Module 1
Forces in Plane – Vector addition of concurrent forces in plane – problems involving the equilibrium of particles – free body diagrams.
Definition of rigid body – moment of a force about an axis – varignon’s theorem of moment – couple – properties of force couples – resolution of a given force in to force acting at a given point and a couple – reduction of a system of coplanar forces acting on a rigid body into a single force and a single couple – equilibrium of a rigid body under coplanar forces – types of supports – reaction at supports of beams and frames – graphical method.
Forces in Plane – Vector addition of concurrent forces in plane – problems involving the equilibrium of particles – free body diagrams.
Definition of rigid body – moment of a force about an axis – varignon’s theorem of moment – couple – properties of force couples – resolution of a given force in to force acting at a given point and a couple – reduction of a system of coplanar forces acting on a rigid body into a single force and a single couple – equilibrium of a rigid body under coplanar forces – types of supports – reaction at supports of beams and frames – graphical method.
Module 2
Centre of gravity, centroid of wires, areas, volumes – moment of inertia of lamina and radius of gyration – parallel axis theorem and its applications – mass moment of inertia of thin circular and rectangular plates – mass moment of inertia of solid rectangular prisms, cylinders and cones.
Friction-angle of friction and coefficient of friction – laws of dry friction-ladder friction – wedge friction.
Centre of gravity, centroid of wires, areas, volumes – moment of inertia of lamina and radius of gyration – parallel axis theorem and its applications – mass moment of inertia of thin circular and rectangular plates – mass moment of inertia of solid rectangular prisms, cylinders and cones.
Friction-angle of friction and coefficient of friction – laws of dry friction-ladder friction – wedge friction.
Module 3
Simple trusses – analysis of trusses by methods of joints and sections – graphical- method. Simple stress and strain – bars of uniform cross section – shear stress – modulus of rigidity – bulk modulus – Poisson’s ratio – Relation between different modulii.
Simple trusses – analysis of trusses by methods of joints and sections – graphical- method. Simple stress and strain – bars of uniform cross section – shear stress – modulus of rigidity – bulk modulus – Poisson’s ratio – Relation between different modulii.
Module 4
Dynamics Kinematics (Velocity – acceleration) rectilinear motion of a particle under variable acceleration
Relative velocity – simple cases only. Circular motion with uniform acceleration – relation between angular and rectilinear motion – normal and tangential acceleration – motion of rotation and translation – instantaneous centre of zero velocity (elementary treatment only)
Dynamics Kinematics (Velocity – acceleration) rectilinear motion of a particle under variable acceleration
Relative velocity – simple cases only. Circular motion with uniform acceleration – relation between angular and rectilinear motion – normal and tangential acceleration – motion of rotation and translation – instantaneous centre of zero velocity (elementary treatment only)
Module 5
Kinetics of particles – Newton’s Laws of motion of translation – work, energy and power – principles of momentum and impulse. Motion of rotation – couple – torque – Newtons laws of motion of rotation – differential equations of rotation – angular impulse and torque – conservation of angular momentum – work-done and power by torque and couple.
Kinetics of particles – Newton’s Laws of motion of translation – work, energy and power – principles of momentum and impulse. Motion of rotation – couple – torque – Newtons laws of motion of rotation – differential equations of rotation – angular impulse and torque – conservation of angular momentum – work-done and power by torque and couple.
mgu b.tech university syllabus
References
1. Shames I.H., Engineering Mechanics, Prentice hall of India
2. S.Timoshinko, Engineering Mechanics, McGraw Hill
3. Ramachandra, Engineering Mechanics, Standard Publishers and Distributors
4. S. Rajasekararn & G.Sankarasubramanian, Engineering Mechanics, Vikas Publishing Co.
5. Beer F.P. & Johnston E.R., Mechanics for Engineers – Statics and Dynamics, McGrwa Hill
6. Meriam J.L. & Kraige L.G., Engineering Mechanics, John Wiley
2. S.Timoshinko, Engineering Mechanics, McGraw Hill
3. Ramachandra, Engineering Mechanics, Standard Publishers and Distributors
4. S. Rajasekararn & G.Sankarasubramanian, Engineering Mechanics, Vikas Publishing Co.
5. Beer F.P. & Johnston E.R., Mechanics for Engineers – Statics and Dynamics, McGrwa Hill
6. Meriam J.L. & Kraige L.G., Engineering Mechanics, John Wiley