Package Includes

  • Engineering Mathematics
    • Differential Equations
      • Lecture-1 | Differential Equations & its Classifications | ODE & PDE | Application of Differential EQNs
    • Ordinary Differential Equations
      • Lecture-2 | Order and Degree of Differential Equations | Transcendental functions | PYQs
      • Lecture-3 | Higher Order Linear ODE | Linear & Non-Linear ODE | Arbitrary Constants | Initial & Boundary Conditions
      • Lecture-4 | Complete Solution | Complementary Function | Particular Integral | Auxiliary EQN & Nature of its Roots
      • Lecture-5 |Solution of Higher Order ODE with Constant Coefficients | Boundary value Problems & Initial Value Problems | PYQs
      • Lecture-6 | Finding Particular Integral | Complete Solution = Complementary Functions + Particular Integral | PYQs
      • Lecture-7 | Cauchy's or Euler's Form | Higher Order ODE with Variable Coefficients | Legendre's Form | PYQs
      • Lecture-8 | Linear Differential Equation | Leibnitz Form | Integrating Factor | Bernoulli's Form (Non-Linear)| PYQs
      • Lecture:9 | Method of Variation of Parameters | Special Topic
      • Lecture-10 | Variable Separable Method | PYQs
      • Lecture-11 | Applications of Differential EQNs of First Order | Discussion | Newton's 2nd Law | PYQs
      • Lecture- 12 | Applications of ODE | Newton's Law of Cooling | PYQs
  • Strength of Materials
    • Assignments | Study Material | PYQs
      • PYQs | Strength of Materials | Mechanics of Materials | Mechanics of Solid
      • Assignment | Thin Cylinders | Thin Pressure Vessels
      • Assignment | Principal Stresses
      • Assignment | Theory of Failures
      • Assignment | Torsion of Shafts
    • Material Properties & Elastic Constants | Basic Fundamentals | Simple Stress & Strain
      • Lecture-1| Introduction | Discussion | Scalar , Vector & Tensor
      • Lecture-2 | Material Properties | Isotropic , Anisotropic & Orthotropic Materials | Homogeneous Materials
      • Lecture-3 | Cross-Sectional Properties | Axial & Flexural Rigidity |Torsional Rigidity | Stiffness & Torsional Stiffness
      • Lecture-4 | Deformable & Rigid Bodies | Discussion | Impact Load
      • Lecture-5 | Mechanical Properties | Stress-Strain Diagrams | Elasticity & Plasticity |Strain-Hardening
      • Lecture-6| Numerical | Strain & Lateral Strain| Axial Stress | Strain Energy | Resilience
      • Lecture - 7| Strength Criteria of Design | Numerical | Factor of Safety | Prismatic Bar
      • Lecture-8 | Numerical | Simple Stress & Strain | Strength Criteria
      • Lecture-9 | Numerical | Stepped Bar | Elongation and Stress Calculation
      • Lecture-10 | Numerical | Indeterminate Bar | Stress Calculation in Varying Cross-section
      • Lecture- 11 | Numerical | Indeterminate Bar
      • Lecture-12 | Indeterminate Bar | Thermal Stress & Strain | Numerical
      • Lecture-13 | Thermal Stress | Numerical
      • Lecture-14| 3D Hook's Law | Volumetric Strain | Thermo-Mechanical Loading | Incompressible Materials
      • Lecture-14 | Continued........
      • Lecture-15 | Volumetric Strain | Numerical
    • Thin Cylinders & Spherical Shells | Thin-Walled Pressure Vessels
      • Lecture-1| Thin Cylinders & Spherical Shells| Axial & Circumferential Stress & Strain | Volumetric Strain
      • Lecture-2| Thin Cylinder with hemispherical Ends| Numerical | Thin Cylinders with Axial Loading
      • Lecture-3| Numerical | Maximum Shear Stress
      • Lecture-4 | Numerical | Design Criteria | Volumetric Strain | Change in length, Diameter & Volume
    • Principal Stresses | Principal Strains
      • Lecture-1 | Principal Planes & Principal Stresses | Discussion | Road map
      • Lecture-2 | Stresses on inclined Plane | Normal Stresses & Shear Stress | Numerical
      • Lecture-3 | Numerical | Principal Stresses | Orientation of Principal Planes
      • Lecture-4 | Maximum Shear Stress & orientation of Maximum Shear stress Plane | Numerical | PYQs
      • Lecture-5 | Mohr's Circle | Numerical | PYQs
    • Theories of Failure
      • Lecture- 1| Failure Criteria | Brittle & Ductile Failure| Strain Energy| Overview of all Failure Theories
      • Lecture-2 | Theory of Failures | Concept | Graphical Representation | Shear Strain Energy
      • Lecture-3 | Numerical | PYQs
  • Aircraft Structures
    • Assignments | PYQs | Study Material
      • PYQs | Theory Of Elasticity | Simple Stress and Strain
      • PYQs | Aircraft Structures
      • Assignment | Theory of Elasticity-1
      • Assignment | Torsion of thin-walled structures
    • Theory of Elasticity
      • Lecture-1| Introduction | Strain - Displacement Relations | Stress Tensor Symmetry
      • Lecture-2 | Complementary Shear Stress | Symmetry of Stress Tensor | Principle of Moment Equilibrium
      • Lecture-3 | Equilibrium Equations | Discussion Plane Strain
      • Lecture- 4 | Strain- Displacement Relations| Strain Compatibility Equations | Plane Stress & Plane Strain Conditions
      • Lecture-5 | Plane Stress | Plane Strain | Compatibility EQN in term of Stress | Airy's Stress Function
      • Lecture-6 | Airy Stress Function | Numerical | PYQs
      • Lecture-7 | Rigid Body Motion | Displacement Gradient Matrix | Numerical | PYQs
    • Torsion of Circular Shafts
      • Lecture-1|Torsion of Circular shafts | Composite shafts | Series and parallel Shafts | Combined Loading | PYQs
      • Lecture-2 | Revision | Strength Criteria | Stiffness Criteria | Numerical
      • Lecture-3 | Numerical | Strength Criteria & Stiffness Criteria |Composite Shafts | Indeterminate Shaft
      • Lecture-4 | Numerical | Composite Shaft | Combined Loading (Complex Loading)
    • Torsion of Thin-Walled Structures | Open & Closed Sections
      • Lecture-5 | Torsion of thin-walled Structures | Open & Close Sections | Numerical | PYQs
      • Leture-6| Closed Thin Sections | Bredt-Batho Torsional Formula | Shear Flow | Strain Energy & Angle of Twist
      • Lecture-7 | Numerical | Single - Cell & Multi-Cell Sections | PYQs
      • Lecture-8 | Numerical | Multi-Cell Sections | PYQs
    • Centroids & Moment of Inertia of Thick , Thin & Boom Sections
      • Lecture-1 | Introduction | Geometric Properties | Properties of Centroid
      • Lecture-2 | Centroid | Numerical | Moment of Inertia & its Properties | Parallel Axis Theorem | Product of Inertia & its Propert
      • Lecture-3 | Numerical | Moment of Inertia | L-Section | T-Section | C- Section | Z-Section
      • Lecture-4 | Thin -Walled Sections | Moment of Inertia | Product of Inertia
      • Lecture- 5 | Numerical | Ixx, Iyy and Ixy Calculation | Thin-Walled Cross-Sections
      • Lecture- 6 | Numerical | Ixx, Iyy and Ixy Calculation | Idealized Cross-Sections
    • Unsymmetrical Bending
      • Lecture-1| Unsymmetrical Bending Formula | Inclination of Neutral Axis | assumptions | Pure Bending
      • Lecture-2 | Numerical | Maximum Bending Stress | Inclination of Neutral Axis
    • Flexural Shear Flow

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