Branch: Common Semester BE 1st/2nd semester Syllabus
Static of force systems Composition and resolution of forces, concurrent, non-concurrent and parallel forces in a plane, free body diagrams, Moment of a force and Varigon's theorem, conditions of equilibrium, polygon of forces and Funicular Polygon, equivalent force system, Bodies in equilibrium, structures under equilibrium, couple, moment of a couple, equivalent couple, addition of couples, illustrative exercises.
Centroid & Moment of Inertia, Friction Location of centroid and Moment of Inertia of plane areas, Perpendicular Axis and Parallel Axis theorems, Product of Inertia, Principal Axes and Principal Moment of solid bodies. Coloumb’s law of friction, Friction on inclined plane. Screw and Nut friction, Ladder and wedge friction, Friction in journal collar bearings, Uniform pressure and uniform wear.
Transmission of Power: Transmission of power through Belt, Rope and Gears, Ratio and tension on tight side and slack sides, Centrifugal tension, Lifting machines; Spur, Bevel, Worm gearing, Rack and Pinion gear, Gear Trains, Simple and compound pulleys.
Shear Force and Bending Moment: Shear Force and Bending moment Diagram for Cantilever and Simply supported beam with concentrated, distributed load, and couple. Overhanging beams. Point of Inflexion/Contra-flexure. Relationship between bending moment and shear for pure bending.
Virtual work and trusses: Concept and principle of virtual work, degree of freedom of system, use and application of virtual work for problems on beams, ladders, frames, virtual work done by moment/ torque. Perfect and imperfect truss, analysis of trusses, method of joints, method of sections, graphical method for perfect trusses, illustrative exercises.