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  • Two Dimensional Force Systems and Friction
    • Review of the three laws of motion
    • Equality of Vectors
    • Adding and subtracting two vectors (Graphical Method)
    • Scalar or dot product
    • Vector or cross product
    • Geometric interpretation of cross product
    • Equilibrium of bodies I
    • Equilibrium of bodies II
    • Forces and couples generated by various elements
    • Forces and couples generated by various elements-roller problem
    • Forces and couples generated by various elements-hinge problem
    • Forces and couples generated by various elements-built in or fixed support
    • Equilibrium of bodies III
    • Free Body Diagram
    • statical determinacy
    • Couple and Moment of a Couple
    • Moment of a Force
    • Resultant of Systems of Coplanar Forces
    • Friction
    • Coulomb Theory of Friction
    • Angle of static friction
    • Coefficient Of Friction
    • Lamis theorem: Friction
    • Belt Friction

  • Simple Stress and StrainPure Bending of Beams and Torsion
    • Concept of Stress and Strain
    • Concept of stress
    • Types of Stresses
    • General State of stress at a point
    • Cartesian - co-ordinate system and Cylindrical - co-ordinate system
    • Shear Stresses
    • Stresses on oblique plane
    • Material subjected to combined direct and shear stresses
    • Concept of strain
    • Three – dimensional state of strain and Principal strains in terms of stress
    • Strains on an oblique plane
    • Stress – Strain Relations
    • Elastic Stress – strain Relations
    • Relation Among Elastic Constants
    • Shape of stress stain diagram
    • Vickers Hardness test and Rockwell Hardness Test
    • Shearing stress distribution in typical cross-sections
    • Shear stress distribution in beams of circular cross-section
    • Principal Stresses in Beams
    • Bending Of Composite or Flitched Beams
    • Deflection of Beams
    • Cantilever Beam with Concentrated Load at the end
    • A Cantilever with Uniformly distributed Loads
    • Simply Supported beam with uniformly distributed Loads
    • Strain Energy
    • Torsion Formula
    • Angle of Twist in Torsion
    • Transmission of Power by Circular Shafts

  • Beam and Trusses
    • Trusses
    • Example on Trusses
    • Method of joints
    • Method of sections
    • Design of a Truss
    • Beams: Type of Beams
    • Intensity of loading
    • Shear force, axial force and bending moment
    • Beams under Concentrated Loads
    • Example of beam

  • Kinematics of Rigid Body and Kinetics of Rigid Body
    • Kinematics of a Particle
    • Terminology:Kinematics of a Particle
    • Kinematics of a particle moving on a curve
    • Motion in a plane: Polar coordinates
    • Relative Motion
    • Plane Kinematics of rigid bodies
    • Kinetics of a Particle: Direct application of Newton's second law
    • D' Alembert's principle
    • Work and Energy
    • Linear Momentum
    • Impulse
    • Conservation of angular momentum
    • Direct Central Impact
    • Oblique Central Impact
    • Plane Kinetics of rigid bodies
    • Kinetics of body
    • Rolling Motion: Kinetics of body
    • Kinetics
    • Work and Energy for Rigid Bodies
    • Potential Energy
    • Methods of momentum
    • Interconnected rigid bodies

  • Centroid and Moment of Inertia
    • Center of mass and Center of Gravity
    • Centroid of a length, Area and volume
    • Theorem of Pappus- Guldinus
    • Second Moments and the product of area of a plane
    • second moment of area:Parallel axis theorem for the product of area
    • Second Moments and Products of Area in the rotated Coordinate System
    • Moments and Product of Inertia
    • Moments of Inertia
    • Translation of Coordinate Axes
    • Principal Axes in Moment of Inertia

Branch : First Year-Engineering Syllabus | Subject : Elements of Mechanical Engineering
Kinematics of Rigid Body and Kinetics of Rigid Body
  • Kinematics of a Particle

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  • Terminology:Kinematics of a Particle

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  • Kinematics of a particle moving on a curve

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  • Motion in a plane: Polar coordinates

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  • Relative Motion

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  • Plane Kinematics of rigid bodies

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  • Kinetics of a Particle: Direct application of Newton's second law

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  • D' Alembert's principle

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  • Work and Energy

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  • Linear Momentum

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  • Impulse

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  • Conservation of angular momentum

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  • Direct Central Impact

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  • Oblique Central Impact

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  • Plane Kinetics of rigid bodies

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  • Kinetics of body

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  • Rolling Motion: Kinetics of body

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  • Kinetics

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  • Work and Energy for Rigid Bodies

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  • Potential Energy

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  • Methods of momentum

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  • Interconnected rigid bodies

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