Mechanics of materials for dummies : [learn to: understand key machanics concepts ; grasp principles of stress, strain, and deformation and their interactions ; solve indeterminate statics problems

Your ticket to excelling in mechanics of materials With roots in physics and mathematics, engineering mechanics is the basis of all the mechanical sciences: civil engineering, materials science and engineering, mechanical engineering, and aeronautical and aerospace engineering. Tracking a typical undergraduate course, Mechanics of Materials For Dummies gives you a thorough introduction to this foundational subject. You'll get clear, plain-English explanations of all the topics covered, including principles of equilibrium, geometric compatibility, and material behavior; stress and its relation to force and movement; strain and its relation to displacement; elasticity and plasticity; fatigue and fracture; failure modes; application to simple engineering structures, and more. Tracks to a course that is a prerequisite for most engineering majors Covers key mechanics concepts, summaries of useful equations, and helpful tips From geometric principles to solving complex equations, Mechanics of Materials For Dummies is an invaluable resource for engineering students! Mechanics of Materials For Dummies 1 Table of Contents 9 Introduction 17 About This Book 17 Conventions Used in This Book 18 What You’re Not to Read 19 Foolish Assumptions 19 How This Book Is Organized 20 Icons Used in This Book 22 Where to Go from Here 22 Part I: Setting the Stage for Mechanics of Materials 23 Chapter 1: Predicting Behavior with Mechanics of Materials 25 Tying Statics and Mechanics Together 26 Defining Behavior in Mechanics of Materials 27 Using Stresses to Study Behavior 28 Studying Behavior through Strains 28 Incorporating the “Material” into Mechanics of Materials 29 Putting Mechanics to Work 29 Chapter 2: Reviewing Mathematics and Units Used in Mechanics of Materials 31 Grasping Important Geometry Concepts 31 Tackling Simultaneous Algebraic Equations 32 Taking On Basic Trig Identities 34 Covering Basic Calculus 34 Working with Units in Mechanics of Materials 37 Chapter 3: Brushing Up on Statics Basics 41 Sketching the World around You with Free-Body Diagrams 41 Reviewing Equilibrium for Statics 46 Locating Internal Forces at a Point 47 Finding Internal Loads at Multiple Locations 48 Chapter 4: Calculating Properties of Geometric Areas 57 Determining Cross-Sectional Area 57 Finding the Centroid of an Area 63 Chapter 5: Computing Moments of Area and Other Inertia Calculations 71 Referencing with the Centroidal Axis 72 Computing Q, the First Moment of Area 73 Encore! Encore! I, a Second Moment of Area 79 Calculating Basic Area Moments of Inertia 82 Having It Both Ways with Product Moments of Area 89 Putting a Twist on Polar Moments of Inertia 92 Computing Principal Moments of Inertia 94 Rounding Up the Radius of Gyration 98 Part II: Analyzing Stress 99 Chapter 6: Remain Calm, It’s Only Stress! 101 Dealing with a Stressful Relationship 101 Remaining Steady with Average Stress 104 Developing Stress at a Point 108 Containing Plane Stress 113 Chapter 7: More than Meets the Eye: Transforming Stresses 115 Preparing to Work with Stresses 115 Stress Transformation: Finding Stresses at a Specified Angle for One Dimension 120 Extending Stress Transformations to Plane Stress Conditions 122 Displaying the Effects of Transformed Stresses 125 When Transformed Stresses Aren’t Big Enough: Principal Stresses 129 Utilizing Mohr’s Circle for Plane Stress 136 Chapter 8: Lining Up Stress Along Axial Axes 147 Defining Axial Stress 147 Getting Your Bearings about Bearing Stresses 149 Containing Pressure with Pressure Vessels 152 When Average Stresses Reach a Peak: Finding Maximum Stress 157 Chapter 9: Bending Stress Is Only Normal: Analyzing Bending Members 165 Explaining Bending Stress 165 Handling Stresses in Bending 166 Solving Pure Bending Cases 168 Bending of Non-Prismatic Beams 174 Chapter 10: Shear Madness: Surveying Shear Stress 177 It’s Not Sheer Folly: Examining Shear Stress 177 Working with Average Shear Stresses 178 Exploring Shear Stresses from Flexural Loads 184 Calculating Shear Stresses by Using Shear Flow 187 Chapter 11: Twisting the Night Away with Torsion 193 Considering Torsion Characteristics 193 Working with Shear Stresses Due to Torsion 194 Computing Shear Stress from Torsion 198 Part III: Investigating Strain 205 Chapter 12: Don’t Strain Yourself: Exploring Strain and Deformation 207 Looking at Deformation to Find Strain 208 Normal and Shear: Seeking Some Direction on the Types of Strain 210 Expanding on Thermal Strains 214 Considering Plane Strains 216 Chapter 13: Applying Transformation Concepts to Strain 217 Extending Stress Transformations to Plane Strain Conditions 217 Calculating and Locating Principal Strain Conditions 221 Exploring Mohr’s Circle for Plane Strain 225 Gauging Strain with Strain Rosettes 228 Chapter 14: Correlating Stresses and Strains to Understand Deformation 231 Describing Material Behavior 232 Creating the Great Equalizer: Stress-Strain Diagrams 235 Exploring Stress-Strain Curves for Materials 237 Knowing Who’s Who among Material Properties 240 Relating Stress to Strain 243 Part IV: Applying Stress and Strain 249 Chapter 15: Calculating Combined Stresses 251 Understanding the Principle of Superposition: A Simple Case of Addition 252 Setting the Stage for Combining Stresses 253 Handling Multiple Axial Effects 255 Including Bending in Combined Stresses 257 Putting a Twist on Combined Stresses of Torsion and Shear 265 Chapter 16: When Push Comes to Shove: Dealing with Deformations 267 Covering Deformation Calculation Basics 268 Addressing Displacement of Axial Members 269 Discovering Deflections of Flexural Members 275 Angling for a Twist Angle 284 Chapter 17: Showing Determination When Dealing with Indeterminate Structures 289 Tackling Indeterminate Structures 289 Withdrawing Support: Creating Multiple Redundant Systems 291 Dealing with Multiple Materials 303 Using Rigid Behavior to Develop Compatibility 312 Chapter 18: Buckling Up for Compression Members 317 Getting Acquainted with Columns 317 Determining the Strength of Short Columns 320 Buckling Under Pressure: Analyzing Long, Slender Columns 321 Working with Intermediate Columns 326 Incorporating Bending Effects 327 Chapter 19: Designing for Required Section Properties 329 Structural Adequacy: Adhering to Formal Guidelines and Design Codes 330 Exploring Principles of the Design Process 331 Developing a Design Procedure 334 Designing Axial Members 336 Designing Flexural Members 339 Designing for Torsion and Power 344 Interacting with Interaction Equations 345 Chapter 20: Introducing Energy Methods 347 Obeying the Law of Conservation of Energy 348 Working with Internal and External Energy 349 Brace Yourself: Figuring Stresses and Displacements from Impact 355 Part V: The Part of Tens 359 Chapter 21: Ten Mechanics of Materials Pitfalls to Avoid 361 Failing to Watch Your Units 361 Not Determining Internal Forces First 361 Choosing the Wrong Section Property 362 Forgetting to Check for Symmetry in Bending Members 362 Carelessly Combining Stresses and Strains 362 Ignoring Generalized Hooke’s Law in Three Dimensions 363 Classifying Columns Incorrectly 363 Overlooking that Principal Normal Stresses Have No Shear 363 Neglecting to Test the Principal Angle after You Calculate It 364 Falling Victim to Tricky Issues with Mohr’s Circle 364 Chapter 22: Ten Tips to Solving Mechanics of Materials Problems 365 Do Your Statics 365 Expose Internal Forces 366 Identify How the Object Can Break 366 Compute Appropriate Section Properties 367 Sketch Combined Stress Elements 367 Transform Those Stresses! 368 Have Your Material Properties Handy 368 Apply Factors of Safety and Local Code Requirements 369 Compute Strains and Deformations for Your Stress Elements 369 Design for Deflections 369 Index 371

Your ticket to excelling in mechanics of materials

With roots in physics and mathematics, engineering mechanics is the basis of all the mechanical sciences: civil engineering, materials science and engineering, mechanical engineering, and aeronautical and aerospace engineering.

Tracking a typical undergraduate course, Mechanics of Materials For Dummies gives you a thorough introduction to this foundational subject. You'll get clear, plain-English explanations of all the topics covered, including principles of equilibrium, geometric compatibility, and material behavior; stress and its relation to force and movement; strain and its relation to displacement; elasticity and plasticity; fatigue and fracture; failure modes; application to simple engineering structures, and more.

• Tracks to a course that is a prerequisite for most engineering majors
• Covers key mechanics concepts, summaries of useful equations, and helpful tips

From geometric principles to solving complex equations, Mechanics of Materials For Dummies is an invaluable resource for engineering students!

**Your ticket to excelling in mechanics of materials**With roots in physics and mathematics, engineering mechanics is the basis of all the mechanical sciences: civil engineering, materials science and engineering, mechanical engineering, and aeronautical and aerospace engineering.Tracking a typical undergraduate course, __Mechanics of Materials For Dummies__ gives you a thorough introduction to this foundational subject. You'll get clear, plain-English explanations of all the topics covered, including principles of equilibrium, geometric compatibility, and material behavior; stress and its relation to force and movement; strain and its relation to displacement; elasticity and plasticity; fatigue and fracture; failure modes; application to simple engineering structures, and more.* Tracks to a course that is a prerequisite for most engineering majors* Covers...__The EPUB format of this title may not be compatible for use on all handheld devices.__ Provides Plain-english Explanations Of All The Topics You'll Encounter In A Typical Undergraduate Course, Including Principles Of Equilibrium, Geometric Compatibility, And Material Behavior; Stress And Its Relation To Force And Movement; Strain And Its Relation To Displacement; And Methods For Calculating Deformations And Indeterminate Systems.