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Structural Analysis III

Lecture Notes for 2009/10

Semester 2

  • Macaulay’s Method for Indeterminate Structures: The deflections of indeterminate flexural structures. Minor updates of last year’s notes.
  • Virtual Work…again only minor updates unfortunately.
  • Plastic Analysis – new examples and extra explanation make this a thrilling read!

Semester 1

The Lab notes for, well, the laboratory work.

Qualitative Analysis notes for the analysis of structures without numerical calculation.

Basis for the Analysis of Indeterminate Structures – updated from last year’s set – background concepts and commonly used assumptions are explained;

The Moment Area Method notes: lots of updates – hopefully much more interesting! Supporting downloads are:

Updated Moment Distribution notes.

Lecture Notes for 2008/9

Semester 2

  • Macaulay’s Method for Indeterminate Structures: The deflections of indeterminate flexural structures. An updated set of last year’s notes.
  • Virtual Work: Used to analyse frames and trusses for moments and deflections. An updated set of last year’s notes.
  • Plastic Analysis: The calculation of the actual collapse load of structural frames, given the capacity of the members. An updated set of last year’s notes.
  • Semester 2 Exam information for the revised format;
  • Plastic Bending of Beams Lab workings;
  • UPDATED set of Plastic Analysis notes, with an extra example.

Christmas Spaghetti Bridge Competition Results 2008/9

Group Bridge Weight (kg) Strength (kg) SW Ratio Prediction (kg) PS Ratio
1 0.861 4.81 5.59 7.0 1.46
2 0.820 9.01 10.99 8.0 0.89
3 0.859 4.24 4.94 15.0 3.54
4 0.641 6.48 10.11 10.0 1.54
5* 0.327 0.97 2.97 3.0 3.09
6 0.857 1.9 2.22 2.3 1.21
7* 0.971 8.14 8.38 10.0 1.23
8* 0.523 1.07 2.05 1.5 1.40
9* 0.400 1.5 3.75 2.0 1.33
10 0.787 6.88 8.74 10.0 1.45
11 0.885 7.86 8.88 3.5 0.45


* These groups were disqualified due to non-conformance with the specifications of the problem.

First, second, and third were awarded to Groups 2, 4 and 11 respectively (as may be seen by sorting on the SW column). The Faculty Director also awarded Group 5 a special merit prize for their unique entry.

One very intersting aspect of the results is the significant over-estimation of strength across the board, save for Groups 2 and 11. Is it coincidence that these groups were prize-winners?

Semester 1

Lecture Notes for 2007/8

  • Mohr’s Theorems: Used to calculate deflections and reactions of determinate and indeterminate structures.
  • Moment Distribution: Hand method for the analysis of indeterminate structures.
  • Structure Characteristics: The identification of the type of structure being analysed and whether it is stable or not and the movement that structures may undergo, covers Stability; Statical Determinacy and Indeterminacy, and; Kinematic Indeterminacy.
  • Virtual Work: Used to analyse frames and trusses for moments and deflections.
  • Qualitative Analysis: Estimating bending moments etc. without doing any calculations.
  • Macaulay’s Method for Indeterminate Structures: The deflections of indeterminate flexural structures.
  • Plastic Analysis: The calculation of the actual collapse load of structural frames, given the capacity of the members.
  • Compatibility and Superposition: some of the very basics upon which the analysis of indeterminate structures is based.

Software

  • LinPro 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.
  • Macaulay’s Method for a beam with a hinge – the MS Excel file from the example in the notes.
  • Virtual Work for continuous beams – the MS Excel file from the example in the notes.
  • Total Potential Energy of a simple spring system – graphs from the Virtual Work notes.


Comments

Comment from Walid
Time: 29 May, 2009, 23:06

Greetinggs!

You have excellent course notes.

On the subject of yield analysis, there are many examples here and elsewhere regarding rectangular slabs with different boundary conditions, i.e., end fixity. When it comes to analyzing a triangular concrete slab, how can one set up the external work equal to the internal work? How to compute the maximym out of plane deflection of the top of the barrier. Do you have an example problem? If so, please post.

Your assistance is gretly apprecited!!!

Note: I was referring to a concrete bridge barrier subject to a transverse impact load. Based on the yield analysis suggested by Hirsch, th failure will be in the form of a triangular slab. The area of failure will have moments along the yiled lines, thus plastic hinges develop. The side of the wedge may be considered as fixed while the top of the barrier (outer side) is not fixed.

Comment from Ryan
Time: 19 June, 2009, 17:24

This is a great site. Thanks for all your posts. I like this site so much. =)

Comment from Barbra
Time: 21 July, 2009, 02:24

Hi

I was just researching for my assignment on Structural dynamics and your lecture notes are most appropriate. I am so impressed with your order and quality of information and detail in your notes. Your efforts are not in vain, I personally appreciate you sharing your knowledge so freely. Ryan is right, this site is Great! I am going to be visiting it quite frequently. Thanks and God bless!

Comment from Marco
Time: 14 October, 2009, 21:52

Your notes are unbelievably helpful!
Thank you so much, I might just pass structures after all!

Comment from Suganya Paskaran
Time: 3 January, 2010, 11:53

Hello Dr. Caprani,
I am a level 3 Civil Engineering student in sri lanka.
Your lecture notes are very useful to my course.
thanks a lot for the great service.
thanks for the the free access.

Comment from sham
Time: 12 February, 2010, 09:05

Hi..Dr.Caprani,
I m studying civil engineering in malaysia and your notes really helped me on my test.
many thanks indeed.

Comment from Hugh
Time: 23 February, 2010, 12:19

Hello Dr. Caprani,

I have already completed my Msc and find the notes extreamly helpfull!! Thanks for posting them. A good read!

Comment from Jim
Time: 20 April, 2010, 18:34

Wow Dr.Caprani, these notes are all great, I have got my 3rd year Analysis exam soon, I’m glad I found them. Please come back to UCD!

Comment from Nkanyezi Mazibuko
Time: 5 May, 2010, 12:33

Hi

I would like to inquire about the stiffness matrix method.How does one deal with combined structures with regards to stiffnesses of different elements and inputting them into the global stiffness matrix. e.g a beam with spring supports

Comment from Admin
Time: 5 May, 2010, 20:18

Nkanyezi,
Refer to my 4th year notes here. For a beam with spring supports the spring stiffness is added to the main diagonal corresponding DOF. See how this is implemented in the program Continuous Beam Analysis here. The references in my notes should also be of assistance.

Colin

Comment from Mike
Time: 25 June, 2010, 14:55

Hi,

Do you have any notes on taperd reinforced concrete columns? If not, do you know where i could find these?

Comment from Dratre Anthony
Time: 31 August, 2010, 14:51

I have found your notes helpful for my studies, kindly forward for me your notes on structural anlysis III and IV

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