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University of Cambridge Department of Engineering
Structures Research Group
Engineering Department > Structures Group > Teaching

Engineering Tripos Part IIA

  Structural Analysis and Stability - Module 3D4

Chris Burgoyne, Allan McRobie

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In the first part of the module the aims are to extend the elastic analysis of beams as given in Part I to cover asymmetric sections in bending, to revise the determination of shearing stresses in beams, to consider the torsion of open section beams, including effects due to restraint of warping and to introduce the concept of shear centre.  The course will cover the analysis of beams via differential equations, and their efficient solution using Macaulay's method.   The reciprocal theorem will be introduced which will lead to the study of influence lines.  The course will also cover some new applications of virtual work, grillages and other beams curved in plan.

In the second course the aims are to understand the fundamental principles of structural stability, to become familiar with common types of bifurcation and buckling phenomena and to formulate methods capable of dealing with geometrically non-linear structural behaviour. Once the general concept of stiffness degradation and the various post-buckling possibilities are understood, the course addresses the specific problem of column and beam design, taking account of initial imperfections, coexistent end-moments, residual stresses and material inelasticity.

This web page will contain all the lecture notes and handouts, together with relevant papers.

All material is copyright C J Burgoyne, F A McRobie * S Pellegrino.

Note that all links to teaching material can only be viewed from within the cam.ac.uk domain

Supervision List

Syllabus
Elastic Theory Handout 1A
Elastic Theory Handout 1B. See also the relevant 3C7 lectures relating to Prandtl.
Elastic Theory Handout 2.
Buckling Handout 1
Buckling Handout 2
Buckling Handout 3

Examples sheets (.pdf format)

Solutions will be provided in due course
 
Sheet 1 Solutions
Sheet 2 Solutions
Sheet 3 Solutions
Sheet 4 Solutions

Past Exam Papers (.pdf format)

Past examination papers are available here.  Please note that this course used to form part of paper G2.

Other material