TBA215 Structural Analysis

• Statically determinate structures: Beams, plane trusses and frames. Axial force, shear force and bending moment distribution in structures.
• Deflection - Deflection Diagrams and the Elastic Curve - Elastic Beam Theory - The Double Integration Method. Moment-Area Theorems - Conjugate Beam Method
• Deflection - Deflection Using Energy Methods - External Work and Strain Energy. Deflections using Energy Methods - Castiglino's Theorem - Principle of Virtual Work.
• Deflection - Method of Virtual Work: Beams and Frames. Virtual Strain Energy caused by Axial Load, Shear, Torsion, and Temperature

• Static indeterminate systems. Principle of virtual work. Strain energy. Virtual displacements and virtual forces. Unit load method[RT1] .

1. Advantages of indeterminate structures; Conditions: - Equilibrium, Compatibility and Force-Displacement; Analysis Procedure. Applications to Beams

2. Displacement Method of Analysis:

Application to Beam and Frames Analysis: Analysis Procedure; Examples

3. Beam Analysis using The Stiffness Method

4. Plane Frame Analysis using The Stiffness Method -

5. Structural Modelling and Computer Aided Design SAP2000.

Is it really necessary to be so specific in this syllabus?

The candidate will get knowledge in:

- Background and use of the equations of equilibrium

- The behavior of typical components as bars, beams and cables.

- Definition of stress, strain, elasticity and lateral contraction

- Basic assumptions in linear beam theory

- The difference between statically determinate and indeterminate structures

- Definition of shear stress, shear strain and shear modulus

- Source and distribution of shear stresses in beams

- Energy principals: Virtual work and stationary potential energy

- Principle of virtual displacements and principle of virtual forces

- Background and use of unit-load method

- Determination of the elastic deflections of a beam using the method of double integration and two important geometrical methods, namely, the moment-area theorems and the conjugate-beam method.

- Understanding the application of energy methods to solve problems involving slope and deflection

- Application of the force or flexibility method to analyze statically indeterminate trusses, beams, and frames

- Understanding the basic ideas for analyzing structures using the displacement method of analysis

- Understanding the application of the slope-deflection and moment distribution methods to analyze beams and frames composed of non-prismatic members.

- Using the basic fundamentals of the stiffness method for analyzing structures.

- Knowledge of using computer programs in structural engineering.