Part 1
I.
Part 4
Part 3
Part 2
II.
Part 5
III.
Introduction
a. Intro to FEM 5
b. Matrix Algebra 17
Structural Analysis
a. Springs 25
b. SpringsANSYS Tutorial (LAB #1) 33
c. 1-D Bars 60
d. 1-D BarsANSYS Tutorial 65
e. Trusses 78
f. TrussesANSYS Tutorial (L
ME 5139 Applied Finite Element Method
Midterm Exam 2
Autumn 2012
This exam is Closed Book and Closed Notes. Though probably not needed, you may bring a
calculator. There are three questions, with the number of points indicated at the beginning of
each pro
M E 5139 - Applied Finite Element M ethod
HW 3: Analysis of a Bicycle Wrench
Due: Thurs, Jan. 31 at start of class
Conduct a plane stress analysis of the bicycle wrench shown. The thickness of the wrench is t. The
wrench is made of steel with a modulus of
ME 5139
Applied Finite Element Method
Spring 2013
Lecture Notes, ANSYS Tutorials, and Abaqus Tutorials
Instructor: Rebecca Dupaix (dupaix.1@osu.edu)
Acknowledgements:
ANSYS tutorials by R.B. Dupaix
Theory notes adapted from notes by D.H. Myszka, H. Busby,
2-D and 3-D Bar
(Truss) Elements
ME 5139: Applied Finite
Element Method
Spring 2013
Instructor:
Rebecca B. Dupaix
2-Dimensional Bar Element (Truss)
2-dof per node
General notation:
j
Y
L
y
X
i
x
We already have a
relationship between u and f
in the X-dir
Abaqus/CAE Tutorial
(LAB #4)
ME 5139: Applied Finite Element Method
Spring 2013
Instructor:
Rebecca B. Dupaix
Tutorial Credit: Hyonny Kim
Updated to Abaqus version 6.11 by R. Dupaix
LAB #4 Assignment is to complete this 2D
Abaqus tutorial
Abaqus/CAE Tutor
Beam Elements
ME 5139: Applied Finite
Element Method
Spring 2013
Instructor:
Rebecca B. Dupaix
How would you model these?
248
How would you model this?
How would you model this?
249
How would you model these?
Beams
Slender structural member with one domin
Harmonic Analysis
ANSYS tutorial
ME 5139: Applied Finite
Element Method
Spring 2013
Instructor:
Rebecca B. Dupaix
Example 1: Determine the natural frequencies of the bracket:
Creategeometry,apply
boundaryconditions,
meshpartexactlyasfor
staticormodalanaly
M E 5139 Project 1
Preliminary Results Due: Fri., Feb. 8, 2013
Project Report Due: Thurs, Feb. 14, 2013
The metal seatbelt tongue shown has a thickness of t and must sustain a load of up to 1000 lb.
Using ANSYS or Abaqus, conduct a finite element analysis
1. Short Answer [10 pts]:
1.1 What is one disadvantage to using symmetry in modal analysis?
You will miss some of the natural frequencies.
1.2 When should a shell element be used?
When the part is thin relative to all of the other dimensions and either th
10. [12 pts] The truss shown consists of 6-ft long
aluminum members with cross-sectional area A =
2 in2. Finite element analysis was conducted to
determine the reaction forces, deflections, and the
stress and strain in each member. The following
numerical
ME 5139 - Applied Finite Element Method
Project #2: Analysis of a Cello
Prelim Due: Fri, 3/22 Project Report Due: Thurs, 3/28
In this project you will perform both a structural analysis and a modal analysis of the top
or bottom face of a cello. IGES files
ME 5139: Nonlinear Explicit Dynamic
Simulation with ABAQUS (From Getting Started with
Abaqus, 6.11)
10.5 Example: blast loading on a stiffened plate
Use Abaqus/Explicit to assess the response of a stiffened square plate subjected to a blast
loading. The p
ME 5139 - Applied Finite Element Method
HW 1: Springs
Due: Thur., Jan. 17, 2013
Intro to the Finite Element Method: The basic concept of the finite element method stems from
determining the stiffness of a structure, applying forces, and solving for displa
M E 5139 - Applied Finite Element Method
HW 2: Bars /Trusses
Due: Thurs , Jan. 24, 2013
Part 1: 1-D Bars
Use ANSYS to calculate the displacement of the nodes, reaction forces at the walls, and the
internal force, stress, and strain in each element.
Part 2
ME 5139 - Applied Finite Element Method
HW 5: Beams
Due: Thurs, Mar. 7, 2013
For the structure shown, use ANSYS to determine
the displacements (linear and rotational) at several locations along the beam,
the reactions at the supports, and
the stress an
Many of you chose to use 1-D bar elements for this part. While you could model it that way to obtain the
deflection of the tensile bar and the stress in each part of the bar, that problem is easily solved by hand
using strength of materials equations. Whe
ME 5139: Applied Finite Element Method
Autumn 2012
Midterm Exam
1
Name: _
2
3
This exam is closed book, closed notes. There are 5 questions, each
equally weighted.
4
5
Total
Useful material properties:
Ealuminum = 10e6 psi
Esteel = 30e6 psi
Useful equatio
1. Problem 3.13 (Checking for problem 1 is at the end of the document)
use the set 2 of constants
h1=50mm h2=45mm h3=25mm L1=400mm L2=500mm L3=300mm F1=1600N F2=800N
From APPENDIX B Table B.2
Aluminum 2014-T6 Youngs Modulus=73.1 GPa Poissons Ratio=0.35
2.