Elements of Mechanical Engineering
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Two Dimensional Force Systems and Friction
Beam and Trusses
Centroid and Moment of Inertia
Kinematics of Rigid Body and Kinetics of Rigid Body
Simple Stress and StrainPure Bending of Beams and Torsion
- 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
- 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 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
- 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