......BOOKS......
R C. Hibbeler, ―Structures Analysis”, Pearson Prentice Hall : DOWNLOAD
....NOTES....
LINKS TO DOWNLAOD FILES ARE GIVEN IN BETWEEN
1. Determinate & Indeterminate Structures
It consists of study of determinate and indeterminate structures, difference between statically determinate and indeterminate structures, degree of static indeterminacy (Ds) and kinematic indeterminacy (Dk).
Important Questions :
1.Difference between statically determinate and indeterminate structures. ( mostly in Question 1, for 5 Marks )
2.Definition and formula of Ds and Dk. ( for 2 Marks )
3.Determination of degree of static and kinematic indeterminacy. ( mostly in Question 1, 3 questions ( beam, frame and truss ) 3*2 i.e. 6 Marks )
How to calculate Ds :
1.Calculate R, m, j and C.
2.Write formula of Ds i.e. Ds = Dsi + Dse
3.Internal Indeterminacy Dsi = -∑(m-1) ...( for beam where m in no of members attached to Internal Hinge )
4.Internal Indeterminacy Dsi = 3C-∑(m-1) ...( for frame where C is no of cuts required to open frame, and m is no of members connected to Internal Hinge )
5.Internal Indeterminacy Dsi = m-(2j-3) ...( for truss )
6.External Indeterminacy Dse = R-3
7.Ds = Dsi + Dse
How to calculate Dk :
1.Dk = 3j-R + 4*I.H. ...( for beam and frame where j is no of joints, R is no of reactions, and I.H. is no of Internal Hinge )
2.Dk = 2j-R ...( for truss where j is no of joints and R is no of reactions )
3.These answers include axial deformations as well as vertical displacement. Actual Dk is less than the calculated Dk.
4.Show displacement and moment on the diagram.
The reason Ds and Dk should be calculated by this method is because it is based on formula, and if you write formula you will get marks even if your final answer goes wrong.
Notes : Determinate & Indeterminate Structures - Click here to download! ( Page No 1 to Page No 11 )
2. Clapeyron’s Theorem of Three Moments / Clapeyron’s Three Moment Theorem
Based on only one major formula, it is one of the easiest topic in Structural Analysis –II. But it might get complicated when deflection at the support is involved i.e. when supports are sinking. In some cases, two point loads are acting between adjacent supports.
Important Question :
Analyse the beam by three moment theorem ( 10 Marks )
Types :
-Beam with both supports fixed
-Beam with one of the support is sinking
-Beam with two of the supports are sinking
-Beam with UVL i.e. triangular loading.
-Beam with two points load acting in between adjacent supports. ( May 15, Qn 2-b Click here to download )
First page should be kept for diagrams starting from Force diagram ( includes point loads, udl, uvl, suport reactions ), Free BMD (kNm ), Support BMD ( kNm) , Imposed BMD ( kNm), Net BMD ( kNm), SFD (kN). If you are not sure about the values of Net BMD, just draw the diagram and leave values blank.
Notes : Clapeyron’s Theorem of Three Moments - Click here to download! ( It has almost all type of sums including university questions. )
Notes : Clapeyron’s Theorem of Three Moments from Notebook - Click here to download! ( Page No 15 to Page No 25 )
3. Moment Distribution Method
This question usually comes for 10-12 marks. It is easy but time consuming hence requires lot of practice and accuracy. Beam may have a sinking support. Frame may be sway or non-sway. In university papers, analysis of frame by MDM is asked. While preparing, start the analysis of beam by MDM and get familiar with technical terms like Distribution Factor, Carry-over factor. Procedure is same for beam and frame. Only difference is to check if it is a sway frame or not. If it is a sway frame, sway analysis has to be done at the end of the sum where sway factor is to be calculated. ( Refer Page No 49,Moment Distribution Method from Notebook )
Notes : Moment Distribution Method - Click here to download! ( It has all type of sums including beam, beam with sinking support, non-sway frame )
Notes : Moment Distribution Method from Notebook - Click here to download! ( Page No 26 to Page No 56 )
Don't forget to draw SFD, BMD, Net BMD at the end. Even if you are not sure about the values, just draw the diagram and leave values blank.
4. Slope Deflection Method
Notes : Slope Deflection Method - Click here to download!
Notes : Slope Deflection Method from Notebook - Click here to download! ( Page No 57 to Page No 80 )
5. Plastic analysis & Shape Factor
For theory of Plastic analysis, refer Bhavikatti Volume 2 or Ramamurtham.
Notes : Plastic analysis - Click here to download!
Notes : Shape Factor - Click here to download!
Notes : Plastic analysis and Shape Factor from Notebook - Click here to download! ( Page No 81 to Page No 108 )
6. Stiffness Method
Notes : Stiffness Method - Click here to download!
Notes : Stiffness Method notebook - Click here to download!