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

Explain the microprocessor development system, Microprocessor development s...

Microprocessor development system Computer systems have undergone many changes recently. Machines that once filled large areas have been reduced to small desktop computer syste

Explain about instruction cycle, Q. Explain about Instruction Cycle? Th...

Q. Explain about Instruction Cycle? The instruction cycle for this provided machine comprises four cycles. Presume a 2-bit instruction cycle code (ICC). The ICC can represent t

How do we synthesize verilog into gates with synopsys, How do we synthesize...

How do we synthesize Verilog into gates with Synopsys?  The answer can, of course, occupy various lifetimes to completely answer.. BUT.. a straight-forward Verilog module can b

Inspirations of artificial intelligence, Inspirations of artificial intelli...

Inspirations of artificial intelligence: Artificial Intelligence research can be easily understood by following example in terms of how the following question has been answere

What is register set, What is Register Set Register Set:  Register set ...

What is Register Set Register Set:  Register set is used to keep immediate data during the implementation of instruction. This area of processor having of various registers.

What are the uses of interactive reporting, What are the uses of interactiv...

What are the uses of interactive reporting? The user can actively control data retrieval and show during the session.  Instead of an extensive and detailed list, you make a ba

How is basic authentication worked, How is basic authentication worked? ...

How is basic authentication worked? When an exact resource has been protected using fundamental authentication, Apache sends a 401 Authentication needed header along with the r

Explain about multiple program multiple data, Q. Explain about Multiple Pro...

Q. Explain about Multiple Program Multiple Data? Like SPMD, MPMD is in fact a 'high level' programming model that can be built on any combination of previously described parall

Java, about java types

about java types

What do you mean by shopping bots, Q. What do you mean by shopping bots? ...

Q. What do you mean by shopping bots? ANSWER: A shopping bot or buyer agent is an intelligent agent on a Web site that assists you, the customer, search the products and servic

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