Structural Analysis Lecture No.1

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Structural AnalysisMSc-YEAR 2015

by

DR. IFFAT SIDDIQUE


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Introduction Introduction of Students

Introduction of Subject

Introduction of Teachers


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Reference Books The Finite Element method using MATLABYoung W.

Kwon & Hyochoong Bang

Matlab Code for Finite Element AnalysisA.J.M. Ferreira

Essential MATLAB for engineers and ScientistsBrain

Hahn & Dan Valentine

www.mathworks.com/support/bookslist of Matlab and

Simulink based books

www.matworks.cominfo about MathWorks products and

their use


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What is MATLAB? MATLAB stands for matrix laboratory

Originally written to provide easy access to matrix

software developed by the LINPACK and EISPACK

projects which are now a part of it

Widely used in engineering, mathematics and

sciences

Why?


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Typical Uses

Mathematical computation

Algorithm development

Data acquisition

Modeling, simulation, and prototyping Data analysis, exploration, and visualization

Scientific and engineering graphics


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Getting Started With MATLAB installed

Open up your MATLAB

Through START menu


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MATLAB Desktop


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Command Window: Where you enter commands

Command History: running history of commands

which ispreserved across MATLAB sessions

Current directory: Default is $matlabroot/work

Workspace: GUI for viewing, loading and savingMATLAB variables

Editor/Debugger: text editor, debugger; editor workswith file types in addition to .m (MATLABm files)


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Making Folders


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Customization


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Help/ Doc

>> lookforkeyword search to search for a particular string in Help

text of functions

>> demo for a demonstartion program


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ScriptsOverview


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Scriptsthe Editor


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ScriptsSome Notes


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Quitting MATLAB To end your MATLAB session

File -> Exit MATLAB in the desktop

OR Type

quit / exit in the command window


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Arithmatic To sum up x + y

Subtraction x - y

Multiplication x * y Division x/ y

x\ y

Exponent x ^ y

Try with: x=2, y=3


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Operators Precedence


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Operators Precedence


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Variables Assign variables to do the arithmetic operations

To use the result in further calculations

>> a=2

>> a= a+7

>> a=a*10

>> b=3

>> z=a+b

NOTE: In the last case the latest result is saved in a variable Ans replacing theresult of the previous calculation.

Semicolon


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Variable Names It may consist only of:

- Letters from a-z

- Numbers from 0-9- underscore ( _ )

It must start with a letter

NOTE: MATLAB is case sensitive


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Mathematical Functions MATLAB has all of the useful mathematical functions.

>> x=4;

>> sqrt(x)

>> sin (x) excepts x in radians[Syntax 4 sin(90): sin(90*pi/180)

>> cos(x)

>> log (x)

>> exp(x) exponential function ex

>> pi*x

NOTE: whos , clear, clc


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Vectors Matrices having single row/column, also referred to as array

- Elements must be enclosed in square brackets x=[1 4 9 8]

- Elements must be separated by spaces or commas

Can be initialized using colon operator

>> x= 1:10;

Other vectors can be defined in terms of defined vector x.

>> y= 2.*x

>> z= sin(x)

>> X= 0:0.1:10;

NOTE: colon, element-wise operations , grid, plot, disp, whos


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Vector Transpose To create column vectors

- Elements separated by semi colon

- Transpose of row vector using a single

apostrophe e.g, x=[1 7 3 8 6]

Function linspace to initialize vector having equallyspaced values

x= linspace (0,pi/2,10) creates 10 equally spacedelements from 0 to pi/2.


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Vector Subscripts Used to refer particular elements of a vector

A subscript is indicated by paranthesis

It may be a scalar or a vector

In MATLAB it always starts with 1.

Fractional subscripts are not allowed


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Like, r=rand(1,7)

r(3) displays third element

r(2:4) displays second third and fourth element.

To remove elements from a vector use subscripts

r([1 7 2])= []


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Matrices Like a table consisting of rows and columns

Created just like vectors

Semicolon is used to indicate the end of the row

Can be transposed in the same fashion as vectors

Can also be created using vectors of same length


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Script Files

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