# STRUCTURAL ANALYSIS 1 - 2019/0

Module code: ENG2103

## Module Overview

The module provides students with: a further insight into the response of structures to static load, to include elastic deformation and plastic collapse; an introduction to the analysis of statically indeterminate structures; and introduction to vibrations of structures by considering simple degree of freedom systems.

### Module provider

Civil and Environmental Engineering

MITOULIS Stergios (Civl Env Eng)

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

Independent Learning Hours: 112

Lecture Hours: 24

Tutorial Hours: 11

Laboratory Hours: 3

Semester 1

## Prerequisites / Co-requisites

Completion of the progress requirements of FHEQ Level 4 on a Civil Engineering Degree Programme.

## Module content

1. Structural Mechanics

Strain energy methods in linear elastic systems - solution for displacements in statically determinate plane beams and trusses;

Plastic and elastic beam section properties - yield and plastic moment, shape factor;

Concept of failure of simple beams by rigid plastic collapse;

Buckling of slender columns, Euler buckling, effective length and slenderness ratio.

2.  Structural Analysis

Definition of static indeterminacy – order of indeterminacy and degrees of freedom;

Introduction to and development of the Displacement Method for simple plane beams and frames – use of the Slope-deflection equations;

Use of Moment Distribution for the solution of continuous beams;

Processes of independent checking and simple validation of skeletal (truss and unbraced-frame) models.

3. Dynamics

Free, forced and damped vibration of simple structures, modelled using a single degree of freedom (SDOF) system

Viscous damped free vibration - impulse and harmonic loading - critical damping and magnification factor (resonance)

Introduction to basic seismic analysis of structures using the Response Spectrum approach

## Assessment pattern

Assessment type Unit of assessment Weighting
Examination EXAMINATION 70
Coursework STRUCTURAL ANALYSIS ASSIGNMENT and LABORATORY REPORT 20
School-timetabled exam/test MECHANIC AND DYNAMICS CLASS QUIZZES 10

## Alternative Assessment

Alternative assessments for Mechanics and Dynamics class quizzes and/or laboratory report will be coursework assignments.

## Assessment Strategy

The assessment strategy is designed to provide students with the opportunity to demonstrate

• Ability to apply the principles of structural mechanics, analysis to solve plane for forces and displacements in statically determinate beams and/or trusses and demonstrate knowledge of and ability to apply the principles of simple dynamic systems to the solution of plane vibration/oscillatory problems (LO’s 1-7)

• Ability to create appropriate analytical models (using a suitable commercially available software package) of simple skeletal structures, such as continuous beams and/or frames and trusses and to be able to appropriately verify and valid the model and results obtained (LO’s 4 and 5)

• Ability to present engineering calculations with appropriate us of data and presentation of data in tables and graphically (LO’s 8-11)

Thus, the summative assessment for this module consists of:

• Examination [Learning outcomes assessed: 1-7] (2 hours, 70%)

• Structural Analysis Assignment (15 hours) [Learning outcomes assessed: 4 and 5] (15 hours, 10%); Laboratory measurement exercise and report [Learning outcomes assessed: 3, 5, 6, 9 10 and 11] (15 hours, 10%); Mechanics and Dynamics Class Quizzes (4 online short quizzes) [Learning outcome assessed:  1-3 and 6-7] (15 hours, 10%)

Formative assessment and feedback

Formative assessment and feedback is provided via the weekly supported tutorial work  (15 hours).  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

• The deformability of structures and the principles of the elastic analysis of statically determinate structural forms
• Slender strut buckling and introduce the instability collapse behaviour of structures under in-plane compressive loads
• The analysis of statically indeterminate beams and simple no-sway frames
• The use of structural analysis software – modelling and interpretation of behaviour
• The dynamic response of free and forced vibration of a single degree of freedom un-damped and damped systems

## Learning outcomes

 Attributes Developed 002 Determine and interpret the deformation of statically determinate plane truss, beam and frame structures subjected to external loads. CP 003 Calculate and interpret the elastic and plastic section properties for typical plane beam sections; CP 004 Predict the elastic buckling loads and modes of failure for linearly elastic slender struts; CP 005 Determine and interpret the bending moments and shear forces in statically indeterminate beams with 2 degrees of freedom; CP 006 Use the concept of failure of simple beams by rigid plastic collapse - Static Approach; CP 007 Determine the natural frequency and dynamic response of systems with a single degree of freedom (damped and undamped); CP 008 Determine the forced response of a single degree of freedom system to impulse and harmonic loading; CP 001 Determine the internal forces, axial forces, shear forces and bending moments in statically determinate beams, plane frames and trusses CP 009 Synthesis of data C 010 Independent learning skills T 011 Graphical presentation of data T 012 2D and 3D spatial awareness T 013 Use of sketching and engineering drafting T

Attributes Developed

C - Cognitive/analytical

K - Subject knowledge

T - Transferable skills

P - Professional/Practical skills

## Methods of Teaching / Learning

Learning and teaching strategy:

The module provides the basis for structural analysis related topics in Structural Engineering at FHEQ Level 5, 6 and 7 on the MEng and BEng programmes in Civil Engineering.  It extends the curriculum to include deformability, basic stability and statical indeterminacy of structural form, an introduction to basic structural vibration and provides an introduction to use of computer based structural modelling, including steps of validation and verification.  This builds on the fundamentals covered in ENG1063 and ENG1076 at FHEQ Level 4 of the programmes.  The basic concepts of dynamic behaviour are also introduced.

Learning and teaching methods:

The module is delivered by weekly lectures and supported by tutorial classes (smaller groups) in the three main components plus a laboratory based exercise:

• Mechanics lectures (9 hours) and tutorials (4 hours)

• Structural Analysis lectures (10 hours) and tutorials (4 hours) plus Laboratory based exercise (3 hours)

• Dynamics lectures (6 hours) and tutorials (3 hours)

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.