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 cts and cls, What is CTS and CLS? CLS stands for common langua...

What is CTS and CLS? CLS stands for common language specification CTS stands for common type system.

Explain magnetic read and write mechanisms, Q. Explain Magnetic Read and Wr...

Q. Explain Magnetic Read and Write Mechanisms? Data are recorded on and then retrieved from disk via a conducting coil called the head. In numerous systems there are two heads,

What are the advantages of segmentation, What are its advantages? How is se...

What are its advantages? How is segmentation implemented in typical microprocessors? The first benefit that memory segmentation has is that only 16 bit registers are necessary

What is public key cryptography, What is Public Key Cryptography? Pub...

What is Public Key Cryptography? Public-key cryptography is a type of modern cryptography that allows users to communicate safely without any previously agreeing on a shared

Characteristics of a pipeline, What are the main characteristics of a pipel...

What are the main characteristics of a pipeline? Ans: The main characteristics of a pipeline are: a) The speedup or efficiency gain by suing a pipeline depends on the numbe

what is code for adding two integers in java?, import java.util.Scanner;  ...

import java.util.Scanner;   class AddNumbers {    public static void main(String args[])    {       int x, y, z;       System.out.println("Enter two integers to calculate their sum

Find the boolean expression for the logic circuit, Find the boolean express...

Find the boolean expression for the logic circuit shown below. Ans. Output of Gate-1 (NAND) = (AB)' Output of Gate-2 (NOR) = (A'+B)' Output of Gate-3 (NOR) = [(AB)' + (

Realize x-nor gate using nand gate, Q. A. Which gates are called Universa...

Q. A. Which gates are called Universal Gates? Why? B. State and prove any one of the DeMorgen's Laws. Show that these theorems can be extended up to any number of variables.

Explain how someone refine the ratio analysis, Refining the Ratio Analysis ...

Refining the Ratio Analysis Basically, refinement leads to purity. Thus to get a cleaner, more understandable and consistent design need to iterate analysis process.  R

Differentiate between sequential and combinational circuits, Problem 1 ...

Problem 1 Prove that :- x(x + y) = x by using identities 2 Write a short note on Analog to Digital Converter (ADC) 3 Differentiate between sequential and combinational ci

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