MAE 598: In-Class Assignment #2
Avoiding Bioenergy Competition for Food Crops and Land
There is a conflict of interests with supporting the use of bioenergy, but also needed enough
land to support the estimated meat, dairy, commercial timber and pulp incr
Composite PS 1
October 17, 2015
Problem 1. Calculate the ratios of fiber stress to matrix stress and fiber stress to composite stress for
unidirectional composites with Vf = 10, 25, 50, and 75 percent. Assume that the composites are loaded
in a direction
Polymers & Composites
Composites Problem Set 2
Problem 1. Calculate the
matrix at 30, 45and 60 for the lamina whose Q matrix is given by
Q
20 0.7 0
Q 0.7 2 0
0
0 0.7
GPa
was calculated usingthe off axis stiffnesscoefficients
Q
For matrix at 30 degr
Polymers & Composites
Composites Problem Set 3
Problem 1. A [0/90/0/90 s
laminate is made from identical plies having the following
properties:
E1=15 GPa G12=3 GPa
E2=6 GPa v 12 =0.05
Each ply is 0.5mm thick. The laminate is subjected to in-plane loads
N
Polymers & Composites
Composites Problem Set 4
Problem 1. An element of a balanced orthotropic lamina is subjected to the following state of
stress as shown in the figure:
x = 100 MPa
y = -50 MPa
xy = 50 MPa
The properties of the lamina are as follows:
E1
In-Class Assignment #1
1. How much capacity do the best car batteries have? What about the typical?
The best car battery available in an 85 kilowatt-hour battery on the Tesla Model S
electric sports sedan. While Hyundai, Honda, and Toyota will introduce h
1) Ocean Power Technologies received at least $8.7 million in federal and state grants but still left
to continue its project in Australia. However, Australia is backing the project with a $62 million
commitment because the project is costing more than wh
MAE 502/MSE 502
Partial Differential Equations
Method of Separation of Variables
Lectures 6-7
06-Sept-2016
08-Sept-2016
Solution of the Heat Equation
We are interested in solving the heat equation defined by:
with subsidiary conditions:
Initial condition
MAE 502/MSE 502 Fall 2016
First Partial Exam
Due: Tuesday October 4 at the start of class
Name:_
Student ID #:_
Instructions:
- Individual Work, no consultations with peers, tutors, solution manuals, or other aid found online are allowed.
- For each quest
MAE 502/MSE 502
Heat Equation in Two or Three
Dimensions
30-Aug-2016
Heat Equation in Two or Three dimensions
General heat conduction equation:
Ko: thermal conductivity
c: specific heat
: density
For any 2- or 3-D system it is true that:
LMB
MAE 502/MSE 5
%HW3_1A_1211379010
clear
Uxt=0;
x=0:(pi/45):pi;
for t=[0 1 1.5 2.5 4.5]
for n=1:50
Bn=2/pi*(-1)^(n-1)*(-3*pi^2+6*pi+2)/(n-1/2)^2+6/
(n-1/2)^4)-6/(n-1/2)^3);
temp=Bn*sin(n-1/2)*x)*exp(-(n-1/2)^2+pi/4)*t);
Uxt=Uxt+temp;
end
plot(x,Uxt)
Uxt=0;
hold on;
end
x
%Mid1_2_1211379010
clear
i=1;
uxy=zeros(51,101);
for x=0:.01:1
j=1;
for y=0:.01:.5
Uxy=3/4*sinh(4*pi*(x-1)/sinh(-4*pi)*sin(4*pi*y);
for n=1:20
fr=0;
for m=1:21
tempm=2*(-1)^(m-1)*(n*pi)^(2*m-1)/factorial(2*m-1)/
(4*m-1);
fr=fr+tempm;
end
tempn=-6/(n*pi)^3
%HW3_2_1211379010
clear
Uxt=3;
x=0:.01:1;
c(2)=1/2;
c(6)=-3/4;
for t=[0 .05 .1 .15 .25]
for n=[2 6]
temp=c(n)*(cos(2*n*pi*x)+sin(2*n*pi*x)*exp(-(n*pi)^2*t);
Uxt=Uxt+temp;
end
plot(x,Uxt)
Uxt=3;
hold on;
end
xlabel('X = 0 to 1')
ylabel('U(x,t)')
legend('t=
%HW3_3_1211379010
clear
r=.5; Ut=0;
theta=0:(pi/90):(pi/2);
for n=[1 2 3]
u=4/(pi*(1-2*n)*cos(n*pi)*cos(2*n-1)*theta)*r^(2*n-1);
Ut=Ut+u;
plot(theta,Ut)
end
xlabel('theta = 0 to pi/2')
ylabel('Temperature U')
Published with MATLAB R2016b
1
MAE/MSE 502 - Fall 2016 Homework 3
Due: Sept 27th
Name:_
Student ID #:_
Instructions:
Submit this page as cover page for your work
Individual work
See required submission for each question
Clarity in your solutions is expected from you. This includes the
%HW3_1C_1211379010
clear
for t=0:.005:4.5
e=0;
for n=1:50
Bn=2/pi*(-1)^(n-1)*(-3*pi^2+6*pi+2)/(n-1/2)^2+6/
(n-1/2)^4)-6/(n-1/2)^3);
temp=Bn*exp(-(n-1/2)^2+pi/4)*t)*(cos(n-1/2)*pi)+1)/
(n-1/2);
e=e+temp;
end
plot(t,e,'.b')
hold on
end
xlabel('t = 0 to 4.5'
2 Stress
2.Stress
This Chapter answers major questions such as
ThisChapteranswersmajorquestionssuchas
Howtodeterminetheloadinginsideabody,notjustthe
pp
reactionsatsupports?
Whatisthetruephysicalquantityassociatedwiththe
failureofsystems?
Chapteroutline:
2
3-2
A well-insulated room with a volume of 60 m3 contains air initially at 100 kPa and 25oC. A 100-W
light bulb is turned on for 3 hours. Assuming the room is air-tight, estimate the final temperature.
Approach:
Use the first law to find the change in tem
MAE 240 Fall 2016
Homework 4 Due 9/21/2016
Conduction, Convection and Radiation; Resistance Analogy
1. An aluminum wire 2.5 m long conducts 12 A with an imposed voltage of 1.5 V. The wire, which
has a diameter of 2.4 mm, is covered with a layer of insulat
MAE 213 Solid Mechanics
Homework #4
Due: September 19, Monday in class
P1. [Average stresses]
The frame is subjected to the triangular
distributed load with w = 200 N/m. Bar BC has a
square cross section of 40 mm on each side.
Determine the average normal
MAE384 Homework #4
due Thursday, Sep. 29th, 2016 at beginning of class in the class room.
Read the following carefully. No exceptions.
For each problem, document all steps you took to solve the problem. This can be handwritten, but
must be legible for cr
MAE 215: Introduction to Programming in MATLAB, Fall 2016
Homework Assignment #2
Due: Thursday, September 15th by 11.59 pm
Submission Instructions: Your solutions to this assignment must be typed and neatly
presented. Unorganized solutions and/or solution
- Section 7.2 The Eular Coefcients
- To obtain formulas for the coefcients all and b, in the expansion
' t
l.- (1) t) = at, + aloosip-t + (120051 + + ancosn:-+
2
+ blsinnr+ minl + + mg +
_ p p p
of a function f of period 2p, assuming, of course, that the