Mathematics
Mechanics of Materials:
Stress and strain, Elastic constants, Poisson's ratio; Mohr’s circle for plane stress and plane strain; Shear force and bending moment diagrams, Deflection of beams. Torsion of circular shafts; Euler’s theory of columns; energy methods, Failure theories.
Engineering Mechanics:
Free body diagrams and equilibrium; trusses and frames; virtual work; kinematics and dynamics of particles and of rigid bodies in plane motion, including impulse and momentum (linear and angular) and energy formulations; impact loading.
Theory of Machines:
Displacement, velocity and acceleration analysis of plane mechanisms; dynamic analysis of slider-crank mechanism; gear trains; flywheels. Free vibration and forced vibration of single degree of freedom systems, Effect of damping; Vibration isolation; Resonance; Critical speeds of shafts.
Machine Design:
Design for static and dynamic loading; SN diagram; Design of machine elements for bolted, riveted and welded joints; Design of shafts, gears, brakes and springs.
Thermodynamics:
Basic concepts and definitions-Properties of gas and pure substance- First law for closed system; Application of steady state flow process; Second law of thermodynamics; Carnot cycle; Otto cycle; Diesel cycle; Rankine cycle; Brayton cycle, Vapour compression refrigeration cycle.
Fluid Mechanics:
Fluid properties; fluid statics, manometry, buoyancy; control-volume analysis of mass, momentum and energy; fluid acceleration; differential equations of continuity and momentum; Bernoulli’s equation; viscous flow of incompressible fluids; boundary layer; elementary turbulent flow; flow through pipes, head losses in pipes, bends etc.
Heat transfer:
Basic modes of heat transfer; General heat conduction equation; Steady and unsteady heat conduction; Natural and forced convection; Laws of radiation. Heat exchanger performance, LMTD and NTU methods.
Metal Casting and Forming:
Design of patterns, moulds and cores; solidification and cooling; riser and gating design, design considerations. Plastic deformation and yield criteria; fundamentals of hot and cold working processes; sheet (shearing, deep drawing, bending) metal forming processes; principles of powder metallurgy.
Machining and Machine Tool Operations:
Mechanics of machining, single and multi-point cutting tools, tool geometry and materials, tool life and wear; economics of machining; principles of non-traditional machining processes; principles of work holding, principles of design of jigs and fixtures, Non-conventional machining.
Industrial Engineering:
Constraint and unconstraint optimization techniques, Practical aspects of optimization-Forecasting, Aggregate production planning and scheduling, Inventory analysis and control, Project planning, Linear programming; Transportation-Assignment models; Sequencing; Simple queuing.
