Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2014
EGM 3344
Homework 4
Assigned: January 31, 2014
Due: before start of class, February 7, 2014
Your Name Here (Print Neatly)
Student UF ID Number
Course Section Number
University of Florida
Gainesville, FL 326116250
Instructions
Your work should be stapled
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2014
EGM 3344
Homework 4 Solutions
Assigned: January 31, 2014
Due: before start of class, February 7, 2014
Your Name Here (Print Neatly)
Student UF ID Number
Course Section Number
University of Florida
Gainesville, FL 326116250
Instructions
Your work should b
INTRODUCTION TO NUMERICAL METHODS OF ENGINEERING ANALYSIS
EGM 3344

Fall 2010
Solution to HW3
EGM3344
FALL 2010
Problem 4.1
Problem 4.3
function ep = macheps
% determines the machine epsilon
e = 1;
while (1)
if e+1<=1, break, end
e = e/2;
end
ep = 2*e;
> macheps
ans =
2.2204e016
> eps
ans =
2.2204e016
Problem 4.4
function s = sma
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2014
EGM 3344
Homework 3 Solutions
Assigned: January 24, 2014
Due: before start of class, January 31, 2014
Your Name Here (Print Neatly)
Student UF ID Number
Course Section Number
University of Florida
Gainesville, FL 326116250
Instructions
Your work should b
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Fall 2015
EGM 3344
Homework 1
Assigned: September 1, 2015
Due: Beginning of the lecture, September 9, 2015
Your Name Here (Print Neatly)
Student UF ID Number
University of Florida
Gainesville, FL 326116250
Instructions
Your work should be stapled to the rst page o
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2014
EGM 3344
Homework 12 Solutions
Assigned: April 14, 2014
Due: before start of class, April 21, 2014
Your Name Here (Print Neatly)
Student UF ID Number
Course Section Number
University of Florida
Gainesville, FL 326116250
Instructions
Your work should be s
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2014
EGM 3344
Homework 3
Assigned: January 24, 2014
Due: before start of class, January 31, 2014
Your Name Here (Print Neatly)
Student UF ID Number
Course Section Number
University of Florida
Gainesville, FL 326116250
Instructions
Your work should be stapled
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  23
ME 431 Homework
Find the velocities of points B, C and D of the doubleslider mechanism shown in the figure if Crank 2
rotates at 42 rad/sec CCW.
D
6
5
C
1
2
E
2
A
3
4
B
Scale: 1 in = 4 in
Ov
+
Scale: 1 in = 10 in/sec
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  33
ME 431 Homework
In the mechanism shown, 12 = 20 rad/sec (ccw) and angular acceleration of 200 rad/sec2 (cw).
At the instant shown, Point D, the center of curvature of Link 3, lies directly above Point E, and
Point B lies directly above Point
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  34
ME 431 Homework
In the mechanism shown, 1 2 = 10 rad/sec. Determine 1VC3/C2 and 1VC3 using two approaches:
1) Equivalent linkages
2) Coincident points at C.
In each case, use a velocity scale of 1 = 10 in/sec.
Scale: 1" = 2 in
1
2
B
2
A
3
C
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  31
ME 431 Homework
In the mechanism shown, 12 = 2 rad/sec at a constant velocity. Draw the velocity and
acceleration polygon and determine 1VE5/E4 and 1 5, 1 5. Assume that Links 4 and 5 are always
in contact.
4
D
E
F
5
1
A
2
G
B
2
B
3
Scale: 1
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  35
ME 431 Homework
In the position shown, find the velocity and acceleration of Link 3 using equivalent linkages.
C
Full Scale
2
3
B
1
2
A
2 = 100 rad / sec CCW
1
2 = 20,000 rad / sec 2 CCW
1
Scale: 1 = 20 in/sec
+
Scale: 1 = 5,000
+
Oa
in/se
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  61
ME 431 Homework
In the mechanism given, 1VB2 is 10 in/sec to the right. Use the loop equation approach to
determine 1VA4.
4
AB = 10 inches
A
3
30
o
B
1
2
VB2
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  60
ME 431 Homework
In the mechanism given, Point A is moving to the right with a velocity of 10 cm/sec. Use the loop
equation approach to determine the angular velocity of Link 3. Link 3 is 10 cm long, and is 120
degrees in the position shown.
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  41
ME 431 Homework
In the mechanism shown below, Link 2 is turning counterclockwise at the rate of 10 radians/sec
(constant). Draw the velocity and acceleration polygons for the mechanism, and record values for 1aG3
and 1 4. List all equations
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  65
ME 431 Homework
For the mechanism shown, write the vector loop equations for position, velocity, and acceleration.
Write the equations in component form, and label each term in the acceleration equations, stating
whether it is a tangential,
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  40
ME 431 Homework
In the mechanism shown below, Link 2 is turning clockwise at the rate of 20 radians/sec. Draw the
velocity and acceleration polygons for the mechanism, and record values for 1aC3 and 13. List all
equations used and show neces
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  64
ME 431 Homework
Use loop equations to determine the velocity and acceleration of Point B on Link 2 when 3 = 30
degrees. Make Point A the origin of your reference coordinate system.
10 in.
2
B
Y
3
4
A
X
4=1
1
4=0
1
1V
B2
= _
1a
= _
B2
3
rad
s
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  39
ME 431 Homework
In the draglink mechanism shown, Link 2 is turning CW at the rate of 130 rpm. Construct the velocity
and acceleration polygons and compute the following: 1aE5, 1aF6, and the angular acceleration of Link 5.
(Show all calculat
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  38
ME 431 Homework
In the mechanism shown, Link 4 moves to the left with a velocity of 8 in/sec and the acceleration is 80
in/sec2 to the left. Draw the velocity and acceleration polygons and solve for the angular velocity and
acceleration of L
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  63
ME 431 Homework
The mechanism shown is a marine steering gear called Rapson slide. AB is the tiller, and CD is
s
the actuating rod. If the velocity of rod CD is a constant 10 inches/minute to the right, use the
loopequation approach to dete
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  37
ME 431 Homework
The angular velocity of the driving eccentric (Link 2) of the mechanism shown is 20 rad/sec, and the
angular acceleration is 100 rad/sec2 at the instant being considered. Assume that the mechanism is drawn
to scale, and deter
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  62
ME 431 Homework
In the mechanism shown, Link 3 slides on link 2, and Link 4 is pinned to Link 3. Link 4 also
slides on the frame (Link 1). If 1 2 = 10 rad/sec CCW, use the loopequation approach to
determine the velocity of Link 4 for the po
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  36
ME 431 Homework
The angular velocity of the Link 2 of the mechanism shown is 20 rad/sec, and the angular acceleration is
100 rad/sec2 at the instant being considered. Assume that the mechanism is drawn to scale, and
determine the linear velo
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  30
ME 431 Homework
The circular cam shown is driven at an angular velocity, 1 2 = 15 rad/sec, CW. There is rolling contact
between the cam and the roller, Link 3. Find the angular velocity of the oscillating follower, Link 4.
3
D
4
E
C
B
2
+
A
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  29
ME 431 Homework
Crank 2 of the pushlink mechanism shown in the figure is driven at a constant angular velocity, 1 2 = 60
rad/s CW. Find the velocity of Point C and the angular velocity of Links 3 and 4.
B
4
3
D
C
O2
O4
2
Scale: 1 cm= 5 cm
A
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  15
ME 431 Homework
Complete the velocity polygon to determine the velocity of Link 6.
B
2
Full Scale
3
4
E
A
C
5
D
Ov
Scale:
1" = 5 in/sec
a2
6
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2010
Homework  14
ME 431 Homework
In the mechanism shown below, Link 2 is rotating clockwise at the rate of 180 radians/sec. Construct the
complete velocity polygon (use scale: 1 in = 30 ft/sec), and determine 1VB2, 1VC3, 1VE3, 13, 14. List all
equations used
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2014
Sipsons Rule:
b
h = (ba)/n
f (a)+ f (b )
f ( a ) + f (b)
I = f ( a ) +
( xa ) dx=(ba)
2
2 1/3 rule
a
( Xo+ X 2 )
h
I = [f ( Xo ) +4 f [
]+ f ( X 2 ) ]
I = (width)x(average height)
3
2
Composite trapezoidal
Composite 1/3
h = (ba)/n
f ( Xo )+ 4 f ( X 1 )+
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2014
Project
Input:
clc;clear;
%part 1
file = xlsread('Proj Sunspot Number Data.xlsx');
N = 3213;
T = 3212;
col = 0;
S = [];
for n = 6427:9639;
col = file(n);
S = [S col];
end
So = 1/N*sum(S)
%part 2
k = 1:3213;
Z(k) = S(k)  So;
%part 7
an = 0;
bn = 0;
cn = 0
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2015
HOMEWORK ASSIGNMENT 2
For EGM 3344
Due: Friday, 9/9/2016, MONDAY, 9/12/2016, before 3:00 pm
Assigned: 8/31/2016
Problems from Textbook by Chapra (Chapters 4, 5)
Problem
4.4
4.5
4.8
Approach
Matlab
Matlab
Hand
4.16
Matlab
4.22
Matlab
S1
5.7
hand
Hand
Comme
Introduction to Numerical Methods of Engineering Analysis
EGM 3344

Spring 2015
HOMEWORK ASSIGNMENT 7
EGM 3344
Interpolation
Due: Monday, November 7, 2016, 3:00 pm
Problems from Chapra book chapters 1718
Prob.
17.6
17.8
Approach
Hand
Matlab
17.13
Matlab
S1
Matlab
Comments
Use the builtin Matlab function polyfit to determine
the cub