Strength of Materials. Robert Hooke. Hooke's Law Young's Modulus Stress & Strain Deformation Thermal Effects Analysis ASD vs. LRFD Modes of Failure


 Kelley Campbell
 1 years ago
 Views:
Transcription
1 Architecture 314 Structures I Strength of Materials Hooke's Law Young's Modulus Stress & Strain Deformation Thermal Effects Analysis ASD vs. LRFD Modes of Failure University of Michigan, TCAUP Structures I Slide 1/25 Robert Hooke Hooke, referred to as the Leonardo da Vinci of England, was a prolific engineer, architect and polymath. Barometer Microscope (Micrographia) Pocket watch Universal joint Surveyed London (after fire) Wren s engineer (St Paul s dome) Law of Springs (Hooke s Law) Optics Astronomy (gravity of bodies) Curator of experiments of the Royal Society Portrait by Rita Greer, 2009 University of Michigan, TCAUP Structures I Slide 2/25
2 Hooke's Law Ut tensio sic vis The power of any Spring is in the same proportion with the Tension 1 thereof: That is, if one power stretch or bend it one space, two will bend it two, three will bend it three, and so forward. And this is the Rule or Law of Nature, upon which all manner of Restituent or Springing motion doth proceed. Robert Hooke, De Potentia Restitutiva, 1678 With Cauchy's development of the concept of stress in 1822, Hooke s Law could be rewritten as: Strain is Proportional to Stress 1 The Seventeenth Century meaning of Tension is like the Latin, tensio or our modern word, extension or deformation. University of Michigan, TCAUP Structures I Slide 3/25 Young's Modulus material stiffness Young's Modulus, or the Modulus of Elasticity, is the material constant which generalizes Hooke s Law for any size member. It is obtained by dividing the stress by the strain present in the material. (Thomas Young, 1807) It thus represents a measure of the stiffness of the material. Thomas Young Physics  Physiology  Egyptology University of Michigan, TCAUP Structures I Slide 4/25
3 Young's Modulus Young's Modulus or the Modulus of Elasticity, is obtained by dividing the stress by the strain present in the material. (Thomas Young, 1807) When graphing stress vs strain, the slope is the stiffness of the material. E = 990 ksi E = ksi E = 3600 ksi University of Michigan, TCAUP Structures I Slide 5/25 Stress Stress is the result of some force being applied to an area of some material. Shear Stress University of Michigan, TCAUP Structures I Slide 6/25
4 Strain Strain is the amount of deformation in the material, per unit length. Deformation occurs either in stretching (tension) or in compressing (compression) but not always at the same rate. University of Michigan, TCAUP Structures I Slide 7/25 Deformation Using the stress and the Modulus of Elasticity, the total deformation of an axially loaded member can be determined. Deformation Equation University of Michigan, TCAUP Structures I Slide 8/25
5 Stiffness Deformation = Force x Stiffness Axial Matrix formulation Flexure (constant moment) University of Michigan, TCAUP Structures I Slide 9/25 Strain Calculations The amount of strain deformation is proportional to stress Cable supported span of 866 ft Jack height of 118 ft Cable length 895 ft Neckar Viaduct at Weitingen Engineer Fritz Leonhardt Completed 1978 Span 2952 ft Height 410 ft University of Michigan, TCAUP Structures I Slide 10/25
6 Strain Calculations The amount of strain deformation is proportional to stress University of Michigan, TCAUP Structures I Slide 11/25 Types of Stress Compression Tension Flexure Shear Torsion University of Michigan, TCAUP Structures I Slide 12/25
7 Stress Calculations Find the stress in each material Compression The stress equals the force spread over an area. University of Michigan, TCAUP Structures I Slide 13/25 Stress Calculations FBD reactions University of Michigan, TCAUP Structures I Slide 14/25
8 Stress Calculations The stress equals the force spread over an area. University of Michigan, TCAUP Structures I Slide 15/25 Stress Calculations The stress equals the force spread over an area. University of Michigan, TCAUP Structures I Slide 16/25
9 Stress Calculations The stress equals the force spread over an area. University of Michigan, TCAUP Structures I Slide 17/25 Stress Calculations Shear The stress equals the force spread over an area. University of Michigan, TCAUP Structures I Slide 18/25
10 Stress Calculations Tension The stress equals the force spread over an area. University of Michigan, TCAUP Structures I Slide 19/25 Stress Analysis Allowable Stress Design (ASD) use design loads (no F.S. on loads) reduce stress by a Factor of Safety F.S. Load & Resistance Factored Design (LRFD) Use loads with safety factor Use factor on ultimate strength University of Michigan, TCAUP Structures I Slide 20/25
11 Modes of Failure Strength Tension rupture Compression crushing Stability Column buckling Beam lateral torsional buckling Serviceability Beam deflection Building story drift cracking University of Michigan, TCAUP Structures I Slide 21/25 Thermal Induced Stress The amount of expansion with rising temperature or contraction with falling temperature is described by the coefficient of thermal expansion. If deformation is restrained, the result will be a thermal induced stress in the member. The buildup of thermal stress is often prevented by expansion joints. University of Michigan, TCAUP Structures I Slide 22/25
12 Thermal Induced Stress The amount of expansion with rising temperature or contraction with falling temperature is described by the coefficient of thermal expansion. If deformation is restrained, the result will be a thermal induced stress in the member. The buildup of thermal stress is often prevented by expansion joints. University of Michigan, TCAUP Structures I Slide 23/25 Thermal Induced Deformation Thermal deformation, which results in cracking, is controlled with expansion joints. Crack due to thermal stress Expansion joint in wall University of Michigan, TCAUP Structures I Slide 24/25
13 Thermal Induced Deformation The amount of expansion with rising temperature or contraction with falling temperature is described by the coefficient of thermal expansion. University of Michigan, TCAUP Structures I Slide 25/25
Thermal Stress & Strain. 07 Thermal Stress and Strain Copyright G G Schierle, 200105 press Esc to end, for next, for previous slide 3
Thermal Stress & Strain 07 Thermal Stress and Strain Copyright G G Schierle, 200105 press Esc to end, for next, for previous slide 3 Thermal Stress & Strain 07 Thermal Stress and Strain Copyright G G
More informationType of Force 1 Axial (tension / compression) Shear. 3 Bending 4 Torsion 5 Images 6 Symbol (+ )
Cause: external force P Force vs. Stress Effect: internal stress f 05 Force vs. Stress Copyright G G Schierle, 200105 press Esc to end, for next, for previous slide 1 Type of Force 1 Axial (tension /
More informationbi directional loading). Prototype ten story
NEESR SG: Behavior, Analysis and Design of Complex Wall Systems The laboratory testing presented here was conducted as part of a larger effort that employed laboratory testing and numerical simulation
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 informationHardened Concrete. Lecture No. 14
Hardened Concrete Lecture No. 14 Strength of Concrete Strength of concrete is commonly considered its most valuable property, although in many practical cases, other characteristics, such as durability
More informationLab for Deflection and Moment of Inertia
Deflection and Moment of Inertia Subject Area(s) Associated Unit Lesson Title Physics Wind Effects on Model Building Lab for Deflection and Moment of Inertia Grade Level (1112) Part # 2 of 3 Lesson #
More informationDesign of reinforced concrete columns. Type of columns. Failure of reinforced concrete columns. Short column. Long column
Design of reinforced concrete columns Type of columns Failure of reinforced concrete columns Short column Column fails in concrete crushed and bursting. Outward pressure break horizontal ties and bend
More informationSince the Steel Joist Institute
SELECTING and SPECIFYING Wesley B. Myers, P.E. An insider s guide to selecting and specifying Kseries, LH, DLHseries joists and joist girders Since the Steel Joist Institute adopted the first standard
More informationENGI 8673 Subsea Pipeline Engineering Faculty of Engineering and Applied Science
GUIDANCE NOTE LECTURE 12 THERMAL EXPANSION ANALYSIS OVERVIEW The calculation procedure for determining the longitudinal pipeline response can be formulated on the basis of strain. The longitudinal strain
More informationStress and Deformation Analysis. Representing Stresses on a Stress Element. Representing Stresses on a Stress Element con t
Stress and Deformation Analysis Material in this lecture was taken from chapter 3 of Representing Stresses on a Stress Element One main goals of stress analysis is to determine the point within a loadcarrying
More informationDesign Parameters for Steel Special Moment Frame Connections
SEAOC 2011 CONVENTION PROCEEDINGS Design Parameters for Steel Special Moment Frame Connections Scott M. Adan, Ph.D., S.E., SECB, Chair SEAONC Structural Steel Subcommittee Principal Adan Engineering Oakland,
More informationApproximate Analysis of Statically Indeterminate Structures
Approximate Analysis of Statically Indeterminate Structures Every successful structure must be capable of reaching stable equilibrium under its applied loads, regardless of structural behavior. Exact analysis
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 informationEDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES OUTCOME 2 ENGINEERING COMPONENTS TUTORIAL 1 STRUCTURAL MEMBERS
ENGINEERING COMPONENTS EDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES OUTCOME ENGINEERING COMPONENTS TUTORIAL 1 STRUCTURAL MEMBERS Structural members: struts and ties; direct stress and strain,
More informationDeflections. Question: What are Structural Deflections?
Question: What are Structural Deflections? Answer: The deformations or movements of a structure and its components, such as beams and trusses, from their original positions. It is as important for the
More informationARCHITECTURE. Asst. Prof. Meltem VATAN KAPTAN meltemvatan@aydin.edu.tr
STRUCTURES IN ARCHITECTURE Asst. Prof. Meltem VATAN KAPTAN meltemvatan@aydin.edu.tr Istanbul Aydin University, Faculty of Engineering and Architecture ISTANBUL, TURKEY December 15, 2011  GAZIANTEP If
More informationRetrofitting of RCC Structure WIH Strengthening of Shear Wall with External Post Tensioning Cables
Retrofitting of RCC Structure WIH Strengthening of Shear Wall with External Post Tensioning Cables Yogesh Ghodke, G. R. Gandhe Department of Civil Engineering, Deogiri Institute of Engineering and Management
More informationChapter 5: Tool Dynamometers
Chapter 5: Tool Dynamometers LEARNING OBJECTIVES Different types of transducers used in Dynamometers Design Requirements Types of Dynamometers 
More informationDeflection Prediction for Reinforced Concrete Beams Through Different Effective Moment of Inertia Expressions
Deflection Prediction for Reinforced Concrete Beams Through Different Effective Moment of Inertia Expressions İlker Kalkan Abstract The effective moment of inertia expressions proposed by Branson and Bischoff
More informationIdeal Cable. Linear Spring  1. Cables, Springs and Pulleys
Cables, Springs and Pulleys ME 202 Ideal Cable Neglect weight (massless) Neglect bending stiffness Force parallel to cable Force only tensile (cable taut) Neglect stretching (inextensible) 1 2 Sketch a
More informationDraft Table of Contents. Building Code Requirements for Structural Concrete and Commentary ACI 31814
Draft Table of Contents Building Code Requirements for Structural Concrete and Commentary ACI 31814 BUILDING CODE REQUIREMENTS FOR STRUCTURAL CONCRETE (ACI 318 14) Chapter 1 General 1.1 Scope of ACI 318
More informationABSTRACT 1. INTRODUCTION 2. DESCRIPTION OF THE SEGMENTAL BEAM
Ninth LACCEI Latin American and Caribbean Conference (LACCEI 11), Engineering for a Smart Planet, Innovation, Information Technology and Computational Tools for Sustainable Development, August 3, 11,
More informationStatics of Structural Supports
Statics of Structural Supports TYPES OF FORCES External Forces actions of other bodies on the structure under consideration. Internal Forces forces and couples exerted on a member or portion of the structure
More informationAdvantages of Steel as a Structural Material
CHAPTER Structural Steel Design LRFD Method INTRODUCTION TO STRUCTURAL STEEL DESIGN Third Edition A. J. Clark School of Engineering Department of Civil and Environmental Engineering Part II Structural
More informationIII. Compression Members. Design of Steel Structures. Introduction. Compression Members (cont.)
ENCE 455 Design of Steel Structures III. Compression Members C. C. Fu, Ph.D., P.E. Civil and Environmental Engineering Department University it of Maryland Compression Members Following subjects are covered:
More informationINTRODUCTION TO BEAMS
CHAPTER Structural Steel Design LRFD Method INTRODUCTION TO BEAMS Third Edition A. J. Clark School of Engineering Department of Civil and Environmental Engineering Part II Structural Steel Design and Analysis
More informationARCH 331 Structural Glossary S2014abn. Structural Glossary
Structural Glossary Allowable strength: Nominal strength divided by the safety factor. Allowable stress: Allowable strength divided by the appropriate section property, such as section modulus or cross
More informationAnalysis and Repair of an EarthquakeDamaged Highrise Building in Santiago, Chile
Analysis and Repair of an EarthquakeDamaged Highrise Building in Santiago, Chile J. Sherstobitoff Ausenco Sandwell, Vancouver, Canada P. Cajiao AMEC, Vancouver, Canada P. Adebar University of British
More informationChapter 9 CONCRETE STRUCTURE DESIGN REQUIREMENTS
Chapter 9 CONCRETE STRUCTURE DESIGN REQUIREMENTS 9.1 GENERAL 9.1.1 Scope. The quality and testing of concrete and steel (reinforcing and anchoring) materials and the design and construction of concrete
More information16. BeamandSlab Design
ENDP311 Structural Concrete Design 16. BeamandSlab Design BeamandSlab System How does the slab work? L beams and T beams Holding beam and slab together University of Western Australia School of Civil
More informationBending Stress in Beams
93673600 Bending Stress in Beams Derive a relationship for bending stress in a beam: Basic Assumptions:. Deflections are very small with respect to the depth of the beam. Plane sections before bending
More informationCH 6: Fatigue Failure Resulting from Variable Loading
CH 6: Fatigue Failure Resulting from Variable Loading Some machine elements are subjected to static loads and for such elements static failure theories are used to predict failure (yielding or fracture).
More informationMATERIALS AND MECHANICS OF BENDING
HAPTER Reinforced oncrete Design Fifth Edition MATERIALS AND MEHANIS OF BENDING A. J. lark School of Engineering Department of ivil and Environmental Engineering Part I oncrete Design and Analysis b FALL
More informationSPECIFICATIONS, LOADS, AND METHODS OF DESIGN
CHAPTER Structural Steel Design LRFD Method Third Edition SPECIFICATIONS, LOADS, AND METHODS OF DESIGN A. J. Clark School of Engineering Department of Civil and Environmental Engineering Part II Structural
More informationFOUNDATION DESIGN. Instructional Materials Complementing FEMA 451, Design Examples
FOUNDATION DESIGN Proportioning elements for: Transfer of seismic forces Strength and stiffness Shallow and deep foundations Elastic and plastic analysis Foundation Design 141 Load Path and Transfer to
More informationSEISMIC DESIGN. Various building codes consider the following categories for the analysis and design for earthquake loading:
SEISMIC DESIGN Various building codes consider the following categories for the analysis and design for earthquake loading: 1. Seismic Performance Category (SPC), varies from A to E, depending on how the
More informationDesign of Fully Restrained Moment Connections per AISC LRFD 3rd Edition (2001)
PDHonline Course S154 (4 PDH) Design of Fully Restrained Moment Connections per AISC LRFD 3rd Edition (2001) Instructor: JoseMiguel Albaine, M.S., P.E. 2012 PDH Online PDH Center 5272 Meadow Estates Drive
More informationSECTION 5 ANALYSIS OF CONTINUOUS SPANS DEVELOPED BY THE PTI EDC130 EDUCATION COMMITTEE LEAD AUTHOR: BRYAN ALLRED
SECTION 5 ANALYSIS OF CONTINUOUS SPANS DEVELOPED BY THE PTI EDC130 EDUCATION COMMITTEE LEAD AUTHOR: BRYAN ALLRED NOTE: MOMENT DIAGRAM CONVENTION In PT design, it is preferable to draw moment diagrams
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 informationTechnical Notes 3B  Brick Masonry Section Properties May 1993
Technical Notes 3B  Brick Masonry Section Properties May 1993 Abstract: This Technical Notes is a design aid for the Building Code Requirements for Masonry Structures (ACI 530/ASCE 5/TMS 40292) and Specifications
More informationvulcanhammer.net This document downloaded from
This document downloaded from vulcanhammer.net since 1997, your source for engineering information for the deep foundation and marine construction industries, and the historical site for Vulcan Iron Works
More informationLinear Elastic Cable Model With Creep Proportional to Tension
610 N. Whitney Way, Suite 160 Madison, Wisconsin 53705, USA Phone No: (608) 2382171 Fax No: (608) 2389241 info@powline.com http://www.powline.com Linear Elastic Cable Model With Creep Proportional to
More informationMECHANICAL BEHAVIOR OF REINFORCED CONCRETE BEAMCOLUMN ASSEMBLAGES WITH ECCENTRICITY
13 th World Conference on Earthquake Engineering Vancouver, B.C., Canada August 16, 2004 Paper No. 4 MECHANICAL BEHAVIOR OF REINFORCED CONCRETE BEAMCOLUMN ASSEMBLAGES WITH ECCENTRICITY Tomohiko KAMIMURA
More informationDESIGN OF SLABS. Department of Structures and Materials Engineering Faculty of Civil and Environmental Engineering University Tun Hussein Onn Malaysia
DESIGN OF SLABS Department of Structures and Materials Engineering Faculty of Civil and Environmental Engineering University Tun Hussein Onn Malaysia Introduction Types of Slab Slabs are plate elements
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 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 information1.054/1.541 Mechanics and Design of Concrete Structures (309) Outline 1 Introduction / Design Criteria for Reinforced Concrete Structures
Prof. Oral Buyukozturk Massachusetts Institute of Technology Outline 1 1.054/1.541 Mechanics and Design of Concrete Structures (309) Outline 1 Introduction / Design Criteria for Reinforced Concrete Structures
More information2.0 External and Internal Forces act on structures
2.0 External and Internal Forces act on structures 2.1 Measuring Forces A force is a push or pull that tends to cause an object to change its movement or shape. Magnitude, Direction, and Location The actual
More informationAluminium systems profile selection
Aluminium systems profile selection The purpose of this document is to summarise the way that aluminium profile selection should be made, based on the strength requirements for each application. Curtain
More informationFinite Element Analysis of Elastic Settlement of Spreadfootings Founded in Soil
Finite Element Analysis of Elastic Settlement of Spreadfootings Founded in Soil Jae H. Chung, Ph.D. Bid Bridge Software Institute t University of Florida, Gainesville, FL, USA Content 1. Background 2.
More informationFLEXURAL PERFORMANCE OF RC BEAMS STRENGTHENED WITH PRESTRESSED CFRP SHEETS
FLEXURAL PERFORMANCE OF RC BEAMS STRENGTHENED WITH PRESTRESSED CFRP SHEETS Piyong Yu, Pedro F. Silva, Antonio Nanni Center for Infrastructure and Engineering Studies Department of Civil, Architectural,
More informationKey Words: brick, grout, material properties, mortar, reinforcement, structural clay tile.
Technical Notes 3A  Brick Masonry Material Properties December 1992 Abstract: Brick masonry has a long history of reliable structural performance. Standards for the structural design of masonry which
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 informationPhysics 172H. Lecture 6 BallSpring Model of Solids, Friction. Read
Physics 172H Lecture 6 BallSpring Model of Solids, Friction Read 4.14.8 Model of solid: chemical bonds d radial force (N) 0 F linear If atoms don t move too far away from equilibrium, force looks like
More informationMODULE E: BEAMCOLUMNS
MODULE E: BEAMCOLUMNS This module of CIE 428 covers the following subjects PM interaction formulas Moment amplification Web local buckling Braced and unbraced frames Members in braced frames Members
More informationModule 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method. Version 2 CE IIT, Kharagpur
Module Analysis of Statically Indeterminate Structures by the Matrix Force Method esson 11 The Force Method of Analysis: Frames Instructional Objectives After reading this chapter the student will be able
More informationGreen Thread Product Data
Green Thread Product Data Applications Dilute Acids Caustics Produced Water Industrial Waste Hot Water Condensate Return Materials and Construction All pipe manufactured by filament winding process using
More informationPVC PIPE PERFORMANCE FACTORS
PVC PIPE PERFORMANCE FACTORS PVC pipe, like all flexible pipe products, is very dependent on the surrounding soil for its structural capacity, in addition, the pipe material must have sufficient inherent
More informationAssistant Professor of Civil Engineering, University of Texas at Arlington
FRC Performance Comparison: Direct Tensile Test, Beam Type Bending Test, and Round Panel Test Shih Ho Chao (Presenting Author) Assistant Professor of Civil Engineering, University of Texas at Arlington
More informationDESIGN OF BEAMCOLUMNS  I
13 DESIGN OF BEACOLUNS  I INTRODUCTION Columns in practice rarely experience concentric axial compression alone. Since columns are usually parts of a frame, they experience both bending moment and axial
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 informationPerformancebased Evaluation of the Seismic Response of Bridges with Foundations Designed to Uplift
Performancebased Evaluation of the Seismic Response of Bridges with Foundations Designed to Uplift Marios Panagiotou Assistant Professor, University of California, Berkeley Acknowledgments Pacific Earthquake
More informationComposite Design Fundamentals. David Richardson
Composite Design Fundamentals David Richardson Contents A review of the fundamental characteristics of composites Stiffness and Strength Anisotropic Role of fibre, matrix and interface Composite failure
More informationFatigue :Failure under fluctuating / cyclic stress
Fatigue :Failure under fluctuating / cyclic stress Under fluctuating / cyclic stresses, failure can occur at loads considerably lower than tensile or yield strengths of material under a static load: Fatigue
More informationP4 Stress and Strain Dr. A.B. Zavatsky MT07 Lecture 3 Statically Indeterminate Structures
4 Stress and Strain Dr... Zavatsky MT07 ecture 3 Statically Indeterminate Structures Statically determinate structures. Statically indeterminate structures (equations of equilibrium, compatibility, and
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 informationAdvanced Structural Analysis. Prof. Devdas Menon. Department of Civil Engineering. Indian Institute of Technology, Madras. Module  5.3.
Advanced Structural Analysis Prof. Devdas Menon Department of Civil Engineering Indian Institute of Technology, Madras Module  5.3 Lecture  29 Matrix Analysis of Beams and Grids Good morning. This is
More informationNumerical modelling of shear connection between concrete slab and sheeting deck
7th fib International PhD Symposium in Civil Engineering 2008 September 1013, Universität Stuttgart, Germany Numerical modelling of shear connection between concrete slab and sheeting deck Noémi Seres
More informationSection 5A: Guide to Designing with AAC
Section 5A: Guide to Designing with AAC 5A.1 Introduction... 3 5A.3 Hebel Reinforced AAC Panels... 4 5A.4 Hebel AAC Panel Design Properties... 6 5A.5 Hebel AAC Floor and Roof Panel Spans... 6 5A.6 Deflection...
More informationOptimising plate girder design
Optimising plate girder design NSCC29 R. Abspoel 1 1 Division of structural engineering, Delft University of Technology, Delft, The Netherlands ABSTRACT: In the design of steel plate girders a high degree
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 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 informationBasics of Reinforced Concrete Design
Basics of Reinforced Concrete Design Presented by: Ronald Thornton, P.E. Define several terms related to reinforced concrete design Learn the basic theory behind structural analysis and reinforced concrete
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 information11/1/2010 3:57 PM 1 of 11
Masonry Wall 6.0  MASONRY WALL ANALYSIS AND DESIGN ================================================================================ Job ID : Job Description : Designed By : ================================================================================
More informationDEVELOPMENT OF A NEW TEST FOR DETERMINATION OF TENSILE STRENGTH OF CONCRETE BLOCKS
1 th Canadian Masonry Symposium Vancouver, British Columbia, June 5, 013 DEVELOPMENT OF A NEW TEST FOR DETERMINATION OF TENSILE STRENGTH OF CONCRETE BLOCKS Vladimir G. Haach 1, Graça Vasconcelos and Paulo
More informationFinite Element Simulation of Simple Bending Problem and Code Development in C++
EUROPEAN ACADEMIC RESEARCH, VOL. I, ISSUE 6/ SEPEMBER 013 ISSN 8648, www.euacademic.org IMPACT FACTOR: 0.485 (GIF) Finite Element Simulation of Simple Bending Problem and Code Development in C++ ABDUL
More informationAPPENDIX A FORMULAE AND SAMPLE CALCULATIONS
APPENDIX A FORMULAE AND SAMPLE CALCULATIONS Pipe Installation (Fused) The fused polyethylene (PE) pipe can be pulled by a cable attached to a pulling head fastened to the pipe. This prevents damage to
More informationEDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQF LEVEL 3 OUTCOME 1  LOADING SYSTEMS TUTORIAL 3 LOADED COMPONENTS
EDEXCEL NATIONAL CERTIICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQ LEVEL 3 OUTCOME 1  LOADING SYSTEMS TUTORIAL 3 LOADED COMPONENTS 1. Be able to determine the effects of loading in static engineering
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 informationFIBERGLASS REINFORCED PLASTIC (FRP) PIPING SYSTEMS DESIGNING PROCESS / FACILITIES PIPING SYSTEMS WITH FRP
FIBERGLASS REINFORCED PLASTIC (FRP) PIPING SYSTEMS DESIGNING PROCESS / FACILITIES PIPING SYSTEMS WITH FRP A COMPARISON TO TRADITIONAL METALLIC MATERIALS Prepared by: Kevin Schmit, Project Engineer Specialty
More informationMechanical Properties and Fracture Analysis of Glass. David Dutt Chromaglass, Inc.
Mechanical Properties and Fracture Analysis of Glass David Dutt Chromaglass, Inc. IES ALC Williamsburg 2006 2 IES ALC Williamsburg 2006 3 Outline The Ideal The Practical The Reality IES ALC Williamsburg
More informationBasis of Structural Design
Basis of Structural Design Course 5 Structural action:  Cable structures  Multistorey structures Course notes are available for download at http://www.ct.upt.ro/users/aurelstratan/ Cable structures
More informationBasic principles of steel structures. Dr. Xianzhong ZHAO x.zhao@mail.tongji.edu.cn
Basic principles of steel structures Dr. Xianzhong ZHAO x.zhao@mail.tongji.edu.cn 1 Lecture Questionnaire (1) Language preferred ( C = in Chinese, E = in English) NO. Oral Presentation Writing on the blackboard
More informationجامعة البلقاء التطبيقية
AlBalqa Applied University تا سست عام 997 The curriculum of associate degree in Air Conditioning, Refrigeration and Heating Systems consists of (7 credit hours) as follows: Serial No. Requirements First
More informationMCE380: Measurements and Instrumentation Lab. Chapter 9: Force, Torque and Strain Measurements
MCE380: Measurements and Instrumentation Lab Chapter 9: Force, Torque and Strain Measurements Topics: Elastic Elements for Force Measurement Dynamometers and Brakes Resistance Strain Gages Holman, Ch.
More informationGeneral Overview of PostTensioned Concrete Design
PDHonline Course S127 (2 PDH) General Overview of PostTensioned Concrete Design Instructor: D. Matthew Stuart, P.E., S.E., F.ASCE, F.SEI, SECB, MgtEng 2013 PDH Online PDH Center 5272 Meadow Estates Drive
More informationSLAB DESIGN. Introduction ACI318 Code provides two design procedures for slab systems:
Reading Assignment SLAB DESIGN Chapter 9 of Text and, Chapter 13 of ACI31802 Introduction ACI318 Code provides two design procedures for slab systems: 13.6.1 Direct Design Method (DDM) For slab systems
More informationChapter 5 Bridge Deck Slabs. Bridge Engineering 1
Chapter 5 Bridge Deck Slabs Bridge Engineering 1 Basic types of bridge decks Insitu reinforced concrete deck (most common type) Precast concrete deck (minimize the use of local labor) Open steel grid
More informationdifferent levels, also called repeated, alternating, or fluctuating stresses.
Fatigue and Dynamic Loading 1 Fti Fatigue fil failure: 2 Static ti conditions : loads are applied gradually, to give sufficient i time for the strain to fully develop. Variable conditions : stresses vary
More informationUnit 1: Fire Engineering Science (A/505/6005)
L3D1 THE INSTITUTION OF FIRE ENGINEERS Founded 1918 Incorporated 1924 IFE Level 3 Diploma in Fire Science and Fire Safety (VRQ) Unit 1: Fire Engineering Science (A/505/6005) Friday 13 March 2015 10:15
More informationPrepared For San Francisco Community College District 33 Gough Street San Francisco, California 94103. Prepared By
Project Structural Conditions Survey and Seismic Vulnerability Assessment For SFCC Civic Center Campus 750 Eddy Street San Francisco, California 94109 Prepared For San Francisco Community College District
More informationREINFORCED CONCRETE. Reinforced Concrete Design. A Fundamental Approach  Fifth Edition. Walls are generally used to provide lateral support for:
HANDOUT REINFORCED CONCRETE Reinforced Concrete Design A Fundamental Approach  Fifth Edition RETAINING WALLS Fifth Edition A. J. Clark School of Engineering Department of Civil and Environmental Engineering
More informationSOUTH AFRICAN NATIONAL INSTITUTE OF ROCK MECHANICS CHAMBER OF MINES OF SOUTH AFRICA CERTIFICATE IN ROCK MECHANICS PART 1 ROCK MECHANICS THEORY
SOUTH AFRICAN NATIONAL INSTITUTE OF ROCK MECHANICS CHAMBER OF MINES OF SOUTH AFRICA CERTIFICATE IN ROCK MECHANICS PART 1 ROCK MECHANICS THEORY SYLLABUS Copyright 2006 SANIRE CONTENTS PREAMBLE... 3 TOPICS
More informationMECHANICS OF MATERIALS
T dition CHTR MCHNICS OF MTRIS Ferdinand. Beer. Russell Johnston, Jr. John T. DeWolf ecture Notes: J. Walt Oler Texas Tech University Stress and Strain xial oading  Contents Stress & Strain: xial oading
More informationStress Strain Relationships
Stress Strain Relationships Tensile Testing One basic ingredient in the study of the mechanics of deformable bodies is the resistive properties of materials. These properties relate the stresses to the
More informationNonlinear Models of Reinforced and Posttensioned Concrete Beams
111 Nonlinear Models of Reinforced and Posttensioned Concrete Beams ABSTRACT P. Fanning Lecturer, Department of Civil Engineering, University College Dublin Earlsfort Terrace, Dublin 2, Ireland. Email:
More informationwww.mathsbox.org.uk Displacement (x) Velocity (v) Acceleration (a) x = f(t) differentiate v = dx Acceleration Velocity (v) Displacement x
Mechanics 2 : Revision Notes 1. Kinematics and variable acceleration Displacement (x) Velocity (v) Acceleration (a) x = f(t) differentiate v = dx differentiate a = dv = d2 x dt dt dt 2 Acceleration Velocity
More informationPHY2053: Lecture 12. Elastic Forces  Hooke s Law Work done by elastic forces Elastic Potential Energy Power
PHY2053: Lecture 12 Elastic Forces  Hooke s Law Work done by elastic forces Elastic Potential Energy Power Elastic Forces 2 Hooke s Law Discovered by Robert Hooke cca 1660 ceiiinosssttuv cca 1676 Ut tensio,
More informationModeling and Analysis of Water Tank Stand
IJRMET Vo l. 5, Is s u e 1, No v e m b e r 2014  Ap r i l 2015 Modeling and Analysis of Water Tank Stand 1 M.Chennababu, 2 Dr. V. Krishnareddy 1,2 Krishna Chaitanya Institute of Technology & Sciences,
More information