The University of Southampton
Courses

# ELEC1203 Mechanics

## Module Overview

### Aims and Objectives

#### Learning Outcomes

##### Knowledge and Understanding

Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:

• Basic concepts and principles in mechanics of solids
• Energy methods
• Dynamics of particles and vehicles; rotation of a rigid body
• Energy and momentum conservation
• Statically determinate and indeterminate systems
• Relations between stress, strain and deformation
• Mechanical properties of matter
• Basics of beam design and structural analysis
• Applications of superposition principle
• Buckling and stability of columns
##### Subject Specific Intellectual and Research Skills

Having successfully completed this module you will be able to:

• Derive particle and vehicle trajectory equations
• Predict motion of rigid bodies
• Calculate stresses and strains in mechanical systems
• Formulate stability criteria and explore mechanical instabilities
• Analyse simple mechanical systems
• Indentify failure criteria for mechanical systems
• Calculate beams deflection and twisting of shafts
• Apply superposition principle for analysis of combined loading
##### Transferable and Generic Skills

Having successfully completed this module you will be able to:

• Work in a small team to conduct an experiment
• Operate simple instrumentation equipment
##### Subject Specific Practical Skills

Having successfully completed this module you will be able to:

• Explain the meaning and consequences of mechanics
• Demonstrate theory of mechanics applied to simple practical situations
• Explain the design principles for simple mechanical devices
• Apply mathematical methods and vector algebra to mechanical problems

### Syllabus

Introduction - Basic Concepts - Fundamental Laws - Units - Scalar & Vector Particle Dynamics - Newton's Laws of Motion - Particle motion for constant and variable force - Energy and Momentum - Work done by Force - Kinetic and Potential Energy - Energy and Momentum Conservation - Friction - Linear Momentum - Collisions between particles Dynamics of Rigid Bodies - Rotation of rigid body about a fixed axis - Angular Momentum - Conservation of Angular Momentum - Moments of inertia - Inertia Matrix Mechanics of Engineering structures - Statics, structural and solid body component - Stress, strain and deformation, elastic and plastic deformation - Tension, compression and torsion - Determinate and indeterminate systems Theory of Torsion - Solid and thin-walled cylinder, torque, shear stress and angle of twist Two Dimensional Analysis of Stress - Stresses on a plane inclined to the direction of loading; normal and shear stresses - An element subjected to a general two dimensional stress system - Mohr's stress circle, principal stresses and planes, maximum shear stress Shearing Force, Bending Moment and Torque Diagrams - Sear force and bending moment diagrams; torsion of members - Relations between torque, shear stress & strain, angle of twist - Principle of superposition Bending of Beams - Shear forces, bending moment distributions and deformation - Stress-strain relationship in pure bending - Section modulus and flexural rigidity, properties of areas - Deflection of beams due to bending moments, effects of support conditions, double-integration method and Macaulay's notations - Beams made of dissimilar material - Eccentric loading and Asymmetrical bending - Statically Indeterminate Beams Strain Energy - Elastic strain energy, normal stress and shear, strain energy in bending - Buckling Buckling instability, effects of support conditions.

### Learning and Teaching

TypeHours
Wider reading or practice20
Preparation for scheduled sessions24
Follow-up work24
Lecture33
Revision16
Seminar4
Completion of assessment task18
Tutorial11
Total study time150

#### Resources & Reading list

Benham PP, Crawford RJ, Armstrong CG (1996). Mechanics of Engineering Materials.

Hibbeler RC (2008). Mechanics of Materials.

Bedford A, Fowler WL (2001). Engineering mechanics: dynamics.

Meriam JL, Kraige LG (2007). Engineering mechanics, Vol. 2, Dynamics.

Beer FP, Johnston ER (1977). Vector mechanics for engineers: statics and dynamics.

### Assessment

#### Assessment Strategy

Final examination on stress-strain relations, Hook's law and beam theory (75%), 2 assignments on conservation laws (15%) plus 2 technical labs (10%) to consider Stress, Strain and Structural Beam Theory, addressing the above-listed learning outcomes. The labs are conducted under the umbrella of ELEC1029 but the marks contribute towards this module.

#### Summative

MethodPercentage contribution
Continuous Assessment 25%
Final Assessment  75%

#### Repeat

MethodPercentage contribution