Resources by Royal Academy of Engineering

The Mathematics of Engineering Surveying (2)

In this resource students are to play the role of a graduate engineer working within an engineering surveying department for a major contractor.

Learners are to help establish the exact position of the intersection points of the tangents to the circular curves that form the alignment of a road in a new...

The Mathematics of Engineering Surveying (3)

In this resource students are to play the role of a graduate engineer working within an engineering surveying department for a major contractor.

Learners are required to establish the position of a number of additional control points to be subsequently used to establish the road centre line in a new highway...

The Mathematics of Escalators on the London Underground

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics for the operation of escalators on the London underground. Students consider a variety of issues which include passenger numbers and flow, as well as carbon emissions, escalator speed and energy efficiency. Detailed...

The Mathematics of Framed Bridge Structures

In this resource students are to play the role of a graduate structural engineer for a major construction company, given the task of designing a steel bridge to carry a railway across a major motorway.

As part of the process learners have to analyse the proposed pin-jointed steel truss bridge by solving...

The Mathematics of Highway Design

In this resource students are to play the role of a graduate engineer working to build a two mile by-pass around a small rural village for a major contractor.

The task is to determine the alignment of the new road using information provided by the company that designed it. To do this learners will need to...

The Mathematics of Material Quality Control

In this resource students are asked to test and monitor the strength of concrete specimens brought in to a materials testing laboratory.

In this exercise learners will consider some of the statistical issues that are relevant to the testing and control of concrete quality based on the testing of concrete...

The Mathematics of Pumping Water

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics when designing a pumping system. The operating pressure of a pumping system can vary due to various factors, so all the relevant operating conditions need to be assessed to ensure the selected pump is capable of...

The Mathematics of Simple Beam Deflection

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within a civil engineering environment. Here students apply standard deflection formulae to solve some typical beam deflection design problems. These formulae form the basis of the calculations that would be undertaken...

The Mathematics of Water Flow in Channels

In this resource students are asked to play the role of a newly qualified engineering graduate that has taken a year out to work for an overseas aid agency in a developing country.

The civil engineering project you are working on aims to provide water to a number of rural villages where clean water for...