Module 4: Buckling of 2D Simply Supported Beam


 Marjorie Potter
 2 years ago
 Views:
Transcription
1 Module 4: Buckling of D Simply Supported Beam Table of Contents Page Number Problem Description Theory Geometry 4 Preprocessor 7 Element Type 7 Real Constants and Material Properties 8 Meshing 9 Solution 11 Static Solution 11 Eigenvalue 14 Mode Shape 1 General Postprocessor 1 Results 18 Validation 18 UCONN ANSYS Module Page 1
2 Problem Description: y x Nomenclature: L =00mm b =10mm h =1 mm P=1N E=00,000 Length of beam Cross Section Base Cross Section Height Applied Force =0. Poisson s Ratio of Steel Young s Modulus of Steel at Room Temperature Moment of Inertia This module is a simply supported beam subject to two opposite edge compressions until the material buckles. Buckling is inherently nonlinear, but we linearize the problem through the Eigenvalue method. This solution is an overestimate of the theoretical value since it does not consider imperfections and nonlinearities in the structure such as warping and manufacturing defects. We model the beam with D elements. Theory Buckling load Hooke s Law equates stress as shown: (4.1) Deriving both sides of equation.1 it shows (4.) By solving for equilibrium: (4.) Equation. is a nonlinear equation, however this equation can be linearized using eigenvalues. UCONN ANSYS Module Page
3 Since: (4.4) Then: Plugging in Equation.1 for stress we find: (4.) (4.) Plugging Equation. into Equation., Equation. becomes (4.7) Which is simplifies to: (4.8) By integrating two times Equation.8 becomes (4.9) At the fixed end (x=0), v=0,, thus 0 At the supported end (x=l), v=0,, thus 0 Equation.9 becomes (4.10) Equation. represents the Differential Equation for a Sin Wave (4.11) A and B are arbitrary constants which are calculated based on Boundary Conditions. At the fixed end (x=0), v=0 proving B=0. Equation.11 becomes But A cannot equal zero or this problem is trivial. At the supported end (x=l), v=0 Equation 1 becomes (4.1) (4.1) Since A cannot equal zero, ( ) must equal zero: Sin(nπ)=0 for n=(0, 1,,, 4..) UCONN ANSYS Module Page
4 So: n 0 or it is trivial (4.14) We are interested in finding P which is the Critical Buckling Load. Since n can be any integer greater than zero and a continuous beam has theoretically infinite degrees of freedom there are infinite amount of eigenvalues ( ). Where the lowest Buckling Load is at This is an over estimate so there are certain correction factors (C) to account for this. (C) is dependent on the beam constraints. Where C=1 for a fixedsimply supported beam. So the Critical Buckling Load is (4.1) (4.1) (4.17) = N (4.18) Geometry Opening ANSYS Mechanical APDL 1. On your Windows 7 Desktop click the Start button. Under Search Programs and Files type ANSYS. Click on Mechanical APDL (ANSYS) to start ANSYS. This step may take time. 1 UCONN ANSYS Module Page 4
5 Preferences 1. Go to Main Menu > Preferences. Check the box that says Structural. Click OK 1 Title: To add a title 1. Utility Menu > ANSYS Toolbar > type /prep7 > enter. Utility Menu > ANSYS Toolbar > type /Title, Title Name > enter UCONN ANSYS Module Page
6 Key points Since we will be using D Elements, our goal is to model the length and width of the beam. 1. Go to Main Menu > Preprocessor > Modeling > Create > Keypoints > On Working Plane. Click Global Cartesian. In the box underneath, write: 0,0,0 This will create a keypoint at the Origin. 4. Click Apply. Repeat Steps and 4 for the following points in order: 0,0,10 00,0,10 00,0,0. Click Ok 7. The Triad in the top left corner is blocking keypoint 1. To get rid of the triad, type /triad,off in Utility Menu > Command Prompt 7 8. Go to Utility Menu > Plot > Replot Areas 1. Go to Main Menu > Preprocessor > Modeling > Create > Areas > Arbitrary > Through KPs. Select Pick. Select Min, Max, Inc 4. In the space below, type 1,4,1. If you are familiar with programming, the Min,Max, Inc acts as a FOR loop, connecting nodes 1 through 4 incrementing (Inc) by 1.. Click OK. Go to Plot > Areas 7. Click the Top View tool 4 UCONN ANSYS Module Page
7 Your beam should look as below: Saving Geometry We will be using the geometry we have just created for modules. Thus it would be convenient to save the geometry so that it does not have to be made again from scratch. 1. Go to File > Save As. Under Save Database to pick a name for the Geometry. For this tutorial, we will name the file Buckling simply supported. Under Directories: pick the Folder you would like to save the.db file to. 4. Click OK 4 Preprocessor Element Type 1. Go to Main Menu > Preprocessor > Element Type > Add/Edit/Delete. Click Add. Click Shell > 4node Click OK 4 UCONN ANSYS Module Page 7
8 SHELL181 is suitable for analyzing thin to moderatelythink shell structures. It is a 4node element with six degrees of freedom at each node: translations in the x, y, and z directions, and rotations about the x, y, and zaxes. (If the membrane option is used, the element has translational degrees of freedom only). The degenerate triangular option should only be used as filler elements in mesh generation. This element is wellsuited for linear, large rotation, and/or large strain nonlinear applications. Change in shell thickness is accounted for in nonlinear analyses. In the element domain, both full and reduced integration schemes are supported. SHELL181 accounts for follower (load stiffness) effects of distributed pressures Real Constants and Material Properties Now we will add the thickness to our beam. 1. Go to Main Menu > Preprocessor > Real Constants > Add/Edit/Delete. Click Add. Click OK 4. Under Real Constants for SHELL18 > Shell thickness at node I TK(I) enter 1 for the thickness. Click OK. Click Close 4 UCONN ANSYS Module Page 8
9 Now we must specify Young s Modulus and Poisson s Ratio 1. Go to Main Menu > Preprocessor > Material Props > Material Models. Go to Material Model Number 1 > Structural > Linear > Elastic > Isotropic. Input E for the Young s Modulus (Steel in mm) in EX. 4. Input 0. for Poisson s Ratio in PRXY. Click OK. of Define Material Model Behavior window 4 Meshing 1. Go to Main Menu > Preprocessor > Meshing > Mesh Tool. Go to Size Controls: > Global > Set. Under NDIV No. of element divisions put. This will create a mesh of elements across the smallest thickness, 4 in total. 4. Click OK. Click Mesh. Click Pick All 4 UCONN ANSYS Module Page 9
10 7. Go to Utility Menu > Plot > Nodes 8. Go to Utility Menu > Plot Controls > Numbering 9. Check NODE Node Numbers to ON 10. Click OK 9 10 The resulting graphic should be as shown using the Top View : This is one of the main advantages of ANSYS Mechanical APDL vs ANSYS Workbench in that we can visually extract the node numbering scheme. As shown, ANSYS numbers nodes at the left corner, the right corner, followed by filling in the remaining nodes from left to right. UCONN ANSYS Module Page 10
11 Solution There are two types of solution menus that ANSYS APDL provides; the Abridged solution menu and the Unabridged solution menu. Before specifying the loads on the beam, it is crucial to be in the correct menu. Go to Main Menu > Solution > Unabridged menu This is shown as the last tab in the Solution menu. If this reads Abridged menu you are already in the Unabridged solution menu. Static Solution Analysis Type 1. Go to Main Menu > Solution > Analysis Type > New Analysis. Choose Static. Click OK 4. Go to Main Menu > Solution > Analysis Type >Analysis Options. Under [SSTIF][PSTRES] Stress stiffness or prestress select Prestress ON. Click OK Prestress is the only change necessary in this window and it is a crucial step in obtaining a final result for eigenvalue buckling. UCONN ANSYS Module Page 11
12 Displacement 1. Go to Main Menu > Solution >Define Loads >Apply > Structural >Displacement > On Nodes. Select Min, Max, Inc. In the space below, type 1,,1. If you are familiar with programming, the Min,Max, Inc acts as a FOR loop, connecting nodes 1 through incrementing by 1. This selects the nodes on the far left of the beam 9 4. Click OK. Under Lab DOFs to be constrained select UX, UY and ROTX. Under VALUE Displacement value enter Click OK 8. Go to Main Menu > Solution > Define Loads >Apply >Structural > Displacement > On Nodes 9. Select Pick > Box 10. Box nodes: 4, 4 and 44 (far right nodes) 11. Click OK 1. Under Lab DOFs to be constrained highlight UY and ROTX 1. Under VALUE Displacement value enter Click OK 1. Go to Main Menu > Solution > Define Loads >Apply >Structural > Displacement > On Nodes 1. Select Pick > Single 17. Select nodes and 4 (one node on the left of the beam and one node on the right) 18. Under Lab DOFs to be constrained highlight UZ 19. Under VALUE Displacement value enter 0 UCONN ANSYS Module Page 1
13 0. Click OK This creates the fixed end on the left and roller support on the right, while constraining movement in the Zdirection WARNING: UX, UY and ROTX might already be highlighted, if so, leave UY and ROTX highlighted and click UX to remove it from the selection. Failure to only constrain UY and ROTX will result in incorrect results. Loads 1. Go to Main Menu > Solution > Define Loads > Apply > Structural >Force/Moment > On Nodes. Select Pick > Single > List of Items. In the space provided, type 4. Press OK. 4. Under Direction of force/mom select FX. Under VALUE Force/moment value enter Click OK USEFUL TIP: The force value is only a magnitude of 1 because eigenvalues are calculated by a factor of the load applied, so having a force of 1 will make the eigenvalue answer equal to the critical load. UCONN ANSYS Module Page 1
14 Solve 1. Go to Main Menu > Solution > Solve > Current LS. Go to Main Menu > Finish Eigenvalue 1. Go to Main Menu > Solution > Analysis Type > New Analysis. Choose Eigen Buckling. Click OKGo to Main Menu > Solution > Analysis Type >Analysis Options 4. Under NMODE No. of modes to extract input 4. Click OK. Go to Main Menu > Solution > Solve > Current LS 7. Go to Main Menu > Finish UCONN ANSYS Module Page 14
15 Mode Shape 1. Go to Main Menu > Solution > Analysis Type > ExpansionPass. Click [EXPASS] Expansion pass to ensure this is turned on. Click OK 4. Go to Main Menu > Solution > Load Step Opts > ExpansionPass > Single Expand > Expand Modes. Under NMODE No. of modes to expand input 4. Click OK 7. Go to Main Menu > Solution > Solve > Current LS 8. Go to Main Menu > Finish UCONN ANSYS Module Page 1
16 General Postprocessor Buckling Load Now that ANSYS has solved these three analysis lets extract the lowest eigenvalue. This represents the lowest force to cause buckling. Go to Main Menu > General Postproc > List Results > Detailed Summary Results for Buckling Load: P= N Mode Shape To view the deformed shape of the buckled beam vs. original beam: 1. Go to Main Menu > General Postproc > Read Results > By Pick. Select the lowest Eigenvalue: Set 1 > Click Read UCONN ANSYS Module Page 1
17 . Click Close 4. Go to Main Menu > General Postproc > Plot Results > Deformed Shape. Under KUND Items to be plotted select Def + undeformed. Click OK The graphics area should look as below using the Oblique view: UCONN ANSYS Module Page 17
18 Results The percent error (%E) in our model can be defined as: ( ) = 0.1% This shows that there is no error baseline using one dimensional elements. Validation Critical Buckling Load Theoretical 0 Elements 80 Elements 4 Elements N Percent Error 0%.048% 0.1%.4% This table provides the critical buckling loads and corresponding error from the Theory (Euler), and two different ANSYS results; one with 80 elements and one with 4 elements. This is to prove mesh independence, showing with increasing mesh size, the answer approaches the theoretical value. The results here show that using a coarse mesh of 4 elements creates an unacceptable error. As mesh is refined it converges to a more accurate answer. The eigenvalue buckling method overestimates the real life buckling load. This is due to the assumption of a perfect structure, disregarding flaws and nonlinearities in the material. There is no such thing as a perfect structure so the structure will never actually reach the eigenvalue load that is calculated. Thus, it is important to consider conservative factors of safety into your design for safe measure. UCONN ANSYS Module Page 18
Tutorial for Assignment #2 Gantry Crane Analysis By ANSYS (Mechanical APDL) V.13.0
Tutorial for Assignment #2 Gantry Crane Analysis By ANSYS (Mechanical APDL) V.13.0 1 Problem Description Design a gantry crane meeting the geometry presented in Figure 1 on page #325 of the course textbook
More informationPiston Ring. Problem:
Problem: A castiron piston ring has a mean diameter of 81 mm, a radial height of h 6 mm, and a thickness b 4 mm. The ring is assembled using an expansion tool which separates the split ends a distance
More informationAN INTRODUCTORY ANSYS TUTORIAL: SOLVING A STATIC TRUSS PROBLEM
AN INTRODUCTORY ANSYS TUTORIAL: SOLVING A STATIC TRUSS PROBLEM Rajesh Bhaskaran Cornell University Email: rb88@cornell.edu This is a quickanddirty introductory tutorial to the ANSYS software package
More informationUniversity of Alberta ANSYS Tutorials  www.mece.ualberta.ca/tutorials/ansys/bt/bike/bike.html. Space Frame Example
Space Frame Example Introduction This tutorial was created using ANSYS 7.0 to solve a simple 3D space frame problem. Problem Description The problem to be solved in this example is the analysis of a bicycle
More informationBegin creating the geometry by defining two Circles for the spherical endcap, and Subtract Areas to create the vessel wall.
ME 477 Pressure Vessel Example 1 ANSYS Example: Axisymmetric Analysis of a Pressure Vessel The pressure vessel shown below is made of cast iron (E = 14.5 Msi, ν = 0.21) and contains an internal pressure
More informationCOMPUTATIONAL ENGINEERING OF FINITE ELEMENT MODELLING FOR AUTOMOTIVE APPLICATION USING ABAQUS
International Journal of Advanced Research in Engineering and Technology (IJARET) Volume 7, Issue 2, MarchApril 2016, pp. 30 52, Article ID: IJARET_07_02_004 Available online at http://www.iaeme.com/ijaret/issues.asp?jtype=ijaret&vtype=7&itype=2
More informationTutorial for Assignment #3 Heat Transfer Analysis By ANSYS (Mechanical APDL) V.13.0
Tutorial for Assignment #3 Heat Transfer Analysis By ANSYS (Mechanical APDL) V.13.0 1 Problem Description This exercise consists of an analysis of an electronics component cooling design using fins: All
More informationANSYS TUTORIAL ANSYS 8.1 Analysis of a Spring System. John R. Baker; phone: 2705343114; email: jbaker@engr.uky.edu
Copyright 20012005, John R. Baker ANSYS TUTORIAL ANSYS 8.1 Analysis of a Spring System John R. Baker; phone: 2705343114; email: jbaker@engr.uky.edu This exercise is intended only as an educational tool
More informationABAQUS for CATIA V5 Tutorials
ABAQUS for CATIA V5 Tutorials AFC V2 Nader G. Zamani University of Windsor Shuvra Das University of Detroit Mercy SDC PUBLICATIONS Schroff Development Corporation www.schroff.com www.schroffeurope.com
More informationIntroduction to Solid Modeling Using SolidWorks 2012 SolidWorks Simulation Tutorial Page 1
Introduction to Solid Modeling Using SolidWorks 2012 SolidWorks Simulation Tutorial Page 1 In this tutorial, we will use the SolidWorks Simulation finite element analysis (FEA) program to analyze the response
More informationFinite Element Formulation for Plates  Handout 3 
Finite Element Formulation for Plates  Handout 3  Dr Fehmi Cirak (fc286@) Completed Version Definitions A plate is a three dimensional solid body with one of the plate dimensions much smaller than the
More informationSolved with COMSOL Multiphysics 4.3
Vibrating String Introduction In the following example you compute the natural frequencies of a pretensioned string using the 2D Truss interface. This is an example of stress stiffening ; in fact the
More informationANSYS Tutorial. Modal Analysis
ANSYS Tutorial Slides to accompany lectures in VibroAcoustic Desin in Mechanical Systems 2012 by D. W. Herrin Department of Mechanical Enineerin Lexinton, KY 405060503 Tel: 8592180609 dherrin@enr.uky.edu
More informationANSYS Example: Transient Thermal Analysis of a Pipe Support Bracket
ME 477 Transient Thermal Example 1 ANSYS Example: Transient Thermal Analysis of a Pipe Support Bracket The section of pipe shown below is a representative section of a longer pipe carrying a hot fluid
More informationList of Problems Solved Introduction p. 1 Concept p. 1 Nodes p. 3 Elements p. 4 Direct Approach p. 5 Linear Spring p. 5 Heat Flow p.
Preface p. v List of Problems Solved p. xiii Introduction p. 1 Concept p. 1 Nodes p. 3 Elements p. 4 Direct Approach p. 5 Linear Spring p. 5 Heat Flow p. 6 Assembly of the Global System of Equations p.
More informationShell Elements in ABAQUS/Explicit
ABAQUS/Explicit: Advanced Topics Appendix 2 Shell Elements in ABAQUS/Explicit ABAQUS/Explicit: Advanced Topics A2.2 Overview ABAQUS/Explicit: Advanced Topics ABAQUS/Explicit: Advanced Topics A2.4 Triangular
More informationGetting Started with ANSYS ANSYS Workbench Environment
Getting Started with ANSYS ANSYS Workbench Environment Overview The purpose of this tutorial is to get you started with the ANSYS Workbench environment. We will use a simple, static analysis of a single
More informationThe elements used in commercial codes can be classified in two basic categories:
CHAPTER 3 Truss Element 3.1 Introduction The single most important concept in understanding FEA, is the basic understanding of various finite elements that we employ in an analysis. Elements are used for
More informationABAQUS/CAE Tutorial: Analysis of an Aluminum Bracket
H. Kim FEA Tutorial 1 ABAQUS/CAE Tutorial: Analysis of an Aluminum Bracket Hyonny Kim last updated: August 2004 In this tutorial, you ll learn how to: 1. Sketch 2D geometry & define part. 2. Define material
More informationTutorial #2: LinearStatic Analysis.
Tutorial #2: LinearStatic Analysis. In this tutorial you will analyze two simple structures: A beam and a flat plate. In your homework you will be asked to compare your FEA solutions to theoretical results.
More informationCustomer Training Material. ANSYS Mechanical Basics. Mechanical. ANSYS, Inc. Proprietary 2010 ANSYS, Inc. All rights reserved. WS2.
Workshop 2.1 ANSYS Mechanical Basics Introduction to ANSYS Mechanical WS2.11 Notes on Workshop 2.1 The first workshop is extensively documented. As this course progresses, students will become more familiar
More informationBuckling Analysis of a ThinShell Cylinder
LESSON 14 Buckling Analysis of a ThinShell Cylinder Objectives: Create a geometrical representation of a thinshell cylinder. Use the geometry model to define a MSC/NASTRAN analysis model comprised of
More informationFEA Good Modeling Practices Issues and examples. Finite element model of a dual pinion gear.
FEA Good Modeling Practices Issues and examples Finite element model of a dual pinion gear. Finite Element Analysis (FEA) Good modeling and analysis procedures FEA is a powerful analysis tool, but use
More informationUsing Finite Element software post processing graphics capabilities to enhance interpretation of Finite Element analyses results
Using Finite Element software post processing graphics capabilities to enhance interpretation of Finite Element analyses results Cyrus K. Hagigat College of Engineering The University of Toledo Session
More information1.5 0.5 43 21 0 1 20.5 1.5
Introduction Application of a bearing load (or pin load ) is a frequently encountered situation. There are many ways to simulate this boundary condition through multipoint constraints, regular constraints,
More informationLap Fillet Weld Calculations and FEA Techniques
Lap Fillet Weld Calculations and FEA Techniques By: MS.ME Ahmad A. Abbas Sr. Analysis Engineer Ahmad.Abbas@AdvancedCAE.com www.advancedcae.com Sunday, July 11, 2010 Advanced CAE All contents Copyright
More informationPlates and Shells: Theory and Computation  4D9  Dr Fehmi Cirak (fc286@) Office: Inglis building mezzanine level (INO 31)
Plates and Shells: Theory and Computation  4D9  Dr Fehmi Cirak (fc286@) Office: Inglis building mezzanine level (INO 31) Outline 1! This part of the module consists of seven lectures and will focus
More informationTower Cross Arm Numerical Analysis
Chapter 7 Tower Cross Arm Numerical Analysis In this section the structural analysis of the test tower cross arm is done in Prokon and compared to a full finite element analysis using Ansys. This is done
More informationLinear Static Analysis of a Cantilever Beam Using Beam Library (SI Units)
APPENDIX A Linear Static Analysis of a Cantilever Beam Using Beam Library (SI Units) Objectives: Create a geometric representation of a cantilever beam. Use the geometry model to define an MSC.Nastran
More informationTHERMAL CRACKING RESPONE OF REINFORCED CONCRETE BEAM TO GRADIENT TEMPERATURE
THERMAL CRACKING RESPONE OF REINFORCED CONCRETE BEAM TO GRADIENT TEMPERATURE L. DAHMANI, M.KOUANE Abstract In this paper are illustrated the principal aspects connected with the numerical evaluation of
More informationEmbankment Consolidation
Embankment Consolidation 361 Embankment Consolidation In this tutorial, RS2 is used for a coupled analysis of a road embankment subject to loading from typical daily traffic. Model Start the RS2 9.0 Model
More informationBack to Elements  Tetrahedra vs. Hexahedra
Back to Elements  Tetrahedra vs. Hexahedra Erke Wang, Thomas Nelson, Rainer Rauch CADFEM GmbH, Munich, Germany Abstract This paper presents some analytical results and some test results for different
More informationFinite Element Method (ENGC 6321) Syllabus. Second Semester 20132014
Finite Element Method Finite Element Method (ENGC 6321) Syllabus Second Semester 20132014 Objectives Understand the basic theory of the FEM Know the behaviour and usage of each type of elements covered
More informationInteraction between plate and column buckling
Delft, University of Technology Engineering office of Public works Rotterdam Interaction between plate and column buckling Master Thesis Name: Alex van Ham Student number: 1306138 Email: vanham.alex@gmail.com
More informationFinite Elements for 2 D Problems
Finite Elements for 2 D Problems General Formula for the Stiffness Matrix Displacements (u, v) in a plane element are interpolated from nodal displacements (ui, vi) using shape functions Ni as follows,
More informationAn Overview of the Finite Element Analysis
CHAPTER 1 An Overview of the Finite Element Analysis 1.1 Introduction Finite element analysis (FEA) involves solution of engineering problems using computers. Engineering structures that have complex geometry
More informationInstructors Manual Finite Element Method Laboratory Sessions
Instructors Manual Finite Element Method Laboratory Sessions Dr. Waluyo Adi Siswanto 6 July 2010 Universiti Tun Hussein Onn Malaysia (UTHM) This document is written in LYX 1.6.7 a frontend of LATEX Contents
More informationPROMECHANICA. Lesson One < Structural > Beam Cantilever Beam
PROMECHANICA ProMechanica is a product of PTC. It works with Creo Pro/E in integrated mode to allow users to perform structural and thermal analyses. This tutorial was originally written for UNIX platform,
More informationApplying a circular load. Immediate and consolidation settlement. Deformed contours. Query points and query lines. Graph query.
Quick Start Tutorial 11 Quick Start Tutorial This quick start tutorial will cover some of the basic features of Settle3D. A circular load is applied to a single soil layer and settlements are examined.
More informationPro/ENGINEER Wildfire 2.0 With Integrated Pro/MECHANICA
MAE 244 : Dynamics and Strength Laboratory Fall 2005 Tutorial Material for Pro/ENGINEER Wildfire 2.0 With Integrated Pro/MECHANICA Tutorial 2: Modeling Cantilever Beam and Performing Finite Element Analysis
More informationThe Basics of FEA Procedure
CHAPTER 2 The Basics of FEA Procedure 2.1 Introduction This chapter discusses the spring element, especially for the purpose of introducing various concepts involved in use of the FEA technique. A spring
More informationEFFECTS ON NUMBER OF CABLES FOR MODAL ANALYSIS OF CABLESTAYED BRIDGES
EFFECTS ON NUMBER OF CABLES FOR MODAL ANALYSIS OF CABLESTAYED BRIDGES YangCheng Wang Associate Professor & Chairman Department of Civil Engineering Chinese Military Academy FengShan 83000,Taiwan Republic
More informationFEPC TRUSS ANALYSIS TUTORIAL. 2D Truss Bridge. February, 2000. Copyright 2000 C. E. Knight
FEPC TRUSS ANALYSIS TUTORIAL 2D Truss Bridge February, 2000 Copyright 2000 C. E. Knight PURPOSE OF THE TUTORIAL This tutorial is designed to guide the beginning student in finite element analysis through
More informationMANE 4240/ CIVL 4240: Introduction to Finite Elements. Abaqus Handout
MANE 4240/ CIVL 4240: Introduction to Finite Elements Abaqus Handout Professor Suvranu De Department of Mechanical, Aerospace and Nuclear Engineering Rensselaer Polytechnic Institute Table of Contents
More informationElasticity Theory Basics
G22.3033002: Topics in Computer Graphics: Lecture #7 Geometric Modeling New York University Elasticity Theory Basics Lecture #7: 20 October 2003 Lecturer: Denis Zorin Scribe: Adrian Secord, Yotam Gingold
More informationFinite Element Formulation for Beams  Handout 2 
Finite Element Formulation for Beams  Handout 2  Dr Fehmi Cirak (fc286@) Completed Version Review of EulerBernoulli Beam Physical beam model midline Beam domain in threedimensions Midline, also called
More informationSTATIC AND DYNAMIC ANALYSIS OF CENTER CRACKED FINITE PLATE SUBJECTED TO UNIFORM TENSILE STRESS USING FINITE ELEMENT METHOD
INTERNATIONAL JOURNAL OF MECHANICAL ENGINEERING AND TECHNOLOGY (IJMET) International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 6340(Print), ISSN 0976 6340 (Print) ISSN 0976 6359
More informationNonlinear analysis and formfinding in GSA Training Course
Nonlinear analysis and formfinding in GSA Training Course Nonlinear analysis and formfinding in GSA 1 of 47 Oasys Ltd Nonlinear analysis and formfinding in GSA 2 of 47 Using the GSA GsRelax Solver
More informationCourse in. Nonlinear FEM
Course in Introduction Outline Lecture 1 Introduction Lecture 2 Geometric nonlinearity Lecture 3 Material nonlinearity Lecture 4 Material nonlinearity continued Lecture 5 Geometric nonlinearity revisited
More informationMesh Discretization Error and Criteria for Accuracy of Finite Element Solutions
Mesh Discretization Error and Criteria for Accuracy of Finite Element Solutions Chandresh Shah Cummins, Inc. Abstract Any finite element analysis performed by an engineer is subject to several types of
More information3 Concepts of Stress Analysis
3 Concepts of Stress Analysis 3.1 Introduction Here the concepts of stress analysis will be stated in a finite element context. That means that the primary unknown will be the (generalized) displacements.
More informationNATIONAL TECHNICAL UNIVERSITY OF ATHENS (N.T.U.A.)
NATIONAL TECHNICAL UNIVERSITY OF ATHENS (N.T.U.A.) MECHANICAL ENGINEERING DEPARTMENT LABORATORY OF MACHINES ELEMENTS Ansys Multiphysics (v. 12) tutorial for electrostatic finite element analysis on spur
More informationLearning Module 6 Linear Dynamic Analysis
Learning Module 6 Linear Dynamic Analysis What is a Learning Module? Title Page Guide A Learning Module (LM) is a structured, concise, and selfsufficient learning resource. An LM provides the learner
More informationNonlinear Analysis Using Femap with NX Nastran
Nonlinear Analysis Using Femap with NX Nastran Chip Fricke, Principal Applications Engineer, Agenda Nonlinear Analysis Using Femap with NX Nastran Who am I? Overview of Nonlinear Analysis Comparison of
More informationCourse in. FEM ANSYS Classic
Course in Introduction Introduction Presentation Anders Schmidt Kristensen M.Sc. in Mechanical Eng. from Aalborg University in 1993 Ph.D. in Mechanical Eng. from Aalborg University in 1997 Consultant for
More informationMEMS Multiphysics Simulation in ANSYS Workbench David Harrar II, PhD Ozen Engineering, Inc.
MEMS Multiphysics Simulation in ANSYS Workbench David Harrar II, PhD Ozen Engineering, Inc. 1 Ozen Engineering, Inc. We are the local ANSYS Channel Partner With over 25 years of experience in FEA and CFD
More informationMATERIAL NONLINEAR ANALYSIS. using SolidWorks 2010 Simulation
MATERIAL NONLINEAR ANALYSIS using SolidWorks 2010 Simulation LMST1 Learning Module NonLinear Analysis What is a Learning Module? Title Page Guide A Learning Module (LM) is a structured, concise, and
More informationPRODUCT ENGINEERING OPTIMIZATION USING CATIA V5
PRODUCT ENGINEERING OPTIMIZATION USING CATIA V5 NARENDRA KOMARLA MCME MENTOR Prof. Dr Ing. HB. Woyand Fachgebiet MaschinenbauInformatik CONTENTS 1. Basics of Optimization technique 
More informationValidation of Simulation Results Through Use of DIC Techniques
Validation of Simulation Results Through Use of DIC Techniques Brian Croop and Daniel Roy, DatapointLabs + technical center for materials a DatapointLabs affiliate Materials Testing Data Infrastructure
More informationStability Of Structures: Basic Concepts
23 Stability Of Structures: Basic Concepts ASEN 3112 Lecture 23 Slide 1 Objective This Lecture (1) presents basic concepts & terminology on structural stability (2) describes conceptual procedures for
More informationCAE Finite Element Method
16.810 Engineering Design and Rapid Prototyping Lecture 3b CAE Finite Element Method Instructor(s) Prof. Olivier de Weck January 16, 2007 Numerical Methods Finite Element Method Boundary Element Method
More informationReliable FEModeling with ANSYS
Reliable FEModeling with ANSYS Thomas Nelson, Erke Wang CADFEM GmbH, Munich, Germany Abstract ANSYS is one of the leading commercial finite element programs in the world and can be applied to a large
More informationCATIA V5 FEA Tutorials Releases 12 & 13
CATIA V5 FEA Tutorials Releases 12 & 13 Nader G. Zamani University of Windsor SDC PUBLICATIONS Schroff Development Corporation www.schroff.com www.schroffeurope.com Visit our website to learn more about
More informationGenerative Assembly Structural Analysis
Generative Assembly Structural Analysis Site Map Preface What's New? Getting Started Basic Tasks Workbench Description Index Dassault Systèmes 199499. All rights reserved. Site Map Preface Using This
More informationCHAPTER 3. INTRODUCTION TO MATRIX METHODS FOR STRUCTURAL ANALYSIS
1 CHAPTER 3. INTRODUCTION TO MATRIX METHODS FOR STRUCTURAL ANALYSIS Written by: Sophia Hassiotis, January, 2003 Last revision: February, 2015 Modern methods of structural analysis overcome some of the
More informationVisualization of 2D Domains
Visualization of 2D Domains This part of the visualization package is intended to supply a simple graphical interface for 2 dimensional finite element data structures. Furthermore, it is used as the low
More informationIntroduction to Mechanical Behavior of Biological Materials
Introduction to Mechanical Behavior of Biological Materials Ozkaya and Nordin Chapter 7, pages 127151 Chapter 8, pages 173194 Outline Modes of loading Internal forces and moments Stiffness of a structure
More informationStructural Axial, Shear and Bending Moments
Structural Axial, Shear and Bending Moments Positive Internal Forces Acting Recall from mechanics of materials that the internal forces P (generic axial), V (shear) and M (moment) represent resultants
More informationCustomer Training Material. Parameter Management. Mechanical. ANSYS, Inc. Proprietary 2010 ANSYS, Inc. All rights reserved. WS9.
Workshop 9.1 Parameter Management Introduction to ANSYS Mechanical WS9.11 Goals Goal: Use the Workbench Parameter Workspace to setup multiple scenarios to explore structural responses in the bracket shown.
More informationTutorial: 3D Pipe Junction Using Hexa Meshing
Tutorial: 3D Pipe Junction Using Hexa Meshing Introduction In this tutorial, you will generate a mesh for a threedimensional pipe junction. After checking the quality of the first mesh, you will create
More informationABAQUS Tutorial. 3D Modeling
Spring 2011 01/21/11 ABAQUS Tutorial 3D Modeling This exercise intends to demonstrate the steps you would follow in creating and analyzing a simple solid model using ABAQUS CAE. Introduction A solid undergoes
More informationLearning Module 5 Buckling Analysis
Learning Module 5 Buckling Analysis Title Page Guide What is a Learning Module? A Learning Module (LM) is a structured, concise, and selfsufficient learning resource. An LM provides the learner with the
More informationUnderstand the Sketcher workbench of CATIA V5.
Chapter 1 Drawing Sketches in Learning Objectives the Sketcher WorkbenchI After completing this chapter you will be able to: Understand the Sketcher workbench of CATIA V5. Start a new file in the Part
More informationSolved with COMSOL Multiphysics 4.0a. COPYRIGHT 2010 COMSOL AB.
Permanent Magnet Introduction This example shows how to model the magnetic field surrounding a permanent magnet. It also computes the force with which it acts on a nearby iron rod. Thanks to the symmetry
More information8.2 Elastic Strain Energy
Section 8. 8. Elastic Strain Energy The strain energy stored in an elastic material upon deformation is calculated below for a number of different geometries and loading conditions. These expressions for
More informationSection 3: Nonlinear Analysis
Autodesk Simulation Workshop Section 3: Nonlinear Analysis This section presents the theory and methods used to perform nonlinear analyses using Autodesk Simulation Multiphysics. Nonlinear phenomena can
More informationCosmosWorks Centrifugal Loads
CosmosWorks Centrifugal Loads (Draft 4, May 28, 2006) Introduction This example will look at essentially planar objects subjected to centrifugal loads. That is, loads due to angular velocity and/or angular
More informationTechnical Report Example (1) Chartered (CEng) Membership
Technical Report Example (1) Chartered (CEng) Membership A TECHNICAL REPORT IN SUPPORT OF APPLICATION FOR CHARTERED MEMBERSHIP OF IGEM DESIGN OF 600 (103 BAR) 820MM SELF SEALING REPAIR CLAMP AND VERIFICATION
More informationINJECTION MOLDING COOLING TIME REDUCTION AND THERMAL STRESS ANALYSIS
INJECTION MOLDING COOLING TIME REDUCTION AND THERMAL STRESS ANALYSIS Tom Kimerling University of Massachusetts, Amherst MIE 605 Finite Element Analysis Spring 2002 ABSTRACT A FEA transient thermal structural
More informationA Comparison of All Hexagonal and All Tetrahedral Finite Element Meshes for Elastic and Elastoplastic Analysis
A Comparison of All Hexagonal and All Tetrahedral Finite Element Meshes for Elastic and Elastoplastic Analysis Steven E. Benzley, Ernest Perry, Karl Merkley, Brett Clark Brigham Young University Provo,
More information2.3 Example: creating a model of an overhead hoist with ABAQUS/CAE
The instructions for the examples discussed in this manual will focus on using the Model Tree to access the functionality of ABAQUS/CAE. Menu bar actions will be considered only when necessary (e.g., when
More informationCATIA V5 Tutorials. Mechanism Design & Animation. Release 18. Nader G. Zamani. University of Windsor. Jonathan M. Weaver. University of Detroit Mercy
CATIA V5 Tutorials Mechanism Design & Animation Release 18 Nader G. Zamani University of Windsor Jonathan M. Weaver University of Detroit Mercy SDC PUBLICATIONS Schroff Development Corporation www.schroff.com
More informationNew approaches in Eurocode 3 efficient global structural design
New approaches in Eurocode 3 efficient global structural design Part 1: 3D model based analysis using general beamcolumn FEM Ferenc Papp* and József Szalai ** * Associate Professor, Department of Structural
More informationObjectives. Experimentally determine the yield strength, tensile strength, and modules of elasticity and ductility of given materials.
Lab 3 Tension Test Objectives Concepts Background Experimental Procedure Report Requirements Discussion Objectives Experimentally determine the yield strength, tensile strength, and modules of elasticity
More informationSolved with COMSOL Multiphysics 4.3a
Pratt Truss Bridge Introduction This example is inspired by a classic bridge type called a Pratt truss bridge. You can identify a Pratt truss by its diagonal members, which (except for the very end ones)
More informationIntroduction to COMSOL. The NavierStokes Equations
Flow Between Parallel Plates Modified from the COMSOL ChE Library module rev 10/13/08 Modified by Robert P. Hesketh, Chemical Engineering, Rowan University Fall 2008 Introduction to COMSOL The following
More informationLaminar Flow in a Baffled Stirred Mixer
Laminar Flow in a Baffled Stirred Mixer Introduction This exercise exemplifies the use of the rotating machinery feature in the CFD Module. The Rotating Machinery interface allows you to model moving rotating
More information*Currently employed at UTAS, work for this paper was carried out while the author was formerly employed at MSC Software.
A novel optimization strategy for composite beam type landing gear for light aircraft Edwin Spencer * United Technologies Aerospace Systems 850 Lagoon Drive Chula Vista Ca. 91910 Abstract Composite beam
More informationTutorial for laboratory project #2 Using ANSYS Workbench. For Double Pipe Heat Exchanger
Tutorial for laboratory project #2 Using ANSYS Workbench For Double Pipe Heat Exchanger 1. Preparing ANSYS Workbench Go to Start Menu/All Programs/Simulation/ANSYS 12.1/Workbench. In the toolbox menu in
More informationAN INTRODUCTION TO THE FINITE ELEMENT METHOD FOR YOUNG ENGINEERS
AN INTRODUCTION TO THE FINITE ELEMENT METHOD FOR YOUNG ENGINEERS By: Eduardo DeSantiago, PhD, PE, SE Table of Contents SECTION I INTRODUCTION... 2 SECTION II 1D EXAMPLE... 2 SECTION III DISCUSSION...
More informationWorkshop. Tennis Racket Simulation using Abaqus
Introduction Workshop Tennis Racket Simulation using Abaqus In this workshop you will become familiar with the process of creating a model interactively by using Abaqus/CAE. You will create the tennis
More informationPREDICTION OF MACHINE TOOL SPINDLE S DYNAMICS BASED ON A THERMOMECHANICAL MODEL
PREDICTION OF MACHINE TOOL SPINDLE S DYNAMICS BASED ON A THERMOMECHANICAL MODEL P. Kolar, T. Holkup Research Center for Manufacturing Technology, Faculty of Mechanical Engineering, CTU in Prague, Czech
More informationCHAPTER 4 4 NUMERICAL ANALYSIS
41 CHAPTER 4 4 NUMERICAL ANALYSIS Simulation is a powerful tool that engineers use to predict the result of a phenomenon or to simulate the working situation in which a part or machine will perform in
More informationDesign Analysis and Review of Stresses at a Point
Design Analysis and Review of Stresses at a Point Need for Design Analysis: To verify the design for safety of the structure and the users. To understand the results obtained in FEA, it is necessary to
More informationBurst Pressure Prediction of Pressure Vessel using FEA
Burst Pressure Prediction of Pressure Vessel using FEA Nidhi Dwivedi, Research Scholar (G.E.C, Jabalpur, M.P), Veerendra Kumar Principal (G.E.C, Jabalpur, M.P) Abstract The main objective of this paper
More informationEDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQF LEVEL 3 OUTCOME 1  LOADING SYSTEMS
EDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQF LEVEL 3 OUTCOME 1  LOADING SYSTEMS TUTORIAL 1 NONCONCURRENT COPLANAR FORCE SYSTEMS 1. Be able to determine the effects
More informationAddon Module STEEL EC3. Ultimate Limit State, Serviceability, Fire Resistance, and Stability Analyses According. Program Description
Version December 2014 Addon Module STEEL EC3 Ultimate Limit State, Serviceability, Fire Resistance, and Stability Analyses According to Eurocode 3 Program Description All rights, including those of translations,
More informationCylinder Head Gasket Contact Pressure Simulation for a Hermetic Compressor
Purdue University Purdue epubs International Compressor Engineering Conference School of Mechanical Engineering 2006 Cylinder Head Gasket Contact Pressure Simulation for a Hermetic Compressor Pavan P.
More informationCAE Finite Element Method
16.810 Engineering Design and Rapid Prototyping CAE Finite Element Method Instructor(s) Prof. Olivier de Weck January 11, 2005 Plan for Today Hand Calculations Aero Æ Structures FEM Lecture (ca. 45 min)
More informationAnalysis of Stresses and Strains
Chapter 7 Analysis of Stresses and Strains 7.1 Introduction axial load = P / A torsional load in circular shaft = T / I p bending moment and shear force in beam = M y / I = V Q / I b in this chapter, we
More information