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

Implementation of 4-to-1 multiplexer, Implement the Y(A, B, C) = ∑(2,3,5,6)...

Implement the Y(A, B, C) = ∑(2,3,5,6) function using 4-to-1 multiplexer.   Ans. Y(A,B,C)=∑(2,3,5,6) Here we take B,C as the select bits also A as input. To select the input we can

Give an example of shortest job next scheduling, Consider the following set...

Consider the following set of jobs with their arrival  times, execution time (in minutes), and deadlines. Job Ids Ar r ival Time E xecuti

Explain the working of light pens, Explain the working of light pens Li...

Explain the working of light pens Light pens still exist, but due to several disadvantages they are not as popular as other input devices that have been developed. For example,

Excess 3 codes, Explain Excess 3 Codes Ans. Excess 3 Codes 1....

Explain Excess 3 Codes Ans. Excess 3 Codes 1. This is the other form of BCD code. All decimal digits are coded in 4 bit binary code. 2. The code for all decimal di

Computational study of a spring-mass system, Idealized spring-mass systems ...

Idealized spring-mass systems have numerous applications throughout engineering. Fig.1 shows an arrangement of three masses and four springs which, after is released, is pulled dow

Advantage of using interrupt initiated data transfer, What is the advantage...

What is the advantage of using interrupt initiated data transfer over transfer under program control without interrupt? In the interrupt initiated data transfer, the processor

Design a circuit which computes the square of a number, Design a circuit wh...

Design a circuit which computes the square of a number? This should not make use of any multiplier circuits. This should use Multiplexers and some other logic as: 1^2=0+1=1

Characteristics of the id process, The following is taken from the first ed...

The following is taken from the first edition of the Set Book. We have included this because we find these characteristics helpful. We will refer to them later. In addition to t

What do you understand by electronic funds transfer, What do you understand...

What do you understand by Electronic Funds Transfer?  Electronic Funds Transfer: It's an electronic payment method that transfers the money value from one bank account to

Explain how does cpu perform read and write operation, Q. Explain how does...

Q. Explain how does CPU perform Read and Write operation on peripheral device taking suitable example in case of Synchronous Technique.

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