AERONAUTICAL ENGINEERING


ENGINEERING MECHANICS


UNIT I     BASICS & STATICS OF PARTICLES                                                   

Introduction – Units and Dimensions – Laws of Mechanics – Lami’s theorem, Parallelogram and Triangular Law of forces – Vectors – Vectorial representation of forces and couples – Vector operations: additions, subtraction, dot product, cross product – Coplanar Forces – Resolution and Composition of forces – Equilibrium of a particle – Forces in space – Equilibrium of a particle in space – Equivalent systems of forces – Principle of transmissibility – Single equivalent force.

 

UNIT II     EQUILIBRIUM OF RIGID BODIES                                                     

Free body diagram – Types of supports and their reactions – requirements of stable equilibrium – Moments and Couples – Moment of a force about a point and about an axis –Scalar components of a moment – Varignon’s theorem – Equilibrium of Rigid bodies in two dimensions – Equilibrium of Rigid bodies in three dimensions – Examples

 

UNIT III     PROPERTIES OF SURFACES AND SOLIDS                         

Determination of Areas and Volumes – First moment of area and the Centroid of sections –Second and product moments of plane area – Parallel axis theorem and perpendicular axis theorem – Polar moment of inertia – Principal moments of inertia of plane areas – Principal axes of inertia – Mass moment of inertia

 

UNIT IV     DYNAMICS OF PARTICLES                                                                

Displacement, Velocity and Acceleration, their relationship – Relative motion – Curvilinear motion – Newton’s laws – Work-Energy Equation of particles – Impulse and Momentum – Impact of elastic bodies. 


UNIT V   FRICTION                                                                                                

Frictional force – Laws of Coloumb friction – simple contact friction – Belt friction – Roller friction. Translation and Rotation of Rigid Bodies – General Plane motion.