Undergraduate Teaching 2025-26

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Engineering Tripos Part IIB, 4D4: Digital Construction, 2024-25

Module Leader

Prof I Brilakis

Lecturer

Prof I Brilakis

Timing and Structure

Lent term - 14 lectures - Assessment: 100% coursework

Prerequisites

3D1, 3D2 & 4D16 useful

Aims

The aims of the course are to:

  • familiarise students with key design and construction aspects of those areas of construction engineering which are commonly encountered in many major civil engineering projects.

Objectives

As specific objectives, by the end of the course students should be able to:

  • understand key issues in front-end planning and construction of major civil engineering infrastructure.
  • understand the basics of construction site development, earth removing methods and earth excavation techniques.
  • understand the basics for rock excavation and blasting.
  • understand the practical considerations for loading and hauling operations including productivity estimation, fleet economics and equipment selection.
  • understand the design, construction and operational aspects of compacting, finishing and paving operations for road infrastructure.
  • analyse and evaluate the key principles and concepts of digital construction, including information modelling, monitoring,
  • define the process of designing non-software specific modelling techniques in digital construction.
  • apply critical thinking skills to assess the advantages and limitations of digital technologies in construction projects.
  • evaluate and compare various digital tools and technologies used for project planning, design optimization, and data analysis.
  • critically assess various types of sensors commonly used in construction as well as emerging trends and innovations in IoT and sensor technologies relevant to construction project monitoring.
  • critically analyse a real-world case study involving the deployment of digital technology deployment in construction, to identify key challenges, innovative solutions, and lessons learned, and propose ways to adapt and apply these insights to address simi

Content

This module aims to familiarise students with key design and construction aspects of those areas of construction engineering which are commonly encountered in many major civil engineering projects. In Part 1, this will include earth moving and soil excavation techniques, rock excavation and blasting, road construction and equipment fleet economics. Earthworks are becoming increasingly important as massive rail and road projects are needed to cope with growing traffic.  Rock excavation and blasting, as well as paving operations, provide particular challenges in many civil engineering projects. In Part 2, the students will start by gaining a firm grasp of digital modelling and its practical applications in construction projects. The module provides a deep dive into BIM as a popular exemplar of digital modelling. Students will explore the intricate processes involved in designing and executing BIM projects and learn how BIM extends into the fourth (scheduling) and fifth (cost) dimensions (4D/5D). The students will also gain an appreciation for the role of BIM in facility management (6D). Finally, the students will be provided with an overview of IoT and sensor technologies, discovering how these cutting-edge components can be integrated into construction processes for real-time data collection and analysis. A real-world case study will be used to highlight the transformative impact of these technologies in complex construction scenarios. Part 2 will end with an overview and run-through of the second coursework assignment.
 
Site development & earthmoving materials
Excavation techniques & earth moving methods 
Loading and hauling
Road construction
Fleet economics
Introduction to digital construction and priority outcomes
An introduction to digital modelling
Designing and executing BIM projects
BIM for schedule (4D) and cost (5D) management
BIM for facility (6D) management
Construction monitoring: Internet of things (IoT) and sensor technologies
Case study: digital underground construction
 
14L, Prof I. Brilakis

Coursework

This syllabus contributes to the following areas of the UK-SPEC standard:

Toggle showing UK-SPEC areas.

Coursework Format

Due date

& marks

Coursework 1: Earthworks

Construction earthwork and equipment: estimation of excavation soil volumes from drawings, earthwork production, blast design, logistics planning for transporting soils to/from project sites, paving and economics.

 

Individual Report

anonymously marked

[30/60]
 

Coursework 2: Digital Construction

Development of a custom rule-based algorithm to automatically segment a specific element from a 3D point cloud (provided to the students) and recover key geometric features. Identification of the key steps involved in creating an IFC schema extension to accommodate custom objects and relationships, and the integration of such extensions into existing IFC-compliant software applications.

 

Individual Report

anonymously marked

 

[30/60]

 

 

Booklists

Please refer to the Booklist for Part IIB Courses for references to this module, this can be found on the associated Moodle course.

Examination Guidelines

Please refer to Form & conduct of the examinations.

UK-SPEC

This syllabus contributes to the following areas of the UK-SPEC standard:

Toggle display of UK-SPEC areas.

GT1

Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.

IA1

Apply appropriate quantitative science and engineering tools to the analysis of problems.

IA2

Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.

KU1

Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.

KU2

Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.

E1

Ability to use fundamental knowledge to investigate new and emerging technologies.

P1

A thorough understanding of current practice and its limitations and some appreciation of likely new developments.

P3

Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).

US1

A comprehensive understanding of the scientific principles of own specialisation and related disciplines.

 
Last modified: 17/12/2024 10:52

Engineering Tripos Part IIB, 4D4: Construction Engineering, 2019-20

Module Leader

Prof G Viggiani

Lecturer

Prof G Viggiani and Dr I Brilakis

Timing and Structure

Lent term - 14 lectures - Assessment: 100% coursework

Prerequisites

3D1, 3D2 and 4D16 useful

Aims

The aims of the course are to:

  • familiarise students with key design and construction aspects of those areas of construction engineering which are commonly encountered in many major civil engineering projects.

Objectives

As specific objectives, by the end of the course students should be able to:

  • understand key issues in front-end planning and construction of major civil engineering infrastructure.
  • understand the basics of construction site development, earth removing methods and earth excavation techniques.
  • understand the basics for rock excavation and blasting.
  • understand the practical considerations for loading and hauling operations including productivity estimation, fleet economics and equipment selection.
  • understand the design, construction and operational aspects of compacting, finishing and paving operations for road infrastructure.
  • address stability and deformation problems relating to different types of deep excavation construction (e.g. diaphragm walls, top-down construction, bottom-up construction) in different ground conditions.
  • understand the principal design and construction problems associated with bored tunnel projects.
  • estimate ground movements caused by deep excavations and tunnelling and assess their effects on buildings and services.
  • select appropriate protective and ground improvement measures for different underground construction problems.
  • understand the principal considerations associated with ground water control during construction.
  • understand the conventional and advanced instrumentation techniques used for measuring ground movements and mechanical strain in practice including advantages and limitations.

Content

This module aims to familiarise students with key design and construction aspects of those areas of construction engineering which are commonly encountered in many major civil engineering projects. These are earth moving and soil excavation techniques, rock excavation and blasting, road construction and equipment fleet economics, underground construction and tunnelling, and instrumentation and monitoring. Earthworks for ground and underground construction are becoming increasingly important as massive rail and road projects are needed to cope with growing traffic while underground space is being utilised in urban areas for mass transit systems (metros) and many other areas of infrastructure development.  Instrumentation and monitoring is a growing area with many new innovative techniques being introduced, many of them recently developed at Cambridge. Rock excavation and blasting, as well as paving operations, provide particular challenges in many civil engineering projects. This module will introduce students to the latest front-end planning and construction technologies being used in all these areas. 
 
Site development & earthmoving materials
Excavation techniques & earth moving methods 
Loading and hauling
Road construction
Fleet economics
Deep excavations and bored tunnels
Tunnel stability and ground movements
Damage to buildings and services caused by deep excavations and tunnels, risk assessments
Protective measures and ground treatment for underground construction
Effects of tunnelling and deep excavations on building performance – case histories
Groundwater control
Instrumentation and monitoring
 
7L, Prof G. Viggiani; 7L, Dr I. Brilakis

Coursework

(a) Underground construction (tunnelling), based on a real project: tasks are to establish tunnel stability during construction, assess the risk of damage to a building of considerable historical interest, and design outline protective measures for the building. 
 
(b) Construction earthwork and equipment: estimation of excavation soil volumes from drawings, earthwork production calculation, logistics planning for transporting earth materials and for road construction operations, and equipment economics.
 

Please refer to Form & conduct of the examinations.

This syllabus contributes to the following areas of the UK-SPEC standard:

Toggle showing UK-SPEC areas.

Coursework Format

Due date

& marks

Coursework 1: Underground construction

Underground construction (tunnelling), based on a real tunnelling project: tasks are to establish tunnel stability duting construction, assess the risk of damage to a building of considerable historical interest and design outline protective measures for the building.

Learning objective:

  • estimate ground movements caused by tunnelling and assess their effects on buildings 
  • define appropriate protective measures

Individual Report

anonymously marked

 

[30/60]

Coursework 2: Earthworks

Construction earthwork and equipment: estimation of excavation soil volumes from drawings, earthwork production, blast design, logistics planning for transporting soils to/from project sites, paving and economics.

Learning objective:

  • Understand the basics of construction site development, earth removing methods and earth/rock excavation techniques.
  • Understand the practical considerations for loading and hauling operations including productivity estimation and equipment selection.
     
  • Understand road construction operations and equipment fleet economics. 

Individual Report

anonymously marked

 

[30/60]

 

 

Booklists

Please see the Booklist for Group D Courses for references for this module.

Examination Guidelines

Please refer to Form & conduct of the examinations.

UK-SPEC

This syllabus contributes to the following areas of the UK-SPEC standard:

Toggle display of UK-SPEC areas.

GT1

Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.

IA1

Apply appropriate quantitative science and engineering tools to the analysis of problems.

IA2

Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.

KU1

Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.

KU2

Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.

E1

Ability to use fundamental knowledge to investigate new and emerging technologies.

P1

A thorough understanding of current practice and its limitations and some appreciation of likely new developments.

P3

Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).

US1

A comprehensive understanding of the scientific principles of own specialisation and related disciplines.

 
Last modified: 26/09/2019 17:23

Engineering Tripos Part IIB, 4D4: Construction Engineering, 2020-21

Module Leader

Prof G Viggiani

Lecturer

Prof G Viggiani and Dr I Brilakis

Timing and Structure

Lent term - 14 lectures - Assessment: 100% coursework

Prerequisites

3D1, 3D2 and 4D16 useful

Aims

The aims of the course are to:

  • familiarise students with key design and construction aspects of those areas of construction engineering which are commonly encountered in many major civil engineering projects.

Objectives

As specific objectives, by the end of the course students should be able to:

  • understand key issues in front-end planning and construction of major civil engineering infrastructure.
  • understand the basics of construction site development, earth removing methods and earth excavation techniques.
  • understand the basics for rock excavation and blasting.
  • understand the practical considerations for loading and hauling operations including productivity estimation, fleet economics and equipment selection.
  • understand the design, construction and operational aspects of compacting, finishing and paving operations for road infrastructure.
  • address stability and deformation problems relating to different types of deep excavation construction (e.g. diaphragm walls, top-down construction, bottom-up construction) in different ground conditions.
  • understand the principal design and construction problems associated with bored tunnel projects.
  • estimate ground movements caused by deep excavations and tunnelling and assess their effects on buildings and services.
  • select appropriate protective and ground improvement measures for different underground construction problems.
  • understand the principal considerations associated with ground water control during construction.
  • understand the conventional and advanced instrumentation techniques used for measuring ground movements and mechanical strain in practice including advantages and limitations.

Content

This module aims to familiarise students with key design and construction aspects of those areas of construction engineering which are commonly encountered in many major civil engineering projects. These are earth moving and soil excavation techniques, rock excavation and blasting, road construction and equipment fleet economics, underground construction and tunnelling, and instrumentation and monitoring. Earthworks for ground and underground construction are becoming increasingly important as massive rail and road projects are needed to cope with growing traffic while underground space is being utilised in urban areas for mass transit systems (metros) and many other areas of infrastructure development.  Instrumentation and monitoring is a growing area with many new innovative techniques being introduced, many of them recently developed at Cambridge. Rock excavation and blasting, as well as paving operations, provide particular challenges in many civil engineering projects. This module will introduce students to the latest front-end planning and construction technologies being used in all these areas. 
 
Site development & earthmoving materials
Excavation techniques & earth moving methods 
Loading and hauling
Road construction
Fleet economics
Deep excavations and bored tunnels
Tunnel stability and ground movements
Damage to buildings and services caused by deep excavations and tunnels, risk assessments
Protective measures and ground treatment for underground construction
Effects of tunnelling and deep excavations on building performance – case histories
Groundwater control
Instrumentation and monitoring
 
7L, Prof G. Viggiani; 7L, Dr I. Brilakis

Coursework

(a) Underground construction (tunnelling), based on a real project: tasks are to establish tunnel stability during construction, assess the risk of damage to a building of considerable historical interest, and design outline protective measures for the building. 
 
(b) Construction earthwork and equipment: estimation of excavation soil volumes from drawings, earthwork production calculation, logistics planning for transporting earth materials and for road construction operations, and equipment economics.
 

Please refer to Form & conduct of the examinations.

This syllabus contributes to the following areas of the UK-SPEC standard:

Toggle showing UK-SPEC areas.

Coursework Format

Due date

& marks

Coursework 1: Underground construction

Underground construction (tunnelling), based on a real tunnelling project: tasks are to establish tunnel stability duting construction, assess the risk of damage to a building of considerable historical interest and design outline protective measures for the building.

Learning objective:

  • estimate ground movements caused by tunnelling and assess their effects on buildings 
  • define appropriate protective measures

Individual Report

anonymously marked

 

[30/60]

Coursework 2: Earthworks

Construction earthwork and equipment: estimation of excavation soil volumes from drawings, earthwork production, blast design, logistics planning for transporting soils to/from project sites, paving and economics.

Learning objective:

  • Understand the basics of construction site development, earth removing methods and earth/rock excavation techniques.
  • Understand the practical considerations for loading and hauling operations including productivity estimation and equipment selection.
     
  • Understand road construction operations and equipment fleet economics. 

Individual Report

anonymously marked

 

[30/60]

 

 

Booklists

Please refer to the Booklist for Part IIB Courses for references to this module, this can be found on the associated Moodle course.

Examination Guidelines

Please refer to Form & conduct of the examinations.

UK-SPEC

This syllabus contributes to the following areas of the UK-SPEC standard:

Toggle display of UK-SPEC areas.

GT1

Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.

IA1

Apply appropriate quantitative science and engineering tools to the analysis of problems.

IA2

Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.

KU1

Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.

KU2

Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.

E1

Ability to use fundamental knowledge to investigate new and emerging technologies.

P1

A thorough understanding of current practice and its limitations and some appreciation of likely new developments.

P3

Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).

US1

A comprehensive understanding of the scientific principles of own specialisation and related disciplines.

 
Last modified: 01/09/2020 10:32

Engineering Tripos Part IIB, 4D4: Construction Engineering, 2018-19

Module Leader

Prof G Viggiani

Lecturer

Dr T da Silva

Timing and Structure

Lent term. 14 lectures. Assessment: 100% coursework

Prerequisites

3D1, 3D2 and 4D16 useful

Aims

The aims of the course are to:

  • familiarise students with key design and construction aspects of those areas of construction engineering which are commonly encountered in many major civil engineering projects.

Objectives

As specific objectives, by the end of the course students should be able to:

  • understand key issues in front-end planning and construction of major civil engineering infrastructure.
  • understand the basics of construction site development, earth removing methods and earth excavation techniques.
  • understand the basics for rock excavation and blasting.
  • understand the practical considerations for loading and hauling operations including productivity estimation, fleet economics and equipment selection.
  • understand the design, construction and operational aspects of compacting, finishing and paving operations for road infrastructure.
  • address stability and deformation problems relating to different types of deep excavation construction (e.g. diaphragm walls, top-down construction, bottom-up construction) in different ground conditions.
  • understand the principal design and construction problems associated with bored tunnel projects.
  • estimate ground movements caused by deep excavations and tunnelling and assess their effects on buildings and services.
  • select appropriate protective and ground improvement measures for different underground construction problems.
  • understand the principal considerations associated with ground water control during construction.
  • understand the conventional and advanced instrumentation techniques used for measuring ground movements and mechanical strain in practice including advantages and limitations.

Content

This module aims to familiarise students with key design and construction aspects of those areas of construction engineering which are commonly encountered in many major civil engineering projects. These are earth moving and soil excavation techniques, rock excavation and blasting, road construction and equipment fleet economics, underground construction and tunnelling, and instrumentation and monitoring. Earthworks for ground and underground construction are becoming increasingly important as massive rail and road projects are needed to cope with growing traffic while underground space is being utilised in urban areas for mass transit systems (metros) and many other areas of infrastructure development.  Instrumentation and monitoring is a growing area with many new innovative techniques being introduced, many of them recently developed at Cambridge. Rock excavation and blasting, as well as paving operations, provide particular challenges in many civil engineering projects. This module will introduce students to the latest front-end planning and construction technologies being used in all these areas. 
 
Site development & earthmoving materials
Excavation techniques & earth moving methods 
Loading and hauling
Road construction
Fleet economics
Deep excavations and bored tunnels
Tunnel stability and ground movements
Damage to buildings and services caused by deep excavations and tunnels, risk assessments
Protective measures and ground treatment for underground construction
Effects of tunnelling and deep excavations on building performance – case histories
Groundwater control
Instrumentation and monitoring
 
7L, Prof G. Viggiani; 7L, Dr T da Silva

Coursework

(a) Underground construction (tunnelling), based on a real project: tasks are to establish station tunnel stability during construction, assess the risk of damage to a building of considerable historical interest, and design outline protective measures for the building. 
 
(b) Construction earthwork and equipment: estimation of excavation soil volumes from drawings, earthwork production calculation, logistics planning for transporting earth materials and for road construction operations, and equipment economics.
 

Please refer to Form & conduct of the examinations.

This syllabus contributes to the following areas of the UK-SPEC standard:

Toggle showing UK-SPEC areas.

Coursework Format

Due date

& marks

Coursework 1: Underground construction

Underground construction (tunnelling), based on a real tunnelling project: tasks are to assess the risk of damage to a building of considerable historical interest and design outline protective measures for the building.

Learning objective:

  • estimate ground movements caused by tunnelling and assess their effects on buildings 
  • define appropriate protective measures

Individual Report

anonymously marked

Tue 22 Feb

[30/60]

Coursework 2: Earthworks

Construction earthwork and equipment: estimation of excavation soil volumes from drawings, earthwork production, blast design, logistics planning for transporting soils to/from project sites, paving and economics.

Learning objective:

  • Understand the basics of construction site development, earth removing methods and earth/rock excavation techniques.
  • Understand the practical considerations for loading and hauling operations including productivity estimation and equipment selection.
     
  • Understand road construction operations and equipment fleet economics. 

Individual Report

anonymously marked

Tue 15 Mar

[30/60]

 

 

Booklists

Please see the Booklist for Group D Courses for references for this module.

Examination Guidelines

Please refer to Form & conduct of the examinations.

UK-SPEC

This syllabus contributes to the following areas of the UK-SPEC standard:

Toggle display of UK-SPEC areas.

GT1

Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.

IA1

Apply appropriate quantitative science and engineering tools to the analysis of problems.

IA2

Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.

KU1

Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.

KU2

Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.

E1

Ability to use fundamental knowledge to investigate new and emerging technologies.

P1

A thorough understanding of current practice and its limitations and some appreciation of likely new developments.

P3

Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).

US1

A comprehensive understanding of the scientific principles of own specialisation and related disciplines.

 
Last modified: 17/01/2019 20:37

Engineering Tripos Part IIB, 4C9: Continuum Mechanics, 2024-25

Module Leader

Dr G McShane

Lecturers

Prof GN Wells and Dr GJ McShane

Timing and Structure

Lent term. 16 lectures (including examples classes). Assessment: 100% exam

Prerequisites

3C7 assumed; 3D7 useful

Aims

The aims of the course are to:

  • develop a more in-depth understanding of continuum solid mechanics, with particular emphasis on the distinction between linearised (i.e. infinitesimal strain) and nonlinear continuum mechanics;
  • understand appropriate solution methods for particular boundary value problems, with a focus on elastic and visco-elastic materials.

Objectives

As specific objectives, by the end of the course students should be able to:

  • show a working knowledge of tensor notation
  • define deformation, stress and constitutive relationships, in both linear and nonlinear continuum mechanics
  • use energy approaches to define constitutive relationships and solve problems in linear and nonlinear elasticity
  • solve linear viscoelastic problems for arbitrary loading time-histories
  • understand numerical solution methods for nonlinear continuum mechanics problems.

Content

This is an advanced course in continuum solid mechanics building on material covered in the Part IIA course 3C7. The aim of the course is to develop a more in-depth understanding of the techniques employed in continuum solid mechanics, for both small and large deformations, with particular emphasis on the response of elastic and visco-elastic bodies.

 

Preliminaries (2L, Dr GJ McShane)

  • Introduction to indicial notation.
  • Vectors, tensors and their manipulation.

Linearised Continuum Mechanics (6L, Dr GJ McShane)

  • Kinematics: infinitesimal strains, compatibility.
  • Conservation laws; stress and equilibrium.
  • Linear elasticity: method of stationary potential energy.
  • Linear viscoelasticity: constitutive equations;  solving viscoelastic problems in 1D for arbitrary loading time-histories; viscoelastic analysis in 3D.

Nonlinear Continuum Mechanics (8L, Prof GN Wells)

  • Nonlinear kinematics.
  • Strain rates and stress measures.
  • Nonlinear elasticity:  stationary potential energy and hyper-elasticity.
  • Numerical solution methods.

Examples papers

  • Papers 1-2 - Preliminaries and linearised continuum mechanics.
  • Papers 3-4 - Nonlinear continuum mechanics

Booklists

Please refer to the Booklist for Part IIB Courses for references to this module, this can be found on the associated Moodle course.

Examination Guidelines

Please refer to Form & conduct of the examinations.

UK-SPEC

This syllabus contributes to the following areas of the UK-SPEC standard:

Toggle display of UK-SPEC areas.

GT1

Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.

IA1

Apply appropriate quantitative science and engineering tools to the analysis of problems.

IA2

Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.

KU1

Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.

KU2

Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.

E1

Ability to use fundamental knowledge to investigate new and emerging technologies.

E2

Ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate.

E3

Ability to apply mathematical and computer based models for solving problems in engineering, and the ability to assess the limitations of particular cases.

P3

Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).

US1

A comprehensive understanding of the scientific principles of own specialisation and related disciplines.

US2

A comprehensive knowledge and understanding of mathematical and computer models relevant to the engineering discipline, and an appreciation of their limitations.

 
Last modified: 31/05/2024 10:02

Engineering Tripos Part IIB, 4C9: Continuum Mechanics, 2023-24

Module Leader

Dr G McShane

Lecturers

Prof GN Wells and Dr GJ McShane

Timing and Structure

Lent term. 16 lectures (including examples classes). Assessment: 100% exam

Prerequisites

3C7 assumed; 3D7 useful

Aims

The aims of the course are to:

  • develop a more in-depth understanding of continuum solid mechanics, with particular emphasis on the distinction between linearised (i.e. infinitesimal strain) and nonlinear continuum mechanics;
  • understand appropriate solution methods for particular boundary value problems, with a focus on elastic and visco-elastic materials.

Objectives

As specific objectives, by the end of the course students should be able to:

  • show a working knowledge of tensor notation
  • define deformation, stress and constitutive relationships, in both linear and nonlinear continuum mechanics
  • use energy approaches to define constitutive relationships and solve problems in linear and nonlinear elasticity
  • solve linear viscoelastic problems for arbitrary loading time-histories
  • understand numerical solution methods for nonlinear continuum mechanics problems.

Content

This is an advanced course in continuum solid mechanics building on material covered in the Part IIA course 3C7. The aim of the course is to develop a more in-depth understanding of the techniques employed in continuum solid mechanics, for both small and large deformations, with particular emphasis on the response of elastic and visco-elastic bodies.

 

Preliminaries (2L, Dr GJ McShane)

  • Introduction to indicial notation.
  • Vectors, tensors and their manipulation.

Linearised Continuum Mechanics (6L, Dr GJ McShane)

  • Kinematics: infinitesimal strains, compatibility.
  • Conservation laws; stress and equilibrium.
  • Linear elasticity: method of stationary potential energy.
  • Linear viscoelasticity: constitutive equations;  solving viscoelastic problems in 1D for arbitrary loading time-histories; viscoelastic analysis in 3D.

Nonlinear Continuum Mechanics (8L, Prof GN Wells)

  • Nonlinear kinematics.
  • Strain rates and stress measures.
  • Nonlinear elasticity:  stationary potential energy and hyper-elasticity.
  • Numerical solution methods.

Examples papers

  • Papers 1-2 - Preliminaries and linearised continuum mechanics.
  • Papers 3-4 - Nonlinear continuum mechanics

Booklists

Please refer to the Booklist for Part IIB Courses for references to this module, this can be found on the associated Moodle course.

Examination Guidelines

Please refer to Form & conduct of the examinations.

UK-SPEC

This syllabus contributes to the following areas of the UK-SPEC standard:

Toggle display of UK-SPEC areas.

GT1

Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.

IA1

Apply appropriate quantitative science and engineering tools to the analysis of problems.

IA2

Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.

KU1

Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.

KU2

Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.

E1

Ability to use fundamental knowledge to investigate new and emerging technologies.

E2

Ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate.

E3

Ability to apply mathematical and computer based models for solving problems in engineering, and the ability to assess the limitations of particular cases.

P3

Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).

US1

A comprehensive understanding of the scientific principles of own specialisation and related disciplines.

US2

A comprehensive knowledge and understanding of mathematical and computer models relevant to the engineering discipline, and an appreciation of their limitations.

 
Last modified: 30/05/2023 15:28

Engineering Tripos Part IIB, 4C9: Continuum Mechanics, 2018-19

Module Leader

Dr G McShane

Lecturers

Prof GN Wells and Dr GJ McShane

Timing and Structure

Lent term. 16 lectures (including examples classes). Assessment: 100% exam

Prerequisites

3C7 assumed; 3D7 useful

Aims

The aims of the course are to:

  • develop a more in-depth understanding of continuum solid mechanics, with particular emphasis on the distinction between linearised (i.e. infinitesimal strain) and nonlinear continuum mechanics;
  • understand appropriate solution methods for particular boundary value problems, with a focus on elastic and visco-elastic materials.

Objectives

As specific objectives, by the end of the course students should be able to:

  • show a working knowledge of tensor notation
  • understand how to define deformation, stress and constitutive relationships, in both linear and nonlinear continuum mechanics
  • use energy approaches to define constitutive relationships and solve problems in linear and nonlinear elasticity
  • solve linear viscoelastic problems for arbitrary loading time-histories
  • understand numerical solution methods for nonlinear continuum mechanics problems.

Content

This is an advanced course in continuum solid mechanics building on material covered in the Part IIA course 3C7. The aim of the course is to develop a more in-depth understanding of the techniques employed in continuum solid mechanics, for both small and large deformations, with particular emphasis on the response of elastic and visco-elastic bodies.

 

Preliminaries (2L, Dr GJ McShane)

  • Introduction to indicial notation.
  • Vectors, tensors and their manipulation.

Linearised Continuum Mechanics (6L, Dr GJ McShane)

  • Kinematics: infinitesimal strains, compatibility.
  • Conservation laws; stress and equilibrium.
  • Linear elasticity: method of stationary potential energy.
  • Linear viscoelasticity: constitutive equations;  solving viscoelastic problems in 1D for arbitrary loading time-histories; viscoelastic analysis in 3D.

Nonlinear Continuum Mechanics (8L, Prof GN Wells)

  • Nonlinear kinematics.
  • Strain rates and stress measures.
  • Nonlinear elasticity:  stationary potential energy and hyper-elasticity.
  • Numerical solution methods.
  • Note that this part of the 4C9 course is new for 2018-19.

Examples papers

  • Papers 1-2 - Preliminaries and linearised continuum mechanics.
  • Papers 3-4 - Nonlinear continuum mechanics

Booklists

Please see the Booklist for Group C Courses for references for this module.

Examination Guidelines

Please refer to Form & conduct of the examinations.

UK-SPEC

This syllabus contributes to the following areas of the UK-SPEC standard:

Toggle display of UK-SPEC areas.

GT1

Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.

IA1

Apply appropriate quantitative science and engineering tools to the analysis of problems.

IA2

Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.

KU1

Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.

KU2

Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.

E1

Ability to use fundamental knowledge to investigate new and emerging technologies.

E2

Ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate.

E3

Ability to apply mathematical and computer based models for solving problems in engineering, and the ability to assess the limitations of particular cases.

P3

Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).

US1

A comprehensive understanding of the scientific principles of own specialisation and related disciplines.

US2

A comprehensive knowledge and understanding of mathematical and computer models relevant to the engineering discipline, and an appreciation of their limitations.

 
Last modified: 03/08/2018 14:56

Engineering Tripos Part IIB, 4C9: Continuum Mechanics, 2017-18

Module Leader

Dr G McShane

Lecturers

Prof VS Deshpande and Dr GJ McShane

Timing and Structure

Lent term. 16 lectures (including examples classes). Assessment: 100% exam

Prerequisites

3C7 assumed; 3D7 useful

Aims

The aims of the course are to:

  • develop a more in-depth understanding of analytical techniques employed in continuum solid mechanics with particular emphasis on the response of elastic, visco-elastic and plastic bodies.

Objectives

As specific objectives, by the end of the course students should be able to:

  • show a working knowledge of Cartesian tensor notation
  • use the method of minimum potential energy to solve problems in linear elasticity
  • understand how to solve viscoelastic problems in 1D and 3D for arbitrary loading time-histories
  • know Drucker's stability postulate and understand the implications of convexity and normality
  • understand the difference between deformation and flow theories of plasticity
  • able to apply slip line field theory as well as upper and lower bound theorems for perfectly plastic solids

Content

This is an advanced course in continuum solid mechanics building on material covered in the Part IIA course 3C7. The aim of the course is to develop a more in-depth understanding of analytical techniques employed in continuum solid mechanics with particular emphasis on the response of elastic and plastic bodies.

Preliminaries (3L, Dr GJ McShane)

  • Introduction to indicial notation
  • Vectors, tensors and their manipulation
  • Stress and equilibrium, strain and compatibility, constitutive relationships

Elasticity and Viscoelasticity (5L, Dr GJ McShane)

  • Method of minimum potential energy
  • Examples: application to elastic beams and plates in bending
  • Deriving constitutive equations for linear viscoelasticity
  • Solving viscoelastic problems in 1D for arbitrary loading time-histories
  • Viscoelastic analysis in 3D

Plasticity (8L, Prof VS Deshpande)

  • Constitutive relationships - Drucker's stability postulate, normality and convexity conditions, yield criteria, flow rules, strain-hardening materials, flow and deformation theories of plasticity;
  • Limit analysis theorems;
  • Slip-line field theory; the solution of boundary value problems - metal forming, contact problems, cracked bodies.

Examples papers

  • Paper 1 - Preliminaries
  • Paper 2 - Elastic and viscoelastic analysis
  • Paper 3 - Plasticity 1
  • Paper 4 - Plasticity 2

Booklists

Please see the Booklist for Group C Courses for references for this module.

Examination Guidelines

Please refer to Form & conduct of the examinations.

UK-SPEC

This syllabus contributes to the following areas of the UK-SPEC standard:

Toggle display of UK-SPEC areas.

GT1

Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.

IA1

Apply appropriate quantitative science and engineering tools to the analysis of problems.

IA2

Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.

KU1

Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.

KU2

Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.

E1

Ability to use fundamental knowledge to investigate new and emerging technologies.

E2

Ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate.

E3

Ability to apply mathematical and computer based models for solving problems in engineering, and the ability to assess the limitations of particular cases.

P3

Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).

US1

A comprehensive understanding of the scientific principles of own specialisation and related disciplines.

US2

A comprehensive knowledge and understanding of mathematical and computer models relevant to the engineering discipline, and an appreciation of their limitations.

 
Last modified: 31/05/2017 09:12

Engineering Tripos Part IIB, 4C9: Continuum Mechanics, 2019-20

Module Leader

Dr G McShane

Lecturers

Prof GN Wells and Dr GJ McShane

Timing and Structure

Lent term. 16 lectures (including examples classes). Assessment: 100% exam

Prerequisites

3C7 assumed; 3D7 useful

Aims

The aims of the course are to:

  • develop a more in-depth understanding of continuum solid mechanics, with particular emphasis on the distinction between linearised (i.e. infinitesimal strain) and nonlinear continuum mechanics;
  • understand appropriate solution methods for particular boundary value problems, with a focus on elastic and visco-elastic materials.

Objectives

As specific objectives, by the end of the course students should be able to:

  • show a working knowledge of tensor notation
  • understand how to define deformation, stress and constitutive relationships, in both linear and nonlinear continuum mechanics
  • use energy approaches to define constitutive relationships and solve problems in linear and nonlinear elasticity
  • solve linear viscoelastic problems for arbitrary loading time-histories
  • understand numerical solution methods for nonlinear continuum mechanics problems.

Content

This is an advanced course in continuum solid mechanics building on material covered in the Part IIA course 3C7. The aim of the course is to develop a more in-depth understanding of the techniques employed in continuum solid mechanics, for both small and large deformations, with particular emphasis on the response of elastic and visco-elastic bodies.

 

Preliminaries (2L, Dr GJ McShane)

  • Introduction to indicial notation.
  • Vectors, tensors and their manipulation.

Linearised Continuum Mechanics (6L, Dr GJ McShane)

  • Kinematics: infinitesimal strains, compatibility.
  • Conservation laws; stress and equilibrium.
  • Linear elasticity: method of stationary potential energy.
  • Linear viscoelasticity: constitutive equations;  solving viscoelastic problems in 1D for arbitrary loading time-histories; viscoelastic analysis in 3D.

Nonlinear Continuum Mechanics (8L, Prof GN Wells)

  • Nonlinear kinematics.
  • Strain rates and stress measures.
  • Nonlinear elasticity:  stationary potential energy and hyper-elasticity.
  • Numerical solution methods.
  • Note that this part of the 4C9 course is new for 2018-19.

Examples papers

  • Papers 1-2 - Preliminaries and linearised continuum mechanics.
  • Papers 3-4 - Nonlinear continuum mechanics

Booklists

Please see the Booklist for Group C Courses for references for this module.

Examination Guidelines

Please refer to Form & conduct of the examinations.

UK-SPEC

This syllabus contributes to the following areas of the UK-SPEC standard:

Toggle display of UK-SPEC areas.

GT1

Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.

IA1

Apply appropriate quantitative science and engineering tools to the analysis of problems.

IA2

Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.

KU1

Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.

KU2

Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.

E1

Ability to use fundamental knowledge to investigate new and emerging technologies.

E2

Ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate.

E3

Ability to apply mathematical and computer based models for solving problems in engineering, and the ability to assess the limitations of particular cases.

P3

Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).

US1

A comprehensive understanding of the scientific principles of own specialisation and related disciplines.

US2

A comprehensive knowledge and understanding of mathematical and computer models relevant to the engineering discipline, and an appreciation of their limitations.

 
Last modified: 24/05/2019 14:18

Engineering Tripos Part IIB, 4C9: Continuum Mechanics, 2020-21

Module Leader

Dr G McShane

Lecturers

Prof GN Wells and Dr GJ McShane

Timing and Structure

Lent term. 16 lectures (including examples classes). Assessment: 100% exam

Prerequisites

3C7 assumed; 3D7 useful

Aims

The aims of the course are to:

  • develop a more in-depth understanding of continuum solid mechanics, with particular emphasis on the distinction between linearised (i.e. infinitesimal strain) and nonlinear continuum mechanics;
  • understand appropriate solution methods for particular boundary value problems, with a focus on elastic and visco-elastic materials.

Objectives

As specific objectives, by the end of the course students should be able to:

  • show a working knowledge of tensor notation
  • define deformation, stress and constitutive relationships, in both linear and nonlinear continuum mechanics
  • use energy approaches to define constitutive relationships and solve problems in linear and nonlinear elasticity
  • solve linear viscoelastic problems for arbitrary loading time-histories
  • understand numerical solution methods for nonlinear continuum mechanics problems.

Content

This is an advanced course in continuum solid mechanics building on material covered in the Part IIA course 3C7. The aim of the course is to develop a more in-depth understanding of the techniques employed in continuum solid mechanics, for both small and large deformations, with particular emphasis on the response of elastic and visco-elastic bodies.

 

Preliminaries (2L, Dr GJ McShane)

  • Introduction to indicial notation.
  • Vectors, tensors and their manipulation.

Linearised Continuum Mechanics (6L, Dr GJ McShane)

  • Kinematics: infinitesimal strains, compatibility.
  • Conservation laws; stress and equilibrium.
  • Linear elasticity: method of stationary potential energy.
  • Linear viscoelasticity: constitutive equations;  solving viscoelastic problems in 1D for arbitrary loading time-histories; viscoelastic analysis in 3D.

Nonlinear Continuum Mechanics (8L, Prof GN Wells)

  • Nonlinear kinematics.
  • Strain rates and stress measures.
  • Nonlinear elasticity:  stationary potential energy and hyper-elasticity.
  • Numerical solution methods.

Examples papers

  • Papers 1-2 - Preliminaries and linearised continuum mechanics.
  • Papers 3-4 - Nonlinear continuum mechanics

Booklists

Please refer to the Booklist for Part IIB Courses for references to this module, this can be found on the associated Moodle course.

Examination Guidelines

Please refer to Form & conduct of the examinations.

UK-SPEC

This syllabus contributes to the following areas of the UK-SPEC standard:

Toggle display of UK-SPEC areas.

GT1

Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.

IA1

Apply appropriate quantitative science and engineering tools to the analysis of problems.

IA2

Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.

KU1

Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.

KU2

Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.

E1

Ability to use fundamental knowledge to investigate new and emerging technologies.

E2

Ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate.

E3

Ability to apply mathematical and computer based models for solving problems in engineering, and the ability to assess the limitations of particular cases.

P3

Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).

US1

A comprehensive understanding of the scientific principles of own specialisation and related disciplines.

US2

A comprehensive knowledge and understanding of mathematical and computer models relevant to the engineering discipline, and an appreciation of their limitations.

 
Last modified: 11/09/2020 19:52

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