Top Best Engineering Mechanics Coaching Tuition in Noida
Basic concepts: Definitions, Basic assumptions, Scalar & Vector
quantities, Free, Forced and fixed vectors.
Force System: Force, Classification & Representation, Force as a
Vector, Composition of forces, Parallelogram Law, Resolution,
Principle of Transmissibility of forces
Moment of a force, Vector representation, Moment for coplanar
force system, Varignon’s theorem
Couple, Vector representation, Resolution of a force into a force
and a couple.
Force Systems: Coplanar Concurrent Force system and Coplanar
Non Concurrent force systems, Resultant of coplanar force system.
Equilibrium of coplanar force system, Free body diagrams,
Determination of reactions, Equilibrium of a body under three
forces, Lami’s theorem.
Introduction, Wet and Dry friction, Theory of Dry friction, Angle
of friction, Angle of Repose, Cone of friction, Coulomb’s laws of
II Basic Structural Analysis:
Plane Truss, Difference between truss and frame, Perfect and
imperfect truss, Assumptions and Analysis of Plane Truss , Method
of joints, Method of section, Zero force members.
Beams, Types of beams, Statically Determinate Beams, Shear force
and bending moment in beams, Shear force and bending moment
diagrams, Relationships between load, shear and bending moment.
Centroid and Moment of Inertia:
Center of Gravity, Center of Mass and Centroid of curves, areas,
volumes, Determination of centroid by integration, Centroid of
Definition of Moment of inertia of area, Perpendicular axis theorem
and Polar moment of Inertia, Parallel axis theorem, Moment of
inertia of simple areas by integration, Moment of Inertia of
Moment of Inertia of masses, Parallel axis theorem for mass
moment of inertia, Mass moment of inertia of simple bodies by
integration, Mass moment of inertia of composite bodies.
Kinematics of Rigid Body:
Introduction, Absolute motion, Plane rectilinear motion of rigid
body, Plane curvilinear Motion of rigid body, x-y and n-t
components, Rotation of rigid bodies, Relative Motion, Plane
Motion of rigid bodies, Instantaneous center of zero velocity
Kinetics of Rigid Body:
Introduction, Force, Mass and Acceleration, Newton’s law ofmotion, D’Alembert’s Principles and Dynamic Equilibrium, Laws
of motion applied to planar translation, rotation and plane motion.
Work and Energy, Kinetic energy, Principle of work and energy,
Conservative forces, Law of conservation of energy,
Linear Impulse and Momentum, Conservation of linear momentum.
V Mechanics of Deformable Solids:
Simple stress and strain: Normal and shear stresses. One
Dimensional Loading; members of varying cross section, bars in
series. Tensile Test diagram for ductile and brittle materials, Elastic
constants, Strain energy.
Bending of Beams: theory of pure bending, neutral surface and
neutral axis, stresses in beams of different cross sections.
Theory of Torsion, Torque and twist, Shear stress due to torsion
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