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Graphing with MATLAB | Problem Set

Module by: Serhat Beyenir. E-mail the author

Summary: Problem Set for Graphing with MATLAB

Exercise 1

Plot y=a+b⁢x y a b x , using the specified coefficients and ranges (use increments of 0.1):

  1. a=2 a 2 , b=0.3 b 0.3 for 0≤x≤5 0 x 5
  2. a=3 a 3 , b=0 b 0 for 0≤x≤10 0 x 10
  3. a=4 a 4 , b=-0.3 b -0.3 for 0≤x≤15 0 x 15

Solution

  1. a=2; b=.3; x=[0:.1:5]; y=a+b*x; 
plot(x,y),title('Graph of y=a+bx'),xlabel('x'),ylabel('y'),grid

  2. a=3; b=.0; x=[0:.1:10]; y=a+b*x; 
plot(x,y),title('Graph of y=a+bx'),xlabel('x'),ylabel('y'),grid

  3. a=2; b=.3; x=[0:.1:5]; y=a+b*x; 
plot(x,y),title('Graph of y=a+bx'),xlabel('x'),ylabel('y'),grid

Exercise 2

Plot the following functions, using increments of 0.01 and a=6 a 6 , b=0.8 b 0.8 , 0≤x≤5 0 x 5 :

  1. y=a+xb y a x b
  2. y=a⁢xb y a x b
  3. y=a⁢sinx y a x

Solution

  1. a=6; b=.8; x=[0:.01:5]; y=a+x.^b; 
plot(x,y),title('Graph of y=a+x^b'),xlabel('x'),ylabel('y'),grid
    2a 
  2. a=6; b=.8; x=[0:.01:5]; y=a*x.^b; 
plot(x,y),title('Graph of y=ax^b'),xlabel('x'),ylabel('y'),grid
    2a 
  3. a=6; x=[0:.01:5]; y=a*sin(x); 
plot(x,y),title('Graph of y=a*sin(x)'),xlabel('x'),ylabel('y'),grid
    2a

Exercise 3

Plot function y=sinxx y x x for π100≤x≤10⁢π 100 x 10 using increments of π100 100

Solution

x = pi/100:pi/100:10*pi;
y = sin(x)./x;
plot(x,y),title('Graph of y=sin(x)/x'),xlabel('x'),ylabel('y'),grid
Figure 1: Graph of y=sinxx y x x
PlotExercise

Exercise 4

Data collected from Boyle's Law experiment are as follows:

Table 1
Volume [cm^3] Pressure [Pa]
7.34 100330
7.24 102200
7.14 103930
7.04 105270
6.89 107400
6.84 108470
6.79 109400
6.69 111140
6.64 112200
Plot a graph of Pressure vs Volume, annotate your graph.

Solution

Pressure=[100330,102200,103930,105270,107400,108470,109400,111140,112200];
Volume=[7.34,7.24,7.14,7.04,6.89,6.84,6.79,6.69,6.64];
plot(Volume, Pressure),title('Pressure Volume Graph'),xlabel('Volume'),ylabel('Pressure'),grid
PV Graph

Exercise 5

The original data collected from Boyle's 1 experiment are as follows:

Table 2
Volume [tube-inches] Pressure [inches-Hg]
12 29.125
10 35.000
8 43.688
6 58.250
5 70.000
4 87.375
3 116.500
Plot a graph of Pressure vs Volume, annotate your graph.

Solution

>> P=[29.125,35,43.688,58.25,70,87.375,116.5];
>> V=[12,10,8,6,5,4,3];
>> plot(V,P),title('Pressure Volume Graph'),xlabel('Volume'),ylabel('Pressure'),grid
PV Graph

Exercise 6

Display the two plots created earlier in one plot.

Solution

PV Graph

Exercise 7

A tensile test of SAE 1020 steel produced the data below 2 experiment are as follows:

Table 3
Extension [mm] Load [kN]
0.00 0.0
0.09 1.9
0.31 6.1
0.47 9.4
2.13 11.0
5.05 11.7
10.50 12.0
16.50 11.9
23.70 10.7
27.70 9.3
34.50 8.1
Plot a graph of Load vs Extension, annotate your graph.

Solution

Extension=[0.00,0.09,0.31,0.47,2.13,5.05,10.50,16.50,23.70,27.70,34.50];
Load=[0.0,1.9,6.1,9.4,11.0,11.7,12.0,11.9,10.7,9.3,8.1];

plot(Extension, Load),title('Load versus Extension Curve'),xlabel('Extension'),ylabel('Load'),grid
LoadVsExtension

Exercise 8

Given below is Stress-Strain data for a type 304 stainless steel. 3 experiment are as follows:

Table 4
Stress [MPa] Strain [mm/mm]
0.0 0.0000
38.6 0.0002
77.2 0.0004
115.8 0.0006
154.4 0.0008
193.0 0.0010
218.0 0.0012
232.0 0.0014
258.0 0.0020
268.0 0.0025
273.0 0.0030
278.0 0.0035
282.0 0.0040
320.0 0.0200
382.0 0.0500
466.0 0.1000
520.0 0.1500
548.0 0.2000
550.0 0.2100
538.0 0.2500
480.0 0.3000
Plot a graph of Stress vs Strain, annotate your graph.

Solution

The data can be entered using Variable Editor:

variables

Then execute the following: 

plot(Strain,Stress),title('Stress versus Strain Curve'),xlabel('Strain [mm/mm]'),ylabel('Stress [mPa]'),grid

StressStrain

Footnotes

  1. Introduction to Engineering: Modeling and Problem Solving by J. B. Brockman, John Wiley and Sons, Inc. © 2009, (p.246)
  2. Introduction to Materials Science for Engineers | Instructor's Manual by J. F. Shackelford, Macmillan Publishing Company. © 1992, (p.440)
  3. Introduction to Materials Science for Engineers by J. F. Shackelford, Macmillan Publishing Company. © 1985, (p.304)

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