FEA Workshop 1
Solid Mechanics MCEN90026, Semester 2 2022
Poorya Shaghaghi
poorya.shaghaghi@unimelb.edu.au
Ryan Tiew
etiew@student.unimelb.edu.au
Yihang Yu
yihangy@student.unimelb.edu.au
Zhou Fang
zhouf1@student.unimelb.edu.au
Key Dates
• FEA mid-semester test (15%): short test on FE theory
• 16/08/2022, Tuesday
• FEA Modelling Projects (35%): group of (max) 2
people, theory/practice on 2 projects:
• Assignment release date: Wednesday, 17/08/2022
• Assignment deadline: Friday, 21/10/2022
Resources
• Abaqus
• Teaching licence (in all engineering teaching labs): 20,000 nodes
• Abaqus student edition (FREE): 1,000 nodes
Download for free from http://academy.3ds.com/software/simulia/abaqus-student-edition/
• If you have technical doubts on Abaqus:
• Abaqus Documentation: start with the two Get Started with Abaqus;
• https://polymerfem.com/forum.php;
• http://imechanica.org/;
• http://www.eng-tips.com/index.cfm
Learning Outcomes
• Becoming familiar with Abaqus graphical user interface (GUI)
• Steps to create a model in Abaqus
• Creating an interactive 3D model to simulate deformation of
a simply supported beam under uniform load
Workflow in Abaqus
1. Creating geometry (using Part Module)
2. Defining the material and stress-strain relationship (using Material Module)
3. Assembling the created parts (using Assembly Module)
4. Defining the analysis type (Using Step Module)
5. Defining interactions/contacts between the parts (using Interaction
Module)
6. Applying loads and boundary conditions (using Load Module)
7. Determining type/size/shape of elements (using Mesh Module)
8. Running the simulation (using Job Module)
9. Analysing the results (using Visualization Module)
Abaqus CAE GUI
Menu Bar
Main Tools Bar
Model & 3D View
Result Trees Toolbar 3D View
Message and Script Area
Tips 1-Consistency of Units!
Property SI CGS MPA
Mass [kg] [g] [tonne]
Length [m] [cm] [mm]
• Abaqus does Time [s] [s] [s]
not keep Temperature [K] [K] [K]
track of units Velocity [m/s] [cm/s] [mm/s]
Acceleration [m/s^2] [cm/s^2] [mm/s^2]
• Choose one Force [N] [dyn] [N]
consistent set Moment [N*m] [dyn*cm] [N*mm]
of variables Pressure [Pa] [Ba] [MPa]
Density [Kg/m^3] [g/cm^3] [tonne/mm^3]
Energy [J] [erg] [mJ]
Heat Flow [W] [erg/s] [mW]
Tips 2-Save your eyes!
• ABAQUS font size is annoying small:
Viewport Viewport Annotation Options
Triad Set Label Font… Size 14 points Check
everything in Apply to Apply
Trick 3-Mouse Navigation
• To move and rotate your part, click CTRL+ALT+central button
of the mouse and move, and CTRL+ALT+left button of the
mouse and move
• If you prefer Solidworks method:
Tools Options View Manipulation Choose your favourite
3D Beam in Abaqus
DEMONSTRATION
3D Beam in Abaqus
A rectangular cantilever beam is under the action of uniform
distributed load 𝜎𝜎 = 0.5 𝑀𝑀𝑀𝑀𝑀𝑀 on its top face. The left-end
face is fixed as shown in below. The beam is presumed to
be linear elastic and made of steel (𝐸𝐸𝑌𝑌 = 209 𝐺𝐺𝐺𝐺𝐺𝐺, 𝜈𝜈 = 0.3).
The beam dimensions are given.
What is the stress distribution and maximum stress and
displacement in this beam?
Cantilever Beam
• MPA system
𝐿𝐿 = 200 𝑚𝑚𝑚𝑚
𝑤𝑤 = 12.5 𝑀𝑀𝑀𝑀𝑀𝑀 . 𝑚𝑚𝑚𝑚
𝑏𝑏 = 25 𝑚𝑚𝑚𝑚
𝐸𝐸 = 209𝑒𝑒𝑒 𝑀𝑀𝑀𝑀𝑀𝑀
𝜈𝜈 = 0.3
𝑎𝑎 = 20 𝑚𝑚𝑚𝑚 𝑦𝑦 𝑤𝑤𝐿𝐿4 12.5 ∗ 2004
𝑚𝑚𝑚𝑚𝑚𝑚 = = = 0.71 𝑚𝑚𝑚𝑚
8 𝐸𝐸𝐸𝐸 8 ∗ 209𝑒𝑒3 ∗ 16666.67
𝑀𝑀𝑚𝑚𝑚𝑚𝑚𝑚 𝑏𝑏 3 𝑤𝑤𝑙𝑙 2
𝜎𝜎𝑒𝑒 = ± = ± = ±30 Mpa
2𝐼𝐼 4 𝑏𝑏 3
EXERCISE
Ex1: Simply-Supported Beam
• Beam of length l
• Uniform load w
• Boundary conditions for simple-support
• One end is fixed, the other can move along the beam axis
• Rotation is not constrained
Ex1: Simply-Supported Beam
• MPA system
𝑙𝑙 = 1 𝑚𝑚 5 𝑤𝑤𝑙𝑙4 15 𝑤𝑤𝑙𝑙 4
𝑤𝑤 = 5 𝑘𝑘𝑘𝑘/𝑚𝑚 𝑦𝑦𝑚𝑚𝑚𝑚𝑚𝑚 = − = − = −0.59 𝑚𝑚𝑚𝑚
384 𝐸𝐸𝐸𝐸 96 𝐸𝐸𝑏𝑏 4
𝑏𝑏 = 50 𝑚𝑚𝑚𝑚 𝑀𝑀𝑚𝑚𝑚𝑚𝑚𝑚 𝑏𝑏 3 𝑤𝑤𝑙𝑙 2
𝜎𝜎𝑒𝑒 = ± = ± = ±30 Mpa
𝐸𝐸 = 211 𝐺𝐺𝐺𝐺𝐺𝐺 2𝐼𝐼 4 𝑏𝑏 3
𝜈𝜈 = 0.28 𝜎𝜎𝑒𝑒
𝜀𝜀𝑒𝑒 = ± = ±142 � 10−6
𝜎𝜎𝑦𝑦 = 620 𝑀𝑀𝑀𝑀𝑀𝑀 𝐸𝐸
Ex2: Monitor stand
• 6061-T6 Aluminium alloy
• Half stand is modelled
• Mirror-symmetry used
for results
• Supports 14 kg
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