Module code: ENG2088

Module Overview

The module provides students with further insight into the response of structures to static load, to include elastic deformation and plastic collapse. In addition students will receive an introduction to vibrations by considering simple 1o freedom systems.

Module provider

Mechanical Engineering Sciences

Module Leader

MOHAGHEGHIAN Iman (Mech Eng Sci)

Number of Credits: 15

ECTS Credits: 7.5

Framework: FHEQ Level 5

Module cap (Maximum number of students): N/A

Overall student workload

Independent Learning Hours: 81

Lecture Hours: 33

Tutorial Hours: 11

Captured Content: 25

Module Availability

Semester 1

Prerequisites / Co-requisites


Module content

Indicative content includes:

1. Mechanics

Strain energy methods in linear elastic systems

The concept of strain energy: axial loading and bending.

The method of real work, the method of virtual work: deflections of beams and trusses.

Buckling of slender columns, Euler buckling, slenderness ratio.

Plastic deformation, Stress-strain relation for elastic ideal-plastic material. Plastic bending of beams, shape factor, limit load.


2. Dynamics

2.1 Vibration of systems with a single degree of freedom.

Undamped free vibration

Equation of motion using Energy method

Time response

Systems with rotational DOF

Viscous damped free vibration

Overdamped system

Critically damped system

Underdamped system

2.2 Forced vibration of a Single Degree of Freedom System

Undamped forced vibration - Harmonic force

Viscous damped force vibration - Harmonic force

General forced response

Response to an impulse

Response to a general forcing condition

Vibration isolation



Assessment pattern

Assessment type Unit of assessment Weighting
Online Scheduled Summative Class Test Online MCQ Test - 1 of 2 (90 minutes) 5
Online Scheduled Summative Class Test Online MCQ Test - 2 of 2 (90 minutes) 5
Examination Exam (2hr duration) 90

Alternative Assessment


Assessment Strategy

The assessment strategy is designed to provide students with the opportunity to demonstrate their abilities (i) to apply the principles of mechanics to cases of axial load and bending and to calculate forces and displacements in statically determinate beams and/or trusses, (ii) to apply the principles of simple dynamic systems to the solution of vibration/oscillatory problems

Summative assessment

The summative assessment consists of 2 online tests covering the Mechanics content and a final examination covering the Mechanics and Dynamics content.

Class test 1 - Learning outcome 1

Class test 2 - Learning outcomes 2 & 3

Exam - Learning outcomes 1-6

Formative assessment and feedback

Formative assessment and feedback is provided via the weekly supported tutorial work and through self-assessment exercises provided via SurreyLearn.  The students complete a set of worked solutions to a range of questions in the tutorial classes and are provided with tutor support in comment and feedback in the sessions.  

Module aims

  • To introduce the students to the deformability of structures and the principles of the elastic analysis of statically determinate structural forms. Also students will learn how slender structures under in-plane compressive loads collapse.
  • To develop an understanding of the dynamic response of un-damped and damped single degree of freedom systems under free and forced vibration.

Learning outcomes

Attributes Developed
001 Determine and interpret the internal loads and resulting displacements in simple statically determinate structures subjected to axial or moment loads. C
002 Calculate elastic and plastic section properties for typical plane beam sections;  C
003 Predict the elastic buckling loads and modes of failure for linearly elastic slender struts; C
004 Determine the natural frequency and dynamic response of systems with a single degree of freedom; C
005 Determine the forced response of systems with a single degree of freedom; C
006 Analyse vibration isolators for vibrating mechanical systems; K

Attributes Developed

C - Cognitive/analytical

K - Subject knowledge

T - Transferable skills

P - Professional/Practical skills

Methods of Teaching / Learning

The learning and teaching strategy is designed to:

Introduce solid mechanics principles in the areas of stress analysis and dynamics through theory with worked examples.  This is delivered principally through lectures and tutorial classes.

The learning and teaching methods include:

  • Mechanics lectures and tutorials 

  • Dynamics lectures and tutorials

Indicated Lecture Hours (which may also include seminars, tutorials, workshops and other contact time) are approximate and may include in-class tests where one or more of these are an assessment on the module. In-class tests are scheduled/organised separately to taught content and will be published on to student personal timetables, where they apply to taken modules, as soon as they are finalised by central administration. This will usually be after the initial publication of the teaching timetable for the relevant semester.

Reading list
Upon accessing the reading list, please search for the module using the module code: ENG2088

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2025/6 academic year.