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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
Beam and Trusses
Trusses
Example on Trusses
Method of joints
Method of sections
Design of a Truss
Beams: Type of Beams
Shear force, axial force and bending moment
Beams under Concentrated Loads
Example of beam
Method of sections
Intensity of loading
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
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
Direct Central Impact
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
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
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
Branch :
Electrical and Electronics Engineering
Subject :
Elements of Mechanical Engineering
Unit :
Beam and Trusses
Method of sections
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