## Table of Contents

**Part One: Revision of Mathematics. **

1. Revisionary mathematics.

Revision Test 1 Revisionary mathematics.

2. Further revisionary mathematics.

Revision Test 2 Further revisionary mathematics.

**Part Two: Statics and Strength of Materials. **

3. The effects of forces on materials.

4. Tensile testing.

5. Forces acting at a point.

6. Simply supported beams.

Revision Test 3 Forces, tensile testing and beams.

7. Forces in structures.

8. Bending moment and shear force diagrams.

9. First and second moments of area.

Revision Test 4 Forces in structures, bending moment and shear force diagrams, and second moments of area.

10. Bending of beams.

11. Torque.

12. Twisting of shafts.

Revision Test 5 Bending of beams, torque and twisting of shafts.

13. An introduction to matrix algebra.

14. The matrix displacement method.

**Part Three: Dynamics.**

15. Linear and angular motion.

16. Linear momentum and impulse.

17. Force, mass and acceleration.

18. Work, energy and power.

Revision Test 6 Linear and angular motion, momentum and impulse, force, mass and acceleration, work, energy and power.

19. Friction.

20. Motion in a circle.

21. Simple harmonic motion.

22. Simple machines.

Revision Test 7 Friction, motion in a circle, simple harmonic motion and simple machines.

**Part Four: Heat Transfer and Fluid Mechanics.**

22. Heat energy and transfer.

24. Thermal expansion.

Revision Test 8 Heat energy and transfer, and thermal expansion.

25. Hydrostatics.

26. Fluid flow.

27. Ideal gas laws.

28. The measurement of temperature.

Revision Test 9 Hydrostatics, fluid flow, gas laws and temperature measurement.

A list of formulae for mechanical engineering principles.

Metric to Imperial conversions and vice versa.

Greek alphabet.

Glossary of terms.

Answers to multiple-choice questions.