Unit 1 Basics of Mechanics

4 lecture hours

• 1.1 Significance and relevance of Mechanics
• Applied mechanics
• flexible body and rigid body. 1.2 Scalar and vector quantity
• Units of measurement (SI units) - Fundamental units and derived units. 1.3 Force – unit
• representation as a vector and by Bow’s notation
• characteristics and effects of a Force. 1.4 Principle of transmissibility of force
• Principle of Superposition 1.5 Force system and its classification

Unit 2 Coplanar Concurrent Forces

• 2.1 Resolution of a force - Orthogonal components of a force 2.2 Equilibrium and Equilibrant
• Free body and Free body diagram
• conditions of equilibrium
• 2.3 Resultant of forces using analytical and graphical methods for the forces acting at a point: 1
• Law of Parallelogram 2
• Law of triangle

Unit 3 Law of Polygon

10 lecture hours

• 2.4 Lami’s Theorem – statement and explanation
• Application for various engineering problems. 10 22 3
• Moment of Force and Parallel Forces 3.1 Moment of a force
• Varignon’s Theorem
• properties of couple
• conditions of equilibrium
• Program Name: Diploma in Engineering Level: Diploma Branch: Civil Engineering
• Environmental Engineering Course / Subject Code : DI02000071 Course / Subject Name : Engineering Mechanics 3.2 Resultant of force
• Equilibrium forces and its position using analytical methods for the coplanar non - concurrent force system. 3.3 Types of beam
• supports (simple
• roller and fixed) and loads acting on beam (vertical and inclined point load
• uniformly distributed load
• couple). 3.4 Beam reaction for cantilever
• simply supported beam with or without overhang – subjected to combination of Point load and uniformly distributed load. 3.5 Beam reaction graphically for simply supported beam subjected to vertical point loads only

Unit 4 Centroid & Centre of Gravity

6 lecture hours

• 4.1 Concept of Centroid
• Centre of Gravity. 4.2 Axis of reference and Axis of Symmetry. 4.3 Centroid of One Dimensional geometrical figures using principle of moment. 4.4 Centroid of Two Dimensional geometrical Plane figures (Square
• Quarter-circle) & Composite figures (not more than three figures) using first moment of area. 4.5 Centre of Gravity of Simple solids (Cube
• Hemisphere) & Composite solids (not more than two solids) using first moment of mass

Unit 5 Friction

6 lecture hours

• Types of Friction and laws of friction
• limiting equilibrium
• limiting friction. 5.2 Coefficient of friction
• angle of friction
• angle of repose
• relation between coefficient of friction and angle of friction. 5.3 Equilibrium of bodies on level surface subjected to force parallel and inclined to plane. 5.4 Equilibrium of bodies on inclined plane subjected to force parallel to the plane only

Unit 6 Simple Lifting Machines

9 lecture hours

• 6.1 Simple lifting machine
• mechanical advantage
• applications and advantages
• Velocity ratio
• efficiency of machines. 6.2 Application of law of machine
• Ideal machine
• friction in machine
• maximum Mechanical advantage and efficiency. 6.3 Reversible and non-reversible machines
• conditions for Program Name: Diploma in Engineering Level: Diploma Branch: Civil Engineering
• Environmental Engineering Course / Subject Code : DI02000071 Course / Subject Name : Engineering Mechanics reversibility. 6.4 Velocity ratios of Simple wheel and axle
• Differential axleand Wheel and, Worm and worm wheel
• Single purchase and double purchase crab winch
• Simple screw jack
• Relevant problems on simple lifting machines