Name (LAST, First) [SO/u #0143
CME 434 Midterm Test 3: 4/15/2011
‘CME 434 FEM: Midterm Test 3
Instructions:
You have 50 minutes to ﬁnish the problem (max score: 100)
Include units on answers where appropriate for full credits
Try to mark ﬁnal answers clea

Finite Element Theory - Class Notes
for CME 434
These notes are intended to complement the text for the course, covering
more of the derivation and the theory. This is a first pass. There may be
typos. Please inform me if anything looks wrong.
Contents
1

Finite Element Theory - Class Notes
for CME 434
These notes are intended to complement the text for the course, covering
more of the derivation and the theory. This is a first pass. There may be
typos. Please inform me if anything looks wrong.
Contents
8

Finite Element Theory - Class Notes
for CME 434
These notes are intended to complement the text for the course, covering
more of the derivation and the theory. This is a first pass. There may be
typos. Please inform me if anything looks wrong.
Contents
7

Finite Element Theory - Class Notes
for CME 434
These notes are intended to complement the text for the course, covering
more of the derivation and the theory. This is a first pass. There may be
typos. Please inform me if anything looks wrong.
Contents
9

CME 434 Finite Element Analysis 1
Homework 3
due Friday, September 9
1. (20 points) For the bar equation we have been studying, assume the
Youngs Modulus and the cross-sectional area are constant, and the distributed force is a constant f . The differenti

CME 434 Finite Element Analysis 1
Homework 2
due Friday, September 2
1. (10 points) Show that (AB)1 = B 1 A1
2. If
2 1 0
2
A = 1 3
0
2 1
(1)
a. (10 points) Calculate det A by expanding by cofactors
b. (10 points) Recalculate the determinant using the for

CME 434 Finite Element Analysis 1
Homework 1
due Monday, August 29
0. Read the syllabus
1. (20 points) Sign up for and stop by Craigs extended office hours.
Monday, 8/22 2:15 - 3:30, 5 - 5:30
Tuesday, 8/23 1-2
Wednesday, 8/24 2:15-3:30 (Note: this week on

CME 434 Finite Element Analysis 1
Homework 5
due Friday, September 23
1. Consider an element 90 cm long, with a linearly increasing force per
unit length, from 30 kN/cm at the left end to 60 kN/cm at the right end.
Using natural coordinates, determine the

CME 434 Finite Element Analysis 1
Homework 4
due Friday, September 16
1. (15 points) A bar element has a constant Youngs modulus of 30 106
psi, but a cross-sectional area that varies linearly from 5 square inches at
the left end to 4 square inches at the

CME 434 Finite Element Analysis 1
Exam 3 notes
- The final exam will be Friday, December 12, 10:30 am - 12:30 pm, In
our regular classroom.
- The final exam will be comprehensive, but will be weighted on the last
third of class, elasticity. This correspon

Name:
CME 434 Finite Element Analysis 1
Midterm Exam 1
Wednesday, October 14
53 points total
Instructions:
You have 50 minutes to complete this exam.
Show work on all problems for full credit.
Include units on answers where appropriate for full credit.
Ma

CME 434 Finite Element Analysis 1
Exam 1 notes
- On the first exam you will be responsible for everything covered in class
through, Section 7.10 of the notes, and homework 6. You will not be tested
on material presented after that.
- The exam will be clos

CME 434 Finite Element Analysis 1
Exam 2 notes
- On the second exam you will be responsible for everything covered in
class in postprocessing of beams, xed end forces, frames, heat conduction,
and theory of elastostatics (but not the nite element implemen

Finite Element Theory - Class Notes
for CME 434
These notes are intended to complement the text for the course, covering
more of the derivation and the theory. This is a first pass. There may be
typos. Please inform me if anything looks wrong.
Contents
3

Finite Element Theory - Class Notes
for CME 434
These notes are intended to complement the text for the course, covering
more of the derivation and the theory. This is a first pass. There may be
typos. Please inform me if anything looks wrong.
Contents
11

Finite Element Theory - Class Notes
for CME 434
These notes are intended to complement the text for the course, covering
more of the derivation and the theory. This is a first pass. There may be
typos. Please inform me if anything looks wrong.
Contents
22

0. 3
E 200 E 9
u1 1.3E 6
u 2 1. 8 E 6
u 3 1. 4 E 6
v1 3.3E 6
v 2 2.7 E 6
v3 2.8 E 6
x1 0.011
y1 0.007
x 2 0.002
y 2 0.002
x3 0.0095
y3 0.002
2 A x1( y 2 y3) x 2( y3 y1) x3( y1 y 2)
0.0000675
1 x 2 y 3 y 2 x3
2 x3 y1 y3 x1
3 x1 y 2 y1x 2
1
E
D
(1 2 )

K
H
5:2.2x\0 Pa
7.
H=\om
at
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“3
(Cos (27.931
-Q IL
=\0W\
oh
d3”: = a 3 a
Cos (7.7.5) %(11$‘)
2.
\O \O .
= 1.9. X X x Kgﬁﬁgllsx)
E S
57%
h,
’Q
a = 215° " ha 1" “é,
\ \ i 1
7 .3. l 1
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- x _ _ :_
a K _. 1.533 Ti 1 Ti 1 =
—‘ a .L \_
’7

Name (LAST, First) A T N MLLERM‘O
CME 434 FEM: Midterm Test 3
Instructions:
0 You have 50 minutes to ﬁnish the problem (max score: 100)
0 Include units on answers where appropriate for full credits
0 Try to mark ﬁnal answers clearly by boxing them
0 Feel

« Name (LAST, First) 6 2W M N ! 6m] LL 6 (l M 0 CME 434 Midterm Test 2: women
CME 434 FEM: Midterm Test 2
to
$0
Instructions:
0 You have 50 minutes to ﬁnish the problem (max score: 100)
0 Include units on answers where appropriate for full credits
0 Try t

CME 434 Midterm Test 2: 3/09/2012
Name (LAST, First) g( whom
CME 434 FEM: Midterm Test 2
Instructions:
You have 50 minutes to ﬁnish the problem (max score: 100)
Include units on answers where appropriate for ﬁill credits
Try to mark ﬁnal answers clearly b

Name (LAST, First) [50 /M 0V7]
CME 434 Midterm Test 2: 3/19/2010
CME 434 FEM: Midterm Test 2
Instructions:
0 You have 50 minutes to ﬁnish the problem (max score: 100)
0 Include units on answers where appropriate for full credits
0 Try to mark ﬁnal answers

I
Name (LAST, First) 50/14 I” 014 CME 434 Midterm Test 3: 4/27/2010
CME 434 FEM: Midterm Test 3
Instructions:
0 You have 50 minutes to ﬁnish the problem (max score: 100)
0 Include units on answers where appropriate for full credits
0 Try to mark ﬁnal answ

CME 434 Final Exam: 5/3/2011
Name (LAST, First)
CME 434 FEM: Final Exam
Instructions:
0 You have 100 minutes to ﬁnish the problem (max score: 100)
0 Include units on answers where appropriate for full credits
0 Try to mark ﬁnal answers clearly by boxing t

Name (LAST, First) A SO/C/ J79 M 2 CME 434 Midterm Test 3: 4/19/2012
CME 434 FEM: Midterm Test 3
Instructions:
0 You have 50 minutes to ﬁnish the problem (max score: 100)
0 Include units on answers where appropriate for full credits
0 Try to mark ﬁnal ans

Name (LAST, First) [Sb/M k ° “3 CME 434 Final Test: 5/1/2012
CME 434 FEM: Final Test
Instructions:
0 You have 100 minutes to ﬁnish the test (max score: 100)
0 Include units on answers where appropriate for ﬁill credits
0 Try to mark ﬁnal answers clearly b

Finite Element Theory - Class Notes
for CME 434
These notes are intended to complement the text for the course, covering
more of the derivation and the theory. This is a first pass. There may be
typos. Please inform me if anything looks wrong.
Contents
10

Finite Element Theory - Class Notes
for CME 434
These notes are intended to complement the text for the course, covering
more of the derivation and the theory. This is a first pass. There may be
typos. Please inform me if anything looks wrong.
Contents
18

CME 434 notes - Matrix Equations
These notes are intended to complement the text for the course, covering
more of the derivation and the theory. This is a draft. There may be typos.
Please inform me if anything looks wrong.
Contents
1 Matrices
1.1 Introdu