Module Title: | Structural Analysis I |
Language of Instruction: | English |
Teaching & Learning Strategies: |
Lectures
Demonstrations
Project work
Practicals / Site visits
Private study
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Module Aim: |
(1) To develop an understanding of the stress and strain behaviour of elastic and elastoplastic materials under axial, flexural and torsional loads.
(2) To develop an understanding of basic structural concepts relevant to civil engineering structures.
(3) To develop the skills required to analyse the force distributions on simple, encastre and continuous beams and plane trusses.
(4) To develop an understanding of behaviour of struts
(5) To introduce the concepts of real work, virtual work and strain energy and apply them to finding deflections and analysing statically indeterminate beams and trusses.
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Learning Outcomes |
On successful completion of this module the learner should be able to: |
LO1 |
Analyse the stresses and strains due to shear force and bending moment on a beam. |
LO2 |
Analyse the stresses and strains due to torsion on circular shafts and rectangular beams. |
LO3 |
Calculate the principal stresses on a section due to a combination of shear and normal stresses. |
LO4 |
To explain the concept of buckling of struts and derive the Euler buckling formula for struts with pinned and encastre ends and to apply these concepts to real struts. |
LO5 |
To analyse the distribution of shear force and bending moment on simply supported and continuous beams using Macauly’s method |
LO6 |
Apply the principles of statics to analyse the forces for statically determinate beams, trusses and simple statics problems |
LO7 |
To apply the method of virtual work to calculate deflections and forces in beams and pin jointed structures. |
LO8 |
To calculate the distribution of shear force and bending moment in continuous beams using moment distribution. |
LO9 |
To calculate the distribution of shear force and bending moment in continuous beams using the slope deflection method. |
LO10 |
Apply the principle of virtual work force method to resolve forces in statically indeterminate beams and trusses |
Pre-requisite learning |
Module Recommendations
This is prior learning (or a practical skill) that is recommended before enrolment in this module.
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6804 |
ANAL H4501 |
Structural Analysis I |
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module. |
No incompatible modules listed |
Co-requisite Modules
|
No Co-requisite modules listed |
Requirements
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed. |
Bachelor of Engineering (Ordinary) in Civil Engineering |
Module Content & Assessment
Indicative Content |
Basic Strength of Materials:
(i) Stresses and Strain
(ii) Normal strain
(iii) Shear strain
(iv) Stress / Strain relationships
(v) Stress concentrations
a) Pure Bending of Beams
(i) The Flexure formula
(ii) 2nd moment of area
(iii) Relationship between flexure and curvature
(iv) Differential equation of flexure
(v) Macauly’s method
(vi) Inelastic bending of beams
(vii) Beams of two materials
b) Shearing Stress in Beams
(i) Relation between shear and bending moment
(ii) Shear Flow
(iii) Shearing Stress formula for beams
(iv) Limitations of shearing stress formula
(v) Shear centre
c) Torsion
(i) Torsion Force, Strain, Angle of twist
(ii) The torsion formula for circular sections
(iii) Torsional stress calculations
(iv) Angle of twist of circular members
(v) Thin walled tubes
(vi) Thick walled tubes
(vii) Solid noncircular members
d) Compound Stresses
(i) Superpositions
(ii) Combined axial and flexural stresses
(iii) The Dam problem
(iv) Unsymmetrical bending
e) Analysis of Plane Stress and Strain
(i) Equations for the transformation of plane stress and plane strain
(ii) Principle stresses and strains
(iii) Maximum shearing stress and strain
(iv) Mohr’s circle of stresses and strain
(v) Strain measurements rosettes
(vi) Relationship between E, G and υ
f) Buckling and Related topics
(i) Euler buckling theory of struts
(ii) Real behaviour of Struts
1. Initial curvature
2. Eccentric loadings
3. Allowable stress in steel struts– Perry- Robertson formula
(iii) The secant formula
(iv) Southwell Plot
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Basic structural concepts
(a) Equilibrium, Actions and reactions
(b) Linearity
(c) Superposition
(d) Compatibility
(e) Determinancy
(f) Geometric Stability
(g) Influence coefficients
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Statically determinate plane structures
a) Problems in statics - equilibrium, friction, buoyancy
b) Analysis of plane trusses
c) Statically determinate beams
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Energy Methods
(a) Definition of complementary work and complementary energy
(b) Strain energy and strain energy theorems (Castigliano)
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Principle of virtual work
a) Definition of Virtual Work and derivation of virtual work Theorems
b) Application – Unit load method for deflections – Truss, cantilever, SS beam
c) Forces in statically indeterminate structures – beams, trusses.
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Stiffness
(a) Stiffness Influence coefficients
(b) Member stiffness and flexibility equations
(c) Transformation of axes
(d) Slope deflection method – continuous beams
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Flexibility
(a) Definition
(b) Application of flexibility method to propped cantilever
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Introduction to moment distribution.
(a) Terminology and sign convention
(b) Application of moment distribution to continuous beams
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Time-independent and time-dependent behaviour
(a) Elasticity
(b) Plasticity
(c) Viscoelasticity
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Moment Area
(a) First and second moment area theorems
(b) Application to Simply Supported Beam, Continuous Beam, Cantilever Beam
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Structures Laboratory
a) Stress Strain plot for steel bar to failure.
b) Deflection plot for simply supported beam, cantilever and continuous beams
c) Strain measurements on beam using electronic rosettes
d) Behaviour of struts
e) Modulus of Rigidity
f) Law of the Lever
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Assessment Breakdown | % |
Continuous Assessment | 20.00% |
Project | 10.00% |
Practical | 10.00% |
End of Module Formal Examination | 60.00% |
Continuous Assessment |
Assessment Type |
Assessment Description |
Outcome addressed |
% of total |
Assessment Date |
Examination |
Term 1 Exam |
1,2,5,6,7 |
10.00 |
n/a |
Examination |
Term 2 Exam |
1,2,3,4,5,6,7,8,9,10 |
10.00 |
n/a |
Project |
Assessment Type |
Assessment Description |
Outcome addressed |
% of total |
Assessment Date |
Project |
Projects/ Assignments |
1,2,3,4,5,7,8,9,10 |
10.00 |
n/a |
Practical |
Assessment Type |
Assessment Description |
Outcome addressed |
% of total |
Assessment Date |
Practical/Skills Evaluation |
Practical work |
1,2,3,4,5 |
10.00 |
n/a |
End of Module Formal Examination |
Assessment Type |
Assessment Description |
Outcome addressed |
% of total |
Assessment Date |
Formal Exam |
Final |
1,2,3,4,5,6,7,8,9,10 |
60.00 |
End-of-Semester |
SETU Carlow Campus reserves the right to alter the nature and timings of assessment
Module Workload
Workload: Full Time |
Workload Type |
Frequency |
Average Weekly Learner Workload |
Lecture |
30 Weeks per Stage |
4.00 |
Estimated Learner Hours |
30 Weeks per Stage |
5.00 |
Total Hours |
270.00 |
Module Delivered In
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