Mechanical Engineering Course

Lesson 1 • Overview of Engineering Materials

Surveys metals, polymers, ceramics, and composites by structure and properties. Connects material selection decisions to mechanical performance criteria introduced later.

Lesson 2 • Engineering Drawing and Notation

Teaches orthographic projection, sectional views, and standard dimensioning conventions. Builds blueprint literacy needed to interpret designs in all applied chapters.

Lesson 3 • Vector Mathematics for Engineers

Introduces vector algebra, dot and cross products, and coordinate transformations. Enables force and moment resolution required in statics and dynamics chapters.

Lesson 1 • Internal Forces in Beams

Derives shear force and bending moment diagrams for statically determinate beams. Establishes sign conventions and relationships used in stress analysis later.

Lesson 2 • Distributed Loads and Centroids

Converts distributed pressure and weight loads into equivalent resultant forces. Locates centroids and centres of gravity for common and composite shapes.

Lesson 3 • Free-Body Diagrams and Equilibrium

Establishes the free-body diagram as the primary analysis tool for force systems. Applies Newton's first law to two- and three-dimensional equilibrium conditions.

Lesson 4 • Friction and Contact Forces

Models dry Coulomb friction at surfaces and applies it to wedges, screws, and belt drives. Determines impending motion conditions and self-locking criteria.

Lesson 1 • Beam Deflection Methods

Computes beam deflections using integration and superposition methods. Connects deflection limits to serviceability requirements in structural design.

Lesson 2 • Bending Stress in Beams

Applies the flexure formula to compute normal stress distribution across beam cross-sections. Introduces moment of inertia and section modulus for beam design.

Lesson 3 • Stress, Strain, and Hooke's Law

Defines normal and shear stress and strain, and establishes linear elastic constitutive relations. Introduces elastic modulus, Poisson's ratio, and shear modulus.

Lesson 4 • Axial Load and Deformation

Analyses bars under axial forces for stress, elongation, and statically indeterminate cases. Introduces thermal expansion and mismatch effects on axial members.

Lesson 1 • Newton's Laws Applied to Particles

Applies Newton's second law to particles in Cartesian, normal-tangential, and polar frames. Solves constrained motion problems involving pulleys and inclined planes.

Lesson 2 • Planar Rigid-Body Kinetics

Applies Newton-Euler equations to rigid bodies undergoing general plane motion. Introduces mass moment of inertia and the parallel-axis theorem.

Lesson 3 • Kinematics of Particles

Describes rectilinear and curvilinear particle motion using position, velocity, and acceleration. Covers normal-tangential and polar coordinate formulations.

Lesson 4 • Planar Rigid-Body Kinematics

Analyses translation, rotation, and general plane motion of rigid bodies. Uses instantaneous centre of zero velocity for velocity analysis of mechanisms.

Lesson 1 • Modes of Heat Transfer

Covers conduction, convection, and radiation fundamentals and their governing equations. Applies thermal resistance networks to steady-state heat transfer problems.

Lesson 2 • Second Law and Entropy

Introduces entropy, irreversibility, and the Carnot efficiency limit. Applies the entropy balance to identify sources of thermodynamic inefficiency.

Lesson 3 • Power and Refrigeration Cycles

Analyses Rankine, Brayton, and vapour-compression refrigeration cycles for performance. Computes thermal efficiency, coefficient of performance, and back-work ratio.

Lesson 4 • First Law of Thermodynamics

Applies energy conservation to closed systems and steady-flow open systems. Derives enthalpy and analyses turbines, compressors, nozzles, and heat exchangers.

Lesson 1 • Fluid Properties and Statics

Defines viscosity, density, and surface tension, and derives hydrostatic pressure distribution. Computes hydrostatic forces on submerged plane and curved surfaces.

Lesson 2 • Pipe Flow and Head Loss

Applies the Darcy-Weisbach equation and Moody chart to compute friction losses in pipes. Analyses minor losses and designs simple pipe networks.

Lesson 3 • Fluid Kinematics and Flow Classification

Introduces streamlines, pathlines, and the Reynolds transport theorem. Classifies flow as laminar or turbulent, steady or unsteady, compressible or incompressible.

Lesson 4 • Momentum Equation and Applications

Applies the linear momentum equation to control volumes for force analysis. Solves problems involving pipe bends, nozzles, and moving vanes.

Lesson 1 • Fatigue Analysis and Life Prediction

Applies the S-N curve and Goodman diagram to predict fatigue life under cyclic loading. Accounts for surface finish, size, and stress concentration modifying factors.

Lesson 2 • Design Process and Failure Theories

Introduces the engineering design process and static failure criteria for ductile and brittle materials. Applies von Mises and maximum-shear-stress theories to multiaxial stress states.

Lesson 3 • Gears and Power Transmission

Analyses spur, helical, and bevel gear geometry, tooth forces, and bending and contact stress. Applies gear rating standards to select gear sets for required life.

Lesson 4 • Fasteners, Joints, and Welds

Analyses bolted joints under tension and shear, including preload and gasketed connections. Covers fillet and groove weld sizing for static and fatigue loading.

Lesson 1 • PID Controller Design and Tuning

Designs proportional, integral, and derivative controllers to meet time-domain specifications. Applies Ziegler-Nichols and analytical tuning methods to practical systems.

Lesson 2 • Stability Analysis Methods

Applies Routh-Hurwitz criterion and root locus to assess closed-loop stability. Identifies gain margins and phase margins using Bode plot analysis.

Lesson 3 • System Modeling and Transfer Functions

Derives differential equation models for mechanical, electrical, and thermal systems. Converts models to transfer functions using Laplace transforms for control analysis.

Lesson 4 • Sensors, Actuators, and Mechatronic Integration

Surveys position, velocity, force, and temperature sensors and their signal conditioning. Integrates actuators and microcontrollers into closed-loop mechatronic systems.