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

Disadvantages of pipeline - computer architecture, Disadvantages of pipelin...

Disadvantages of pipeline: Pipeline architecture has 2 major disadvantages.  First is its complexity and second is the inability to constantly run the pipeline at full speed,

Which one is better hardware or software firewall, Which one is better hard...

Which one is better hardware or software firewall While deciding whether to buy a hardware or software firewall, the user must consider important factors such as performance an

Determine the benefits of message passing, Determine the benefits of Messag...

Determine the benefits of Message passing Message passing provides two major benefits: An object's properties are expressed by its methods, thus message passing support

Two - bit correlating predictor, The history file, history.txt, is the bran...

The history file, history.txt, is the branch history of a run of the gcc compiler (the first field is the address of the branch instruction, the second field is the target branch a

Floating point format, consider the 8 bit floating point format including s...

consider the 8 bit floating point format including support for normalised nimbers and nonnumeric values.it included 3 bits for mantissa and 4 bitys for excess 7 exponent

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

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

Limitations of experts system, 1. It is hard even for a highly skilled ex...

1. It is hard even for a highly skilled experts to abstract good situational assessment when he is under time pressure. 2. Expert systems perform well with specific t

Identify the fastest logic gate, Which of the following is the fastest logi...

Which of the following is the fastest logic ECL, TTL, CMOS or LSI ? Ans. The fastest logic is ECL.

Determine the firewall in intranet technology, Determine the firewall in In...

Determine the firewall in Intranet technology Firewall remains the basic foundation of Internet and Intranet security, for many users getting into the corporate Intranet would

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