IGCSE, A-Level & AP IGCSE, A-Level & AP Sheet preview
Subjects

University Mechanical Engineering

Tips

This course follows a mechanical engineering degree. It opens with statics: forces as vectors, free-body diagrams, moments, equilibrium, and trusses and frames. It then covers the mathematics engineers use, dynamics, materials, thermodynamics, mechanics of materials, fluid mechanics, manufacturing, machine design, heat transfer, vibrations, and finally system dynamics and control.

One skill sits under almost all of it: the free-body diagram. Before any equation, draw the object alone, show every force and moment acting on it, and choose your axes. A correct diagram usually makes the algebra short. A missing force cannot be fixed later by better algebra.

Engineering answers are also judged by whether they make sense. Check units, check the size of the answer, and ask what would fail first. A beam calculation is only useful if the stress it predicts is compared with what the material can safely carry.

Train all vocabulary
  • 1

    Engineering Mechanics — Statics
    Open this topic on its own page
    • 1.1 What this course is, and how to use it
    • 1.1 Vectors and forces
    • 1.2 Free-body diagrams
    • 1.3 Particle equilibrium
    • 1.4 Moments and couples
    • 1.5 Rigid-body equilibrium and supports
    • 1.6 Structures — trusses and frames
    • 1.7 Friction
    • 1.8 Centroids and distributed loads
  • 2

    Mathematical Methods for ME
    Open this topic on its own page
    • 2.1 Calculus for engineering
    • 2.2 Linear algebra
    • 2.3 Differential equations
    • 2.4 Numerical methods
    • 2.5 Vector calculus
    • 2.6 Probability and uncertainty
  • 3

    Engineering Mechanics — Dynamics
    Open this topic on its own page
    • 3.1 Particle kinematics
    • 3.2 Particle kinetics (Newton)
    • 3.3 Work and energy
    • 3.4 Impulse and momentum
    • 3.5 Rigid-body kinematics
    • 3.6 Rigid-body kinetics
  • 4

    Engineering Materials
    Open this topic on its own page
    • 4.1 Structure and bonding
    • 4.2 Stress-strain and elastic behaviour
    • 4.3 Metals and alloys
    • 4.4 Polymers, ceramics and composites
    • 4.5 Processing and property links
    • 4.6 Failure and material selection
  • 5

    Thermodynamics
    Open this topic on its own page
    • 5.1 Properties and state
    • 5.2 First law for closed systems
    • 5.3 First law for open systems
    • 5.4 Second law and entropy
    • 5.5 Power cycles
    • 5.6 Refrigeration and heat pumps
  • 6

    Mechanics of Materials
    Open this topic on its own page
    • 6.1 Axial loading
    • 6.2 Torsion
    • 6.3 Shear and bending
    • 6.4 Beam stresses and deflection
    • 6.5 Combined stress and Mohr's circle
    • 6.6 Buckling and failure criteria
  • 7

    Fluid Mechanics
    Open this topic on its own page
    • 7.1 Fluid properties and statics
    • 7.2 Conservation and control volumes
    • 7.3 Bernoulli and flow measurement
    • 7.4 Dimensional analysis
    • 7.5 Pipe flow and losses
    • 7.6 External flow
  • 8

    Manufacturing Processes
    Open this topic on its own page
    • 8.1 Engineering drawings and tolerances
    • 8.2 Casting and forming
    • 8.3 Machining
    • 8.4 Joining
    • 8.5 Additive manufacturing
    • 8.6 Process planning and quality
  • 9

    Machine Design
    Open this topic on its own page
    • 9.1 Design communication and CAD
    • 9.2 Load paths and design safety
    • 9.3 Static and fatigue criteria
    • 9.4 Shafts and bearings
    • 9.5 Joints and gears
    • 9.6 Constrained design project
  • 10

    Heat Transfer
    Open this topic on its own page
    • 10.1 Conduction
    • 10.2 Transient conduction
    • 10.3 Convection
    • 10.4 Radiation
    • 10.5 Heat exchangers
    • 10.6 Thermal design
  • 11

    Theory of Machines and Vibrations
    Open this topic on its own page
    • 11.1 Mechanisms and kinematic pairs
    • 11.2 Velocity and acceleration analysis
    • 11.3 Balancing
    • 11.4 Free vibration
    • 11.5 Forced vibration
    • 11.6 Multi-degree-of-freedom systems
  • 12

    System Dynamics and Control
    Open this topic on its own page
    • 12.1 Lumped-parameter modelling
    • 12.2 Electromechanical systems
    • 12.3 Transfer functions and response
    • 12.4 Feedback and PID control
    • 12.5 Digital implementation
    • 12.6 Sensors and actuators
    • 12.7 Mechatronics project

Log in or create account

IGCSE, A-Level & AP