Fundamental principles & concepts: Vector algebra, Newton’s laws, gravitation, force (external and internal, transmissibility), couple, moment (about point and about axis), Varignon’s theorem, 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, alternate equilibrium equations, constraints and static determinacy; 3-D statics.
Analysis of Structures - I (Trusses, Frames, Machines):
Trusses: Assumptions, rigid and non-rigid trusses; Simple truss (plane and space), analysis by method of joints.
Trusses (contd): Analysis of simple truss by method of sections; Compound truss (statically determinate, rigid, and completely constrained).
L5 Analysis of frames and machines.
Analysis of Structures - II (Beams, Cables):
Internal forces; Beams: types of loading and supports; shear force, bending moment, and axial force diagrams.
Beams (contd): shear force and bending moment diagrams and equations relating them with external load.
Cables (coplanar): assumptions, parabolic and catenary cables.