Module Title: Structural Analysis II English
 Credits: 5
 NFQ Level: 8
Module Delivered In 2 programme(s)
Teaching & Learning Strategies: Lectures; Project work; Private study
Module Aim: The aims of this module are: 1.) to develop the skills required to analyse the force distributions and deflections in 2 dimensional frames; 2.) to develop an understanding of the plastic theory of structures in relation to beams, 2d frames and reinforced concrete slabs; 3) to develop an understanding relevant to civil engineering structures of the structural dynamics of beams; 4) to develop the skills to use computer programs for the analysis of beams and 2d structures.
Learning Outcomes
On successful completion of this module the learner should be able to:
LO1 Analyse the shear force, bending moment and deflections of beams and 2d frames relevant to civil engineering using hand methods of calculations
LO2 Analyse the shear force, bending moment and deflections of beams and 2d frames relevant to civil engineering using commercially available software programs for frame analysis
LO3 Calculate the failure load of standard reinforced concrete slabs using the yield line method of analysis.
LO4 Apply the theorems of plastic collapse in calculating the failure load of continuous beams and simple portal frames
LO5 Describe the physics of structure vibration and calculate vibration characteristics for simple structures.
LO6 Qualitatively analyse continuous beam and 2d structures for deflection, shear and bending moment
Pre-requisite learning
Module Recommendations

This is prior learning (or a practical skill) that is recommended before enrolment in this module.

No recommendations listed
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module.
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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.
Structural Analysis I

## Module Content & Assessment

Indicative Content
Influence Coefficient Theorems
(a) Maxwells and Betti’s theorems - Reciprocality of influence coefficients in elastic structures - proof (b) Muller-Breslau’s principle - Proof of Theorem, Application to simple beam to produce influence lines, Application to continuous beams to produce influence lines
Analysis of continuous beams and 2d frames
(a) Differential settlement and thermal gradient effects (b) Beams, 2d sway and non sway frames analysed using i. Moment distribution ii. Virtual work iii. Stiffness method (slope deflection) (c) Qualitative analysis for deflection, shear force and bending moment.
Computer analysis for beams and 2d structures
(a) Analysis of deflections and forces for single span and continuous beams (b) Influence lines for continuous beams (c) Analysis of forces and deflections for 2d frames (d) Modelling of non prismatic members and curved members (e.g. arches)
(a) Load sharing based on structure stiffness (b) Shear wall systems and load distribution
Arch Structures
(a) Analysis of statically indeterminate 3 pin arches. (b) Analysis of 2 pin statically indeterminate arches using strain energy (Castigliano) and virtual work approaches. Use of numerical methods of integration to resolve formulae thus derived.
n/a
Theories of Failure
(a) Brief introduction to theories of failure
Structural Dynamics
(a) Free undamped vibration (b) Free damped vibration (c) Forced damped vibration (d) Damping methods in real structures (e) Vibration of simple structures – cantilever beam, simply supported beam, Rayleigh’s Method for beams in flexure.
Plastic Theory for Structures
(a) Elastic-plastic stress-strain relation (b) Plastic bending without an axial force (c) Effect of axial load on plastic moment (d) Collapse loads and collapse mechanisms: i. Mechanism condition; ii. equilibrium condition; iii. yield condition; iv. Fundamental theorems of plastic collapse - Uniqueness theorem, Upper bound theorem, Lower bound theorem; v. Work method and statical method; vi. Incremental collapse and shakedown (e) Plastic methods applied to continuous beams (f) Plastic methods applied to single bay portal frames (g) Plastic methods applied to multibay portal frames (h) Yield Line Analysis for Reinforced concrete slabs: i. Slab simply supported 4 sides; ii. Slab simply supported 3 sides, free on side 4; iii. Slab simply supported 2 sides, encastre 2 sides; iv. Slab encastre 4 sides; v. Slab encastre 3 sides, free on side 4
Stiffness Methods
(a) Matrix Stiffness Method (b) General stiffness method
Assessment Breakdown%
Continuous Assessment20.00%
Project15.00%
End of Module Formal Examination65.00%
Continuous Assessment
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Examination Term 1 Exam 1,6 10.00 n/a
Examination Term 2 Exam 1,3,4,5,6 10.00 n/a
Project
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Project No Description 1,2 15.00 n/a
 No Practical
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Formal Exam No Description 1,3,4,5,6 65.00 End-of-Semester

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