Fundamental Principles & Concepts: Newton’s laws, gravitation, force (external and internal, transmissibility), couple, moment (about point and about axis), Couple and Couple moment, resultant of concurrent and non-concurrent coplanar forces, static equilibrium, free body diagram, reactions. Problem formulation concept; 2-D statics, two and three force members
Analysis of Structures – I: Assumptions, rigid and non-rigid trusses; Simple truss (plane and space), analysis by method of joints. Analysis of simple truss by method of sections; Compound truss (statically determinate, rigid, and completely constrained). Beams: types of loading and supports; shear force, bending moment.
Virtual Work and Energy Method – I: Virtual displacements, principle of virtual work for particle and ideal system of rigid bodies, degrees of freedom and the solution of problems.
Center of Mass & Area Moments of Inertia: First moment of area and centroid, mass and center of mass, centroids of lines, areas, volumes, composite bodies. Area moments- and products- of inertia, radius of gyration, transfer of axes, composite areas. Rotation of axes. Mass Moment of Inertia: Second moment of mass, Mass moments- and products- of inertia, radius of gyration, transfer of axes, flat plates (relation between area- and mass- moments- and products- of inertia), composite bodies. Rotation of axes.
Friction: Coulomb dry friction laws, simple surface contact problems, friction angles, types of problems, wedges. Belt friction. Square-threaded screw (self-locking, screw jack).
Kinematics of Particle: Rectilinear motion; Plane curvilinear motion (rectangular, path, and polar coordinates). 3-D curvilinear motion; Relative and constrained motion.
Kinetics of Particle: Newton’s 2nd law (rectangular path, and polar coordinates). Work-kinetic energy, power, potential energy. Impulse-momentum (linear, angular).