FINITE ELEMENTS CE 60130
HOMEWORK 3
KEY
SPRING 2014
1. Problem 1
Consider the problem
d6 u
+ u = 15x3
dx6
with specied boundary conditions:
du
dx
u|x=0 = A
d2 u
dx2
d4 u
dx4
=B
x=0
d3 u
dx3
x=0
=E
x=10
x=10
d5 u
dx5
=C
x=10
=D
=F
Consider the following 3

UNIVERSITY OF NOTRE DAME
Department of Civil and Environmental Engineering
and Earth Sciences
March 26th , 2015
Due: April 2nd , 2015
CE 60130 Finite Elements in Engineering
J.J. Westerink
Homework Set #5
Problem 1
Develop the Galerkin symmetrical weak we

UNIVERSITY OF NOTRE DAME
Department of Civil and Environmental Engineering
and Earth Sciences
CE 60130 Finite Elements in Engineering
April 14th , 2015
J.J. Westerink
Due: April 23rd , 2015
Homework Set #6
Problem 1
Design and develop a code to solve the

UNIVERSITY OF NOTRE DAME
Department of Civil and Environmental Engineering
and Earth Sciences
January 29th , 2014
Due: February 5th , 2014
CE 60130 Finite Elements in Engineering
J.J. Westerink
Homework Set #1 KEY
Problem 1
Consider the following ordinary

% Load in analytical solution for comparison
clc
clear all
close all
temp = dlmread('Prob_1_soln.txt');
X = temp(:,1);
Y = temp(:,2);
figure(1)
subplot(2,1,1)
plot(X,Y,'k','LineWidth',2)
figure(2)
subplot(2,1,1)
plot(X,Y,'k','LineWidth',2)
% figure(3)
% s

UNIVERSITY OF NOTRE DAME
Department of Civil and Environmental Engineering
and Earth Sciences
March 3rd , 2015
Due: March 24th , 2015
CE 60130 Finite Elements in Engineering
J.J. Westerink
Homework Set #4
Problem 1
Solve the following ordinary dierential

UNIVERSITY OF NOTRE DAME
Department of Civil Engineering
and Geological Sciences
CE 60130 Finite Elements in Engineering
J.J. Westerink
Homework Set #2 KEY
Problem 1
Consider the following ordinary dierential equation (ODE) of u(x):
d2 u
du u
+x
+ = 3
2
d

UNIVERSITY OF NOTRE DAME
Department of Civil and Environmental Engineering
and Earth Sciences
February 19th , 2015
Due: February 26th , 2015
CE 60130 Finite Elements in Engineering
J.J. Westerink
Homework Set #3
Problem 1
Consider the problem
d6 u
+ u = 1

UNIVERSITY OF NOTRE DAME
Department of Civil and Environmental Engineering
and Earth Sciences
February 6th , 2015
Due: February 12th , 2015
CE 60130 Finite Elements in Engineering
J.J. Westerink
Homework Set #2
Problem 1
Consider the following ordinary di

UNIVERSITY OF NOTRE DAME
Department of Civil and Environmental Engineering
and Earth Sciences
January 29th , 2015
Due: February 5th , 2015
CE 60130 Finite Elements in Engineering
J.J. Westerink
Homework Set #1
Problem 1
Consider the following ordinary die