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

Moral and ethical implications, • Moral and Ethical Implications o Will ...

• Moral and Ethical Implications o Will this be safe to have on the road    Will the computers on board be able to handle extreme circumstances • Hazardous conditions o Ex

What is digital versatile disk read only memory, DVD-ROM employs same princ...

DVD-ROM employs same principle as a CD-ROM for reading and writing. However a smaller wavelength laser beam is used. Total capacity of DVD-ROM is 8.5GB. In double-sided DVD-ROM two

Design a xnor gate and define its work, N number of XNOR gates is linked in...

N number of XNOR gates is linked in series that is the N inputs (A0, A1, A2......) are specified in the subsequently way: A0 and A1 to first XNOR gate and A2 and O/P of First XNOR

C++, Write a program to find the area under the curve y = f(x) between x = ...

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b

Network properties, Network Properties There are many properties are as...

Network Properties There are many properties are associated with interconnection networks:- 1) Topology: It signify how the nodes a network are organised. A variety of top

What is winchester technology, What is Winchester technology? The disk ...

What is Winchester technology? The disk and the read/write heads are placed in a sealed air-filtered enclosure known as Winchester technology.

Classes of experts system, 1. The Consultant : A consultant is an experts...

1. The Consultant : A consultant is an experts person who possesses a high level of expertise in the area. He guide and educate the executives regarding establishing the e

Basic operational concepts of a computer, Basic Operational Concepts of a C...

Basic Operational Concepts of a Computer: Most of computer operations are executed in the ALU (arithmetic and logic unit) of a processor. For an example: to add 2 numb

How and what data is gathered- simulation, How and what data is gathered- S...

How and what data is gathered- Simulation To make this as realistic as possible, data is required to be gathered over a long period of time. This can be done by sensors near/i

Security features used in client-server types of network, Security features...

Security features used in Client-Server types of network are as follows :  i) Digital Signatures ii)  Encryption / Decryption iii) Secure Socket Layer (SSL) iv) Firewa

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