SKAB 3243 Theory of Structures

 

Week 1

INTRODUCTION

Type and classification of structures. Idealization of structures and loading. Stability and determinacy of structures.

Week 2

Revision on analysis of determinate structures. Drawing of shear force and bending moment diagrams.

Week 3

STATICALLY INDETERMINATE BEAMS AND FRAMES Displacement Method of Analysis: The Slope Deflection Method Analysis of beams with and without support settlements

Week 4

Analysis of frames with and without sway.

Week 5

Displacement Method of Analysis: The Moment Distribution Method

Analysis of beams with and without support settlements.

Week 6

Analysis of frames with and without sway.

Week 7

Drawing of shear force and bending moment diagrams for indeterminate beams and frames

Briefing on Case Study Assignment.

Week 8

Mid-Semester Break

Week 9

Force Method of Analysis: The Virtual Work Method

Analysis of statically indeterminate beams and Frames.

Week 10

Force Method of Analysis: The Virtual Work Method

Analysis of externally and internally indeterminate trusses.

Week 11

INFLUENCE LINES FOR STATICALLY DETERMINATE BEAMS

Influence lines for determinate beams by using statics and Muller Breslau method.

Week 12

Analysis of beams due to a series of concentrated loads and uniformly distributed loads Absolute values for shear force and bending moment.

Week 13

PLASTIC METHOD FOR BEAMS AND FRAMES

Plastic material behavior, plastic hinge, elastic modulus, plastic section, plastic moment capacity of a beam section, collapse mechanism.

Week 14

Plastic analysis of indeterminate beams and frames by using the virtual work method.

Week 15

Case Study Presentation.

SKAA 4223 Structural Analysis

 

Week 1 INTRODUCTION
Load-Deflection Relationship
Static Equilibrium and compatibility Degrees of Freedom
Week 2 FLEXIBILITY METHOD
Force Method, Relationship Between Internal Force Matrix and External Force Matrix
Relationship Between External Displacement matrix and Internal Displacement matrix
Relationship Between Internal Displacement matrix and Internal Force matrix
Week 3 Solution formula
Analysis of Statically Determinate Using Flexibility Method
Analysis of Statically Indeterminate Using Flexibility Method Examples
Week 4 STIFFNESS METHOD: Truss Analysis
Basic concept of node and member numbering system Member Stiffness Matrix
Displacement transformation matrix
Force transformation matrix
Week 5 Global Stiffness Matrix
Analysis Procedures
Introduction to Plane Truss Analysis Examples
Week 6 STIFFNESS METHOD: Beam and Frame Analysis
Definitions and concepts, Member Stiffness Matrix Displacement transformation matrix
Force transformation matrix
Global Stiffness Matrix for Frame Member
Week 7 Global Stiffness Matrix for Beam Member Analysis Procedures
Examples
Test 1
Week 8 Mid-Semester Break
Week 9 INTRODUCTION TO FINITE ELEMENT METHOD
Finite element theory
Types of finite elements and element discretization Node numbering system
Week 10 Displacement function for bar element
Shape functions, Lagrange Polynomial Interpolation function Strain and stress formulation of bar element
Week 11 Stiffness of bar elements – minimum potential energy approach/ virtual work method/ Galerkin approach
Numerical examples
Week 12 ANALYSIS OF STRUCTURES USING SOFTWARES
Analysis of Portal Frame
Modelling of 3D Portal Frame from 2D Portal Frame
Modelling Technique Using Cut and Paste and User Tables
Week 13 How to Merge Two Structures
Analysis and Design of RC Frame
Simply Supported Beam with Full Lateral Restraint
Week 14 Assignment and Exercise
Week 15 Simply Supported Beam with Lateral Restraint at Point Loads
Simply Supported Beam Without Intermediate Restraint Column with Pinned Ends and Intermediate Support
Test 2

MEAE 1013 Advanced Structural Analysis and Modelling

 

Week 1

Stiffness matrix for 2D truss, beam and frame (review)

–  Thin beam and Thick beam behaviour

–  Stiffness formulation for thick beam and frame by direct method

Week 2

Stiffness matrix for grid structure

– Stiffness formulation for thick grillage element by direct method

– Analysis of floor slab using grillage beams

Week 3

Analysis of skeletal structures using software

– Hands-on training

Week 4

Analysis of skeletal structures using software

– Modelling and analysis of 2D and 3D frame structure

Week 5

Structural modelling using software

–  Preparing for more realistic model

–  Conditions that affect the analysis result, eg: rigid end offsets, flexible connection and flexible

support, local coordinate transformation, non-prismatic element

Week 6

Structural modelling using software

–  thermal loading and initial strain, displacement constraint

–  assembly of different types of elements

Week 7

Structural modelling using software

–  Sub-structuring

–  Stage construction analysis

Test 1

Week 8

Mid-Semester Break

Week 9

Formulation of bar element stiffness by FE approach

–  2-Node bar

–  3-Node bar

Week 10

2D solid element

–  Stress-strain constitutive model

–  Plane stress and plane strain

–  Formulation of plane stress and plane strain triangular 3-node element stiffness

Week 11

–  Formulation of plane stress and plane strain rectangular 4-node element stiffness

–  Computer application for 2D solid structure

Week 12

Modelling and analysis of 3D Structural System

–  Axisymmetric, plate bending and shell element behaviour

–  Computer modelling of 3D structural system

Week 13

– Computer modelling of 3D structural system

Week 14

– Computer modelling of 3D structural system

Week 15

Project presentation