THE TUTORIAL STATICS

By DAVID MARTINEZ

TABLE OF CONTENTS INTRODUCTION FORCE CHARACTERISTICS AND REPRESENTATION OF A FORCE THE RIGID BODY CLASSI?CATION OF FORCES, FREE-BODY DIAGRAM LAW OF ACTION AND REACTION DIMENSIONS AND UNITS SOLUTION OF STATICS PROBLEMS, ACCURACY SUMMARY ADDITION OF FORCES IN A PLANE DECOMPOSITION OF FORCES IN A PLANE, REPRESENTATION IN CARTESIAN COORDINATES EQUILIBRIUM IN A PLANE EXAMPLES OF COPLANAR SYSTEMS OF FORCES CONCURRENT SYSTEMS OF FORCES IN SPACE SUPPLEMENTARY EXAMPLES GENERAL SYSTEMS OF FORCES IN A PLANE COUPLE AND MOMENT OF A COUPLE MOMENT OF A FORCE RESULTANT OF SYSTEMS OF COPLANAR FORCES EQUILIBRIUM CONDITIONS GENERAL SYSTEMS OF FORCES IN SPACE THE MOMENT VECTOR CENTER OF FORCES CENTER OF GRAVITY AND CENTER OF MASS CENTROID OF AN AREA CENTROID OF A LINE PLANE STRUCTURES SUPPORTS STATICAL DETERMINACY DETERMINATION OF THE SUPPORT REACTIONS SPATIAL STRUCTURES MULTI-PART STRUCTURES THREE-HINGED ARCH HINGED BEAM KINEMATICAL DETERMINACY STATICALLY DETERMINATE TRUSSES DESIGN OF A TRUSS DETERMINATION OF THE INTERNAL FORCES METHOD OF JOINTS METHOD OF SECTIONS STRESS RESULTANTS STRESS RESULTANTS IN STRAIGHT BEAMS BEAMS UNDER CONCENTRATED LOADS RELATIONSHIP BETWEEN LOADING AND STRESS RESULTANTS INTEGRATION AND BOUNDARY CONDITIONS MATCHING CONDITIONS POINTWISE CONSTRUCTION OF THE DIAGRAMS STRESS RESULTANTS IN FRAMES AND ARCHES STRESS RESULTANTS IN SPATIAL STRUCTURES WORK AND POTENTIAL ENERGY PRINCIPLE OF VIRTUAL WORK EQUILIBRIUM STATES AND FORCES IN NONRIGID SYSTEMS REACTION FORCES AND STRESS RESULTANTS STABILITY OF EQUILIBRIUM STATES BASIC PRINCIPLES COULOMB THEORY OF FRICTION BELT FRICTION