Templates for Homework 1

8/22/2019 Templates for Homework 1

1/72

Computational Civil Engineering 2007, International SymposiumIai, Romnia, May 25, 2007

Title of the paper to be submitted. Please do not write more than

three lines

Firstname Familyname1, Second Author2 and Third Author31Department, University, City, Zip code, Country2Department, University, City, Zip code, Country3Department, University, City, Zip code, Country

Summary

This is an example of how to write in Microsoft Word for Windows a paper forthe Computational Civil Engineering 2007, International Symposium held in

Iai, Romnia, on May 25th, 2007.

The abstract and/or the confirmation of participation must be send to either themain organizer Associate Professor Fideliu Pule-Criniceanu, Ph.D., email:

[email protected] or, better, to the contact person, doctoral student AlinaMihaela Nicu, MEc., email: [email protected].

Deadline for abstract and confirmation is April 1st, 2007 and for the paper to thesame addresses until May 1st, 2007. The number of pages is advisable to be

between 6 and 16.

Please use the Task Baror the button in Microsoft

Wordfor highlighting andsetting the styles for papers text.

This first part of the paper must be reserved for a summary (abstract) as this one.

The title Summary is written with Times New Roman font, 12 points, line space

single, 18 points before and 6 points after, alignment left (.04 Summary titlestyle).

Use the .05 Summary text style for the summary text. Summary text style consistsin Times New Roman font, italic, 11 points, line space single, 6 points before,alignment justified.

Do not use tabs or spaces at the beginning of paragraphs anywhere in this paper.

In the case a longer abstract is needed, you may go to the next page. However, if

possible, use this entire page for the Summary andKeywords.Let one empty .07Text style line between the Summary and the Keywords.

KEYWORDS: please write the keywords; if possible do not go over the first page,use the .07 Text style.


2/72

2 F. Lastname, S. Author, T. Author

CCE2007.doc template file

1. INTRODUCTION

In order to communicate with the authors, the editors are asking the authors to

write a separate file or in the emails their complete titles, positions, mail andelectronic addresses. Generally, the data is the next:

Firstname FAMILYNAMETitle(s)Position(s)

Personal email(s),Personal web page(s)

DepartmentDepartments web page(s)

Institution

Institutions web page(s)Street address

City, CountyPostal Code

Country

English is the main language for the Computational Civil Engineering 2007,International Symposium. In order to be easily readable please consider using short

sentences and paragraphs. Scientific and technical English manuals might be veryuseful for inexperienced authors. The speller and grammar corrector of Wordare

also important tools.

Avoid using expressions as: I did, we did, our work, my work etc. Insteaduse impersonal expressions as: it was done, authors work, authors worketc.

At the same time, avoid addressing directly to the reader (i.e. you) and the use of

imperative sentences. As a paradox, this example is directly addressing to thereader and it is using imperative sentences.

Avoid using expressions as lets do, lets see, lets state etc or their

equivalents.

Shortenings as dont, cant, wont etc shell notbe used. Use instead donot, cannot, will not etc.

As a rule, never let more than one space between words.

Please treat carefully the use of special characters as comma, full stop (point,

period, dot), colon, semi-colon, i.e.: , . : ;. They require no space before and aspace after. Therefore the next are bad examples:

red , green , blue

done . Thehyposesis ; new


3/72

Computational Civil Engineering 2007, International Symposium 3

follows : up , down and left

Special attention must be given to the use of special characters that are coupled as:

parenthesis, quotation marks, brackets, apostrophes etc. The left part must have a

space before and no space after and the right part must have no space before and aspace after. Bad examples:

To be or not to beDo Not Enter It was written Special Studies on that door.( it was understood)

(and not as shown ) Last but not least Please

Never let Figures, Tables, Equations and References un-referred. Also be carefulthat referred Figures, Tables, Equations and References really exist in your text.

Paper format is Academic (170mm x 240mm), with 20 mm left, 20 mm right, 25mm up and 20 mm bottom margins. The .01 Paper title style uses Times NewRoman font, 14 points, line space single, alignment centered.

Authors names are written with Times New Roman font, 12 points, line spacesingle, alignment centered, 12 points before and 6 points after, i.e. .02 Author(s)style.

Affiliations are written using Times New Roman font, 9 points, line space single,italic, alignment centered (.03 Affiliation style), one on a line only. Shorten ifnecessary.

However, additional or other kind of data might be used, depending on country

and/or institution etc.

If there is only one author or only one affiliation, do not use the superscript(exponent) for showing the affiliation.

Table 1. Name of the table

Col 1 Col 2 Col ..

Name for Line 1 (if needed)

Name for Line 1 (if needed)

.

Total (if needed)

Chapters titles are using the .06 Chapter style, Times New Roman font, 13points, line space single, alignment left, 30 points before and 12 points after, allcaps. A left tab is placed at 5 mm and the hanging is also at 5 mm. The numbering

should be made manually because in Word numbering is difficult to manipulate.


4/72



After the number of paragraph is introduced, press a tab. For more than 9 chaptersa space must be introduced after the number of the chapter.

Inside chapters use .07 Text style, Times New Roman font, 11 points, line space

single, alignment justified, 6 points before. Chapters, subchapters and sub-subchapters should be manually numbered because automatic numbering and

renumbering in Wordis cumbersome.

2. SECOND CHAPTER

2.1. Subchapter title

Subchapter title uses .08a Subchapter style, Times New Roman font, 12 points,line space single, alignment left, 18 points before and 6 points after. A left tab is

placed at 8 mm and the hanging is also at 8 mm.

2.2.1. Sub-subchapter

In the case sub-subchapters are needed use .08b Sub-subchapter style, TimesNew Roman font, 11 points, line space single, alignment left, italic, 12 pointsbefore and 6 points after. A left tab is placed at 11 mm and the hanging is also at 11

mm.

2.2. Tables

Tables should be numbered and centered, written with .09 Table text style,Times New Roman font, 10 points, without vertical lines. Use Table 1 as anexample, where Table Simple 1 in Word was employed.

Also, use the .10 Table name style (Times New Roman font, 10 points, centered,12 points before) for the name of the table.

Please let a .18 Half line style line (Times New Roman font, 6 points) free after aTable. Refer to Table 1 into your comment about the table.

2.3. Equations

Equations are centered and numbered at the right (.11 Equation style). The nextline is an example.

gumkuucum (12)

The Equation line has a centered tab at 65 mm and a right tab at 130 mm. Please

set theFull size at 11 points in the Equation Editor ofWord. Let the other settings


5/72


unchanged (i.e. Subscript 7 points, Sub-subscript/superscript 5 points, Symbol18, Sub-symbol - 12). In some cases you might use other styles if you think thereis no way to correctly write your text.

Please refer as Equation (12) in your commentary about the above sampleequation.

2.4. Figures

Insert figures centered, using the .12b Figures image style (Times New Romanfont, 11 points, centered, 12 points before). Number and explain it after, using the

.12a Figure's name style (Times New Roman font, 10 points, centered, 6 pointsbefore, 12 points after).

Figure 1. Figures comment

Insert and center your Figure. The above example shows a Figure and itsexplanation (name or comment).

The use of colors in Figures is encouraged. However, in the case that some wouldlike to have a printed copy of your paper, please imagine some colors or signs thatcan make readable the paper even for grey nuances printing.

2.5. Headers and footers

First page is using a different header than the rest of the text. The style dedicated toit, is named .14 First page header.

This style is wich is 9.5 points Arial font, centered, colordark teal.

1019

1020

1021

1022

0.2

0.4

0.6

0.8

1

1.2.

El CentroMexico CityGebze


6/72



Even headers are dedicated to the author(s) name(s). Only the initial(s) for the firstname and the full family name(s) are written. If there is more than one author, then

the names should be separated by commas. The word and will not be used. The

style for even headers is .14 Even header, i.e. Times New Roman font, 9 points,with a right tab at 130 mm. Place the page number left aligned and the name(s)right aligned.

Odd headers are using .15 Odd header style, Times New Roman font, 9 points,with a right tab at 130 mm. This is the place for writing the Symposiums name.Place the page number right aligned and the Symposiums name right aligned.

In fact .14 Even header and .15 Odd header styles are identical.

Footers are not used.

2.6. References

For the references title, use the .13a References title style (Times New Romanfont, 12 points, line space single, 18 points before and 6 points after, leftalignment).

Use the 13b References style for the references (Times New Roman font, 9points, line space single, justified) and numbering. In this example a book onStructural Dynamics, [1], is the first reference.

2.7. Lists

This is a small example of using the style .19a Dot list, Times New Roman font,11 points, justified, 5 mm left indented marker, text tab after 8 mm, text indent 8

mm: figures; tables; equations; headers and footers;

references; lists.

Another idea of list is similar but it is using a dash line, .19b Dash list stylewhere the used symbol is a dash:

- figures,- tables,- equations,- headers and footers,- references,

- lists.


7/72


The same but using small rectangles, the .19c Rectangle list style: figures tables

equations headers and footers references lists.

For a numbered list use .19d Numbered list style. Because automatic numberingand renumbering in Wordis cumbersome this kind of list might be used only once.

For more than one numbered list use the simple list and number it manually.Example of numbered list:

1.figures.

2.tables.3.equations.4.headers and footers.5.references.6.lists.

A simple list is defined using the style .19e Simple list. This can be manuallynumbered (or other kind of order method). Example:

figures tablesr) equations

2. headers and footersix - references

45 lists.

Depending on the author feeling about what is suitable for the text, the finalcharacter at the end of each line of a list can be semi-colon, comma, dot (full

point), or can be missing except for the final line were it must be a dot (full point).

3. CONCLUSIONS

This is an example for writing a paper for the Computational Civil Engineering2007, International Symposium in Microsoft Word for Windows. The use of

Task Bar or the button in Wordfor revealing the styles is very important.

Scientific, technical and academic writing is required. English is the main language

of the Journal. However, other international languages are accepted, too.


8/72



Acknowledgements

In the case there is a need for additional titles as Acknowledgements orAppendix, Appendices, Annex, Annexes, the style for titles must be the

same as for references title, .13a References title. Inside this type of section, .07Text style is used. The acknowledgments should be placed before the references.

References

1. Clough, R.W., Penzien, J.,Dynamics of structures, McGraw-Hill, New York, 1993.2. Achkire, Y., Preumont, A., Active tendon control of cable-stayed bridges, Earthquake

Engineering and Structural Dynamics, vol. 25, 1996.3. Popescu, I., Tanase, R., Asupra modelrii statistice a fenomenului de defectare n cazul podurilor,

Buletinul IPI, Tomul XLVII, Fasc. 5, 2001. (in Romanian)

4. Magaa, M.E. and Rodellar, J., Nonlinear decentralized active tendon of cable-stayed bridges,Journal of Structural Control, vol. 5, 1998.5. Punescu, F., Badea-Dinc, N., Stcu., E. Informatizarea societii: un fenomen inevitabil?, Ed.

iinific i Enciclopedic, Bucureti, 1985. (in Romanian)

Appendix

Information that must help in understanding the main parts of the paper should beplaced after the references. Use the .13a References title style for title and .07Text style for text. Appendices might be numbered as Appendix 3, for example.


9/72

6

m1

EI

EI

2EI

l

h/2

h/2

5

m1

EI

EI

2EI

l

h/2

h/2

4

m1

EIh

EI

2EI

l

3

m1

EIh

EI

2EI

l

2

m1

EIh

2EI

l

1

m1

EIh

Structures with 1 d.o.f.


10/72

12

m1

EIEI

2EI

l

h/2

h/2

11

m1

EI

EI

2EI

l

h/2

h/2

10

m1

EI

EI

2EI

l

h/2

h/2

9

m1

EIh

EI

2EI

l

8

m1

EIh

EI

2EI

l

7

m1

EI

EI

2EI

l

h/2

h/2


11/72

15

m1

EIh

EI

2EI

ll

EI

2EI

14

m1

EIh

EI

2EI

EI

2EI

ll

13

m1

EIh

EI

2EI

ll

2EI

EI


12/72

21

m1

EI

EI

2EI

l

h/2

h/2

20

m1

EI

EI

2EI

l

h/2

h/2

19

m1

EI

EI

2EI

l

h/2

h/2

18

m1

EIh

EI

2EI

l

17

m1

EIh

EI

2EI

l

16

m1

EIh

EI

2EI

l


13/72

24

m1

EIh

EI

2EI

ll

EI

2EI

23

m1

EIh

EI

2EI

ll

EI

2EI

22

m1

EIh

EI

2EI

ll

EI

2EI


14/72

27

m1

EIh

2EI

ll

EI

2EI

26

m1

EIh

EI

2EI

ll

EI

2EI

25

m1

EIh

EI

2EI

ll

EI

2EI


15/72

3

m2

2EI 2EI

3EIEI

l l l

/

/

m1

EI

2

m2

2EI EI

3EI

2EI

l 2l 2l

/

/

m1

1 m1

m2

EI EI

2EI EI

l l l

/

/

/

Structures with 2 d.o.f.


16/72

6

2EI 2EI

2EI

l l/2

m2

3EI

ll/2

m1

EI

5

m2

2EI EI

2EI

l l l

EI

m1

3EI

4 m1

m2

EI

EI2EI

EI

l l l

h

/

2EI

2EI


17/72

9

2EI

2EI

l l

m2

2EI

l

m1

2EI

EI

8

2EI

2EI

l l

m2

EI

l

m1

2EI

EI

7

2EI

2EI

l l

m23EI

l

m1

2EI

EI


18/72

12

2EI

2EI

l l

m2

l

m1

3EI

EI

11

2EI

2EI

l l

m2

l

m1

EI

3EI

2EI

10

2EI

3EI

l l

m2

2EI

l

m1

2EI

EI


19/72

15

2EI

l ll

3EI

2EI2EI

m2

m1

EI

14

3EI

l ll

2EI

2EIEI

m2

m1

EI

13

2EI

l ll

3EI

2EI EI

m2

m1


20/72

18

3EI

l ll

2EI

2EI

m2EI

2EI

m1

17

3EI

l ll

2EI

2EI

m2EI

2EI

m1

16

EI

l ll

3EI

2EI

m2EI

2EI

m1


21/72

21

2EI

l ll

EI 2EI

m2

2EI

m1

3EI

20

2EI

l ll

EI

2EI

m2

2EI

m1

EI

19

3EI

l ll

EI

2EI

m2

2EI

m1


22/72

24

2EI

l ll/2

EI

m2

2EI

m1

3EI3EI

l/2

23

2EI

l ll

EI

m2

2EI

m1

3EI 3EI

22

2EI

l ll

EI

m2

2EI

m1

3EI EI


23/72

27

l l

2EI

m2

m1

2EI

EI2EI

l

EI

3EI

26

2EI

l l

2EI

m2

m1

2EI

EI

l/2l/2l/2

3EI

2EI

25

2EI

l l

EI

m22EI

m1

3EI

2EI

l


24/72

30

l l

m2

m1

EI

3EI

2EI

l

2EI

EI

EI

29

l l

m2

m1

EI

3EI

2EI

l

2EI

EI

28

l l

m2

m1

2EI

3EI

2EI

l

EI

2EI EI


25/72

33

l l

m2

m1

2EI

3EI

l

2EI

EI

2EI

32

l l

m2

m1

2EI

3EI

l

2EI

EI

31

l l

m2

m1

2EI

3EI

l

EI

EI


26/72

l/2

36

l

m1

m2

2EI

2EI

l

3EI

EI 2EI

l/2

35

l l

m1

m2

2EI

3EI

l

3EI

EI

2EI

34

l l

m1 m2

2EI

3EI

l

2EI

EI

EI

EI


27/72

39

l

m1

2EI

l

EI

2EI

l

m2

3EI

38

l

m1

2EI

2EI

l

2EI

EI

l

m2

3EI

37

l

m1

m2

2EI

2EI

l

3EI

2EI

l

EI


28/72

42 m1

2EIEI

2EIm2

3EI 3h/2

lll

41

l

m1

2EIEI

2EI

l/2

m2

3EI

2EI

3l/2

40

l

m1

2EI

l

2EI

2EI

l

m2

3EI

EI

3h/2


29/72

45 m1

2EI2EI

EIm2

3EI

l3l/2 ll

EI

/

44

/

m1

2EI2EI

EI

m2

3EI

h

l3l/2

h/2

ll

EI

43 m1

2EI2EI

EIm2

3EI3h/2

lll


30/72

48 m1

2EI2EI

2EIm2

3EI

ll

EI

3l/2

/

h

2h

/

47

2h

m1

2EI2EI

2EI

m2

3EI

ll l/2

EI

l/2

46

2h

m1

2EI2EI

EI

m2

3EI

l2l 3l/2

EI


31/72

51

m2

3EI

m1

3EI

ll

EI

l

2EI EI

50

m2

2EI

2EI

m1

3EI

ll

EI

l

2EI

49 m1

2EI2EI

m2

3EI

2ll

EI

l


32/72

54

m2

2EI

m1

ll

EI

l

2EI

3EI

2EI

l

53

m2

2EI

m1

3EI

ll

EI

l

2EI

3EI

52

m2

2EI

m1

3EI

ll

2EI

l

EI

EI


33/72

57

m2

3EI

m1

ll

EI

l

h

2EI

2EI 2EI

2EI

56

m2

2EI

m1

l3l/2

EI

l

2EI

3EI

l

EI

EI

55

m2

2EI

m1

l2l

EI

l/2

2EI

3EI

l

EI


34/72

60

m2

3EI

m1

ll l

h

2EI

2EI

2EI

EI

2EI

59

m2

3EI

m1

ll l

h

2EI

2EI

2EI

EI

58

m2

3EI

m1

ll

EI

l

h

2EI

2EI

2EI

2EI

h/2


35/72

2

h

h

ll

m1

m2

2EI

EI EI

2EI2EI

2EI 2EI3EI

1

h

h

ll

m1

m2

2EI2EI

EI EIEI

2EI2EI

EI EI2EI

Complex structures with 2 d.o.f.


36/72

4

h

h

ll

m1

m2

2EI

EI EI

2EI2EI

2EI EI2EI

3

h

h

ll

m1

m2

2EI

EI EI

2EI2EI

2EI 2EI3EI


37/72

6

h

h

ll

m1

m2

2EI

EI

2EI

2EI

3EI

2EI

2EI

EI

5

h

h

ll

m1

m2

2EI

EIEI

2EI2EI

EI 2EI3EI


38/72

8

h

h

ll

m1

m2

4EI

EI

2EI

2EI 2EI2EI

EI

2EI

7

h

h

ll

m1

m2

2EI

EI

2EI

2EI

3EI

2EI

2EI

EI


39/72

10

h

h

ll

m1

m2

2EI

EI

4EI

3EI 2EI

EI

9

h

h

ll

m1

m2

2EI

2EI

2EI

2EI 3EI2EI

2EI

2EI


40/72

12

h

h

ll

m1

m2

EI

2EI

2EI

2EI

2EI

EI

2EI

11

h

h

ll

m1

m2

2EI

EI

2EI

EI 2EI

EI

2EI

2EI


41/72

14

h

h

ll

m1

m2

2EI

EIEI

3EI 2EI2EI

2EI

2EI

13

h

h

ll

m1

m2

2EI

EI

2EI

2EI

3EI

2EI

2EI

EI


42/72

16

ll

EI

EI

2EI

2EI

EI

2EI

m1

m2

2EI

h

hEI

15

ll

EI

2EI

2EI

2EI

EI

2EI

m1

m2

2EI

h

h


43/72

18

ll

EI

EI

2EI

2EI

EI

2EI

m1

m2

2EI

h

hEI

17

ll

EI

EI

2EI

2EI

EI

2EI

m1

m2

2EI

h

hEI

2EI


44/72

20

EI

2EI

2EI

m1

m2

2EI

h

h

ll

2EI

EI

19

ll/2

EI

2EI

2EI

EI

2EI

m1

m2

2EI

h

h

l/2


45/72

m2

22

3EI

EI

m1

2EI

h

h

ll

3EI

EI

2EI

EI

m2

21

2EI

2EI

m1

2EI

h

h

ll

2EI

EI

2EI

2EI

EI


46/72

m2

24

EI

m1

2EI

h

hEIEI

lll

2EI

2EI

2EI

EI

2EI

m2

23

EI

m1

2EI

h

hEI

2EI

EI

lll

2EI 2EI

2EI 2EI


47/72

m2

26m1

ll

2EI

EI

2EI

EI

EIEI h/2

h

h/2

EI

2EI2EI

EI

m2

25

m1

ll

2EI

2EI

EI

2EI

EI

EIEI

h/2

h

h/2


48/72

m2

28

m1

2EI

h

hEIEI

lll

2EI

2EI

2EI

2EI

m2

27

m1

EI

lll

2EI

3EI

EI

2EI

h

h

EI


49/72

m2

30m1

h/2

hEI

lll

2EI

3EI

2EI

2EI 2EI

2EI

EI

EI

h/2

m2

29

m1

l/2l

2EI

2EI

EI

h/2

h

h/2

3EI

2EI

l/2

2EI EI


50/72

3D Structures


51/72

3m2

1

3m1

h

h

l

2EI

3EI

2EI

2EI

2m2

2m1

3m2

3m1

2m2

2m1

2EI

2EI 3EI 2EI

EI 2EI 2EI EI

l l

Frames 2 and 3

A B C D

2EI 2EI

2m2

1

2m1

h

h

l

2EI

2EI

2EI

2EI

m2

m1

2m2

2m1

m2

m1

2EI

2EI 2EI 2EI

EI EI EI EI

l l

Frames 1 and 4

A B C D

2EI 2EI


52/72

3m2

1

3m1

h

h

2l

3EI

3EI

3EI

3EI

2m2

2m1

3m2

3m1

2m2

2m1

3EI

2EI 3EI 2EI

EI 2EI 2EI EI

2l 2l

Frames B and C

1 2 3 4

3EI 3EI

2m2

1

2m1

h

h

2l

3EI

2EI

3EI

3EI

m2

m1

2m2

2m1

m2

m1

3EI

2EI 2EI 2EI

EI 2EI 2EI EI

2l 2l

Frames A and D

1 2 3 4

3EI 3EI


53/72


54/72

3m2

2

3m1

h

h

l

2EI

3EI

2EI

2EI

2m2

2m1

2m2

2m1

m2

m1

2EI

2EI 3EI 2EI

EI 2EI 2EI EI

l l

Frames 2 and 3

A B C D

2EI 2EI

2m2

2

2m1

h

h

l

2EI

2EI

2EI

2EI

m2

m1

2m2

2m1

m2

m1

2EI

2EI 2EI 2EI

EI EI EI EI

l l

Frames 1 and 4

A B C D

2EI 2EI


55/72

2m2

2

2m1

h

h

2l

3EI

2EI

3EI

3EI

m2

m1

2m2

2m1

m2

m1

3EI

2EI 2EI 2EI

EI EI EI EI

2l 2l

Frame D

1 2 3 4

3EI 3EI

m2

2

m1

h

h

2l

3EI

2EI

3EI

3EI

m2

m1

m2

m1

m2

m1

3EI

2EI 2EI 2EI

EI EI EI EI

2l 2l

Frame A

1 2 3 4

3EI 3EI


56/72

3m2

2

3m1

h

h

2l

3EI

3EI

3EI

3EI

2m2

2m1

3m2

3m1

2m2

2m1

3EI

2EI 3EI 2EI

EI 2EI 2EI EI

2l 2l

Frame C

1 2 3 4

3EI 3EI

2m2

2

2m1

h

h

2l

3EI

3EI

3EI

3EI

2m2

2m1

2m2

2m1

2m2

2m1

3EI

2EI 3EI 2EI

EI 2EI 2EI EI

2l 2l

Frame B

1 2 3 4

3EI 3EI


57/72


58/72

2m2

3

2m1

h

h

l

2EI

2EI

2EI

2EI

m2

m1

m2

m1

m2/2

m1/2

2EI

2EI 2EI 2EI

EI EI EI EI

l l

Frame 4

A B C D

2EI 2EI

2m2

3

2m1

h

h

l

2EI

2EI

2EI

2EI

m2

m1

2m2

2m1

m2

m1

2EI

2EI 2EI 2EI

EI EI EI EI

l l

Frame 1

A B C D

2EI 2EI


59/72

3m2

3

3m1

h

h

l

2EI

3EI

2EI

2EI

2m2

2m1

2m2

2m1

m2

m1

2EI

2EI 3EI 2EI

EI 2EI 2EI EI

l l

Frame 3

A B C D

2EI 2EI

3m2

3

3m1

h

h

l

2EI

3EI

2EI

2EI

2m2

2m1

3m2

3m1

2m2

2m1

2EI

2EI 3EI 2EI

EI 2EI 2EI EI

l l

Frame 2

A B C D

2EI 2EI


60/72

2m2

3

2m1

h

h

2l

3EI

2EI

3EI

3EI

m2

m1

m2

m1

m2/2

m1/2

3EI

2EI 2EI 2EI

EI EI EI EI

2l 2l

Frame D

1 2 3 4

3EI 3EI

2m2

3

2m1

h

h

2l

3EI

2EI

3EI

3EI

m2

m1

2m2

2m1

m2

m1

3EI

2EI 2EI 2EI

EI EI EI EI

2l 2l

Frame A

1 2 3 4

3EI 3EI


61/72

3m2

3

3m1

h

h

2l

3EI

3EI

3EI

3EI

2m2

2m1

m2

m1

m2

m1

3EI

2EI 3EI 2EI

EI 2EI 2EI EI

2l 2l

Frame C

1 2 3 4

3EI 3EI

3m2

3

3m1

h

h

2l

3EI

3EI

3EI

3EI

2m2

2m1

3m2

3m1

2m2

2m1

3EI

2EI 3EI 2EI

EI 2EI 2EI EI

2l 2l

Frame B

1 2 3 4

3EI 3EI


62/72


63/72

2m2

4

2m1

h

h

l

2EI

3EI

2EI

2EI

2m2

2m1

2m2

2m1

2m2

2m1

2EI

2EI 3EI 2EI

EI 2EI 2EI EI

l l

Frames 2 and 3

A B C D

2EI 2EI

2m2

4

2m1

h

h

l

2EI

2EI

2EI

2EI

m2

m1

2m2

2m1

m2

m1

2EI

2EI 2EI 2EI

EI EI EI EI

l l

Frames 1 and 4

A B C D

2EI 2EI


64/72

2m2

4

2m1

h

h

2l

3EI

3EI

3EI

3EI

2m2

2m1

2m2

2m1

2m2

2m1

3EI

2EI 3EI 2EI

EI 2EI 2EI EI

2l 2l

Frames B and C

1 2 3 4

3EI 3EI

2m2

4

2m1

h

h

2l

3EI

2EI

3EI

3EI

m2

m1

2m2

2m1

m2

m1

3EI

2EI 2EI 2EI

EI EI EI EI

2l 2l

Frames A and D

1 2 3 4

3EI 3EI


65/72

// calculate the stiffness matrix for a regular plan frame// author F. Paulet-Crainiceanu// version 1.0 / December 2006

clearmode(0)

disp('')disp('')disp(' *******************************************')disp(' *** CALCULATION OF THE STIFFNESS MATRIX ***')disp(' *******************************************')disp('')disp('')

n=0;while n


66/72

disp('')disp(' ** SPAN LENGTHS:')disp('')for j=1:ml(j)=0;

while l(j)


67/72

// stiffness from floor displacements// first floorr(1,1)=0;if n==1 then // first floor = last floor, one floor structurefor j=1:m+1// translation dof

r(1,1)=r(1,1)+12*c(1,j)/h(1)^3;p=n+j;// rotational dofr(p,1)=-6*c(1,j)/h(1)^2;endelse // first floor, more than one floor structurer(2,1)=0;for j=1:m+1// translation dofr(1,1)=r(1,1)+12*(c(1,j)/h(1)^3+c(2,j)/h(2)^3);r(2,1)=r(2,1)-12*c(2,j)/h(2)^3;p=n+j;// rotational dof

r(p,1)=6*(c(2,j)/h(2)^2-c(1,j)/h(1)^2);r(p+m+1,1)=6*c(2,j)/h(2)^2;endend

// stiffness from floor displacements// last floorif n~=1 then // last floor, more than one floor structurer(n,n)=0;r(n-1,n)=0;for j=1:m+1// translation dofr(n,n)=r(n,n)+12*c(n,j)/h(n)^3;r(n-1,n)=r(n-1,n)-12*c(n,j)/h(n)^3;// rotational dofp=n+(n-1)*(m+1)+j;r(p,n)=-6*c(n,j)/h(n)^2;r(p-m-1,n)=-6*c(n,j)/h(n)^2;endend

// stiffness from floor displacements// current floorsfor i=2:n-1r(i,i)=0;

r(i-1,i)=0;r(i+1,i)=0;for j=1:m+1// translation dofr(i,i)=r(i,i)+12*(c(i,j)/h(i)^3+c(i+1,j)/h(i+1)^3);r(i-1,i)=r(i-1,i)-12*c(i,j)/h(i)^3;r(i+1,i)=r(i+1,i)-12*c(i+1,j)/h(i+1)^3;p=n+(i-1)*(m+1)+j;

// rotational dofr(p,i)=6*(c(i+1,j)/h(i+1)^2-c(i,j)/h(i)^2);r(p+m+1,i)=6*c(i+1,j)/h(i+1)^2;r(p-m-1,i)=-6*c(i,j)/h(i)^2;

end

end


68/72

// stiffness from node rotation// first floorif n==1 then // first floor = last floor, one floor structure// left node, j=1// translation dof

r(1,2)=-6*c(1,1)/h(1)^2;// rotational dofr(2,2)=4*(c(1,1)/h(1)+b(1,1)/l(1));r(3,2)=2*b(1,1)/l(1);// right node, j=m+1// translation dofp=m+2;r(1,p)=-6*c(1,m+1)/h(1)^2;// rotational dofr(p,p)=4*(c(1,m+1)/h(1)+b(1,m)/l(m));r(p-1,p)=2*b(1,m)/l(m);// current nodefor j=2:m

// translation dofp=n+j;r(1,p)=-6*c(1,j)/h(1)^2;// rotational dofr(p,p)=4*(c(1,j)/h(1)+b(1,j-1)/l(j-1)+b(1,j)/l(j));r(p-1,p)=2*b(1,j-1)/l(j-1);r(p+1,p)=2*b(1,j)/l(j);endelse // first floor, more than one floor structure// left node, j=1// translation dofp=n+1;r(1,p)=6*(-c(1,1)/h(1)^2+c(2,1)/h(2)^2);r(2,p)=-6*c(2,1)/h(2)^2;// rotational dofr(p,p)=4*(c(1,1)/h(1)+c(2,1)/h(2)+b(1,1)/l(1));r(p+1,p)=2*b(1,1)/l(1);r(p+m+1,p)=2*c(2,1)/h(2);// right node, j=m+1// translation dofp=n+m+1;r(1,p)=6*(-c(1,m+1)/h(1)^2+c(2,m+1)/h(2)^2);r(2,p)=-6*c(2,m+1)/h(2)^2;// rotational dofr(p,p)=4*(c(1,m+1)/h(1)+c(2,m+1)/h(2)+b(1,m)/l(m));

r(p-1,p)=2*b(1,m)/l(m);r(p+m+1,p)=2*c(2,m+1)/h(2);// current nodefor j=2:m// translation dofp=n+j;r(1,p)=6*(-c(1,j)/h(1)^2+c(2,j)/h(2)^2);r(2,p)=-6*c(2,j)/h(2)^2;// rotational dofr(p,p)=4*(c(1,j)/h(1)+c(2,j)/h(2)+b(1,j-1)/l(j-

1)+b(1,j)/l(j));r(p-1,p)=2*b(1,j-1)/l(j-1);r(p+1,p)=2*b(1,j)/l(j);

r(p+m+1,p)=2*c(2,j)/h(2);end


69/72

end

// stiffness from node rotation// last floorif n~=1 then // last floor, more than one floor structure// left node, j=1

p=n+(n-1)*(m+1)+1;// translation dofr(n,p)= -6*c(n,1)/h(n)^2;r(n-1,p)= 6*c(n,1)/h(n)^2;// rotational dofr(p,p)=4*(c(n,1)/h(n)+b(n,1)/l(1));r(p+1,p)=2*b(n,1)/l(1);r(p-m-1,p)=2*c(n,1)/h(n);// right node, j=m+1// translation dofp=n*(m+2);r(n,p)= -6*c(n,m+1)/h(n)^2;r(n-1,p)= 6*c(n,m+1)/h(n)^2;

// rotational dofr(p,p)=4*(c(n,m+1)/h(n)+b(n,m)/l(m));r(p-1,p)=2*b(n,m)/l(m);r(p-m-1,p)=2*c(n,m+1)/h(n);// right node, j=m+1for j=2:mp=n+(n-1)*(m+1)+j;// translation dof

r(n,p)= -6*c(n,j)/h(n)^2;r(n-1,p)= 6*c(n,j)/h(n)^2;// rotational dof

r(p,p)=4*(c(n,j)/h(n)+b(n,j-1)/l(j-1)+b(n,j)/l(j));r(p-1,p)=2*b(n,j-1)/l(j-1);r(p+1,p)=2*b(n,j)/l(j);r(p-m-1,p)=2*c(n,j)/h(n);endend

// stiffness from node rotation// current floorfor i=2:n-1// left node, j=1p=n+(i-1)*(m+1)+1;// lateral dofr(i,p)=6*(-c(i,1)/h(i)^2+c(i+1,1)/h(i+1)^2);

r(i+1,p)=-6*c(i+1,1)/h(i+1)^2;r(i-1,p)=6*c(i,1)/h(i)^2;// rotational dofr(p,p)=4*(c(i,1)/h(i)+c(i+1,1)/h(i+1)+b(i,1)/l(1));r(p+1,p)=2*b(i,1)/l(1);r(p-m-1,p)=2*c(i,1)/h(i);r(p+m+1,p)=2*c(i+1,1)/h(i+1);// right node, j=m+1p=n+i*(m+1);// lateral dofr(i,p)=6*(-c(i,m+1)/h(i)^2+c(i+1,m+1)/h(i+1)^2);r(i+1,p)=-6*c(i+1,m+1)/h(i+1)^2;r(i-1,p)=6*c(i,m+1)/h(i)^2;

// rotational dofr(p,p)=4*(c(i,m+1)/h(i)+c(i+1,m+1)/h(i+1)+b(i,m)/l(m));


70/72

r(p-1,p)=2*b(i,m)/l(m);r(p-m-1,p)=2*c(i,m+1)/h(i);r(p+m+1,p)=2*c(i+1,m+1)/h(i+1);//current nodefor j=2:mp=n+(i-1)*(m+1)+j;

// lateral dofr(i,p)=6*(-c(i,j)/h(i)^2+c(i+1,j)/h(i+1)^2);r(i+1,p)=-6*c(i+1,j)/h(i+1)^2;r(i-1,p)= 6*c(i,j)/h(i)^2;// rotational dof

r(p,p)=4*(c(i,j)/h(i)+c(i+1,j)/h(i+1)+b(i,j-1)/l(j-1)+b(i,j)/l(j));

r(p-1,p)=2*b(i,j-1)/l(j-1);r(p+1,p)=2*b(i,j)/l(j);r(p-m-1,p)=2*c(i,j)/h(i);r(p+m+1,p)=2*c(i+1,j)/h(i+1);endend

// verifying the symmetryv=r-r';vm=max(max(abs(v)));disp(['maximum of the difference between simmetrical elementsis ' + string(vm)])

// calculation of the stiffness matrixR11=r(1:n,1:n);R12=r(1:n,(n+1):(n*(m+2)));R21=r((n+1):(n*(m+2)),1:n);R22=r((n+1):(n*(m+2)),(n+1):(n*(m+2)));K=(R11-R12*inv(R22)*R21)*EI


71/72

1. Amariei, C., Dumitra, Al., Jerca, t., Scharf, F., Vulpe, A., Atanasiu, G., Statica, Stabilitatea iDinamica construciilor. II.1. Statica construciilor. Structuri static nedeterminate. Lucrri

(Statics, Stability and Structural Dynamics. II.1. Structural Statics. Statically undetermined

structures. Works), I.P. Iai (in Romanian)2. Atanasiu, G.M.: Structural Dynamics and Stability, Editura "Gh. Asachi" Iai ("Gh. Asachi"

Technical University of Iai Publishing House), 1995

3. Brsan, G.M.: Dinamica i stabilitatea construciilor (Dynamics and Stability of Structures),Editura Didactic i Pedagogic (Pedagogy and Didactics Publishing House), Bucureti, 1979 (inRomanian)

4. Chopra, A. K.: Dynamics of Structures. Theory and Applications to Earthquake Engineering,Prentice Hall International, Inc., London, 1995

5. Ciongradi, I., Schrf, F.: Dinamica construciilor (Structural Dynamics), Rotaprint I.P. Iai

(Polytechnical Institute of Iai Printing), 1977 (in Romanian)6. Clough, W.R., Penzien, J.: Dynamics of Structures, Second Edition, McGraw-Hill, Inc., New

York, 1993

7. Dimoiu, I.,Inginerie seismic (Earthquake Engineering), Editura Academiei Romne, Bucureti,1999 (in Romanian)

8. Fujino, Y, Shoji, G.: The Great Hanshin Earthquake - Seismic, Structural, Economic and SocialAspects, Proceedings of the Fifth Asia Pacific Conference on Structural Engineering and

Construction, 1995

9. Fujino, Y, Shoji, G.: The Great Hanshin Earthquake - Seismic, Structural, Economic and SocialAspects, Proceedings of the Fifth Asia Pacific Conference on Structural Engineering and

Construction, 1995

10.Honshu-Shikoku Bridge Authority:Akashi-Kaikyo Bridge. Engineering Note, 199511.Ifrim, M., Dobrescu, Al.: Aplicaii n analiza dinamic a structurilor i inginerie seismic(Applications in Dynamic Analysis and Earthquake Engineering) Editura Didactic iPedagogic, Bucureti, 1974 (in Romanian)

12.Ionescu,C., Pule-Criniceanu, F., Dinamica structurilor (Structural Dynamics), EdituraSocietii Academice Matei-Teiu Botez, Iai, 2003 (in Romanian)

13.Ivan, M., Botici, A., Dogaru, E., Ivan, A., Balekics, G., Negru, A.: Statica, stabilitatea idinamica construciilor. Teorie i probleme (Statics, Stability, and Dynamics of Structures.

Theory and Applications), Editura Tehnic (Technical Books Publishing House), Bucureti,1997(in Romanian)

14.Meirovitch, L.:Dynamics and Control of Structures, John Wiley & Sons, New York, 199015.Mihescu, C., Oprea, t., Ciorapciu, M.: Dicionar ilustrat de construcii i materiale de

construcii Englez-Romn (Illustrated English-Romanian Dictionary of Constructions andConstruction Materials) coord. D. Dumitrescu, Editura Tehnic, Bucureti, 1981 (in Romanian)

16.Ministerul Transporturilor, Construciilor i Turismului (Ministry of Transportation,Constructions and Tourism). Cod de proiectare P100. Partea I - p100-1/2006 prevederi de

proiectare pentru cldiri, (Design Code P100. Part I p100-1/2006 design provisions forbuildings). (in Romanian)

17.Negoi, Al. (coord.),Aplicaii ale ingineriei seismice (Applications in Earthquake Engineering),Editura Didactic i Pedagogic, Bucureti, 1990 (in Romanian)

18.Negoi, Al., Pop, I., Ionescu, C., Olariu, I., Vulpe, A., Breabn, V., Hobjil, V., Scharf, F.,Negoi, I.: Inginerie Seismic (Earthquake Engineering), Editura Didactic i Pedagogic,Bucureti, 1985 (in Romanian)

19.Nikkei Construction, No. 2-24 (1995) (in Japanese)20.Nikkei Construction, No. 6-9 (1995) (in Japanese)21.Pule-Criniceanu, F., Earthquake Engineering, Editura Cermi, Iai, 1999

Bibliography


72/72

22.Pule-Criniceanu, F.: Active Control Approach For Long Span Bridge Responses To StrongEarthquakes, Doctoral Thesis, Yokohama National University, Japan, 1997

23.Pricu, R., Popovici, A., Stematiu, D., Ilie, L., Stere, C.: Ingineria seismic a construciilorhidrotehnice (The Earthquake Engineering of Hydro-technical Constructions), Editura Didactici Pedagogic, Bucureti, 1980 (in Romanian)

24.tefan, D., Dinamica structurilor i inginerie seismic (Structural Dynamics and EarthquakeEngineering), Editura Tehnic, tiinific i Didactic-CERMI, Iai, 2003 (in Romanian)

25.Strat, L., Aanici, C., Structural Statics, Editura Gh. AsachiIai, 199526.Tada, K., Jin, H., Kitagawa, M., Nitta, A., Toriumi, R.: Effect of the Southern Hyogo Earthquake

on the Akashi-Kaikyo Bridge, Structural Engineering International, 1995

27.The MathWorks Inc.: MATLAB, Reference Guide28.Yamaguchi, H.: Structural Dynamics, Asian Institute of Technology, 199229.Zienkiewicz, O. C., Taylor, R. L.: The Finite Element Method, 4th edition, McGraw-Hill , 1989

Documents

Templates for Homework 1