# ADVANCED STRESS ANALYSIS - 2021/2

Module code: ENG3171

## Module Overview

As engineers it is important to avoid structure or component failure due to overloading or excessive deflection, and stress analysis is the way of assessing such conditions. This module extends the stress analysis delivered in earlier years to cover advanced topics to provide the student with a comprehensive range of skills. This includes increased complexity due to component shape (non-symmetric sections, plates) and stresses caused by loading conditions not previously considered in detail (pressure, torsion and shear forces). Many structures, components and forms of loading are too complex to obtain exact solutions for. In such cases Energy methods can often be used to provide approximate solutions, enabling the engineer to carry out structural assessment. The module shows how energy methods can be used to find the response of structural systems to static loads.

### Module provider

Mechanical Engineering Sciences

### Module Leader

VIQUERAT Andrew (Mech Eng Sci)

## Overall student workload

Independent Learning Hours: 95

Tutorial Hours: 11

Guided Learning: 11

Captured Content: 33

Semester 2

None

## Module content

Indicative content includes:

Asymmetric bending of beams:

Product 2nd moment of area

Symmetric sections, asymmetric loading

Asymmetric sections

Axes of maximum and minimum bending stiffness

Torsion of non-circular sections:

Thin closed tubes - stress and twist

Open straight thin walled sections - stress and twist

Thin walled cellular structures - stress and twist

Shearing of thin walled sections:

Open sections - shear distribution and shear centre

Closed sections - shear distribution and shear centre

Pressurised thick walled cylinder

Lames equations

Internal and external pressure

Compound cylinders

Circular plates:

Moment-deflection stress relationships

General deflection equation

Displacement and stresses for various boundary conditions

Annular plates

Energy theorems:

Method of virtual forces and displacements

Theorem of stationary total potential energy

Deflection of beams:

Strain and potential energy in terms of deflection

Choice of suitable deflected shapes for various end conditions

Solutions for constant and stepped section beams

Deflection of plates:

Moment and torque-deflection-stress relationships

Strain energy expression for plate in terms of deflections

Solution of different types of planar edge boundary conditions

Buckling of beams and plates:

Beams

In-plane energy terms

Plates

## Assessment pattern

Assessment type Unit of assessment Weighting
Coursework COURSEWORK 30
Examination EXAM 70

## Alternative Assessment

All tests replaced by coursework.

## Assessment Strategy

The assessment strategy is designed to provide students with the opportunity to demonstrate their proficiency in applying some of the core concepts of stress analysis to real problems.

The summative assessment for this module consists of:

• 3 class tests [ Learning outcome 1, 2 ]       (3 hours)                    {30%}

• Examination [ Learning outcomes 1, 2 ]      (2 hours)                    {70%}

Formative assessment and feedback

• Formative verbal feedback is given in tutorials and following class tests 1 and 2

## Module aims

• complete the strength and stiffness analyses of previous courses by considering other forms of commonly encountered structures and structural loading
• provide an awareness of the role of energy principles generally in determining approximate solutions for complex structural problems

## Learning outcomes

 Attributes Developed 1 Calculate the strength and stiffness of a representative range of structures subject to static loading KC 2 Demonstrate a comprehensive understanding of the concept of stationery potential energy and use this to obtain estimates of the response of rectangular plates to both lateral and in-plane loading. KC

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:

The material is delivered in a series of lectures for which there are supporting tutorial questions. Problems in solving the tutorial questions are covered in the tutorial sessions. The module is supported through SurreyLearn with extensive online module information, notes, tutorial solutions and past papers with numerical solutions.

The learning and teaching methods include:

• 3 hours lectures per week x 11 weeks

• 1 hour tutorial per week x 11 weeks

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

https://readinglists.surrey.ac.uk
Upon accessing the reading list, please search for the module using the module code: ENG3171

## Programmes this module appears in

Programme Semester Classification Qualifying conditions
Aerospace Engineering BEng (Hons) 2 Optional A weighted aggregate mark of 40% is required to pass the module
Automotive Engineering MEng 2 Optional A weighted aggregate mark of 40% is required to pass the module
Mechanical Engineering BEng (Hons) 2 Optional A weighted aggregate mark of 40% is required to pass the module
Mechanical Engineering MEng 2 Optional A weighted aggregate mark of 40% is required to pass the module
Aerospace Engineering MEng 2 Optional A weighted aggregate mark of 40% is required to pass the module
Biomedical Engineering MEng 2 Optional A weighted aggregate mark of 40% is required to pass the module

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 2021/2 academic year.