i RAFT FOUNDATION ANALYSIS USING MATLAB AND CRYSTAL BALL PROGRAM Final Project to complete the requirements to achieve S-1 graduate degree in Civil Engineering Prepared by : Aulia Rahman Al-Alaby NIM : D 100 102 001 To CIVIL ENGINEERING DEPARTMENT ENGINEERING FACULTY UNIVERSITAS MUHAMMADIYAH SURAKARTA 2014
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i
RAFT FOUNDATION ANALYSIS USING MATLAB AND CRYSTAL
BALL PROGRAM
Final Project
to complete the requirements to
achieve S-1 graduate degree in Civil Engineering
Prepared by :
Aulia Rahman Al-Alaby
NIM : D 100 102 001
To
CIVIL ENGINEERING DEPARTMENT
ENGINEERING FACULTY
UNIVERSITAS MUHAMMADIYAH SURAKARTA
2014
iii
PREFACE
Assalamu’alaikum Wr. Wb.
Alhamdulillah, all praise to Allah azza wa jalla who has given blessing and
mercies until this Final Project can be completed. This Final Project to complete most
the requirement to achieve S-1 graduate degree in Civil Engineering Department,
Engineering Faculty, Universitas Muhammadiyah Surakarta. The author also says
thanks for all parties who give any support for arrangement this Final Project until it
can be completed.
The accomplishment this Final Project the author will say thanks to other
parties :
1) Sri Sunarjon,PhD as the Dean of Engineering Faculty of Universitas
Muhammadiyah Surakarta.
2) Mohammad Solikin,PhD as Head of Civil Engineering Department of Universitas
Muhammadiyah Surakarta.
3) Suhendro Trinugroho as author’s academic advisor who has given many
suggestion for author’s academic.
4) Agus Susanto,S.T,M.T. as major advisor who has guided and taught the author.
5) Anto Budi Listyawan,S.T,M.Sc. as secondary advisor major advisor who has
guided and taught the author.
6) Ir. Renaningsih,M.T. as examiner who has given some advices to make this final
project better.
7) All lecturers in Civil Engineering Department of Engineering Faculty of
Universitas Muhammadiyah Surakarta thanks for your guidance and knowledge.
8) Dad, mom and my beloved family who always give me support. Thanks for your
praise and wish a long this time, may Allah give you a reward as well as you give
to me.
iv
vi
“And whenever you give your word, say the truth”
(al-An`aam 6:152)
“The only way to have the greatest work in your life
is love what you do first”
(Anonim)
“You are creator for your own future “
(Anonim)
“Idza shodaqol „azmu wadhohas sabil”
(Mahfudzot)
“Do your own thingking independently
Be the chess player, not the chess piece”
(Anonim)
“Make up one idea. Make that idea on your life
– think of it, dream of it, live on that idea.
Let the brain, muscles, nerves, every part
of your body, be full of that idea,
and just leave every other idea alone.
This is the way to success.
(Swami Vivekananda)
MOTTO
vii
ACKNOWLEDGEMENT
Assalamu’alaikum Wr. Wb.
Alhamdulillah, all praise to Allah azza wa jalla who has given blessing and
mercies until this Final Project can be completed. This Final Project to complete most
the requirement to achieve S-1 graduate degree in Civil Engineering Department,
Engineering Faculty, Universitas Muhammadiyah Surakarta. The author also says
thanks for all parties who give any support for arrangement this Final Project until it
can be completed.
The accomplishment this Final Project the author will say thanks to other
parties :
1) Sri Sunarjono,PhD as the Dean of Engineering Faculty of Universitas
Muhammadiyah Surakarta.
2) Mochammad Solikin,PhD as Head of Civil Engineering Department of
Universitas Muhammadiyah Surakarta.
3) Suhendro Trinugroho as author’s academic advisor who has given many
suggestion for author’s academic.
4) Agus Susanto,S.T,M.T. as major advisor who has guided and taught the author.
5) Anto Budi Listyawan,S.T,M.Sc. as secondary advisor who has guided and taught
the author.
6) Ir. Renaningsih,M.T. as examiner who has given some advices to make this final
project better.
7) All lecturers in Civil Engineering Department of Engineering Faculty of
Universitas Muhammadiyah Surakarta thanks for your guidance and knowledge.
8) Dad, mom and my beloved family who always give me support. Thanks for your
praise and wish a long this time, may Allah give you a reward as well as you give
to me.
viii
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ix
TABLE OF CONTENT
FINAL PROJECT TITLE…………………………………………………………...i
CERTIFICATION SHEET……...………………………………………………….ii
PREFACE…………………………………………………….……………………..iii
DECLARATION OF AUTHORSHIP……………………………………………..v
MOTTO……………………………………………………………………………...vi
ACKNOWLEDGEMENT…………………………………………………………vii
TABLE OF CONTENT..…………………………………………………………...ix
LIST OF FIGURE………………….……………………………………………..xiii
LIST OF TABLE.…………………………………………………………………..xv
LIST OF NOTATION…...………………………………………………………..xvi
ABSTRACTION…..……………..………………………………………………xviii
CHAPTER I INTRODUCTION
A. Background of The Research…………………………………..1
B. Statement of The Research……………………………………..2
C. The Research Objectives……………………………………….2
D. Benefit of The Research………………………………………..3
E. Limitation of The Research…………………………………….3
F. The Originality of The Research……………………………….3
CHAPTER II LITERATURE REVIEW
Raft Foundation…………………………………………………...5
1. The Types of Raft Foundation…………………………………6
2. Bearing Capacity of The Raft Foundation……………………..7
3. Consolidation of Raft Foundation……………………………...9
4. Structural Design of Raft Foundation………………………...11
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CHAPTER III THEORORITICAL REVIEWS
A. CPT (Cone Penetration Test)…………………………………15
1. Application……………………………………………15
2. Equipment and Supplies………………………………15
3. Implementation and Operation………………………..15
4. Calculation……………………………………………16
B. Statistic………………………………………………………..16
C. Measurement and Display Data………………………………17
D. Probability Distribution……………………………………….18
1. Normal Distribution…………………………………..18
2. Gamma Distribution…………………………………..19
3. Beta Distribution……………………………………...19
4. Log-Normal Distribution……………………………..20
E. Chi-Square Test………………………………………………20
F. Introduction Program MATLAB……………………………..21
G. Introduction Program Crystal Ball……………………………21
CHAPTER IV RESEARCH METHOD
A. General………………………………………………………..23
B. Research Data…………………………………………………23
C. Research Tool…………………………………………………23
1. MATLAB Program…………………………………...23
2. Crystal Ball Program………………………………….23
3. Drawing Program (AutoCAD 2007)………………….23
4. Microsoft Office (Office 2010)……………………….23
D. Research Step…………………………………………………23
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CHAPTER V ANALYSIS AND DISCUSSION
A. CPT Data Hotel Anugerah Palace…………………………..28
B. Capacity Analysis of Raft Foundation………………………..38
1. Calculation of Data Sondir S1………………………...39
2. Calculation of Data Sondir S2………………………...39
3. Calculation of Data Sondir S3………………………...39
4. Calculation of Data Sondir S4………………………...40
5. Calculation of All Combined Data Sondir……………40
C. Statistical Analysis……………………………………………40
1. Data Preparation of MATLAB Program……………...40
2. Value of Chi-Square ( )……………………………..40
3. Chi-Square Test ( )………………………………….42
D. Parameters of Statistics……………………………………….47
1. Mean (Average Value)………………………………..47
2. Standard Deviation……………………………………48
3. The Coefficient of Variation (V)……………………..48
E. Raft Foundation Analysis With Probability Method Using
Crystal Ball Program………………………………………….49
1. Calculation at Point 1 (S1)……………………………50
2. Calculation at Point 2 (S2)……………………………52
3. Calculation at Point 3 (S3)……………………………55
4. Calculation at Point 4 (S4)……………………………57
5. Calculation Combined All Point……………………...60
F. Structural Design of Raft Foundation………………………...63
Determination of The Thickness of The Mat…………………78
Determination of Reinforcement……………………………...79
Calculation Length of Pressure Distribution………………….81
xii
CHAPTER IV CONCLUSION AND SUGGESTION
A. Conclusion…………………………………………………….86
B. Suggestion…………………………………………………….86
REFERENCE
APPENDIX
viii
LIST OF FIGURE
Figure II.1. Types of foundation (Listiyonobudi.blogspot.com)..…………………7