Structural Analysis IV
Lecture Notes for 2011/12
- Course Introduction (No click)
- Virtual Work: Compound Structures (No click)
- Virtual Work: Advanced Examples (No click) (will not be gone through in class)
- Matrix Stiffness Method (No click)
- Structural Dynamics (No click)
Lecture Notes for 2010/11
Compound Structures using Virtual Work
- Notes here (No click) – quite a lot of updates.
- A proof of the means of using the integration tables for part UDLs here (No click).
Matrix Stiffness Method
Lecture Notes for 2009/10
Matrix Stiffness Method
Nice pretty new notes here (No click).
A beam analysis spreadsheet (666 hits) based on the stiffness method.
Structural Dynamics
Solutions to Examples (No click) – please try the example problems though before you view the solution.
Extra: explanation of the amplitude solution (No click) to the equation of motion.
Major overhaul of the Structural Dynamics notes for 2009/10 here (504 hits).
Software to complement the notes for download:
- Excel: SDOF Undamped Free Vibration (No click): basic introduction example;
- Excel: SDOF Damped Free Vibration (No click): introduces damping into the problem;
- Excel: SDOF Damped Forced Vibration – Harmonic (No click): analysis when harmonic (sine) loading applied;
- Excel: SDOF Damped Forced Vibration – Newmark (No click): numerical method for arbitrary loading;
- Matlab: Figure 1.3 (No click) script;
- Matlab: sdof_undamped (267 hits) function;
- Matlab: sdof_damped (203 hits) function;
- Matlab: sdof_forced (216 hits) function;
- Matlab: phase (197 hits) function;
- Matlab: phase (No click) script;
- Matlab: newmark_sdof (294 hits) function;
- Matlab: Newmark (No click) script;
- Matlab: Figure 2.5 (No click) script;
- Matlab: Figure 2.8 (No click) script;
- Matlab: DAF (205 hits) function.
Combined Structures
Moderately updated from last year:
Lecture Notes for 2008/9
Computer Modelling of Structures – Group Projects – 2008/9
The projects are available as follows:
- Group 1 – Not yet available;
- Group 2 (No click) – Nonlinear analysis of an RC beam;
- Group 3 (No click) – Shear walls with openings;
- Group 4 (No click) – Arching action in curved masonry walls;
- Group 5 (No click) – Flat slab design using nonlinear FE and traditional methods;
- Group 6 (No click) – Investigation of strip footings under column loads;
- Group 7 (No click) – Convergence of FE to theoretical result for plane stresses in a beam;
- Group 8 – Not yet available;
- Group 9 (No click) – Calculation of beam deflections subsequent to a stiffness analysis;
- Group 10 (No click) – Vibration absorption for an SDOF system;
- Group 11 – Not yet available.
Semester 1 Exam Handout (No click).
Lecture Notes for 2007/8
These notes were developed based on Robert Mahony’s notes delivered to DIT for over 20 years. They are not computerized but scanned in acetates but they may still prove useful.
- Combined Structures: Virtual work analysis used for structures whose members undergo bending and/or axial force.
- Analysis of Arches: Virtual Work for moments/shears and axial forces in parabolic and semi-circular arches.
- Stiffness Method: The basis of modern structural analysis software. A particular case of FE.
- Influence Line Analysis: Used to determine design loads for members in structures subjected to moving loads (e.g. bridges) or for repeated analysis of a structure under various loading scenarios.
- Structural Dynamics: Exact and approximate methods of determining the motion of structures under dynamic loading scenarios.
Software
LinPro (562 hits) is great for analysing 2D structures. There are no bells & whistles to distract from the basic analysis and you can see the stiffness matrix for each member. The interface is quite easy (apart from the load definitions which are strange!). Well recommended for checking hand calculations and vice-versa.
Comments
Comment from Colin
Time: 21 November, 2008, 13:53
That’s right – aL is a non-integer – as found from the roots of eq 4.28. Knowing L, substitute aL into eq. 4.21 to get w = a^2*(EI/m)^0.5. The first three roots, or values of aL, are given in Fig. 4.4.
Comment from sintayehu
Time: 11 March, 2009, 14:08
I loved your site for its completeness. I’m now studying civil engineering in Ethiopia(Jiimma University). It is my request if you can possibly send me materials for we have almost none in the University.
Comment from Colin
Time: 11 March, 2009, 14:16
Sintayehu,
Thanks for your kind comments. Feel free to download anything of interest from the site.
Comment from Ali El-baden
Time: 2 January, 2010, 22:40
it is one of the best web site i have seen
Comment from Liz
Time: 23 January, 2010, 20:35
Best site ever! I don’t know what I’d have done if I hadn’t found this site. Your notes are amazing!
Comment from HAKIZIMANA GAETAN
Time: 3 July, 2010, 11:59
From now I got the full knowledge to help me in my study
I thank you a lot for this hard work that you have done.
Comment from Constantinos Kalotaris
Time: 19 August, 2010, 18:27
For those interested in structural dynamics also the notes of Prof Lynch from University of Michingan Ann Arbor
Comment from umesh p patil
Time: 27 September, 2010, 12:24
dear dr colin ..i am working as assitant professor in the prestigious KLE engineering college belgaum,INDIA U have done a commendable service by providing these material online…I have gone through lecture note and liked the way u presented them..thanx a million
Comment from Colin
Time: 22 October, 2010, 20:56
Thanks for your kind comments!
Comment from Norman
Time: 30 October, 2010, 03:21
Dear Colin, without your notes I could have never managed second year- BEng-civil, the way you present your concepts, it just makes things easy. Thanks for your generosity.
Comment from Steve O’Callaghan BEng (Hons) M.ASCE MCIArb CEng MIEI
Time: 3 March, 2011, 20:13
This site is truely a credit to you. If only there were more engineers like you who like to see our profession progress the way you do. You are an inspiration.
Comment from RASAQ KEHINDE
Time: 8 March, 2011, 11:54
Dear Collin. it,s a great pool of knowledge in structural analysis. it had really improve my knowledge of Analyzing indeterminate structures. Thanks
Comment from Arun
Time: 15 April, 2011, 07:46
Dear Sir, It’s great to see such an open minded person like you. your web page is really wonderful.
Research Scholar, India
Comment from kk
Time: 17 June, 2011, 03:34
can i get spreadsheet for analysis of coninuous beam using matrix stiffnes method……..
Comment from Jay
Time: 7 July, 2011, 06:33
hii all , I m M.tech student.
If anyone have visual basic program and excel sheets for design and punching shear check of flat slab please send it on my e-mail.
Comment from Jay
Time: 7 July, 2011, 06:34
My e-mail id is jaypatel187@yahoo.in
Comment from John
Time: 20 October, 2011, 14:56
I’d like to thank you for sharing all this information online. The notes you’ve posted online especially for Structural Analysis III have greatly assisted me.
Comment from Alex
Time: 30 November, 2011, 08:53
Each and every single note that you have posted was great. I hope, so many students all over the world would enjoy it. Thank you so much.
Comment from JOHN85
Time: 8 December, 2011, 23:51
I would like to thank you so much for sharing all this stuff and notes, especially on Structural Analysis. However, i would be grateful if you could assist me in the following: elastoplastic (non linear) SDOF system analysis in MS Excel, using Newmark’s linear acceleration numerical method. It could be extremely useful if you d post or mail to me a procedure in Excel for A.K.Chopra’s Dynamics of Structures, Example exercise 5.5, page 190. I cant find out how can i check whether the system is behaving elastically or plastically for each time step, so that we use ki=k or ki=0 and fsi=…… or fsi=fy respectively.
Comment from Neil Kempton
Time: 21 November, 2008, 12:46
Great notes on structural dynamics. At the risk of sounding like a smartarse, have a look at p34. solution to cos(x)cosh(x) + 1 = 0 will be n(pi) except that n will be a non integer determined numerically? This is unlike the s-s example.