ELEMENTARY STATICS OF TWO AND THREE DIMENSIONS

By I. NAINU

CONTENTS CHAPTER INTRODUCTION TO STATICS INTRODUCTION NEWTONIAN MECHANICS FUNDAMENTAL PROPERTIES OF VECTORS REPRESENTATION OF VECTORS USING RECTANGULAR COMPONENTS VECTOR MULTIPLICATION CHAPTER BASIC OPERATIONS WITH FORCE SYSTEMS EQUIVALENCE OF VECTORS FORCE REDUCTION OF CONCURRENT FORCE SYSTEMS MOMENT OF A FORCE ABOUT A POINT MOMENT OF A FORCE ABOUT AN AXIS COUPLES CHANGING THE LINE OF ACTION OF A FORCE RESULTANTS OF FORCE SYSTEMS REDUCTION OF A FORCE SYSTEM TO A FORCE AND A COUPLE DE?NITION OF RESULTANT RESULTANTS OF COPLANAR FORCE SYSTEMS RESULTANTS OF THREE-DIMENSIONAL SYSTEMS INTRODUCTION TO DISTRIBUTED NORMAL LOADS COPLANAR EQUILIBRIUM ANALYSIS DE?NITION OF EQUILIBRIUM PART A: ANALYSIS OF SINGLE BODIES FREE-BODY DIAGRAM OF A BODY COPLANAR EQUILIBRIUM EQUATIONS WRITING AND SOLVING EQUILIBRIUM EQUATIONS EQUILIBRIUM ANALYSIS FOR SINGLE-BODY PROBLEMS PART B: ANALYSIS OF COMPOSITE BODIES FREE-BODY DIAGRAMS INVOLVING INTERNAL REACTIONS EQUILIBRIUM ANALYSIS OF COMPOSITE BODIES SPECIAL CASES: TWO-FORCE AND THREE-FORCE BODIES PART C: ANALYSIS OF PLANE TRUSSES DESCRIPTION OF A TRUSS METHOD OF JOINTS METHOD OF SECTIONS THREE-DIMENSIONAL EQUILIBRIUM FREE-BODY DIAGRAMS INDEPENDENT EQUILIBRIUM EQUATIONS IMPROPER CONSTRAINTS EQUILIBRIUM ANALYSIS BEAMS AND CABLES PART A: BEAMS INTERNAL FORCE SYSTEMS ANALYSIS OF INTERNAL FORCES AREA METHOD FOR DRAWING V- AND M-DIAGRAMS PART B: CABLES CABLES UNDER DISTRIBUTED LOADS CABLES UNDER CONCENTRATED LOADS DRY FRICTION COULOMB’S THEORY OF DRY FRICTION PROBLEM CLASSI?CATION AND ANALYSIS IMPENDING TIPPING ANGLE OF FRICTION; WEDGES AND SCREWS ROPES AND FLAT BELTS DISK FRICTION ROLLING RESISTANCE CENTROIDS AND DISTRIBUTED LOADS CENTROIDS OF PLANE AREAS AND CURVES CENTROIDS OF CURVED SURFACES, VOLUMES, AND SPACE CURVES THEOREMS OF PAPPUS-GULDINUS CENTER OF GRAVITY AND CENTER OF MASS DISTRIBUTED NORMAL LOADS * INDICATES OPTIONAL ARTICLES CHAPTER MOMENTS AND PRODUCTS OF INERTIA OF AREAS MOMENTS OF INERTIA OF AREAS AND POLAR MOMENTS OF INERTIA PRODUCTS OF INERTIA OF AREAS TRANSFORMATION EQUATIONS AND PRINCIPAL MOMENTS OF INERTIA OF AREAS MOHR’S CIRCLE FOR MOMENTS AND PRODUCTS OF INERTIA VIRTUAL WORK AND POTENTIAL ENERGY VIRTUAL DISPLACEMENTS VIRTUAL WORK METHOD OF VIRTUAL WORK INSTANT CENTER OF ROTATION EQUILIBRIUM AND STABILITY OF CONSERVATIVE SYSTEMS