Determining Widespread Fatigue Life in Fastened Aircraft Structure. Simone Fevola New Piper Aircraft, Inc.

Size: px
Start display at page:

Download "Determining Widespread Fatigue Life in Fastened Aircraft Structure. Simone Fevola New Piper Aircraft, Inc."

Transcription

1 Determining Widespread Fatigue Life in Fastened Aircraft Structure Simone Fevola New Piper Aircraft, Inc.

2 Problem Challenges Thin Metal Sheet Analysis Domain Areas of concern hard to recognize at a distance Fatigue Damage is driven by bearing and bypass stresses-at every attachment Areas of concern hard to recognize at a distance Counter-sunk hardware obscures crack initiation sites Modeling holes is labor & resource intensive

3 CAD GEOMETRY:.IGS,.X_T

4 CFD 3d Modeling

5 MSC.Nastran 3-D Global Finite Element Model

6 Case Study Rib to wing skin thickness connections Inputs Loads: Shear Flows & Axial Loads at Cuts

7 inputs P5 are from 3D Fem internal distribution for loads & flows Layer Analysis Determines Spring Forces: Fastener Loads Distribution P1 N11 Q1 N16 N1 N6 BR1 N2 BR2 N3 BR3 N4 BR4 QSKIN1 QSKIN2 QSKIN3 QSKIN4 BR5 BR6 BR7 BR8 N7 N8 N9 Q1 cquad1 Q1 N12 N17 Q2 Q3 Q4 cquad2 N13 N18 cquad3 N14 Q1 Q2 Q2 Q3 Q3 Q4 Q2 Q3 N19 cquad4 TYPICAL FASTENER REPRESENTATION a Na to Nb Kshear b Nb to Nc Kshear c Kshear Na to Nc (Gap Spring) Q4 N5 N10 N15 Q4 N20 layer gap skin layer rib cap doubler rib quad layer

8 StressCheck P-elements Typical acreage problem: First three skin holes at each rib S1 By-Pass Stresses S1,S2,Sxy with cosine bearing in holes Sxy S2 S2+ Sxy Free edge of skin Rib Sta. StressCheck Solution for Principle Stress

9 StressCheck solution:raised Stress (3.8 g maneuver) S1 Raised= psi Solution error.24%

10 StressCheck Solution: 17 % csink effect 1145 psi at interior 979 psi at inner surface

11 NUEBER-HEYWOOD Notch Sensitivity Correction Equation Kt = UNCORRECTED RAISED STRESS CONCENTRATION Ka = NOTCH SENSITIVITY CORRECTED RAISED STRESS R= RADIUS OF THE NOTCH A=MATERIAL CONSTANT (IN), HALF WIDTH OF ELEMENTARY BLOCKS FOR ALUMINUM SHEET: 3 3 A = K a = F 1+ TU 2 K = K t K t t A R =. 058

12 Accuracy of Notch Equation life prediction for sheet: Ref. Landers & Hardrath R d D TEST DATA VS PREDICTION +/- 10 % life prediction for aluminum sheet based on notch equation reduces required scatter.0312 Diameter Not A Practical size hole

13 APPARENT RAISED STRESS AND STRESS CONCENTRATION FOR CURRENT PROBLEM, APPARENT RAISED STRESS= x 1.17 csink factor Kt = APPARENT RAISED STRESS BY-PASS STRESS = = 8.59

14 NUEBER-HEYWOOD FACTOR K a = = 6.29 NUEBER HEYWOOD RAISED STRESS PER G: = 24622

15 Un-notched Mean Fatigue Data

16 Corrected Notched Life & Widespread Crack Initiation This Fatigue analysis is based upon DOT/FAA AFS Report Output from ACE100-1, Version 1.0, Mar Airplane Class/Usage and other relevant data is as follows: NOTE: USER INPUT USAGE DATA USED FOR THIS ANALYSIS Airplane: Run No.: 1 Airplane Total Fatigue Damage and Unfactored Fatigue Life is determined for the following Flight Condition: Average True Air Speed : Knots Summary of Damage Calculations: Flight Segment Damage/1000 Hrs. Taxi : 0.141E-25 Gust : 0.572E-01 Maneuver : 0.251E-01 Landing: Impact : 0.363E-06 Rebound : 0.156E-07 GAG Cycle : 0.227E-02 Positive Gust Limit Load Factor : 3.37 Negative Gust Limit Load Factor : Positive Maneuver Limit Load Factor : 3.80 Negative Maneuver Limit Load Factor : Flight Stress - f(g), psi : 0.0 (+) *g Ground Min. Stress - f(g), psi : 0.0 (+) *g Average Endurance per Flight : 1.10 Hours Endurance Limit for neglecting damage : Cycles Material S-N data from : User input Load spectrum data is : User input Appropriate Spectrum Un-notched Data Used TOTAL DAMAGE : 0.846E-01 Unfactored Fatigue Life : Hours WIDESPREAD FATIGUE CRACK INITIATION AT +- 10% OR +13,008 to HRS

17 Stress at a deemed critical point versus Time and Cost Stress at any critical point Analysis A Analysis B Analysis C Analysis D Most accurate Solution for stress distribution Time (Man hours + Machine Time) to adequate solution, Cost $$$

18 Stress at a deemed critical point versus Modeling Experience Stress at any critical point Analysis A Analysis B Analysis C Analysis D Most accurate Solution for stress distribution Redundant Analysis and Modeling Experience

19 What we have learned With MSC products, we are able to construct & model global gross stress type acreage structure in historical record breaking times on our desktops. Include fastener representations in the 3D FEM for critical areas. (avoid separate uncoupled analyses) Use model spacing characteristic of required fastener spacing. Set realistic design parameters, fastener spacing, pitch, diameter to address widespread fatigue requirements. Importance of maximizing bonded structure to eliminate stress concentrations. Train experienced FEM analysts for thin domain type structure

Load and Stress Spectrum Generation

Load and Stress Spectrum Generation Load and Stress Spectrum Generation During 1962, at the request of the FAA, and upon recommendation of the National Aeronautics and Space Administration (NASA) Committee on Aircraft Operating Problems,

More information

9.4 Life Sensitivity for Stress Effects

9.4 Life Sensitivity for Stress Effects 9.4 Life Sensitivity for Stress Effects The fatigue crack growth life of structural components is significantly affected by the level of applied (repeating) stress and the initial crack size. This section

More information

Random Variables. Gust and Maneuver Loads

Random Variables. Gust and Maneuver Loads Random Variables An overview of the random variables was presented in Table 1 from Load and Stress Spectrum Generation document. Further details for each random variable are given below. Gust and Maneuver

More information

Full Scale Structural Durability Test Spectrum Reduction by Truncation Coupon Testing

Full Scale Structural Durability Test Spectrum Reduction by Truncation Coupon Testing Full Scale Structural Durability Test Spectrum Reduction by Truncation Coupon Testing Ogewu C. Agbese F-16/F-22 IFG Service Life Analysis Lockheed Martin Aeronautics Fort Worth, TX, USA ogewu.c.agbese@lmco.com

More information

Thermal modelling of the Wing Anti Ice System in modern aircrafts

Thermal modelling of the Wing Anti Ice System in modern aircrafts Advanced Computational Methods and Experiments in Heat Transfer XII 305 Thermal modelling of the Wing Anti Ice System in modern aircrafts D. Labuhn 1 & M. Logeais 2 1 Thermal Technology Centre, Airbus,

More information

C-130 Usage/Environmental Criteria Analysis and Gust Loads Assessment

C-130 Usage/Environmental Criteria Analysis and Gust Loads Assessment C-130 Usage/Environmental Criteria Analysis and Gust Loads Assessment Dr. Suresh Moon Titan (an L3 Communications Company) Mr. Chance McColl Technical Data Analysis, Inc. Mr. Nam Phan NAVAIR Structures

More information

Two Tier projects for students in ME 160 class

Two 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 information

Kul Aircraft Structural Design (4 cr) Fatigue Analyses

Kul Aircraft Structural Design (4 cr) Fatigue Analyses Kul-34.4300 Aircraft Structural Design (4 cr) M Kanerva 2016 Objective and Contents of the Module The objective of the module is to describe (1) how aircraft fatigue analyses are performed and (2) how

More information

Probabilistic Fatigue and Damage Tolerance Analysis for General Aviation

Probabilistic Fatigue and Damage Tolerance Analysis for General Aviation Probabilistic Fatigue and Damage Tolerance Analysis for General Aviation Probabilistic fatigue and damage tolerance tool for the Federal Aviation Administration to perform risk analysis Juan D. Ocampo

More information

Finite Element Method analysis and Life Estimation of aircraft structure Fatigue/Fracture Critical Location

Finite Element Method analysis and Life Estimation of aircraft structure Fatigue/Fracture Critical Location Finite Element Method analysis and Life Estimation of aircraft structure Fatigue/Fracture Critical Location 2001-88 Park Jeong Kyu, Lee Doo Han, Lee Cheol Jae, Chung Bong Cheul, Chun Kyu Tae (Korea Aerospace

More information

Damage Tolerance Design

Damage Tolerance Design Damage Tolerance Design Damage Tolerance Design for Wing Components Procedure Standardization Bernardo Vilhena Gavinho Lourenço ABSTRACT: Fatigue analysis of mechanical components, in many cases, leads

More information

Sample Questions for the ME328 Machine Design Final Examination Closed notes, closed book, no calculator.

Sample Questions for the ME328 Machine Design Final Examination Closed notes, closed book, no calculator. Sample Questions for the ME328 Machine Design Final Examination Closed notes, closed book, no calculator. The following is from the first page of the examination. I recommend you read it before the exam.

More information

Tracker Tower 01 Prototype Test & Analysis Overview

Tracker Tower 01 Prototype Test & Analysis Overview Tracker Tower 01 Prototype Test & Analysis Overview Erik Swensen June 19, 2002 HPS-102070-0002 Test Background Design Philosophy: Tracker Tower 01 Prototype was used as an engineering evaluation model

More information

Introduction to Aerospace Engineering

Introduction to Aerospace Engineering Introduction to Aerospace Engineering Lecture slides Challenge the future 1 Aircraft & spacecraft loads Translating loads to stresses Faculty of Aerospace Engineering 29-11-2011 Delft University of Technology

More information

Strength Prediction Of Composite Laminate

Strength Prediction Of Composite Laminate Strength Prediction Of Composite te Prof. Yogananda. A 1, Mr. R. Vijayakumar 2 Assistant Professor, Department of Mechanical Engineering, East West Institute of Technology, Bangalore. Research Scholar,

More information

Aircraft Structures Design Example

Aircraft Structures Design Example University of Liège Aerospace & Mechanical Engineering Aircraft Structures Design Example Ludovic Noels Computational & Multiscale Mechanics of Materials CM3 http://www.ltas-cm3.ulg.ac.be/ Chemin des Chevreuils

More information

CHAPTER 8 SCREWS, FASTENERS, NONPERMANENT JOINTS

CHAPTER 8 SCREWS, FASTENERS, NONPERMANENT JOINTS CHAPTER 8 SCREWS, FASTENERS, NONPERMANENT JOINTS This chapter deals with the design and analysis of nonpermanent fasteners such as bolts, power screws, cap screws, setscrews, eys and pins. 8- Standards

More information

Thermal Analysis of Fairchild Dornier 728Jet Wing/Fuselage Interface using MSC.Patran Thermal. Paper number D. Konopka, J. Hyer, A.

Thermal Analysis of Fairchild Dornier 728Jet Wing/Fuselage Interface using MSC.Patran Thermal. Paper number D. Konopka, J. Hyer, A. 2001-32 Thermal Analysis of Fairchild Dornier 728Jet Wing/Fuselage Interface using MSC.Patran Thermal Paper number 2001-32 D. Konopka, J. Hyer, A. Schönrock Fairchild Dornier GmbH PO Box 1103 82230 Wessling

More information

DESIGN FOR FATIGUE STRENGTH

DESIGN FOR FATIGUE STRENGTH UNIT 3 DESIGN FOR FATIGUE STRENGTH Instructional Objectives Mean and variable stresses and endurance limit. S-N plots for metals and non-metals and relation between endurance limit and ultimate tensile

More information

1.103 CIVIL ENGINEERING MATERIALS LABORATORY (1-2-3) Dr. J.T. Germaine Spring 2004 LABORATORY ASSIGNMENT NUMBER 6

1.103 CIVIL ENGINEERING MATERIALS LABORATORY (1-2-3) Dr. J.T. Germaine Spring 2004 LABORATORY ASSIGNMENT NUMBER 6 1.103 CIVIL ENGINEERING MATERIALS LABORATORY (1-2-3) Dr. J.T. Germaine MIT Spring 2004 LABORATORY ASSIGNMENT NUMBER 6 COMPRESSION TESTING AND ANISOTROPY OF WOOD Purpose: Reading: During this laboratory

More information

Photoelasticity. Photoelasticity is a visual method for viewing the full field stress distribution in a photoelastic material.

Photoelasticity. Photoelasticity is a visual method for viewing the full field stress distribution in a photoelastic material. Photoelasticity Photoelasticity is a visual method for viewing the full field stress distribution in a photoelastic material. www.measurementsgroup.com Photoelasticity (Continued) When a photoelastic material

More information

Flight and Orbital Mechanics

Flight and Orbital Mechanics Flight and Orbital Mechanics Lecture slides Challenge the future 1 Flight and Orbital Mechanics Lecture 7 Equations of motion Mark Voskuijl Semester 1-2012 Delft University of Technology Challenge the

More information

Principles Of Engineering. Part A

Principles Of Engineering. Part A Principles Of Engineering Final Examination Part A Fall 2007 Student Name: Date: Class Period: Total Points: /40 Converted Score: /50 Page 1 of 11 Directions: Circle the letter of the response that best

More information

MEMS Project 2 Assignment. Design of a Shaft to Transmit Torque Between Two Pulleys

MEMS Project 2 Assignment. Design of a Shaft to Transmit Torque Between Two Pulleys MEMS 029 Project 2 Assignment Design of a Shaft to Transmit Torque Between Two Pulleys Date: February 5, 206 Instructor: Dr. Stephen Ludwick Product Definition Shafts are incredibly important in order

More information

The University of Melbourne Engineering Mechanics

The 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 information

Torsion of Solid Sections. Introduction

Torsion of Solid Sections. Introduction Introduction Torque is a common load in aircraft structures In torsion of circular sections, shear strain is a linear function of radial distance Plane sections are assumed to rotate as rigid bodies These

More information

TUTORIAL SHEET 1. magnitude of P and the values of ø and θ. Ans: ø =74 0 and θ= 53 0

TUTORIAL SHEET 1. magnitude of P and the values of ø and θ. Ans: ø =74 0 and θ= 53 0 TUTORIAL SHEET 1 1. The rectangular platform is hinged at A and B and supported by a cable which passes over a frictionless hook at E. Knowing that the tension in the cable is 1349N, determine the moment

More information

5. Repeated Loading. 330:148 (g) Machine Design. Dynamic Strength. Dynamic Loads. Dynamic Strength. Dynamic Strength. Nageswara Rao Posinasetti

5. Repeated Loading. 330:148 (g) Machine Design. Dynamic Strength. Dynamic Loads. Dynamic Strength. Dynamic Strength. Nageswara Rao Posinasetti 330:48 (g) achine Design Nageswara Rao Posinasetti P N Rao 5. Repeated Loading Objectives Identify the various kinds of loading encountered on a part and learn to combine them as appropriate. Determine

More information

FATIGUE DESIGN PROCEDURE OF LONGITUDINAL AND TRANSVERSE FUSELAGE JOINTS

FATIGUE DESIGN PROCEDURE OF LONGITUDINAL AND TRANSVERSE FUSELAGE JOINTS 28 TH INTERNATIONAL CONGRESS OF THE AERONAUTICAL SCIENCES FATIGUE DESIGN PROCEDURE OF LONGITUDINAL AND TRANSVERSE FUSELAGE JOINTS Basov V.N. and Dr Pankov A.V TsAGI andrey.pankov@tsagi.ru eywords: fatigue,

More information

EVAPRED A CODE FOR FATIGUE ANALYSIS OPTIMIZATION

EVAPRED A CODE FOR FATIGUE ANALYSIS OPTIMIZATION EVAPRED A CODE FOR FATIGUE ANALYSIS OPTIMIZATION Dorin LOZICI-BRÎNZEI, INCAS, lozicid@incas.ro Simion TǍTARU, INCAS, sitataru@incas.ro DOI: 10.13111/2066-8201.2010.2.1.4 Abstract The fatigue can be, in

More information

Numerical Simulation of Fatigue Crack Growth: Cohesive Zone Models vs. XFEM

Numerical Simulation of Fatigue Crack Growth: Cohesive Zone Models vs. XFEM Numerical Simulation of Fatigue Crack Growth: Cohesive Zone Models vs. XFEM Thomas Siegmund Purdue University 1 Funding JOINT CENTER OF EXCELLENCE for ADVANCED MATERIALS, FAA Cooperative Agreement 04-C-AM-PU.

More information

Kul Aircraft Structural Design (4 cr) Fatigue Analyses (3/3)

Kul Aircraft Structural Design (4 cr) Fatigue Analyses (3/3) Kul-34.4300 Aircraft Structural Design (4 cr) (3/3) M Kanerva 016 Objective and Contents of the Module The objective of the module is to describe (1) how aircraft fatigue analyses are performed and ()

More information

Fracture mechanics fundamentals. Stress at a notch Stress at a crack Stress intensity factors Fracture mechanics based design

Fracture mechanics fundamentals. Stress at a notch Stress at a crack Stress intensity factors Fracture mechanics based design Fracture mechanics fundamentals Stress at a notch Stress at a crack Stress intensity factors Fracture mechanics based design Failure modes Failure can occur in a number of modes: - plastic deformation

More information

Model-Assisted Probability of Detection for Ultrasonic Structural Health Monitoring

Model-Assisted Probability of Detection for Ultrasonic Structural Health Monitoring 4th European-American Workshop on Reliability of NDE - Th.2.A.2 Model-Assisted Probability of Detection for Ultrasonic Structural Health Monitoring Adam C. COBB and Jay FISHER, Southwest Research Institute,

More information

JCSS Workshop on Semiprobabilistic FEM Calculations, Delft, 1&2 December 2009

JCSS Workshop on Semiprobabilistic FEM Calculations, Delft, 1&2 December 2009 Delft JCSS Workshop on Semiprobabilistic FEM Calculations, Delft, 1&2 December 2009 Nonlinear Finite Element Analysis of Concrete Structures given the deterministic parameters of loads, geometry and material

More information

Massachusetts Institute of Technology Department of Mechanical Engineering Cambridge, MA 02139

Massachusetts Institute of Technology Department of Mechanical Engineering Cambridge, MA 02139 Massachusetts Institute of Technology Department of Mechanical Engineering Cambridge, MA 02139 2.002 Mechanics and Materials II Spring 2004 Laboratory Module No. 6 Fracture Toughness Testing and Residual

More information

ASME SECTION III STRESS ANALYSIS OF A HEAT EXCHANGER TUBESHEET WITH A MISDRILLED HOLE AND IRREGULAR OR THIN LIGAMENTS

ASME SECTION III STRESS ANALYSIS OF A HEAT EXCHANGER TUBESHEET WITH A MISDRILLED HOLE AND IRREGULAR OR THIN LIGAMENTS Proceedings of the ASME 2013 Pressure Vessels and Piping Conference PVP2013 July 14-18, 2013, Paris, France PVP2013-97075 ASME SECTION III STRESS ANALYSIS OF A HEAT EXCHANGER TUBESHEET WITH A MISDRILLED

More information

Endurance Strength Pg 274

Endurance Strength Pg 274 [Pg / 8] Fatigue Analysis Pg 257 The Units used as standard: in, kip, kpsi, sec, hp in, kip, kpsi, sec/min, hp Endurance Strength Pg 274 Fatigue failure occurs when a machine element is sujected to fluctuating

More information

Fatigue Crack Analysis on the Bracket of Sanding Nozzle of CRH5 EMU Bogie

Fatigue Crack Analysis on the Bracket of Sanding Nozzle of CRH5 EMU Bogie Journal of Applied Mathematics and Physics, 2015, 3, 577-583 Published Online May 2015 in SciRes. http://www.scirp.org/journal/jamp http://dx.doi.org/10.4236/jamp.2015.35071 Fatigue Crack Analysis on the

More information

(48) CHAPTER 3: TORSION

(48) CHAPTER 3: TORSION (48) CHAPTER 3: TORSION Introduction: In this chapter structural members and machine parts that are in torsion will be considered. More specifically, you will analyze the stresses and strains in members

More information

Comparison of Models for Rolling Bearing Dynamic Capacity and Life

Comparison of Models for Rolling Bearing Dynamic Capacity and Life 2013 STLE Annual Meeting & Exhibition May 5-9, 2013 Detroit Marriott at the Renaissance Center Detroit, Michigan, USA Comparison of Models for Rolling Bearing Dynamic Capacity and Life Rolling-Element

More information

Mechanics of Materials Primer

Mechanics of Materials Primer Mechanics of Materials rimer Notation: A = area (net = with holes, bearing = in contact, etc...) b = total width of material at a horizontal section d = diameter of a hole D = symbol for diameter E = modulus

More information

7. Design of pressure vessels and Transformation of plane stress Contents

7. Design of pressure vessels and Transformation of plane stress Contents 7. Design of pressure vessels and Transformation of plane stress Contents 7. Design of pressure vessels and Transformation of plane stress... 1 7.1 Introduction... 7. Design of pressure vessels... 7..1

More information

Fundamentals of Durability. Unrestricted Siemens AG 2013 All rights reserved. Siemens PLM Software

Fundamentals of Durability. Unrestricted Siemens AG 2013 All rights reserved. Siemens PLM Software Fundamentals of Durability Page 1 Your single provider of solutions System simulation solutions 3D simulation solutions Test-based engineering solutions Engineering services - Deployment services Troubleshooting

More information

.,,,..,.o INFLUENCE OF PROGRAMING TECHNIQUES AND OF VARYING LIMIT LOAD FACTORS ON MANEUVER LOAD FATIGUE TEST RESULTS

.,,,..,.o INFLUENCE OF PROGRAMING TECHNIQUES AND OF VARYING LIMIT LOAD FACTORS ON MANEUVER LOAD FATIGUE TEST RESULTS CSAND NASA TECHNICAL NOTE < NASA TN D-3149 I,- INFLUENCE OF PROGRAMING TECHNIQUES AND OF VARYING LIMIT LOAD FACTORS ON MANEUVER LOAD FATIGUE TEST RESULTS ( "/, by Patrick L. Corbin ad EuUge.e C. Naumann

More information

A Model for Local Plasticity Effects on Fatigue Crack Growth

A Model for Local Plasticity Effects on Fatigue Crack Growth A Model for Local Plasticity Effects on Fatigue Crack Growth USAF Aircraft Structural Integrity Program Conference San Antonio, Texas November 28-30, 2006 R. Craig McClung Brian M. Gardner Yi-Der Lee Fraser

More information

5. STRESS CONCENTRATIONS. and strains in shafts apply only to solid and hollow circular shafts while they are in the

5. STRESS CONCENTRATIONS. and strains in shafts apply only to solid and hollow circular shafts while they are in the 5. STRESS CONCENTRATIONS So far in this thesis, most of the formulas we have seen to calculate the stresses and strains in shafts apply only to solid and hollow circular shafts while they are in the elastic

More information

Determine the resultant internal loadings acting on the cross section at C of the beam shown in Fig. 1 4a.

Determine the resultant internal loadings acting on the cross section at C of the beam shown in Fig. 1 4a. E X M P L E 1.1 Determine the resultant internal loadings acting on the cross section at of the beam shown in Fig. 1 a. 70 N/m m 6 m Fig. 1 Support Reactions. This problem can be solved in the most direct

More information

Structures and Multiaxial Fatigue Analysis. Timothy Langlais

Structures and Multiaxial Fatigue Analysis. Timothy Langlais Computational Methods for Multiaxial Fatigue 1 Structures and Multiaxial Fatigue Analysis Timothy Langlais University of Minnesota langlais@me.umn.edu Advisers: J. H. Vogel and T. R. Chase http://www.menet.umn.edu/

More information

Examination in Damage Mechanics and Life Analysis (TMHL61) LiTH Part 1

Examination in Damage Mechanics and Life Analysis (TMHL61) LiTH Part 1 Part 1 1. (1p) Define the Kronecker delta and explain its use. The Kronecker delta δ ij is defined as δ ij = 0 if i j 1 if i = j and it is used in tensor equations to include (δ ij = 1) or "sort out" (δ

More information

/ m U) β - r dr/dt=(n β / C) β+ (N r /C) r [8+8] (c) Effective angle of attack. [4+6+6]

/ m U) β - r dr/dt=(n β / C) β+ (N r /C) r [8+8] (c) Effective angle of attack. [4+6+6] Code No: R05322101 Set No. 1 1. (a) Explain the following terms with examples i. Stability ii. Equilibrium. (b) Comment upon the requirements of stability of a i. Military fighter aircraft ii. Commercial

More information

EFFECTIVITY PAGE DATE ISSUE PAGE DATE ISSUE PAGE DATE ISSUE 24/07/14 24/07/14

EFFECTIVITY PAGE DATE ISSUE PAGE DATE ISSUE PAGE DATE ISSUE 24/07/14 24/07/14 173 ROCHEFORT FAX: (33) 5 46 87 4 12 EFFECTIVITY PAGE DATE ISSUE PAGE DATE ISSUE PAGE DATE ISSUE 1 2 3 4 5 6 7 8 9 1 11 12 13 14 15 16 17 18 19 2 21 22 23 24 25 26 27 28 29 3 24/7/14 24/7/14 24/7/14 24/7/14

More information

Generic Bolt Hole Eddy Current Testing Probability of Detection Study

Generic Bolt Hole Eddy Current Testing Probability of Detection Study Generic Bolt Hole Eddy Current Testing Probability of Detection Study NRC-IAR, DND, TRI/Austin Catalin Mandache NDE Group, Structures and Materials Performance Laboratory Outline Background Project objectives

More information

Examination of the Fatigue Life under Combined Loading of Specimens

Examination of the Fatigue Life under Combined Loading of Specimens Applied and Computational Mechanics 2 (2008) 37 45 Examination of the Fatigue Life under Combined Loading of Specimens F. Fojtík a,, J. Fuxa a a Faculty of Mechanical Engineering, VŠB Technical University

More information

Shear of Thin Walled Beams. Introduction

Shear of Thin Walled Beams. Introduction Introduction Apart from bending, shear is another potential structural failure mode of beams in aircraft For thin-walled beams subjected to shear, beam theory is based on assumptions applicable only to

More information

Mechanics of Flight. Warren F. Phillips. John Wiley & Sons, Inc. Professor Mechanical and Aerospace Engineering Utah State University WILEY

Mechanics of Flight. Warren F. Phillips. John Wiley & Sons, Inc. Professor Mechanical and Aerospace Engineering Utah State University WILEY Mechanics of Flight Warren F. Phillips Professor Mechanical and Aerospace Engineering Utah State University WILEY John Wiley & Sons, Inc. CONTENTS Preface Acknowledgments xi xiii 1. Overview of Aerodynamics

More information

NEW CONCEPT OF A LOCAL ELASTIC STRESS APPROACH FOR FATIGUE LIFE CALCULATION

NEW CONCEPT OF A LOCAL ELASTIC STRESS APPROACH FOR FATIGUE LIFE CALCULATION NEW CONCEPT OF A LOCAL ELASTIC STRESS APPROACH FOR FATIGUE LIFE CALCULATION * Milan Ruzicka Jan Papuga Abstract: Principles of different approaches to fatigue life prediction until the crack initiation

More information

Available online at ScienceDirect. Procedia Engineering 88 (2014 )

Available online at  ScienceDirect. Procedia Engineering 88 (2014 ) Available online at www.sciencedirect.com ScienceDirect Procedia Engineering 88 (2014 ) 242 254 International Symposium on Dynamic Response and Failure of Composite Materials, DRaF2014 Residual strength

More information

ROTATING RING. Volume of small element = Rdθbt if weight density of ring = ρ weight of small element = ρrbtdθ. Figure 1 Rotating ring

ROTATING RING. Volume of small element = Rdθbt if weight density of ring = ρ weight of small element = ρrbtdθ. Figure 1 Rotating ring ROTATIONAL STRESSES INTRODUCTION High centrifugal forces are developed in machine components rotating at a high angular speed of the order of 100 to 500 revolutions per second (rps). High centrifugal force

More information

twenty one concrete construction: shear & deflection ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2014 lecture

twenty one concrete construction: shear & deflection ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2014 lecture ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2014 lecture twenty one concrete construction: Copyright Kirk Martini shear & deflection Concrete Shear 1 Shear in Concrete

More information

five Mechanics of Materials 1 ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2017 lecture

five Mechanics of Materials 1 ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2017 lecture ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2017 lecture five mechanics www.carttalk.com of materials Mechanics of Materials 1 Mechanics of Materials MECHANICS MATERIALS

More information

Wind Tunnel Experiments of Stall Flutter with Structural Nonlinearity

Wind Tunnel Experiments of Stall Flutter with Structural Nonlinearity Wind Tunnel Experiments of Stall Flutter with Structural Nonlinearity Ahmad Faris R.Razaami School of Aerospace Engineering, Universiti Sains Malaysia, Penang, MALAYSIA Norizham Abdul Razak School of Aerospace

More information

ENG202 Statics Lecture 16, Section 7.1

ENG202 Statics Lecture 16, Section 7.1 ENG202 Statics Lecture 16, Section 7.1 Internal Forces Developed in Structural Members - Design of any structural member requires an investigation of the loading acting within the member in order to be

More information

NONLINEAR STATIC AND MULTI-AXIAL FATIGUE ANALYSIS OF AUTOMOTIVE LOWER CONTROL ARM USING NEiNASTRAN

NONLINEAR STATIC AND MULTI-AXIAL FATIGUE ANALYSIS OF AUTOMOTIVE LOWER CONTROL ARM USING NEiNASTRAN NONLINEAR STATIC AND MULTI-AXIAL FATIGUE ANALYSIS OF AUTOMOTIVE LOWER CONTROL ARM USING NEiNASTRAN Dr. J.M. Mahishi, Director Engineering MS&M Engineering Inc, Farmington Hills, MI, USA SUMMARY The Lower

More information

Damage Detection in Bolted Joints by Fibre Optics Distributed Sensing

Damage Detection in Bolted Joints by Fibre Optics Distributed Sensing 2nd International Symposium on NDT in Aerospace 2010 - Mo.2.A.2 Damage Detection in Bolted Joints by Fibre Optics Distributed Sensing Alfredo GÜEMES 1*, Antonio FERNANDEZ-LOPEZ *1 Univ. Politecnica de

More information

MIL-HDBK-5H 1 December 1998

MIL-HDBK-5H 1 December 1998 components are calculated. In some cases, the methods presented are empirical and subject to further refinements. Any further expansion of information on element behavior in MIL-HDBK-5 will emphasize those

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS Third E CHAPTER 2 Stress MECHANICS OF MATERIALS Ferdinand P. Beer E. Russell Johnston, Jr. John T. DeWolf Lecture Notes: J. Walt Oler Texas Tech University and Strain Axial Loading Contents Stress & Strain:

More information

Experimental and finite elements study of the behaviour of a double shear bolted joint submitted to tensile and bending forces

Experimental and finite elements study of the behaviour of a double shear bolted joint submitted to tensile and bending forces Experimental and finite elements study of the behaviour of a double shear bolted joint submitted to tensile and bending forces K. Koffi', R. Chieragatti', J. Huef & E. Bouchef 1 Department of Mechanical

More information

Vibration Testing of Small Satellites

Vibration Testing of Small Satellites Vibration Testing of Small Satellites This series of papers provides a tutorial along with guidelines and recommendations for vibration testing of small satellites. Our aim with these papers is to help

More information

ARTICLE A-8000 STRESSES IN PERFORATED FLAT PLATES

ARTICLE A-8000 STRESSES IN PERFORATED FLAT PLATES ARTICLE A-8000 STRESSES IN PERFORATED FLAT PLATES Delete endnote 18, which says "Express metric values in exponential form" A-8100 INTRODUCTION A-8110 SCOPE (a) This Article contains a method of analysis

More information

For sunshades using the Zee blades wind loads are reduced by 10 psf.

For sunshades using the Zee blades wind loads are reduced by 10 psf. C.R. Laurence Co., Inc. 2503 East Vernon Los Angeles, CA 90058 24 July 2009 SUBJ: CR LAURENCE UNIVERSAL SUN SHADES The CRL Universal Aluminum Sun Shades were evaluated in accordance with the 2006 International

More information

Non-Linear Finite Element Modeling of THUNDER Piezoelectric Actuators

Non-Linear Finite Element Modeling of THUNDER Piezoelectric Actuators Non-Linear Finite Element Modeling of THUNDER Piezoelectric Actuators Barmac K. Taleghani 1, Joel F. Campbell 2 1 Army Research Laboratory, Vehicle Technology Center, MS 230 NASA Langley Research Center,

More information

Dynamic Response of an Aircraft to Atmospheric Turbulence Cissy Thomas Civil Engineering Dept, M.G university

Dynamic Response of an Aircraft to Atmospheric Turbulence Cissy Thomas Civil Engineering Dept, M.G university Dynamic Response of an Aircraft to Atmospheric Turbulence Cissy Thomas Civil Engineering Dept, M.G university cissyvp@gmail.com Jancy Rose K Scientist/Engineer,VSSC, Thiruvananthapuram, India R Neetha

More information

STRESS ANALYSIS EXPERIMENTS FOR MECHANICAL ENGINEERING STUDENTS

STRESS ANALYSIS EXPERIMENTS FOR MECHANICAL ENGINEERING STUDENTS STRESS ANALYSIS EXPERIMENTS FOR MECHANICAL ENGINEERING STUDENTS Nashwan Younis Department of Engineering Indiana University-Purdue University Fort Wayne Fort Wayne, IN 46805-1499 Session 1566 Abstract

More information

Model-Based Engineering and Cyber-Physical Systems

Model-Based Engineering and Cyber-Physical Systems Model-Based Engineering and Cyber-Physical Systems Jason Hatakeyama Chief Architect Boeing Defense, Space & Security Approved for public release 8/2/17. Ref no. 17-00606-BDS. GPDIS_2017.ppt 1 PRODUCT CONCEPT

More information

On Improving the Celebrated Paris Power Law for Fatigue, by Using Moving Least Squares

On Improving the Celebrated Paris Power Law for Fatigue, by Using Moving Least Squares Copyright 2015 Tech Science Press CMC, vol.45, no.1, pp.1-15, 2015 On Improving the Celebrated Paris Power Law for Fatigue, by Using Moving Least Squares Leiting Dong 1,2, Robert Haynes 3 and Satya N.

More information

MAE 322 Machine Design. Dr. Hodge Jenkins Mercer University

MAE 322 Machine Design. Dr. Hodge Jenkins Mercer University MAE 322 Machine Design Dr. Hodge Jenkins Mercer University What is this Machine Design course really about? What you will learn: How to design machine elements 1) Design so they won t break under varying

More information

Tuesday, February 11, Chapter 3. Load and Stress Analysis. Dr. Mohammad Suliman Abuhaiba, PE

Tuesday, February 11, Chapter 3. Load and Stress Analysis. Dr. Mohammad Suliman Abuhaiba, PE 1 Chapter 3 Load and Stress Analysis 2 Chapter Outline Equilibrium & Free-Body Diagrams Shear Force and Bending Moments in Beams Singularity Functions Stress Cartesian Stress Components Mohr s Circle for

More information

CHAPTER 2 Failure/Fracture Criterion

CHAPTER 2 Failure/Fracture Criterion (11) CHAPTER 2 Failure/Fracture Criterion (12) Failure (Yield) Criteria for Ductile Materials under Plane Stress Designer engineer: 1- Analysis of loading (for simple geometry using what you learn here

More information

VEGA LAUNCH VEHICLE: PAYLOAD FAIRING SEPARATION ANALYSIS

VEGA LAUNCH VEHICLE: PAYLOAD FAIRING SEPARATION ANALYSIS VEGA LAUNCH VEHICLE: PAYLOAD FAIRING SEPARATION ANALYSIS P. F. Dezio, E. Mastrella, D. Fotino, G. Leto, M. Linari, F. Battie, D. Barbagallo The Payload Fairing (PLF) is the upper structural part of a launcher.

More information

1 Force Sensing. Lecture Notes. 1.1 Load Cell. 1.2 Stress and Strain

1 Force Sensing. Lecture Notes. 1.1 Load Cell. 1.2 Stress and Strain Lecture Notes 1 Force Sensing 1.1 Load Cell A Load Cell is a structure which supports the load and deflects a known amount in response to applied forces and torques. The deflections are measured to characterize

More information

Contents. Chapter 1 Introduction Chapter 2 Unacceptable Cam Curves Chapter 3 Double-Dwell Cam Curves... 27

Contents. Chapter 1 Introduction Chapter 2 Unacceptable Cam Curves Chapter 3 Double-Dwell Cam Curves... 27 Contents Chapter 1 Introduction... 1 1.0 Cam-Follower Systems... 1 1.1 Fundamentals... 1 1.2 Terminology... 4 Type of Follower Motion... 4 Type of Joint Closure... 4 Type of Follower... 5 Type of Cam...

More information

MECHANICAL TESTING METHODS CONCERNING THE STRESS ANALYSIS FOR A VEHICLE WHEEL RIM

MECHANICAL TESTING METHODS CONCERNING THE STRESS ANALYSIS FOR A VEHICLE WHEEL RIM Mechanical Testing and Diagnosis ISSN 2247 9635, 2012 (II), Volume 2, 33-39 MECHANICAL TESTING METHODS CONCERNING THE STRESS ANALYSIS FOR A VEHICLE WHEEL RIM Alexandru Valentin RADULESCU 1), Sorin CANANAU

More information

Mathematical Techniques for Pre-conceptual Design

Mathematical Techniques for Pre-conceptual Design Mathematical Techniques for Pre-conceptual Design Mathematical Modeling in Industry XI IMA University of Minnesota Mentor: John Hoffman, Lockheed Martin Tactical Systems Michael Case 1, Jeff Haack 2, MoonChang

More information

Comparative study between random vibration and linear static analysis using Miles method for thruster brackets in space structures

Comparative study between random vibration and linear static analysis using Miles method for thruster brackets in space structures Comparative study between random vibration and linear static analysis using Miles method for thruster brackets in space structures Ion DIMA*,1, Cristian-Gheorghe MOISEI 1, Calin-Dumitru COMAN 1, Mihaela

More information

Durability & Damage Tolerance Testing and Analysis Protocols for Composite Structures Life Factor, Load-Enhancement Factors, and Fatigue Life

Durability & Damage Tolerance Testing and Analysis Protocols for Composite Structures Life Factor, Load-Enhancement Factors, and Fatigue Life Durability & Damage Tolerance Testing and Analysis Protocols for Composite Structures Life Factor, Load-Enhancement Factors, and Fatigue Life Waruna P. Seneviratne, PhD John S. Tomblin, PhD National Institute

More information

March No In Cooperation with the University of Wisconsin

March No In Cooperation with the University of Wisconsin March 1956 No. In Cooperation with the University of Wisconsin STRESSES IN WOOD MEMBERS SUBJECTED TO COMBINED COLUMN AND BEAM ACTION.* J. A. NEWLIN and G. W. TRAYER. INTRODUCTION. This publication is one

More information

Excerpt from the Proceedings of the COMSOL Conference 2010 Boston

Excerpt from the Proceedings of the COMSOL Conference 2010 Boston Excerpt from the Proceedings of the COMSOL Conference 21 Boston Uncertainty Analysis, Verification and Validation of a Stress Concentration in a Cantilever Beam S. Kargar *, D.M. Bardot. University of

More information

Center of Mass & Linear Momentum

Center of Mass & Linear Momentum PHYS 101 Previous Exam Problems CHAPTER 9 Center of Mass & Linear Momentum Center of mass Momentum of a particle Momentum of a system Impulse Conservation of momentum Elastic collisions Inelastic collisions

More information

V Predicted Weldment Fatigue Behavior AM 11/03 1

V Predicted Weldment Fatigue Behavior AM 11/03 1 V Predicted Weldment Fatigue Behavior AM 11/03 1 Outline Heavy and Light Industry weldments The IP model Some predictions of the IP model AM 11/03 2 Heavy industry AM 11/03 3 Heavy industry AM 11/03 4

More information

Improvement in Subsurface Fatigue Cracks under Airframes Fasteners Detection Using Improved Rotating Giant Magneto- Resistance Magnetometer Head

Improvement in Subsurface Fatigue Cracks under Airframes Fasteners Detection Using Improved Rotating Giant Magneto- Resistance Magnetometer Head ECNDT 2006 - Th.4.1.2 Improvement in Subsurface Fatigue Cracks under Airframes Fasteners Detection Using Improved Rotating Giant Magneto- Resistance Magnetometer Head C. DOLABDJIAN, L. PEREZ, ENSICAEN

More information

Strain Measurement Techniques for Composite Coupon Testing

Strain Measurement Techniques for Composite Coupon Testing Strain Measurement Techniques for Composite Coupon Testing Introduction Characterization of the properties of anisotropic and inhomogeneous composite materials for use in demanding structural applications

More information

Strength of Material. Shear Strain. Dr. Attaullah Shah

Strength of Material. Shear Strain. Dr. Attaullah Shah Strength of Material Shear Strain Dr. Attaullah Shah Shear Strain TRIAXIAL DEFORMATION Poisson's Ratio Relationship Between E, G, and ν BIAXIAL DEFORMATION Bulk Modulus of Elasticity or Modulus of Volume

More information

Composite Fittings. Shear clips Lugs. Large special purpose fitting. Attachment clips

Composite Fittings. Shear clips Lugs. Large special purpose fitting. Attachment clips Composite Fittings L Shear clips Lugs Attachment clips Large special purpose fitting Fittings - General A fitting connects at least two other parts It (hopefully) transfers load effectively at the junction

More information

SPECIAL CONDITION. Water Load Conditions. SPECIAL CONDITION Water Load Conditions

SPECIAL CONDITION. Water Load Conditions. SPECIAL CONDITION Water Load Conditions Doc. No. : SC-CVLA.051-01 Issue : 1d Date : 04-Aug-009 Page : 1 of 13 SUBJECT : CERTIFICATION SPECIFICATION : VLA.51 PRIMARY GROUP / PANEL : 03 (Structure) SECONDARY GROUPE / PANEL : -- NATURE : SCN VLA.51

More information

Determination of Stress Intensity Factor for a Crack Emanating From a Rivet Hole and Approaching Another in Curved Sheet

Determination of Stress Intensity Factor for a Crack Emanating From a Rivet Hole and Approaching Another in Curved Sheet International OPEN ACCESS Journal Of Modern Engineering Research (IJMER) Determination of Stress Intensity Factor for a Crack Emanating From a Rivet Hole and Approaching Another in Curved Sheet Raghavendra.

More information

Recent Research on Damage Detection Methods for Helicopter Rotor Systems

Recent Research on Damage Detection Methods for Helicopter Rotor Systems Recent Research on Damage Detection Methods for Helicopter Rotor Systems Prof. Ed Smith, Prof. Stephen Conlon, Aerospace Engineering Dept Prof. Kon-Well Wang Mechanical Engineering Dept Prof. Joe Rose,

More information

Air Loads. Airfoil Geometry. Upper surface. Lower surface

Air Loads. Airfoil Geometry. Upper surface. Lower surface AE1 Jha Loads-1 Air Loads Airfoil Geometry z LE circle (radius) Chord line Upper surface thickness Zt camber Zc Zl Zu Lower surface TE thickness Camber line line joining the midpoints between upper and

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS CHATR Stress MCHANICS OF MATRIALS and Strain Axial Loading Stress & Strain: Axial Loading Suitability of a structure or machine may depend on the deformations in the structure as well as the stresses induced

More information

Strength and Damage Tolerance of Adhesively Bonded Joints: Stress-Based and Fracture-Based Approaches

Strength and Damage Tolerance of Adhesively Bonded Joints: Stress-Based and Fracture-Based Approaches Strength and Damage Tolerance of Adhesively Bonded Joints: Stress-Based and Fracture-Based Approaches Hyonny Kim Assistant Professor School of Aeronautics and Astronautics, Purdue University presented

More information