GRAPHICS FOR ENGINEERS, ARCHITECTS, AND BUILDERS: TRUSSES AND ARCHES

By W. FAUND

1 Basics of Engineering Mechanics 1 Mass, Force and Weight 1 Scalar and Vector Quantities 2 Laws of Mechanics 3 Law of Gravitational Attraction 3 Principle of Transmissibility 4 Laws of Forces 4 Useful Data 11 2 Concurrent Forces in Space 18 Types of Vectors 19 Addition of Vectors 19 Components of a Vector in terms of Unit Vectors 20 Moment of a Couple 35 3 Coplanar, Collinear and Cocurrent Forces 48 Resolution of Forces 48 Lami’s Theorem 57 4 Parallel Forces in a Plane, Moments and Couples 73 Varignon’s Theorem 75 5 Friction 104 Angle of Friction 105 Laws of Solid Friction 105 Cone of Friction 108 Angle of Repose 108 Rolling Resistance 133 6 Lifting Machines 150 Differential Pulley Block 164 Wheel and Axle 166 Simple Screw Jack 167 Differential Wheel and Axle 170 Worm and Worm Wheel 172 Single Purchase Winch Crab 174 Double Purchase Winch Crab 176 Differential Screw Jack 178 Differential Wheel and Axle 180 Worm Geared Screw Jack 182 7 Centroid, Centre of Mass, Centre of Gravity 187 Determination of the Centroid of an Area 187 Centre of Gravity of Hemisphere (Solid) 215 Centre of Gravity of a Thin Hollow Hemisphere 216 First Theorem of Guldin (or Pappus) 217 Second Theorem of Guldin (or Pappus) 217 8 Moment of Inertia 230 Moment of Inertia 230 Parallel Axes Theorem 232 Moment of Inertia of Triangular Plate about Its Base 234 Moment of Inertia (MOI) of Solid Cylinder 235 Second Moment of Area 238 Moment of Inertia of Areas of Different Shapes 242 Product of Inertia 255 Determination of Principal Axes and Principal Moments of Inertia 261 Mohr’s Circle for Principal Moments of Inertia 262 9 Frameworks 268 Graphical Method 269 Method of Joints 278 The Method of Sections 291 10 Shear Force and Bending Moment Diagrams 309 Shear Force and Bending Moments 311 11 Equilibrium of Strings and Cables 353 Cable Carrying Uniformly Distributed Load 363 Cable Supports at Different Levels 368 Catenary Cable 376 12 Virtual Work 385