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

Describe about general-purpose registers, Q. Describe about general-purpose...

Q. Describe about general-purpose registers? The general-purpose registers as the name proposes can be used for several functions. For illustration they may comprise operands o

What is an "on input filed" statements, What is an "on input filed" stateme...

What is an "on input filed" statements? ON INPUT The ABAP/4 module is known as only if a field having the Value other than the initial Value. This initial Value is explain

Define the boolean algebra, Define The Boolean algebra? A set of rules in...

Define The Boolean algebra? A set of rules invented by the English mathematician George Boole describe certain propositions whose outcome would be either true or false with regar

Cohesion assignments, what can be different assignments given on this topic...

what can be different assignments given on this topic?

Explain deadlock detection algorithm for single instance, Explain deadlock ...

Explain deadlock detection algorithm for single instance of each resource type. For single instance of each resource type the deadlock detection algorithm: (i) Maintain a wa

Describe the uses of credit cards and smart cards, Credit cards and smart c...

Credit cards and smart cards Credit cards comprise a magnetic stripe on the back made up of iron-based particles in a plastic film. Stripe is split up into 3 tracks which a

Adaptive mechanism in Ais, pls give the list of adaptive mechanism in arti...

pls give the list of adaptive mechanism in artificial immune system

What is enhanced ide, Q. What is Enhanced IDE? The principle behind EID...

Q. What is Enhanced IDE? The principle behind EIDE interface is the same as in IDE interface however this drive has capacities varying from 10.2GB to 20.5GB. The rotation speed

Natural interfaces, A breakthrough in the AI intelligence the development ...

A breakthrough in the AI intelligence the development of natural interfaces is a prerequisite to the optimal use of computers by human beings. It incorporates: a. Natural La

Explain cocomo model, A COCOMO model is :- COCOMO:- Constructive Cost Es...

A COCOMO model is :- COCOMO:- Constructive Cost Estimation Model.

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