pengantar analisaanalisa terapan terapan: · pdf file1 analisaanalisa terapan terapan:...

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1 Analisa Analisa Terapan Terapan: : Metode Metode Numerik Numerik Pengantar If you don’t let a teacher know at what level you If you don’t let a teacher know at what level you are by asking a question, or revealing your are by asking a question, or revealing your ignorance you will not learn or grow. ignorance you will not learn or grow. An advice An advice You can’t pretend for long, for you will eventually You can’t pretend for long, for you will eventually be found out. Admission of ignorance is often be found out. Admission of ignorance is often the first step in our education. the first step in our education. Steven Covey Steven Covey—Seven Habits of Highly Effective Seven Habits of Highly Effective People People 2

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Page 1: Pengantar AnalisaAnalisa Terapan Terapan: · PDF file1 AnalisaAnalisa Terapan Terapan: MetodeMetode Numerik Pengantar • If you don’t let a teacher know at what level youIf you

1

AnalisaAnalisa TerapanTerapan: : MetodeMetode

NumerikNumerik

Pengantar

•• If you don’t let a teacher know at what level you If you don’t let a teacher know at what level you

are by asking a question, or revealing your are by asking a question, or revealing your

ignorance you will not learn or grow.ignorance you will not learn or grow.

An adviceAn advice

•• You can’t pretend for long, for you will eventually You can’t pretend for long, for you will eventually

be found out. Admission of ignorance is often be found out. Admission of ignorance is often

the first step in our education.the first step in our education.

–– Steven CoveySteven Covey——Seven Habits of Highly Effective Seven Habits of Highly Effective

PeoplePeople

2

Page 2: Pengantar AnalisaAnalisa Terapan Terapan: · PDF file1 AnalisaAnalisa Terapan Terapan: MetodeMetode Numerik Pengantar • If you don’t let a teacher know at what level youIf you

What do you think?What do you think?

Dr.Eng. Agus S. Muntohar -

Department of Civil Engineering3

MengapaMengapa menggunakanmenggunakan MetodeMetode

NumerikNumerik??

•• UntukUntuk menyelesaikanmenyelesaikan masalahmasalah yang yang tidaktidak dapatdapat

diselesaikandiselesaikan dengandengan prosedurprosedur eksakeksak

4

due

x u

∫∞−

2

2

2

1

π

Page 3: Pengantar AnalisaAnalisa Terapan Terapan: · PDF file1 AnalisaAnalisa Terapan Terapan: MetodeMetode Numerik Pengantar • If you don’t let a teacher know at what level youIf you

Mengapa menggunakan Metode Mengapa menggunakan Metode

Numerik?Numerik?

•• UntukUntuk menyelesaikanmenyelesaikan masalahmasalah yang yang sangatsangat rumitrumit!!

5

BagaimanaBagaimana menyelesaikanmenyelesaikan masalahmasalah

keteknikanketeknikan??

Deskripsi Masalah

Model Matematika

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Model Matematika

Solusi Model Matematika

Pemakaian Solusi

Page 4: Pengantar AnalisaAnalisa Terapan Terapan: · PDF file1 AnalisaAnalisa Terapan Terapan: MetodeMetode Numerik Pengantar • If you don’t let a teacher know at what level youIf you

ContohContoh SolusiSolusi MasalahMasalah KeteknikanKeteknikan

7

ContohContoh SolusiSolusi MasalahMasalah KeteknikanKeteknikan

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Page 5: Pengantar AnalisaAnalisa Terapan Terapan: · PDF file1 AnalisaAnalisa Terapan Terapan: MetodeMetode Numerik Pengantar • If you don’t let a teacher know at what level youIf you

Hub

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Trunnion

Girder