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

What is the difference between swapping and paging, What is the difference ...

What is the difference between Swapping and Paging? Swapping: Entire process is moved from the swap device to the major memory for implementation. Process size must be less t

Length property of array , DEscribe a console application to show all the a...

DEscribe a console application to show all the arguments passed tocommand line whereas running the application. The user can pass anynumber of arguments that should be shown. Use l

Explain the probability of availability of free lines, How does one arrive ...

How does one arrive at the probability of availability of free lines during the busy hour? One can arrive at the possibility of free lines throughout busy hour using the delay

Enumerate data structures used during 1-pass of assembler, Enumerate the da...

Enumerate the data structures used during the first pass of the assembler. Indicate the fields of these data structures and their purpose/usage. Three main data structures used

Explain about truth table and logic diagram, Q. Explain about truth table a...

Q. Explain about truth table and logic diagram? A Boolean function can be realized in a logic circuit employing the basic gates: - AND, OR & NOT. Concern here for illustration

What is reification, What is reification? It is the promotion of someth...

What is reification? It is the promotion of something that is not an object into an object. Helpful method for Meta applications. It shifts the level of abstraction. Promote

Are there any special rules about inlining, Are there any special rules abo...

Are there any special rules about inlining? Yes, there are some rules about inlining - a.) Any source files which used inline function should contain function's definition.

What is clock gating, What is Clock Gating? Clock gating is one of the...

What is Clock Gating? Clock gating is one of the power-saving methods used on several synchronous circuits with the Pentium four processors. To save power, clock gating consid

Generates sequence code, The basic project will have each group generate a ...

The basic project will have each group generate a sequence of 1's and 0's using  the Motorola 688HC11 board to turn ON and then turn OFF the TV set installed in ATRC 306. Each tele

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