MMPDS-12 TABLE OF CONTENTS

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1 MMPDS- Chapter 1 Disclaimer Foreward Explanation of Numerical Code Trademarks i iii v Chapter 1 - GENERAL PURPOSE AND USE OF DOCUMENT INTRODUCTION SCOPE OF HANDBOOK NOMENCLATURE SYMBOLS AND DEFINITIONS INTERNATIONAL SYSTEM OF UNITS COMMONLY USED FORMULAS GENERAL SIMPLE UNIT STRESSES COMBINED STRESSES (SEE SECTION ) DEFLECTIONS (AXIAL) DEFLECTIONS (BENDING) DEFLECTIONS (TORSION) BIAXIAL ELASTIC DEFORMATION BASIC COLUMN FORMULAS INELASTIC STRESS-STRAIN RESPONSE BASIC PRINCIPLES GENERAL Basis Statistically Calculated Values Ratioed Values Values for Non-Standard Test Locations STRESS STRAIN Poisson s Ratio Effect Shear Strain Strain Rate Elongation and Reduction of Area INTRODUCTION TO STRESS STRAIN CURVES IN MMPDS 1-12 TOC 1-1

2 The One Parameter Ramberg-Osgood Stress Strain Curve The Two Parameter Bron Stress Strain Curve TENSILE PROPERTIES Modulus of Elasticity (E) Tensile Proportional Limit Stress (Ftp) Tensile Yield Stress (TYS or Fty) Tensile Ultimate Stress (TUS or Ftu) Elongation (e) Reduction of Area (RA) Design Stress-Strain Curves Dynamic Modulus (ED) COMPRESSIVE PROPERTIES Compressive Ultimate Stress (Fcu) Compressive Yield Stress (CYS or Fcy) SHEAR PROPERTIES Modulus of Rigidity (G) Ultimate and Yield Stresses in Shear (SUS or Fsu) and (SYS or Fsy) BEARING PROPERTIES Bearing Yield (BYS or Fbry) and Ultimate (BUS or Fbru) Stress Bearing Load Orientation TEMPERATURE EFFECTS Low Temperature Elevated Temperature Creep and Stress-Rupture Properties Creep-Rupture Curve Creep or Stress-Rupture Presentations FATIGUE PROPERTIES Terminology Graphical Display of Fatigue Data METALLURGICAL INSTABILITY BIAXIAL PROPERTIES Biaxial Modulus of Elasticity Biaxial Yield Stress Biaxial Ultimate Stress FRACTURE TOUGHNESS Brittle Fracture Brittle Fracture Analysis Critical Plane-Strain Fracture Toughness 1-38 TOC 1-2

3 Environmental Effects Effects of Specimen Location through the Thickness Fracture in Plane-Stress and Transitional-Stress States Analysis of Plane-Stress and Transitional-Stress State Fracture Apparent Fracture Toughness Values for Plane-Stress and Transitional-Stress States Middle-Tension Panels Crack Resistance (R-Curve) FATIGUE CRACK GROWTH Fatigue Crack Growth Rate Testing Fatigue Crack Growth Analysis Fatigue Crack Growth Data Presentation Use of Values for Heat Treat by User Materials TYPES OF FAILURES GENERAL MATERIAL FAILURES Direct Tension or Compression Shear Bearing Bending Failure Due to Stress Concentrations Failure From Combined Stresses INSTABILITY FAILURES Instability Failures Under Compression Instability Failures Under Bending Instability Failures Under Torsion Failure Under Combined Loadings COLUMNS GENERAL PRIMARY INSTABILITY FAILURES Columns With Stable Sections Maximum Column Stress FCO for Stable Cross Sections Torsional Instability Other Considerations LOCAL INSTABILITY FAILURES Crippling Stress (Fcc) CORRECTION OF COLUMN TEST RESULTS Nature of Short Column Curve Local Failure 1-54 TOC 1-3

4 Reduction of Column Test Results on Aluminum and Magnesium Alloys tostandard Material Reduction of Column Test Results to Standard Material-AlternateMethod COMPACT SECTION BUCKLING AND Et ESTIMATES Column Curve Comparison Criteria Compressive Stress Strain and Et Figure Footnotes THIN-WALLED AND STIFFENED THIN-WALLED SECTIONS ALLOWABLES-BASED FLOW STRESS FOR NONLINEAR STATIC ANALYSIS INTRODUCTION DETAILED PROCEDURE REPORTING REQUIREMENTS ESTIMATION OF AVERAGE TENSILE PROPERTIES FROM A- AND B-BASISDESIGN ALLOWABLES INTRODUCTION GENERAL TRENDS 1-71 REFERENCES - Chapter TOC 1-4

5 MMPDS-12 - Chapter 2 Chapter 2 - STEEL GENERAL ALLOY INDEX MATERIAL PROPERTIES Mechanical Properties Strength (tension, Compression, Shear, Bearing) Elongation Fracture Toughness Stress-strain Relationships Fatigue Physical Properties Environmental Considerations Obsolete Alloys, Heat Treatments, And Product Forms CARBON STEELS COMMENTS ON CARBON STEELS Metallurgical Considerations Manufacturing Considerations Environmental Considerations AISI Comments and Properties LOW-ALLOY STEELS (AISI GRADES AND PROPRIETARY GRADES) COMMENTS ON LOW-ALLOY STEELS (AISI AND PROPRIETARY GRADES) Metallurgical Considerations Manufacturing Conditions Environmental Considerations SPECIFIC ALLOYS Comments and Properties AISI Low-Alloy Steels AISI 4130 and 8630 Steels AISI 4340 Steel M Steel D6AC Steel 2.4 INTERMEDIATE ALLOY STEELS TOC 2-1

6 CR-MO-V Comments and Properties Heat-Treated Condition NI-4CO-0.20C Comments and Properties Heat-Treated Condition Ni-4Co-0.30C Comments and Properties Heat-Treated Condition HIGH-ALLOY STEELS COMMENTS ON HIGH-ALLOY STEELS Metallurgical Considerations Environmental Considerations NI MARAGING STEELS Comments and Properties Maraged Condition (aged at 900EF) AF Comments and Properties Heat-Treated Condition AERMET Comments and Properties ksi Heat-Treated Condition ksi Heat-Treated Condition FERRIUM S Comments and Properties Heat Treated Condition FERRIUM M Comments and Properties Aged at 960 F Condition PRECIPITATION- AND TRANSFORMATION-HARDENING STEELS (STAINLESS) COMMENTS ON PRECIPITATION AND TRANSFORMATION-HARDENING STEELS (STAINLESS) Metallurgical Considerations Manufacturing Considerations TOC 2-2

7 Environmental Considerations AM Comments and Properties SCT 850 Condition AM Comments and Properties SCT Condition CUSTOM Comments and Properties H900 Condition H1050 Condition CUSTOM Comments and Properties H950 Condition H1000 Condition CUSTOM Comments and Properties H950 and H1000 Condition PH13-8Mo Comments and Properties H950 and H1000 Conditions Extra-High Toughness H1000 Conditions PH Comments and Properties Various Heat-Treated Conditions H1025 Condition H1150 Condition PH15-7Mo Comments and Properties TH1050 Condition PH Comments and Properties H900 Condition Various Heat Treat Conditions H1000 Condition H1025 Condition H1100 Condition H1150 Condition TOC 2-3

8 PH Comments and Properties TH1050 Condition HSL180 (12.5CR-1.0NI-15.5CO-2.0MO) Comments and Properties Austenitized and Tempered Condition MLX Comments and Properties H950 Condition H1000 Condition MLX Comments and Properties H950 Condition AUSTENITIC STAINLESS STEELS COMMENTS ON AUSTENITIC STAINLESS STEEL Metallurgical Considerations Manufacturing Considerations Environmental Considerations AISI 301 AND RELATED 300 SERIES STAINLESS STEELS Comments and Properties Solution Heat Treated Condition ¼ Hard Condition ½ Hard Condition ¾ Hard Condition Full-Hard Condition ELEMENT PROPERTIES BEAMS Simple Beams Built-Up Beams COLUMNS General Effects of Welding TORSION General Torsion Properties REFERENCES - Chapter TOC 2-4

9 MMPDS-12 - Chapter 3 Chapter 3 - ALUMINUM GENERAL ALUMINUM ALLOY INDEX MATERIAL PROPERTIES Mechanical Properties Edgewise Bearing Clad Sheet and Plate Fatigue Fracture Toughness Cryogenic Temperatures Elevated Temperatures Stress-Strain Relationships Physical Properties Corrosion Resistance Resistance to Stress-Corrosion Cracking Resistance to Exfoliation MANUFACTURING CONSIDERATIONS Avoiding Stress Corrosion Cracking Cold-Formed, Heat-Treatable Aluminum Alloys Dimensional Changes Welding Obsolete Alloys, Tempers, and Product Forms SERIES WROUGHT ALLOYS ALLOY Comments and Properties T6511 Temper ALLOY Comments and Properties T6, T62, T651, T652, T6510, and T6511 Temper ALLOY 3-98 TOC 3-1

10 Comments and Properties T4, T451, and T42 Temper ALLOY Comments and Properties T3, T351, T3510, T3511, T4, and T42 Temper T361 (supersedes T36) Temper T62 and T72 Temper T81, T851, T852, T8510, and T8511 Temper T861 (supersedes T86) Temper ALLOY Comments and Properties ALLOY Comments and Properties ALLOY Comments and Properties T351 Temper T3511 Temper Alloy Comments and Properties T8 Temper ALLOY Comments and Properties T84 Temper ALLOY Comments and Properties T84 Temper CLAD 2056 ALLOY Comments and Properties ALLOY Comments and Properties T83 Temper ALLOY Comments and Properties T82P Temper ALLOY Comments and Properties T86 Temper T83 Temper TOC 3-2

11 T81 Temper ALLOY Comments and Properties T851 Temper ALLOY Comments and Properties T8, T82 Temper ALLOY Comments and Properties T8511 Temper ALLOY Comments and Properties T8 Temper ALLOY Comments and Properties T62 Temper T81 and T851X Tempers T852 Temper T87 Temper ALLOY Comments and Properties T87 Temper ALLOY Comments and Properties T84 Temper ALLOY Comments and Properties T87 Temper ALLOY Comments and Properties ALLOY Comments and Properties T87 Temper ALLOY Comments and Properties T3 Temper ALLOY Comments and Properties TOC 3-3

12 T61 Temper ALLOY Comments and Properties T39 Temper T351 Temper ALLOY Comments and Properties T3511 Temper SERIES WROUGHT ALLOYS SERIES WROUGHT ALLOYS SERIES WROUGHT ALLOYS ALLOY Comments and Properties O-Temper H32 Temper H34 Temper H36 Temper H38 Temper ALLOY Comments and Properties O Temper ALLOY Comments and Properties O Temper H32 Temper H34 Temper H36 Temper H38 Temper H111 Temper H112 Temper ALLOY Comments and Properties O Temper H32 Temper H34 Temper ALLOY Comments and Properties TOC 3-4

13 O Temper H111 Temper H112 Temper H321 Temper SERIES WROUGHT ALLOYS ALLOY Comments and Properties T6 Temper ALLOY Comments and Properties T4, T42, T451, T4510, and T4511 Tempers T6, T62, T651, T652, T6510, and T6511 Tempers ALLOY Comments and Properties T6 Temper ALLOY Comments and Properties T62 Temper SERIES WROUGHT ALLOYS ALLOY Comments and Properties T7451 Temper T7651 Temper ALLOY Comments and Properties T7452 Temper ALLOY Comments and Properties /7149 ALLOY Comments and Properties T73 and T73511 Tempers ALLOY Comments and Properties T73510 and T73511 Tempers T74, T7451, and T7452 Tempers T76510 and T76511 Tempers ALLOY Comments and Properties TOC 3-5

14 T74511 Temper T76511 Temper T7751 and T77511 Tempers ALLOY Comments and Properties T7651 Temper ALLOY Comments and Properties T7451 Temper T7651 Temper ALLOY Comments and Properties T6511 Temper ALLOY Comments and Properties T6, T651, T652, T6510, T6511 Temper T73, T7351, T7352, T73510, T73511 Tempers ALLOY Comments and Properties T7451 Temper T7651 Temper T7452 Temper ALLOY Comments and Properties T73511 Tempers T74511 Tempers T76511 Temper ALLOY Comments and Properties T7451 Temper T7651 Temper ALLOY Comments and Properties T6151 and T61511 Tempers T7751 and T77511 Tempers ALLOY Comments and Properties T73511 Temper TOC 3-6

15 T74 and T7452 Tempers ALLOY Comments and Properties T7452 Temper T76511 Temper ALLOY Comments and Properties T7751 Temper ALLOY Comments and Properties T76511 Temper ALLOY Comments and Properties T7651 Temper T7951 Temper ALLOY Comments and Properties T61 and T651 Tempers T7351 Temper T761 and T7651 Tempers SERIES CAST ALLOYS A201.0 ALLOY Comments and Properties T7 Temper /TIB2/3P ALLOY Comments and Properties Investment Casting Sand Casting SERIES CAST ALLOYS ALLOY Comments and Properties ALLOY Comments and Properties C355.0 ALLOY Comments and Properties ALLOY Comments and Properties A356.0 ALLOY TOC 3-7

16 Comments and Properties T6 Temper A357.0/F357.0 ALLOY Comments and Properties T6 Temper D357.0/E357.0 ALLOY Comments and Properties T6 Temper ALLOY Comments and Properties ELEMENT PROPERTIES BEAMS Simple Beams Round Tubes Unconventional Cross Section Built-Up Beams Thin-Web Beams COLUMNS Primary Failure Local Failure Column Properties TORSION General Torsion Properties REFERENCES - Chapter TOC 3-8

17 MMPDS-12 - Chapter 4 Chapter 4 - Magnesium GENERAL ALLOY INDEX MATERIAL PROPERTIES Mechanical Properties Tension Testing Compression Testing Bearing Testing Shear Testing Stress Raisers Creep Fatigue Fracture Toughness PHYSICAL PROPERTIES ENVIRONMENTAL CONSIDERATIONS ALLOY AND TEMPER DESIGNATIONS JOINING METHODS OBSOLETE ALLOYS, TEMPERS, AND PRODUCT FORMS MAGNESIUM-WROUGHT ALLOYS AZ31B Comments and Properties AZ31B-O Temper AZ31B-H24 Temper AZ31B-H26 Temper AZ31B-F Temper AZ61A Comments and Properties WE43C (Elektron 43) Comments and Properties WE43C-T5 Temper ZK60A Comments and Properties ZK60A-F Temper ZK60A-T5 Temper 4-39 TOC 4-1

18 4.3 MAGNESIUM CAST ALLOYS AM100A Comments and Properties AZ91C/AZ91E Comments and Properties T6 Temper AZ92A Comments and Properties AZ92A-T6 Temper EV31A (ELEKTRON 21) ALLOY Comments and Properties T6 Temper EZ33A Comments and Properties EZ33A-T5 Temper QE22A Comments and Properties QE22A-T6 Temper ZE41A Comments and Properties T5 Temper ELEMENT PROPERTIES BEAMS Simple Beams Round Tubes Unconventional Cross Sections Built-Up Beams Thin-Web Beams COLUMNS Primary Failure Local Failure Column Properties TORSION General Torsion Properties 4-77 REFERENCES - Chapter TOC 4-2

19 MMPDS-12 - Chapter 5 Chapter 5 - TITANIUM ALLOYS GENERAL TITANIUM INDEX MATERIAL PROPERTIES Mechanical Properties MANUFACTURING CONSIDERATIONS ENVIRONMENTAL CONSIDERATIONS OBSOLETE ALLOYS, TEMPERS, AND PRODUCT FORMS UNALLOYED TITANIUM COMMERCIALLY PURE TITANIUM Comments and Properties Annealed Condition ALPHA AND NEAR-ALPHA TITANIUM ALLOYS TI-5AL-2.5SN Comments and Properties Annealed Condition TI-8AL-1MO-1V Comments and Properties Single-Annealed Condition Duplex-Annealed Condition Ti-6Al-2Sn-4Zr-2Mo Comments and Properties Single, Duplex, and Triplex Annealed ALPHA-BETA TITANIUM ALLOYS TI-6AL-4V Comments and Properties Annealed Condition Solution-Treated and Aged Condition TI-6AL-6V-2SN Comments and Properties Annealed Condition Solution-Treated and Aged Condition TI-4.5AL-3V-2FE-2MO Comments and Properties Annealed Condition TI-4AL-2.5V-1.5FE TOC 5-1

20 Comments and Properties Cold Rolled Sheet, Annealed Condition Hot Rolled Sheet and Plate, Annealed Condition Single Melt Cold-Rolled Sheet, Annealed Condition BETA, NEAR-BETA, AND METASTABLE-BETA TITANIUM ALLOYS TI-13V-11CR-3AL Comments and Properties Annealed Condition Solution-Treated and Aged Condition TI-15V-3CR-3SN-3AL (TI-15-3) Comments Solution-Treated and Aged (1000º F) Condition TI-10V-2FE-3AL (TI ) Comments and Properties Solution Treated and Aged (900ºF to 950ºF) Condition Solution Treated and Aged (950ºF to 1000ºF) Condition ELEMENT PROPERTIES BEAMS Simple Beams REFERENCES - Chapter TOC 5-2

21 MMPDS-12 - Chapter 6 Chapter 6 - HEAT-RESISTANT ALLOYS GENERAL MATERIAL PROPERTIES Mechanical Properties Physical Properties Obsolete Alloys, Tempers, and Product Forms IRON-CHROMIUM - NICKEL-BASE ALLOYS GENERAL COMMENTS Metallurgical Considerations Manufacturing Considerations A Comments and Properties N Comments and Properties Solution-Treated Condition NICKEL-BASE ALLOYS GENERAL COMMENTS Metallurgical Considerations Manufacturing Considerations HASTELLOY X Comments and Properties INCONEL Comments and Properties Annealed Condition INCONEL Comments and Properties Annealed Condition INCONEL Comments and Properties Solution-Treated and Aged Condition (Creep Rupture Heat Treatment) ALLOY Comments and Properties Solution-Treated and Aged Condition TOC 6-1

22 6.3.6 INCONEL X Comments and Properties Annealed and Aged Equalized and Aged RENÉ Comments and Properties Solution Treated at 1975EF and Aged at 1400EF Condition WASPALOY Comments and Properties Aged Condition ALLOY Comments and Properties Annealed Condition HR-120 ALLOY Comments and Properties Annealed Condition HAYNES 282 ALLOY Comments and Properties Precipitation Hardened Condition COBALT-BASE ALLOYS GENERAL COMMENTS Metallurgical Considerations Manufacturing Considerations Special Precautions L-605 (25 alloy) Comments and Properties Solution Treated Condition ALLOY Comments and Properties Solution-Treated Condition REFERENCES - Chapter TOC 6-2

23 MMPDS-12 - Chapter 7 Chapter 7 - MISCELLANEOUS ALLOYS and HYBRID MATERIALS GENERAL Obsolete Alloys, Tempers, and Product Forms BERYLLIUM GENERAL STANDARD GRADE BERYLLIUM Comments and Properties Manufacturing Considerations Hot-Pressed Condition HIP d Condition COPPER AND COPPER ALLOYS GENERAL MANGANESE BRONZES Comments and Properties COPPER BERYLLIUM Comments and Properties TF00 Temper TH04 Temper COPPER-NICKEL-TIN (SPINODAL ALLOY) Comments and Properties TX00 Temper TX TS Temper ALUMINUM BRONZES Comments and Properties MULTIPHASE ALLOYS GENERAL MP35N ALLOY Comments and Properties Cold Worked and Aged Condition MP159 ALLOY Comments and Properties Cold Worked and Aged Condition TOC 7-1

24 7.5 ALUMINUM ALLOY SHEET LAMINATES GENERAL T3 ARAMID FIBER REINFORCED SHEET LAMINATE Comments and Properties T3 Temper T761 ARAMID FIBER REINFORCED SHEET LAMINATE Comments and Properties ALUMINUM-BERYLLIUM HYBRIDS GENERAL AL-62BE Comments and Properties Manufacturing Considerations Hot Isostatic Pressed Condition 7-69 REFERENCES - Chapter TOC 7-2

25 MMPDS-12 - Chapter 8 Chapter 8 - STRUCTURAL JOINTS MECHANICALLY FASTENED JOINTS INTRODUCTION AND FASTENER INDEXES Data Sources Fastener Shear Strengths Edge Distance Requirements SOLID RIVETS Protruding-Head Solid Rivet Joints Flush-Head Solid Rivet Joints BLIND FASTENERS Protruding-Head Blind Fasteners Friction-Lock Blind Rivets Mechanical-Lock Spindle Blind Rivets Flush-Head Blind Fasteners Friction-Lock Blind Rivets Mechanical-Lock Spindle Blind Rivets Flush-Head Blind Bolts SWAGED COLLAR/UPSET-PIN FASTENERS Protruding-Head Swaged Collar Fastener Joints Flush-Head Swaged Collar Fastener Joints THREADED FASTENERS Protruding-Head Threaded Fastener Joints Flush-Head Threaded Fastener Joints SPECIAL FASTENERS Fastener Sleeves A-286 ACRES Sleeves in 7075-T6 Aluminum Alloy Sheet and Plate Sleeve Bolts Historical - Non-Confirmed Sunset Fastener Tables METALLURGICAL JOINTS INTRODUCTION AND DEFINITIONS WELDED JOINTS Fusion Welding Arc and Gas Flash and Pressure Welding TOC 8-1

26 Spot and Seam Welding Design Shear Strengths for Spot and Seam Welds in Uncoated Steels and Nickel and Cobalt Alloys Design Shear Strengths for Spot and Seam Weldings in Aluminum Alloys BEARINGS, PULLEYS, AND WIRE ROPE REFERENCES -Chapter TOC 8-2

27 MMPDS-12, Chapter 9 Chapter 9 - GUIDELINES FOR THE PRESENTATION OF DATA GENERAL INFORMATION INTRODUCTION CROSS INDEX APPLICABILITY APPROVAL PROCEDURES DOCUMENTATION REQUIREMENTS SUMMARY Data Basis Data Basis for Mechanical Properties (Chapters 2-7) Data Basis for Mechanically Fastened Joint Allowables (Chapter 8) Rounding Procedures Applicable Analysis Methods MATERIAL, SPECIFICATION, TESTING, AND DATA REQUIREMENTS MATERIAL REQUIREMENTS SPECIFICATION REQUIREMENTS Requirements for Products Controlled by Material Specifications Not Listed in Required Test Methods/Procedures Mechanical-Property Terms Testing Direction and Specimen Location Tension, Compression, Shear and Bearing Other Static Properties Modulus and Poisson s Ratio Physical Properties Required Test Methods to Determine Dynamic and Time Dependent Properties Fatigue Fatigue Crack Growth Fracture Toughness Creep and Creep Rupture Mechanically Fastened Joints Fusion-Welded Joints DATA REQUIREMENTS S-Basis Values A- and B-Basis Values TOC

28 Derived Property Values Other Static Properties Modulus of Elasticity Typical Stress-Strain Curves Elevated Temperature Curves Complex Exposure Curves Data Requirements for Determination of Dynamic and Time DependentProperties Fatigue Fatigue Crack Growth Fracture Toughness Creep and Creep Rupture Mechanically Fastened Joints Introduction of a New Fastener System Sample Fasteners General Data Requirements (a) - Shear Strength of Fastener (b) - Tensile Properties of Sheet (c) - Tensile Strength of Fastener (d) - Assembled Joint Strength Confirmatory Data Fastener Strength Table Sunset Clause Sunset Confirmatory Data Sets Sunset Conformance Criteria Non-conforming Sunset Fastener Systems Replacement Tables for Non-conforming Sunset Fastener Systems Fusion-Welded Joints EXPERIMENTAL DESIGN Uniformity of Sample Size across Thickness Range Fatigue Creep-Ruptur Fusion-Welded Joints Basic Population Definition Subpopulation Definition Welding Procedure SUBMISSION OF DATA RECOMMENDED PROCEDURES COMPUTER SOFTWARE TOC 9-2

29 9.3.3 INTRODUCTORY SECTION GENERAL DATA FORMATS Data Format for the Computation of T99 and T90 Values Data Format for Derived Properties Data Format for the Construction of Typical Stress-Strain Curves Data Format for Fasteners Data Format for Other Properties SUBSTANTIATION OF PROPERTIES S-BASIS MINIMUM PROPERTIES VALIDATING DESIGN PROPERTIES FOR EXISTING MATERIALS (WHEN A CHANGE IN PROCESSING HAS OCCURRED) CONFIRMATION OF DESIGN PROPERTIES FOR LEGACY ALLOYS Initial Steps and Analysis Increase in Design Properties Decrease in Design Properties Derived Properties ANALYSIS PROCEDURES FOR STATISTICALLY COMPUTED MINIMUM STATIC PROPERTIES SPECIFYING THE POPULATION Deciding Between Direct and Indirect Computation Testing for Regression Effects and Homogeneity Data Transformation Use of Transformed Data with Backoff Correcting for Bias Transformation of Variables in a Regression Analysis REGRESSION ANALYSIS Linear Regression Quadratic Regression Tests for Adequacy of a Regression Combinability of Data The k-sample Anderson-Darling Test The F Test The t Test Determining the Form of Distribution Anderson-Darling Test for Normality Normal Probability Plot TOC 9-3

30 Three-Parameter Weibull Acceptability Test Modified Anderson-Darling Test for Pearsonality The Pearson Backoff Option Pearson Probability Plot Modified Anderson-Darling Test for Weibullness Estimating the Threshold Parameter Estimating the Shape and Scale Parameters Calculating the Anderson-Darling Statistic The Weibull Backoff Option Weibull Probability Plots Detection of Lower-Tail Truncation Effect of Sample Size and Percent Truncation on Power of the Test DIRECT COMPUTATION WITHOUT REGRESSION Sequential Pearson Procedure Sequential Weibull Procedure Nonparametric Procedure Censored Normal Procedure DIRECT COMPUTATION BY REGRESSION ANALYSIS Performing the Regression INDIRECT COMPUTATION WITHOUT REGRESSION (REDUCED RATIOS/DERIVED PROPERTIES) Treatment of Grain Direction Treatment of Test Specimen Location Treatment of Clad Aluminum Alloy Plate Computational Procedure INDIRECT COMPUTATION USING REGRESSION Handling of Derived Property Test Results Below Estimated DesignAllowable INDIRECT COMPUTATION OF EDGEWISE BEARING REDUCTIONS ANALYSIS PROCEDURES FOR DYNAMIC AND TIME DEPENDENT PROPERTIES LOAD AND STRAIN CONTROL FATIGUE DATA Data Collection and Interpretation Analysis of Data Fatigue Life Models Evaluation of Mean Stress and Strain Effects Estimation of Fatigue-Life Model Parameters Treatment of Outliers Assessment of the Fatigue Life Model Data Set Combination TOC 9-4

31 Treatment of Runouts Recognition of Time Dependent Effects Estimation of Lower Tolerance Bounds for Fatigue Data FATIGUE CRACK GROWTH DATA Data Collection and Interpretation FRACTURE TOUGHNESS DATA Plane-Strain Fracture Toughness Data Data Collection and Interpretation Plane Stress and Transitional Fracture Toughness Data Collection and Interpretation Analysis of Data Crack Resistance (R-Curve) Data Collection and Interpretation CREEP AND CREEP-RUPTURE DATA Data Collection and Interpretation Analysis of Data ANALYSIS PROCEDURES FOR STRUCTURAL JOINT PROPERTIES MECHANICALLY FASTENED JOINTS Definitions Yield Load Determination Shear Strength of Fastener Sheet Critical and Transition Critical Strengths Calculation of Allowable Loads FUSION-WELDED JOINT DATA Data Collection and Interpretation Base Materials Welding Process Variables Weld Character Data Analysis EXAMPLES OF DATA ANALYSIS AND DATA PRESENTATION FOR STATIC PROPERTIES DIRECT ANALYSES OF MECHANICAL PROPERTIES INDIRECT ANALYSES OF MECHANICAL PROPERTIES TABULAR DATA PRESENTATION Mechanical Properties Modulus of Elasticity and Poisson s Ratio Physical Properties ROOM TEMPERATURE GRAPHICAL MECHANICAL PROPERTY DATA Typical Stress-Strain TOC 9-5

32 Strain Departure Method Ramberg-Osgood Method Bron Model (Extension of the Ramberg-Osgood Method) Relevance Criterion for the Bron Model Compression-Tangent- Modulus Curves Column Buckling Analyses Column Buckling Footnotes for Tangent Modulus Curves Full Range Tensile Stress-Strain Curves Minimum Stress-Strain and Stress Tangent-Modulus Curves Biaxial Stress-Strain Behavior Mathematical Representation of Stress-Strain Curves Proportional Limit Stress in Tension and Compression Compression Tangent Modulus Curves ELEVATED TEMPERATURE GRAPHICAL MECHANICAL PROPERTIES Strength Properties Determination of Working Curves Preparation of Finished Curves Elongation and Reduction of Area Modulus of Elasticity Physical Properties Effect of Thermal Exposure on Room Temperature Strength Effect of Thermal Exposure on Elevated Temperature Strength Simple Exposure Complex Exposure EXAMPLES OF DATA FOR DYNAMIC AND TIME DEPENDANT PROPERTIES FATIGUE Load Control Strain Control FATIGUE CRACK GROWTH FRACTURE TOUGHNESS Plane Strain Plane Stress CREEP AND CREEP RUPTURE Creep-Rupture Example Problem Mechanically Fastened Joints Example Analysis Problem for Three Diameter Blind Fastener Dataset Fusion-Welded Joints Additional Information TOC 9-6

33 Room-Temperature Properties Data on Effect of Temperature Use of Design Data STATISTICAL TABLES REFERENCES - Chapter APPENDICES A-1 APPENDIX A - Glossary A-1 A.1 Abbreviations A-1 A.2 Symbols A-6 A.3 Definitions A-6 A.4 Conversion of US Units of Measure Used in MMPDS to SI Units A-17 APPENDIX B - Alloy Index B-1 APPENDIX C - Specification Index C-1 C.1 Cross Reference of Canceled MIL Specifications C-14 APPENDIX D - Testing Standards D-1 APPENDIX E - Subject Index E-1 TOC 9-7

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