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

What are the limitations of a cyclotron, Q. What are the limitations of a c...

Q. What are the limitations of a cyclotron? Limitations (i) Maintaining a consistent magnetic field over a large area of the Dees is difficult. (ii) At high rapidity

What is a heap, What is a heap? The heap is an area of memory that is ...

What is a heap? The heap is an area of memory that is dynamically allocated. As a stack, this may grow and shrink throughout runtime. Not like a stack, a heap is not LIFO show

What do you mean by first fit, What do you mean by first fit? First fi...

What do you mean by first fit? First fit allocates the first hole that is big enough. Searching can either begin at the beginning of the set of holes or where the last first-f

Prove using boolean algebra, Q. Prove using Boolean Algebra 1. AB + AC ...

Q. Prove using Boolean Algebra 1. AB + AC + BC' = AC + BC' 2. (A+B+C) (A+B'+C') (A+B+C') (A+B'+C)=A 3. (A+B) (A'+B'+C) + AB = A+B 4. A'C + A'B + AB'C + BC = C + A'B

Explain dynamic server creation briefly, Explain dynamic server creation br...

Explain dynamic server creation briefly. Dynamic Server Creation: If only one server handles one request at a time, each client should wait while the server fulfils the on

Explain the working of a three bit binary ripple counter, With the help of ...

With the help of clocked JK flip flops and waveforms, explain the working of a three bit binary ripple counter. Write truth table for clock transitions. Ans. Three-Bit Binary Rip

Name of all sap databases, All SAP Databases are Relational Databases ...

All SAP Databases are Relational Databases is the all sap databases.

Significance of having less memory references, Q. What is the significance ...

Q. What is the significance of having less memory references? As the time needed for memory reference is more than that of a register reference so increased number of memory r

Explain technical reasons which made microsoft withdraw, Explain technical ...

Explain technical reasons which made Microsoft withdraw its support for VBA in Mac? Ans) The reasons which made Microsoft drop its carry to VBA are as follows, Microsoft visual

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