Engineering Mechanics: Statics
Theoretical derivations, free-body diagrams, solved practice problems, and user-friendly computational codes paired with interactive engineering solvers.
General Principles & Introduction to Statics
Fundamental Concepts, Idealizations, Newton's Laws, and Systems of Units
Statics and Equilibrium of a Particle
Scalars, Cartesian Vectors, Coplanar Forces, and 3D Equilibrium
Force System Resultants & Moments
Moment of a Force (Scalar & Vector), Couples, and Equivalent Force-Couple Systems
Equilibrium of Rigid Bodies
Free-Body Diagrams, 2D/3D Support Reactions, and Static Determinacy
Centroids, Center of Gravity & Distributed Loads
Centroid of Lines, Areas, Volumes, Composite Bodies, and Hydrostatic Loading
Structural Analysis: Trusses, Frames & Machines
Method of Joints, Method of Sections, Zero-Force Members, and Multiforce Frames
Internal Forces: Shear Force & Bending Moment
Sign Conventions, Segment Equilibrium, and Shear/Moment Diagrams for Beams
Friction & Dry Contact Mechanics
Coulomb Friction Laws, Wedges, Screws, and Belt Friction under Impending Motion
Moments of Inertia & Mohr's Circle
Second Moments of Area, Parallel-Axis Theorem, Principal Axes, and Mohr's Circle
Deflection of Determinate Structures by Virtual Work
Unit Load Method for Trusses and Beams, Virtual Work Formulation, and MATLAB Computations