You Are Summoned: A LitRPG Adventure

"This book is a combined abridged version of Engineering Mechanics: Statics and Mechanics of Materials. It provides a clear and precise presentation of the fundamental topics of both these subjects"-- Provided by publisher Cover Title Page Copyright Page Preface Contents Credits 1 General Principles Chapter Objectives 1.1 Mechanics 1.2 Fundamental Concepts 1.3 The International System of Units 1.4 Numerical Calculations 1.5 General Procedure for Analysis 2 Force Vectors Chapter Objectives 2.1 Scalars and Vectors 2.2 Vector Operations 2.3 Vector Addition of Forces 2.4 Addition of a System of Coplanar Forces 2.5 Cartesian Vectors 2.6 Addition of Cartesian Vectors 2.7 Position Vectors 2.8 Force Vector Directed Along a Line 2.9 Dot Product 3 Force System Resultants Chapter Objectives 3.1 Moment of a Force—scalar Formulation 3.2 Principle of Moments 3.3 Cross Product 3.4 Moment of a Force—vector Formulation 3.5 Moment of a Force About a Specified Axis 3.6 Moment of a Couple 3.7 Simplification of a Force and Couple System 3.8 Further Simplification of a Force and Couple System 3.9 Reduction of a Simple Distributed Loading 4 Equilibrium of a Rigid Body Chapter Objectives 4.1 Conditions for Rigid-body Equilibrium 4.2 Free-body Diagrams 4.3 Equations of Equilibrium 4.4 Two- and Three-force Members 4.5 Free-body Diagrams 4.6 Equations of Equilibrium 4.7 Characteristics of Dry Friction 4.8 Problems Involving Dry Friction 5 Structural Analysis Chapter Objectives 5.1 Simple Trusses 5.2 The Method of Joints 5.3 Zero-force Members 5.4 The Method of Sections 5.5 Frames and Machines 6 Center of Gravity, Centroid, and Moment of Inertia Chapter Objectives 6.1 Center of Gravity and the Centroid of a Body 6.2 Composite Bodies 6.3 Moments of Inertia for Areas 6.4 Parallel-axis Theorem for an Area 6.5 Moments of Inertia for Composite Areas 7 Stress and Strain Chapter Objectives 7.1 Introduction 7.2 Internal Resultant Loadings 7.3 Stress 7.4 Average Normal Stress in an Axially Loaded Bar 7.5 Average Shear Stress 7.6 Allowable Stress Design 7.7 Deformation 7.8 Strain 8 Mechanical Properties of Materials Chapter Objectives 8.1 The Tension and Compression Test 8.2 The Stress–strain Diagram 8.3 Stress–strain Behavior of Ductile and Brittle Materials 8.4 Strain Energy 8.5 Poisson’s Ratio 8.6 The Shear Stress–strain Diagram 9 Axial Load Chapter Objectives 9.1 Saint-venant’s Principle 9.2 Elastic Displacement of an Axially Loaded Member 9.3 Principle of Superposition 9.4 Statically Indeterminate Axially Loaded Members 9.5 The Force Method of Analysis for Axially Loaded Members 9.6 Thermal Stress 9.7 Stress Concentrations 10 Torsion Chapter Objectives 10.1 Torsional Deformation of a Circular Shaft 10.2 The Torsion Formula 10.3 Power Transmission 10.4 Angle of Twist 10.5 Statically Indeterminate Torque-loaded Members *10.6 Solid Noncircular Shafts 10.7 Stress Concentration 11 Bending Chapter Objectives 11.1 Internal Loading as a Function of Position 11.2 Graphical Method for Constructing Shear and Moment Diagrams 11.3 Bending Deformation of a Straight Member 11.4 The Flexure Formula 11.5 Unsymmetric Bending 11.6 Stress Concentrations 12 Transverse Shear Chapter Objectives 12.1 Shear in Straight Members 12.2 The Shear Formula 12.3 Shear Flow in Built-up Members 13 Combined Loadings Chapter Objectives 13.1 Thin-walled Pressure Vessels 13.2 State of Stress Caused by Combined Loadings 14 Stress and Strain Transformation Chapter Objectives 14.1 Plane-stress Transformation 14.2 General Equations of Plane Stress Transformation 14.3 Principal Stresses and Maximum In-plane Shear Stress 14.4 Mohr's Circle—plane Stress 14.5 Absolute Maximum Shear Stress 14.6 Plane Strain 14.7 General Equations of Plane-strain Transformation 14.8 Mohr’s Circle—plane Strain *14.9 Absolute Maximum Shear Strain 14.10 Strain Rosettes 14.11 Material Property Relationships 15 Design of Beams and Shafts Chapter Objectives 15.1 Basis for Beam Design 15.2 Prismatic Beam Design 16 Deflection of Beams and Shafts Chapter Objectives 16.1 The Elastic Curve 16.2 Slope and Displacement by Integration *16.3 Discontinuity Functions 16.4 Method of Superposition 16.5 Statically Indeterminate Beams and Shafts—method of Superposition 17 Buckling of Columns Chapter Objectives 17.1 Critical Load 17.2 Ideal Column with Pin Supports 17.3 Columns Having Various Types of Supports *17.4 The Secant Formula Appendix A. Mathematical Review and Expressions B. Geometric Properties of an Area and Volume C. Geometric Properties of Wide-Flange Sections D. Slopes and Deflections of Beams Fundamental Problem Solutions Answers to Selected Problems Index FEP EP