chips) during manufacture. If you know what JTAG boundary scan is, then Scan is the similar idea except that it i

Operation research, how to implement a modified distribution method using c...

how to implement a modified distribution method using c/c++

Describe architecture of wap gateway, Describe architecture of WAP gateway....

Describe architecture of WAP gateway. WAP GATEWAY : It is a very unique product giving semi-automatic redirection of HTML documents to WAP compatible mobile phones. Wir

What is the significance of asp.net routing, ASP.NET MVC uses ASP.NET routi...

ASP.NET MVC uses ASP.NET routing, to map incoming browser requests to controller action process. ASP.NET Routing makes use of route table. Route table is formed when your web appli

What is refactoring, What is refactoring? Refactoring is explained as t...

What is refactoring? Refactoring is explained as the changes to the internal structure of software to improve its design without changing its external functionality. It is an e

What are the disadvantages of a smart card, What are the disadvantages of a...

What are the disadvantages of a Smart Card? Disadvantages of Smart Cards are as follows: a. The value of money can be depleted and recharged. b. Customers should keep

What are subroutines, What are subroutines? Subroutines are program mo...

What are subroutines? Subroutines are program modules, which can be known  from other ABAP/4 programs or within the similar program.

By which MTU is specified, MTU is specified by? MTU is specified by har...

MTU is specified by? MTU is specified by hardware technology.

How many instructions in a computer, Q. How many instructions in a Computer...

Q. How many instructions in a Computer? A computer can have a vast number of instructions and addressing modes. Older computers with the growth of Integrated circuit technolog

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