Module 2: Thermal Stresses in a 1D Beam Fixed at Both Ends
|
|
- Conrad Leonard
- 6 years ago
- Views:
Transcription
1 Module 2: Thermal Stresses in a 1D Beam Fixed at Both Ends Table of Contents Problem Description 2 Theory 2 Preprocessor 3 Scalar Parameters 3 Real Constants and Material Properties 4 Geometry 6 Meshing 7 Loads 8 Solution 9 General Postprocessor 9 Results 11 Validation 11 Page Number UCONN ANSYS Module 2 Page 1
2 Problem Description T ref T D y L x Nomenclature: L =250mm Length of beam D =25mm Diameter of beam T =175 C Uniform temperature of beam = 25 C Room Temperature E =205GPa Young s Modulus of ANSI 1030 Steel at Room Temperature =0.30 Poisson s Ratio of Steel = Thermal Expansion (Secant) Coefficient of Steel In this module we will study the thermal stresses resulting from an elevated temperature on a round beam fixed at both ends. We will model the beam using one dimensional BEAM 4 elements and ANSI 1030, a low carbon steel. The theory for this analysis is shown below: Theory Thermal Stress When most materials are heated, they tend to expand. ANSI is isotropic thus the expansion is uniform in all directions. The non-dimensionalized form of this expansion is called thermal strain which is given in the form: Where is the temperature where the reference length of the beam is considered and is a material property known as the Thermal Expansion Coefficient. This constant is called the Secant Coefficient in Mechanical ANSYS APDL. For our beam, when the material tries to expand in the x direction, the fixed supports provide reaction forces to keep the beam at the initial length. These reaction forces result in a net compressive stress on the beam. Using some definitions of axial stress, we can say: Where E is young s modulus. (2.1) (2.2) UCONN ANSYS Module 2 Page 2
3 Substituting equation 2.1 into equation 2.2, we can derive: = MPa (2.3) The yield strength of ANSI 1030 is 441 MPa, so the beam is stressed within the linear elastic limits. If we want to design against buckling, we can check that the load applied from the fixed supports doesn t exceed the critical load for buckling. We will simplify this analysis for the purposes of this tutorial. For more in depth analysis of buckling, see module 3. Buckling Considerations First, we must check to see if the beam is a Euler or Johnson column. The criteria are as follows: ( ) ( ) (2.4) ( ) (2.5) { ( ) ( ) (2.6) Where c = 1 in a conservative evaluation and for a circular beam. Evaluating equation 2.6 we find that ( ). Thus the beam is a Johnson Column. Now that we have classified the beam, we must check to see that the critical buckling load ( is greater than the load applied by the fixed ends. In a Johnson Column: ( ( ) ( )) = 19.7kN (2.7) For axial stress: (2.8) where F is the axial load and for a circular cross section. Thus, in order for no buckling to occur, (2.9) Evaluating the right hand side of equation 2.6, we get 17.7kN. Thus, no buckling occurs. UCONN ANSYS Module 2 Page 3
4 Preprocessor Scalar Parameters First, we will declare some variables in ANSYS that will be used throughout the remainder of the tutorial. 1. Go to Utility Menu -> Parameters -> Scalar Parameters 2. Under Selection type PI=acos(-1). ANSYS has the capability of solving trigonometric functions. After the statement has been written, press ENTER. 3. Repeat step two for the following statements: D = L = 0.25 The screen should look as shown. 4. Click Close 4 2 These variables are stored and can be accessed at any time. Real Constants and Material Properties Element Selection We will be using BEAM 4 in this tutorial. For more information on BEAM 4, see module Go to Main Menu -> Preprocessor -> Element Type -> Add/Edit/Delete 2. Click Add 3. Select Library of Element Types -> Structural Mass -> Beam -> 3D Elastic 3 4. Click OK 5. Click Close UCONN ANSYS Module 2 Page 4
5 Real Constants Now we will enter the cross sectional properties of the beam. 1. Go to Real Constants -> Add/Edit/Delete 2. Click Add 3. Click OK 4. Under AREA enter PI*D*D/4 5. Under IZZ type PI*D*D*D*D/64 6. Click OK 7. Click Close Material Properties 1. Go to Main Menu -> Material Props -> Material Models 2. Go to Structural -> Linear -> Elastic -> Isotropic 3. Under EX enter 205E9 4. Under PRXY enter Click OK Go to Structural -> Thermal Expansion -> Secant Coefficient -> Isotropic 7. Under ALPX enter 11.7E-6 8. Click OK 9. Go to Define Material Model Behavior -> Material -> Exit 7 8 UCONN ANSYS Module 2 Page 5
6 Geometry Keypoints 1. Go to Main Menu -> Preprocessor -> Modeling -> Create -> Keypoints -> on Working Plane 2. Enter 0,0,0 3. Click Apply 4. Repeat steps 3 and 4 for L,0,0 5. Click OK 6. To get rid of the triad go to the Command Prompt and enter: /triad,off /replot The resulting graphic should look as follows: 5 2 Line 1. Go to Main Menu -> Preprocessor -> Modeling -> Create -> Lines -> Straight Line 2. Enter 1,2 this connects a line from keypoint 1 to keypoint 2 3. Click OK The resulting graphic should look as follows: UCONN ANSYS Module 2 Page 6
7 Meshing As we will see later in the results section, linear thermal stresses problems are very accurate in ANSYS. To get the point across, we will mesh the beam with two elements. 1. Go to Main Menu -> Preprocessor -> Meshing -> MeshTool 2. Go to Mesh Tool -> Size Controls: -> Global -> Set 3. Under NDIV enter 2 4. Click OK 5. Click Mesh 6. Click Pick All 7. Click Close Go to Utility Menu -> PlotCtrls -> Numbering 9. Check NODE Node numbers 10. Click OK 11. Go to Utility Menu -> Plot -> Nodes Your mesh should look as follows: UCONN ANSYS Module 2 Page 7
8 Loads Now we will constrain the ends of the beam and select a uniform temperature across the beam. Fixed Ends 1. Go to Main Menu -> Preprocessor -> Loads -> Define Loads -> Apply -> Structural -> Displacement -> On Nodes 2. Enter 1,2 and click OK 3. Under Lab2 DOFs to be constrained click ALL DOF 4. Under Value enter 0 and click OK The resulting picture should look as shown below: Uniform Temperature 1. The default reference temperature in Mechanical ANSYS APDL is 0. If we are working with metric units, the reference temperature is in. If we are in British units, the reference temperature is in. To change the reference temperature to room temperature, go to the Command Prompt and enter MP,REFT,1,25 This sets the reference temperature (REFT) material property (MP) on object 1 (the beam) to You are instructing ANSYS that, at this reference temperature, the object experiences no thermal strain. 2. Go to Main Menu -> Preprocessor -> Loads -> Define Loads -> Apply -> Structural -> Temperature -> On Lines 3. Click Pick All 4. Under VAL1 enter Click OK 6. If an error message appears, 4 ignore it. ANSYS considers temperature to be a degree of 5 freedom at each node. Thus, temperature definitions will be translated to the nodes. This is a more important consideration when a non-uniform temperature distribution is defined, as an interpolation algorithm would be applied across the nodes. UCONN ANSYS Module 2 Page 8
9 Solution 1. Go to Main Menu -> Solution 2. In the Command Prompt type solve and press ENTER in your keyboard. 3. Ignore the warning 4. Almost instantly, the problem will be solved. Click Close in the Note menu. General Postprocessor As in module 1, APDL has trouble graphing contour plots of stress, so we will access the postprocessor results in the list files. To check for buckling, we will first look at the displacement log file. 1. Go to Main Menu -> Postprocessor failure to do so will not allow access to the log files 2. Go to Utility Menu -> List -> Results -> Nodal Solution -> DOF Solution -> Displacement vector sum 3. Click OK As you can see from the chart, there are no displacements in the beam. Thus, no buckling has occurred as expected. Now we will check the forces applied at each node to get the stress distribution in the beam. Using equation 2.8, we can find the axial stress across the beam. 4. Go to Utility Menu -> List -> Results -> Element Solution -> All Available Force Items 5. Click OK UCONN ANSYS Module 2 Page 9
10 The log file should appear as follows: As we can see, the reaction force is uniform across the beam as expected. Using Equation 2.8, the axial stress at each location is MPa. UCONN ANSYS Module 2 Page 10
11 Results Axial Stress Error The percent error (%E) in our model max deflection can be defined as: ( ) = 0% (2.10) Due to quadrature, beam element functions are fourth order accurate. Since thermal stress (equation 2.3) is a first order function, the stresses derived will be 100% accurate every time. Validation UCONN ANSYS Module 2 Page 11
Module 10: Free Vibration of an Undampened 1D Cantilever Beam
Module 10: Free Vibration of an Undampened 1D Cantilever Beam Table of Contents Page Number Problem Description Theory Geometry 4 Preprocessor 6 Element Type 6 Real Constants and Material Properties 7
More informationEXPERIMENT 4: AN ELECTRICAL-THERMAL ACTUATOR
EXPERIMENT 4: AN ELECTRICAL-THERMAL ACTUATOR 1. OBJECTIVE: 1.1 To analyze an electrical-thermal actuator used in a micro-electromechanical system (MEMS). 2. INTRODUCTION 2.1 Introduction to Thermal Actuator
More informationDue Monday, September 14 th, 12:00 midnight
Due Monday, September 14 th, 1: midnight This homework is considering the analysis of plane and space (3D) trusses as discussed in class. A list of MatLab programs that were discussed in class is provided
More informationMATERIAL MECHANICS, SE2126 COMPUTER LAB 2 PLASTICITY
MATERIAL MECHANICS, SE2126 COMPUTER LAB 2 PLASTICITY PART A INTEGRATED CIRCUIT An integrated circuit can be thought of as a very complex maze of electronic components and metallic connectors. These connectors
More informationTransient Thermal Analysis of a Fin
Transient Thermal Analysis of a Fin A cylindrical copper fin conducts heat away from its base at 100 0 C and transfers it to a surrounding fluid at 25 0 C through convection. The convection heat transfer
More informationWorkshop 8. Lateral Buckling
Workshop 8 Lateral Buckling cross section A transversely loaded member that is bent about its major axis may buckle sideways if its compression flange is not laterally supported. The reason buckling occurs
More informationUNIVERSITY OF SASKATCHEWAN ME MECHANICS OF MATERIALS I FINAL EXAM DECEMBER 13, 2008 Professor A. Dolovich
UNIVERSITY OF SASKATCHEWAN ME 313.3 MECHANICS OF MATERIALS I FINAL EXAM DECEMBER 13, 2008 Professor A. Dolovich A CLOSED BOOK EXAMINATION TIME: 3 HOURS For Marker s Use Only LAST NAME (printed): FIRST
More informationAxisymmetric Modeling. This tutorial gives an overview of axisymmetric modeling. Learn how to:
Axisymmetric Modeling I-DEAS Tutorials: Simulation Projects This tutorial gives an overview of axisymmetric modeling. Learn how to: sketch on the XZ plane apply boundary conditions mesh axisymmetric elements
More informationPost Graduate Diploma in Mechanical Engineering Computational mechanics using finite element method
9210-220 Post Graduate Diploma in Mechanical Engineering Computational mechanics using finite element method You should have the following for this examination one answer book scientific calculator No
More informationTwo Tier projects for students in ME 160 class
ME 160 Introduction to Finite Element Method Spring 2016 Topics for Term Projects by Teams of 2 Students Instructor: Tai Ran Hsu, Professor, Dept. of Mechanical engineering, San Jose State University,
More informationMATERIAL MECHANICS, SE2126 COMPUTER LAB 3 VISCOELASTICITY. k a. N t
MATERIAL MECHANICS, SE2126 COMPUTER LAB 3 VISCOELASTICITY N t i Gt () G0 1 i ( 1 e τ = α ) i= 1 k a k b τ PART A RELAXING PLASTIC PAPERCLIP Consider an ordinary paperclip made of plastic, as they more
More informationGeneral elastic beam with an elastic foundation
General elastic beam with an elastic foundation Figure 1 shows a beam-column on an elastic foundation. The beam is connected to a continuous series of foundation springs. The other end of the foundation
More informationMATERIAL MECHANICS, SE2126 COMPUTER LAB 4 MICRO MECHANICS. E E v E E E E E v E E + + = m f f. f f
MATRIAL MCHANICS, S226 COMPUTR LAB 4 MICRO MCHANICS 2 2 2 f m f f m T m f m f f m v v + + = + PART A SPHRICAL PARTICL INCLUSION Consider a solid granular material, a so called particle composite, shown
More informationCritical Load columns buckling critical load
Buckling of Columns Buckling of Columns Critical Load Some member may be subjected to compressive loadings, and if these members are long enough to cause the member to deflect laterally or sideway. To
More informationComposite FEM Lab-work
Composite FEM Lab-work You may perform these exercises in groups of max 2 persons. You may also between exercise 5 and 6. Be critical on the results obtained! Exercise 1. Open the file exercise1.inp in
More informationSoftware Verification
PROGRAM NAME: SAFE 014 EXAMPLE 16 racked Slab Analysis RAKED ANALYSIS METHOD The moment curvature diagram shown in Figure 16-1 depicts a plot of the uncracked and cracked conditions, 1 State 1, and, State,
More informationPlane and axisymmetric models in Mentat & MARC. Tutorial with some Background
Plane and axisymmetric models in Mentat & MARC Tutorial with some Background Eindhoven University of Technology Department of Mechanical Engineering Piet J.G. Schreurs Lambèrt C.A. van Breemen March 6,
More informationModule I: Two-dimensional linear elasticity. application notes and tutorial. Problems
Module I: Two-dimensional linear elasticity application notes and tutorial Problems 53 selected excerpts from Read Me file for: ElemFin 1.1.1 Yannick CALLAUD in Symantec C++. 1 place of Falleron, 44300
More informationQuintic beam closed form matrices (revised 2/21, 2/23/12) General elastic beam with an elastic foundation
General elastic beam with an elastic foundation Figure 1 shows a beam-column on an elastic foundation. The beam is connected to a continuous series of foundation springs. The other end of the foundation
More informationMarch 24, Chapter 4. Deflection and Stiffness. Dr. Mohammad Suliman Abuhaiba, PE
Chapter 4 Deflection and Stiffness 1 2 Chapter Outline Spring Rates Tension, Compression, and Torsion Deflection Due to Bending Beam Deflection Methods Beam Deflections by Superposition Strain Energy Castigliano
More informationThermal Stress Analysis of a Bi- Metallic Plate
WORKSHOP 10 Thermal Stress Analysis of a Bi- Metallic Plate MSC.Nastran 104 Exercise Workbook 10-1 10-2 MSC.Nastran 104 Exercise Workbook WORKSHOP 10 Thermal Stress Analysis of a Bi-Metallic Plate Model
More informationStress and Displacement Analysis of a Rectangular Plate with Central Elliptical Hole
Stress and Displacement Analysis of a Rectangular Plate with Central Elliptical Hole Dheeraj Gunwant, J. P. Singh mailto.dheerajgunwant@gmail.com, jitenderpal2007@gmail.com, AIT, Rampur Abstract- A static
More informationAnalysis of Planar Truss
Analysis of Planar Truss Although the APES computer program is not a specific matrix structural code, it can none the less be used to analyze simple structures. In this example, the following statically
More informationCHAPTER 3 THE EFFECTS OF FORCES ON MATERIALS
CHAPTER THE EFFECTS OF FORCES ON MATERIALS EXERCISE 1, Page 50 1. A rectangular bar having a cross-sectional area of 80 mm has a tensile force of 0 kn applied to it. Determine the stress in the bar. Stress
More informationResponse Spectrum Analysis Shock and Seismic. FEMAP & NX Nastran
Response Spectrum Analysis Shock and Seismic FEMAP & NX Nastran Table of Contents 1. INTRODUCTION... 3 2. THE ACCELEROGRAM... 4 3. CREATING A RESPONSE SPECTRUM... 5 4. NX NASTRAN METHOD... 8 5. RESPONSE
More informationMechanics of Composite Materials, Second Edition Autar K Kaw University of South Florida, Tampa, USA
Mechanics of Composite Materials, Second Edition Autar K Kaw University of South Florida, Tampa, USA What programs are in PROMAL? Master Menu The master menu screen with five separate applications from
More informationSoftware Verification
EXAMPLE 16 racked Slab Analysis RAKED ANALYSIS METHOD The moment curvature diagram shown in Figure 16-1 depicts a plot of the uncracked and cracked conditions, Ψ 1 State 1, and, Ψ State, for a reinforced
More informationNon-linear and time-dependent material models in Mentat & MARC. Tutorial with Background and Exercises
Non-linear and time-dependent material models in Mentat & MARC Tutorial with Background and Exercises Eindhoven University of Technology Department of Mechanical Engineering Piet Schreurs July 7, 2009
More informationLeaf Spring (Material, Contact, geometric nonlinearity)
00 Summary Summary Nonlinear Static Analysis - Unit: N, mm - Geometric model: Leaf Spring.x_t Leaf Spring (Material, Contact, geometric nonlinearity) Nonlinear Material configuration - Stress - Strain
More informationStresses Analysis of Petroleum Pipe Finite Element under Internal Pressure
ISSN : 48-96, Vol. 6, Issue 8, ( Part -4 August 06, pp.3-38 RESEARCH ARTICLE Stresses Analysis of Petroleum Pipe Finite Element under Internal Pressure Dr.Ragbe.M.Abdusslam Eng. Khaled.S.Bagar ABSTRACT
More informationModule 2 Selection of Materials and Shapes. IIT, Bombay
Module Selection of Materials and Shapes Lecture 3 Selection of Materials - II Instructional objectives This is a continuation of the previous lecture. By the end of this lecture, the student will further
More informationN = Shear stress / Shear strain
UNIT - I 1. What is meant by factor of safety? [A/M-15] It is the ratio between ultimate stress to the working stress. Factor of safety = Ultimate stress Permissible stress 2. Define Resilience. [A/M-15]
More informationFinite Element Modelling with Plastic Hinges
01/02/2016 Marco Donà Finite Element Modelling with Plastic Hinges 1 Plastic hinge approach A plastic hinge represents a concentrated post-yield behaviour in one or more degrees of freedom. Hinges only
More informationWorkshop D Structural Analysis. Workbench - Mechanical Introduction 12.0 WS ANSYS, Inc. Proprietary 2009 ANSYS, Inc. All rights reserved.
Workbench - Mechanical Introduction 12.0 Workshop 4.2 2D Structural Analysis WS4.2-1 Workshop 4.2 - Goals Workshop 4.2 consists of a 2 part assembly representing a pressure cap and retaining flange (full
More informationCable Tension APPENDIX D. Objectives: Demonstrate the use of elastic-plastic material properties. Create an enforced displacement on the model.
APPENDIX D Cable Tension Objectives: Demonstrate the use of elastic-plastic material properties. Create an enforced displacement on the model. Run an MSC.Nastran nonlinear static analysis. Create an accurate
More information1 332 Laboratories 1. 2 Computational Exercises 1 FEA of a Cantilever Beam... 1 Experimental Laboratory: Tensile Testing of Materials...
1 332 Laboratories Contents 1 332 Laboratories 1 2 Computational Exercises 1 FEA of a Cantilever Beam.......................................... 1 Experimental Laboratory: Tensile Testing of Materials..........................
More informationLinear Static Analysis of a Cantilever Beam (CBAR Problem)
WORKSHOP 17 Linear Static Analysis of a Cantilever Beam (CBAR Problem) Objectives: Create a geometrical representation of a cantilever beam. Use this geometry model to define an MSC.Nastran analysis model
More informationISHIK UNIVERSITY DEPARTMENT OF MECHATRONICS ENGINEERING
ISHIK UNIVERSITY DEPARTMENT OF MECHATRONICS ENGINEERING QUESTION BANK FOR THE MECHANICS OF MATERIALS-I 1. A rod 150 cm long and of diameter 2.0 cm is subjected to an axial pull of 20 kn. If the modulus
More informationQuestion 1. Ignore bottom surface. Solution: Design variables: X = (R, H) Objective function: maximize volume, πr 2 H OR Minimize, f(x) = πr 2 H
Question 1 (Problem 2.3 of rora s Introduction to Optimum Design): Design a beer mug, shown in fig, to hold as much beer as possible. The height and radius of the mug should be not more than 20 cm. The
More informationLinear Static Analysis of a Cantilever Beam (SI Units)
WORKSHOP 6 Linear Static Analysis of a Cantilever Beam (SI Units) Objectives: Create a geometrical representation of a cantilever beam. Use this geometry model to define an MSC/NASTRAN analysis model comprised
More informationD && 9.0 DYNAMIC ANALYSIS
9.0 DYNAMIC ANALYSIS Introduction When a structure has a loading which varies with time, it is reasonable to assume its response will also vary with time. In such cases, a dynamic analysis may have to
More informationLinear Static Analysis of a Simply-Supported Truss (SI)
APPENDIX C Linear Static Analysis of a Simply-Supported Truss (SI) Objectives: Create a MSC.Nastran model comprised of CROD elements. Prepare a MSC.Nastran input file for a Linear Static analysis. Visualize
More informationME 475 Modal Analysis of a Tapered Beam
ME 475 Modal Analysis of a Tapered Beam Objectives: 1. To find the natural frequencies and mode shapes of a tapered beam using FEA.. To compare the FE solution to analytical solutions of the vibratory
More informationULTIMATE STRENGTH OF SQUARE PLATE WITH RECTANGULAR OPENING UNDER AXIAL COMPRESSION
Journal of Naval Architecture and Marine Engineering June, 2007 http://jname.8m.net ULTIMATE STRENGTH OF SQUARE PLATE WITH RECTANGULAR OPENING UNDER AXIAL COMPRESSION M. Suneel Kumar 1*, P. Alagusundaramoorthy
More informationCOLUMNS: BUCKLING (DIFFERENT ENDS)
COLUMNS: BUCKLING (DIFFERENT ENDS) Buckling of Long Straight Columns Example 4 Slide No. 1 A simple pin-connected truss is loaded and supported as shown in Fig. 1. All members of the truss are WT10 43
More informationProcedure for Performing Stress Analysis by Means of Finite Element Method (FEM)
Procedure for Performing Stress Analysis by Means of Finite Element Method (FEM) Colaboração dos engºs Patrício e Ediberto da Petrobras 1. Objective This Technical Specification sets forth the minimum
More informationAnalysis Of Vibration Characteristics For Annular Disc Cutters
Research Inventy: International Journal Of Engineering And Science Vol.3, Issue 4 (July 2013), PP 32-38 Issn(e): 2278-4721, Issn(p):2319-6483, Www.Researchinventy.Com Analysis Of Vibration Characteristics
More informationThe University of Melbourne Engineering Mechanics
The University of Melbourne 436-291 Engineering Mechanics Tutorial Four Poisson s Ratio and Axial Loading Part A (Introductory) 1. (Problem 9-22 from Hibbeler - Statics and Mechanics of Materials) A short
More informationThe following syntax is used to describe a typical irreducible continuum element:
ELEMENT IRREDUCIBLE T7P0 command.. Synopsis The ELEMENT IRREDUCIBLE T7P0 command is used to describe all irreducible 7-node enhanced quadratic triangular continuum elements that are to be used in mechanical
More information2D Liquefaction Analysis for Bridge Abutment
D Liquefaction Analysis for Bridge Abutment Tutorial by Angel Francisco Martinez Integrated Solver Optimized for the next generation 64-bit platform Finite Element Solutions for Geotechnical Engineering
More informationTRANSVERSE STRESSES IN SHEAR LAG OF BOX-GIRDER BRIDGES. Wang Yuan
TRANSVERSE STRESSES IN SHEAR LAG OF BOX-GIRDER BRIDGES Wang Yuan Bacheloreindwerk Delft University of Technology Faculty of Civil Engineering and Geosciences October 2011 TABLE OF CONTENTS 1 INTRODUCTION...
More informationPES Institute of Technology
PES Institute of Technology Bangalore south campus, Bangalore-5460100 Department of Mechanical Engineering Faculty name : Madhu M Date: 29/06/2012 SEM : 3 rd A SEC Subject : MECHANICS OF MATERIALS Subject
More informationLevel 7 Postgraduate Diploma in Engineering Computational mechanics using finite element method
9210-203 Level 7 Postgraduate Diploma in Engineering Computational mechanics using finite element method You should have the following for this examination one answer book No additional data is attached
More informationCHAPTER 7 FINITE ELEMENT ANALYSIS OF DEEP GROOVE BALL BEARING
113 CHAPTER 7 FINITE ELEMENT ANALYSIS OF DEEP GROOVE BALL BEARING 7. 1 INTRODUCTION Finite element computational methodology for rolling contact analysis of the bearing was proposed and it has several
More informationProject Engineer: Wesley Kinkler Project Number: 4.14 Submission Date: 11/15/2003. TAMUK Truss Company Trusses Made Simple
Submission Date: 11/15/2003 TAMUK Truss Company Trusses Made Simple Table of Contents Introduction..3 Proposal.3 Solution..5 Hand Calculations 5 TRUSS2D 7 NENastran 7 Comparison of Results... 8 Data Analysis.10
More informationMulti Linear Elastic and Plastic Link in SAP2000
26/01/2016 Marco Donà Multi Linear Elastic and Plastic Link in SAP2000 1 General principles Link object connects two joints, i and j, separated by length L, such that specialized structural behaviour may
More informationCivil Engineering Design (1) Design of Reinforced Concrete Columns 2006/7
Civil Engineering Design (1) Design of Reinforced Concrete Columns 2006/7 Dr. Colin Caprani, Chartered Engineer 1 Contents 1. Introduction... 3 1.1 Background... 3 1.2 Failure Modes... 5 1.3 Design Aspects...
More informationTutorial Number 18: Heat transfer analysis of a teapot
Tutorial Number 18: Heat transfer analysis of a teapot Stefano Morlacchi September 2014 T. 01608 811777 F. 01608811770 E.info@ssanalysis.co.uk W. www.ssanalysis.co.uk 1. Introduction In this tutorial,
More informationCOMPUTATIONAL MODELING APPLIED TO THE STUDY OF THERMAL BUCKLING OF COLUMNS
COMPUTATIONAL MODELING APPLIED TO THE STUDY OF THERMAL BUCKLING OF COLUMNS R. da S. Michaello a, D. Helbig b, L. A. O. Rocha b, M. de V. Real c, E. D. dos Santos c, and L. A. Isoldi c a Universidade Federal
More informationCAEFEM v9.5 Information
CAEFEM v9.5 Information Concurrent Analysis Corporation, 50 Via Ricardo, Thousand Oaks, CA 91320 USA Tel. (805) 375 1060, Fax (805) 375 1061 email: info@caefem.com or support@caefem.com Web: http://www.caefem.com
More informationChapter 5. Vibration Analysis. Workbench - Mechanical Introduction ANSYS, Inc. Proprietary 2009 ANSYS, Inc. All rights reserved.
Workbench - Mechanical Introduction 12.0 Chapter 5 Vibration Analysis 5-1 Chapter Overview In this chapter, performing free vibration analyses in Simulation will be covered. In Simulation, performing a
More informationStudy of Contact Behavior in the Pre-squeeze Stage of
Study of Contact Behavior in the Pre-squeeze Stage of Aluminum Alloy Resistance Spot Welding Li. Baoqing, Shan Ping Lian Jinrui, Hu Shengsun Tianjin University, Tianjin, P.R.C Abstract In this paper, an
More information13 Dewatered Construction of a Braced Excavation
Dewatered Construction of a Braced Excavation 13-1 13 Dewatered Construction of a Braced Excavation 13.1 Problem Statement A braced excavation is constructed in saturated ground. The excavation is dewatered
More informationFinite Element Analysis Prof. Dr. B. N. Rao Department of Civil Engineering Indian Institute of Technology, Madras. Module - 01 Lecture - 13
Finite Element Analysis Prof. Dr. B. N. Rao Department of Civil Engineering Indian Institute of Technology, Madras (Refer Slide Time: 00:25) Module - 01 Lecture - 13 In the last class, we have seen how
More informationStress analysis of a stepped bar
Stress analysis of a stepped bar Problem Find the stresses induced in the axially loaded stepped bar shown in Figure. The bar has cross-sectional areas of A ) and A ) over the lengths l ) and l ), respectively.
More informationExample-3. Title. Description. Cylindrical Hole in an Infinite Mohr-Coulomb Medium
Example-3 Title Cylindrical Hole in an Infinite Mohr-Coulomb Medium Description The problem concerns the determination of stresses and displacements for the case of a cylindrical hole in an infinite elasto-plastic
More informationBOOK OF COURSE WORKS ON STRENGTH OF MATERIALS FOR THE 2 ND YEAR STUDENTS OF THE UACEG
BOOK OF COURSE WORKS ON STRENGTH OF MATERIALS FOR THE ND YEAR STUDENTS OF THE UACEG Assoc.Prof. Dr. Svetlana Lilkova-Markova, Chief. Assist. Prof. Dimitar Lolov Sofia, 011 STRENGTH OF MATERIALS GENERAL
More informationFLEXIBILITY METHOD FOR INDETERMINATE FRAMES
UNIT - I FLEXIBILITY METHOD FOR INDETERMINATE FRAMES 1. What is meant by indeterminate structures? Structures that do not satisfy the conditions of equilibrium are called indeterminate structure. These
More informationBending Load & Calibration Module
Bending Load & Calibration Module Objectives After completing this module, students shall be able to: 1) Conduct laboratory work to validate beam bending stress equations. 2) Develop an understanding of
More informationFinite Element Simulation of Bar-Plate Friction Welded Joints Steel Product Subjected to Impact Loading
Finite Element Simulation of Bar-Plate Friction Welded Joints Steel Product Subjected to Impact Loading Yohanes, a,* Muftil Badri, a Panji Adino, a Dodi Sofyan Arief, a and Musthafa Akbar, a a) Department
More informationME 354, MECHANICS OF MATERIALS LABORATORY COMPRESSION AND BUCKLING
ME 354, MECHANICS OF MATERIALS LABATY COMPRESSION AND BUCKLING PURPOSE 01 January 2000 / mgj The purpose of this exercise is to study the effects of end conditions, column length, and material properties
More informationCHAPTER THREE SYMMETRIC BENDING OF CIRCLE PLATES
CHAPTER THREE SYMMETRIC BENDING OF CIRCLE PLATES * Governing equations in beam and plate bending ** Solution by superposition 1.1 From Beam Bending to Plate Bending 1.2 Governing Equations For Symmetric
More informationA PAPER ON DESIGN AND ANALYSIS OF PRESSURE VESSEL
A PAPER ON DESIGN AND ANALYSIS OF PRESSURE VESSEL P.Palanivelu 1, R.Siva Prasad 2, 1 PG Scholar, Department of Mechanical Engineering, Gojan School of Business and Technology, Redhills, Chennai, India.
More informationThis procedure covers the determination of the moment of inertia about the neutral axis.
327 Sample Problems Problem 16.1 The moment of inertia about the neutral axis for the T-beam shown is most nearly (A) 36 in 4 (C) 236 in 4 (B) 136 in 4 (D) 736 in 4 This procedure covers the determination
More informationneeded to buckle an ideal column. Analyze the buckling with bending of a column. Discuss methods used to design concentric and eccentric columns.
CHAPTER OBJECTIVES Discuss the behavior of columns. Discuss the buckling of columns. Determine the axial load needed to buckle an ideal column. Analyze the buckling with bending of a column. Discuss methods
More informationProject. First Saved Monday, June 27, 2011 Last Saved Wednesday, June 29, 2011 Product Version 13.0 Release
Project First Saved Monday, June 27, 2011 Last Saved Wednesday, June 29, 2011 Product Version 13.0 Release Contents Units Model (A4, B4) o Geometry! Solid Bodies! Parts! Parts! Body Groups! Parts! Parts
More informationSTRENGTH OF MATERIALS-I. Unit-1. Simple stresses and strains
STRENGTH OF MATERIALS-I Unit-1 Simple stresses and strains 1. What is the Principle of surveying 2. Define Magnetic, True & Arbitrary Meridians. 3. Mention different types of chains 4. Differentiate between
More informationChapter 5 Elastic Strain, Deflection, and Stability 1. Elastic Stress-Strain Relationship
Chapter 5 Elastic Strain, Deflection, and Stability Elastic Stress-Strain Relationship A stress in the x-direction causes a strain in the x-direction by σ x also causes a strain in the y-direction & z-direction
More informationCourse in. Geometric nonlinearity. Nonlinear FEM. Computational Mechanics, AAU, Esbjerg
Course in Nonlinear FEM Geometric nonlinearity Nonlinear FEM Outline Lecture 1 Introduction Lecture 2 Geometric nonlinearity Lecture 3 Material nonlinearity Lecture 4 Material nonlinearity it continued
More informationLecture Slides. Chapter 4. Deflection and Stiffness. The McGraw-Hill Companies 2012
Lecture Slides Chapter 4 Deflection and Stiffness The McGraw-Hill Companies 2012 Chapter Outline Force vs Deflection Elasticity property of a material that enables it to regain its original configuration
More informationDue Date 1 (for confirmation of final grade): Monday May 10 at 11:59pm Due Date 2 (absolute latest possible submission): Friday May 14 at 5pm
! ME345 Modeling and Simulation, Spring 2010 Case Study 3 Assigned: Friday April 16! Due Date 1 (for email confirmation of final grade): Monday May 10 at 11:59pm Due Date 2 (absolute latest possible submission):
More information1.050: Beam Elasticity (HW#9)
1050: Beam Elasticity (HW#9) MIT 1050 (Engineering Mechanics I) Fall 2007 Instructor: Markus J BUEHER Due: November 14, 2007 Team Building and Team Work: We strongly encourage you to form Homework teams
More informationTutorial 2. SSMA Cee in Compression: 600S F y = 50ksi Objective. A the end of the tutorial you should be able to
CUFSM 2.5 Tutorial 2 SSMA Cee in Compression: 600S200-33 F y = 50ksi Objective To model a typical Cee stud in compression and determine the elastic critical local buckling load (P crl )and elastic critical
More informationJUT!SI I I I TO BE RETURNED AT THE END OF EXAMINATION. THIS PAPER MUST NOT BE REMOVED FROM THE EXAM CENTRE. SURNAME: FIRST NAME: STUDENT NUMBER:
JUT!SI I I I TO BE RETURNED AT THE END OF EXAMINATION. THIS PAPER MUST NOT BE REMOVED FROM THE EXAM CENTRE. SURNAME: FIRST NAME: STUDENT NUMBER: COURSE: Tutor's name: Tutorial class day & time: SPRING
More informationUniversity of Sheffield The development of finite elements for 3D structural analysis in fire
The development of finite elements for 3D structural analysis in fire Chaoming Yu, I. W. Burgess, Z. Huang, R. J. Plank Department of Civil and Structural Engineering StiFF 05/09/2006 3D composite structures
More informationSPECIFIC VERIFICATION Chapter 5
As = 736624/(0.5*413.69) = 3562 mm 2 (ADAPT 3569 mm 2, B29, C6) Data Block 27 - Compressive Stresses The initial compressive strength, f ci, is the strength entered in the Material/Concrete input screen.
More informationOptimum Height of Plate Stiffener under Pressure Effect
The st Regional Conference of Eng. Sci. NUCEJ Spatial ISSUE vol., No.3, 8 pp 459-468 Optimum Height of Plate Stiffener under Pressure Effect Mazin Victor Yousif M.Sc Production Engineering University of
More informationFEA CODE WITH MATLAB. Finite Element Analysis of an Arch ME 5657 FINITE ELEMENT METHOD. Submitted by: ALPAY BURAK DEMIRYUREK
FEA CODE WITH MATAB Finite Element Analysis of an Arch ME 5657 FINITE EEMENT METHOD Submitted by: APAY BURAK DEMIRYUREK This report summarizes the finite element analysis of an arch-beam with using matlab.
More informationFailure and Lifetime Assessment of Welded Stainless Steel Structures via Finite Element Modeling and Variance Based Sensitivity Analysis Methods
Failure and Lifetime Assessment of Welded Stainless Steel Structures via Finite Element Modeling and Variance Based Sensitivity Analysis Methods Presented By SAURABH AGGARWAL Mentors DR. SURENDRA KUMAR
More informationDue Tuesday, September 21 st, 12:00 midnight
Due Tuesday, September 21 st, 12:00 midnight The first problem discusses a plane truss with inclined supports. You will need to modify the MatLab software from homework 1. The next 4 problems consider
More informationComputational Materials Modeling FHLN05 Computer lab
Motivation Computational Materials Modeling FHLN05 Computer lab In the basic Finite Element (FE) course, the analysis is restricted to materials where the relationship between stress and strain is linear.
More informationUNIT I SIMPLE STRESSES AND STRAINS
Subject with Code : SM-1(15A01303) Year & Sem: II-B.Tech & I-Sem SIDDHARTH GROUP OF INSTITUTIONS :: PUTTUR Siddharth Nagar, Narayanavanam Road 517583 QUESTION BANK (DESCRIPTIVE) UNIT I SIMPLE STRESSES
More informationFinite Element Method in Geotechnical Engineering
Finite Element Method in Geotechnical Engineering Short Course on + Dynamics Boulder, Colorado January 5-8, 2004 Stein Sture Professor of Civil Engineering University of Colorado at Boulder Contents Steps
More informationANSYS Mechanical Basic Structural Nonlinearities
Lecture 4 Rate Independent Plasticity ANSYS Mechanical Basic Structural Nonlinearities 1 Chapter Overview The following will be covered in this Chapter: A. Background Elasticity/Plasticity B. Yield Criteria
More informationε t increases from the compressioncontrolled Figure 9.15: Adjusted interaction diagram
CHAPTER NINE COLUMNS 4 b. The modified axial strength in compression is reduced to account for accidental eccentricity. The magnitude of axial force evaluated in step (a) is multiplied by 0.80 in case
More informationName :. Roll No. :... Invigilator s Signature :.. CS/B.TECH (CE-NEW)/SEM-3/CE-301/ SOLID MECHANICS
Name :. Roll No. :..... Invigilator s Signature :.. 2011 SOLID MECHANICS Time Allotted : 3 Hours Full Marks : 70 The figures in the margin indicate full marks. Candidates are required to give their answers
More informationInfluence of residual stresses in the structural behavior of. tubular columns and arches. Nuno Rocha Cima Gomes
October 2014 Influence of residual stresses in the structural behavior of Abstract tubular columns and arches Nuno Rocha Cima Gomes Instituto Superior Técnico, Universidade de Lisboa, Portugal Contact:
More informationF.M. with Finite Element analysis - Different calculation techniques + Numerical examples (ANSYS Apdl) 2/2
Task 6 - Safety Review and Licensing On the Job Training on Stress Analysis F.M. with Finite Element analysis - Different calculation techniques + Numerical examples (ANSYS Apdl) 2/2 Davide Mazzini Ciro
More informationMechanics of Materials II. Chapter III. A review of the fundamental formulation of stress, strain, and deflection
Mechanics of Materials II Chapter III A review of the fundamental formulation of stress, strain, and deflection Outline Introduction Assumtions and limitations Axial loading Torsion of circular shafts
More informationTransactions of the VŠB Technical University of Ostrava, Mechanical Series. article No Roland JANČO *
Transactions of the VŠB Technical University of Ostrava, Mechanical Series No. 1, 013, vol. LIX article No. 1930 Roland JANČO * NUMERICAL AND EXACT SOLUTION OF BUCKLING LOAD FOR BEAM ON ELASTIC FOUNDATION
More information