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

Internrt application, what is the significance of telecommunications deregu...

what is the significance of telecommunications deregulation for managers and organization

What is the linkage section used for, The linkage section is used to pass d...

The linkage section is used to pass data from one program to one more program or to pass data from a PROC to a program.

What is a priority interrupt, What is a Priority Interrupt? A priority ...

What is a Priority Interrupt? A priority interrupt is an interrupt that establishes a priority over the various sources to determine which condition is to be serviced first whe

What are the parts of a deployment diagram, ? Nodes: A node shows any hardw...

? Nodes: A node shows any hardware component. The configuration of hardware is shown by attributes of nodes. ? Components: A component shows software. Every component straight

Develop a plan to apply theory of constraints, 1. The Goal: Do you think th...

1. The Goal: Do you think that this is an operational methodology or a philosophy? Please explain. 2. How to apply Constraint Management to a Production Facility? How about to a

What is byte addressable memory, What is byte addressable memory? The a...

What is byte addressable memory? The assignment of successive addresses to successive byte locations in the memory is known as byte addressable memory.

Salient features of direct addressing mode, Q. Salient features of direct a...

Q. Salient features of direct addressing mode? A number of salient points about this technique are: This scheme offers a limited address space since if address field has

What is priority interrupt, What is Priority interrupt. It is a system ...

What is Priority interrupt. It is a system that establishes a priority over the several resources to determined which condition are to be serviced first when two or more reques

State the term organizational structure, State the term Organizational Stru...

State the term Organizational Structure. A business organization might be structured in many various ways, depending on the environment in that this operates. There are alwa

Solve out linear equations, Assume that you have been asked to solve proble...

Assume that you have been asked to solve problem with exact area constraints, the area error being no more than 1% for each department. What are the linear equations you would nee

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