Engineering Mechanics

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Description:

Syllabus :

Equivalent Force Systems: concentrated and distributed force systems, simplest resultant (wrench), centre of pressure, centroid, and centre of gravity. Equilibrium of Rigid Bodies: free body diagram, reactions, equations of equilibrium, static indeterminacy. Analysis of Structures: analysis of trusses, method of joints and method of sections, analysis of frames and beams, shear force and bending moment, axial force and twisting moment. Friction: concept of friction, applications of friction to simple machines; rolling resistance. Virtual Work: principle of virtual work and its application to machines. Moment of Inertia: moments of inertia of simple and composite bodies, moments of inertia under transformation of axes, principle axes and principle moments of inertia, Mohr’s circle. Kinematics of Particles and Rigid Bodies: rectilinear motion, curvilinear motion, velocity and acceleration in cylindrical and path coordinate system, relative and constrained motion, rate of change of a vector in a rotating frame, three-dimensional motion of a particle relative to a rotating frame, rigid body kinematics. Kinetics of Systems of Particles and Rigid Bodies: linear and angular momentum of a system of particles and a rigid body, kinetic energy of a system of particle and a rigid body, linear and angular momentum principles, Euler equation of motion. Impact of Rigid Bodies: linear and angular impulse, impulse-momentum principle, work-energy principle, central and eccentric impacts.

Text Books :

1. Shames, I. H. (2005). Engineering Mechanics: Statics and Dynamics (4th ed.). Pearson Education India
2. Beer, F. P., Johnston, E. R. J., Mazurek, D. F., Cornwell, P. J. & Sanghi, S. (2017). Vector Mechanics for Engineers: Statics and Dynamics (10th ed.). McGraw-Hill Education
3. Meriam, J. L., Kraige, L. G. & Bolton, J. N. (2021). Engineering Mechanics: Statics and Dynamics (9th ed.). Wiley India