APPLIED STATICS
1 INTRODUCTION MECHANICS OVERVIEW APPLICATIONS OF STATICS THE MATHEMATICS OF STATICS CALCULATIONS AND NUMERICAL ACCURACY CALCULATIONS AND DIMENSIONAL ANALYSIS SI UNITS FOR STATICS AND STRENGTH OF MATERIALS SUMMARY BY SECTION NUMBER PROBLEMS 2 PRINCIPLES OF STATICS FORCES AND THE EFFECTS OF FORCES CHARACTERISTICS OF A FORCE UNITS OF A FORCE TYPES AND OCCURRENCE OF FORCES SCALAR AND VECTOR QUANTITIES THE PRINCIPLE OF TRANSMISSIBILITY TYPES OF FORCE SYSTEMS SIGN CONVENTION FOR FORCES ORTHOGONAL CONCURRENT FORCES: RESULTANTS AND COMPONENTS 3 RESULTANTS OF COPLANAR FORCE SYSTEMS RESULTANT OF TWO CONCURRENT FORCES RESULTANT OF THREE OR MORE CONCURRENT FORCES MOMENT OF A FORCE THE PRINCIPLE OF MOMENTS: VARIGNON’S THEOREM RESULTANTS OF PARALLEL FORCE SYSTEMS COUPLES RESULTANTS OF NONCONCURRENT FORCE SYSTEMS DETAILED CONTENTS 4 EQUILIBRIUM OF COPLANAR FORCE SYSTEMS INTRODUCTION CONDITIONS OF EQUILIBRIUM THE FREE-BODY DIAGRAM EQUILIBRIUM OF CONCURRENT FORCE SYSTEMS EQUILIBRIUM OF PARALLEL FORCE SYSTEMS EQUILIBRIUM OF NONCONCURRENT FORCE SYSTEMS 5 ANALYSIS OF STRUCTURES TRUSSES FORCES IN MEMBERS OF TRUSSES THE METHOD OF JOINTS THE METHOD OF SECTIONS ANALYSIS OF FRAMES 6 FRICTION FRICTION THEORY ANGLE OF FRICTION FRICTION APPLICATIONS WEDGES BELT FRICTION SQUARE-THREADED SCREWS 7 CENTROIDS AND CENTERS OF GRAVITY CENTER OF GRAVITY CENTROIDS AND CENTROIDAL AXES CENTROIDS AND CENTROIDAL AXES OF COMPOSITE AREAS TENSION AND COMPRESSION CAUSED BY SHEAR 12 TORSION IN CIRCULAR SECTIONS MEMBERS IN TORSION TORSIONAL SHEAR STRESS ANGLE OF TWIST TRANSMISSION OF POWER BY A SHAFT 13 SHEAR AND BENDING MOMENT IN BEAMS TYPES OF BEAMS AND SUPPORTS TYPES OF LOADS ON BEAMS BEAM REACTIONS SHEAR FORCE AND BENDING MOMENT SHEAR DIAGRAMS MOMENT DIAGRAMS SECTIONS OF MAXIMUM MOMENT MOVING LOADS 14 STRESSES IN BEAMS TENSILE AND COMPRESSIVE STRESSES DUE TO BENDING THE FLEXURE FORMULA COMPUTATION OF BENDING STRESSES SHEAR STRESSES THE GENERAL SHEAR FORMULA SHEAR STRESSES IN STRUCTURAL MEMBERS INELASTIC BENDING OF BEAMS BEAM ANALYSIS 15 DEFLECTION OF BEAMS REASONS FOR CALCULATING BEAM DEFLECTION CURVATURE AND BENDING MOMENT METHODS OF CALCULATING DEFLECTION THE FORMULA METHOD THE MOMENT-AREA METHOD 8 AREA MOMENTS OF INERTIA MOMENT OF INERTIA THE TRANSFER FORMULA MOMENT OF INERTIA OF COMPOSITE AREAS RADIUS OF GYRATION POLAR MOMENT OF INERTIA 9 STRESSES AND STRAINS TENSILE AND COMPRESSIVE STRESSES TENSILE AND COMPRESSIVE STRAIN AND DEFORMATION SHEAR STRAIN THE RELATION BETWEEN STRESS AND STRAIN (HOOKE’S LAW) 10 PROPERTIES OF MATERIALS THE TENSION TEST THE STRESS–STRAIN DIAGRAM MECHANICAL PROPERTIES OF MATERIALS ENGINEERING MATERIALS: METALS ENGINEERING MATERIALS: NONMETALS ALLOWABLE STRESSES AND CALCULATED STRESSES FACTOR OF SAFETY ELASTIC–INELASTIC BEHAVIOR 11 STRESS CONSIDERATIONS POISSON’S RATIO THERMAL EFFECTS MEMBERS COMPOSED OF TWO OR MORE COMPONENTS STRESS CONCENTRATION STRESSES ON INCLINED PLANES SHEAR STRESSES ON MUTUALLY PERPENDICULAR PLANES STRENGTH AND BEHAVIOR OF WELDED CONNECTIONS (AISC) 20 PRESSURE VESSELS STRESSES IN THIN-WALLED PRESSURE VESSELS JOINTS IN THIN-WALLED PRESSURE VESSELS DESIGN AND FABRICATION CONSIDERATIONS 21 STATICALLY INDETERMINATE BEAMS RESTRAINED BEAMS PROPPED CANTILEVER BEAMS FIXED BEAMS CONTINUOUS BEAMS: SUPERPOSITION THE THEOREM OF THREE MOMENTS MOMENT DIAGRAM BY PARTS APPLICATIONS OF THE MOMENT-AREA METHOD 16 DESIGN OF BEAMS THE DESIGN PROCESS DESIGN OF STEEL BEAMS DESIGN OF TIMBER BEAMS 17 COMBINED STRESSES BIAXIAL BENDING COMBINED AXIAL AND BENDING STRESSES ECCENTRICALLY LOADED MEMBERS MAXIMUM ECCENTRICITY FOR ZERO TENSILE STRESS ECCENTRIC LOAD NOT ON CENTROIDAL AXIS COMBINED NORMAL AND SHEAR STRESSES MOHR’S CIRCLE MOHR’S CIRCLE: THE GENERAL STATE OF STRESS 18 COLUMNS IDEAL COLUMNS EFFECTIVE LENGTH REAL COLUMNS ALLOWABLE STRESSES FOR COLUMNS AXIALLY LOADED STRUCTURAL STEEL COLUMNS (AISC) AXIALLY LOADED STEEL MACHINE PARTS AXIALLY LOADED TIMBER COLUMNS 19 CONNECTIONS BOLTS AND BOLTED CONNECTIONS (AISC) MODES OF FAILURE OF A BOLTED CONNECTION HIGH-STRENGTH BOLTED CONNECTIONS INTRODUCTION TO WELDING