Course code TBA215

TBA215 Structural Analysis

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Showing course contents for the educational year 2022 - 2023 .

Course responsible: Ebenezer Ussher, Roberto Tomasi
ECTS credits: 10
Faculty: Faculty of Science and Technology
Teaching exam periods:
This course starts in autumn semester. This course has teaching / evaluation in autumn semester.
Course frequency: Annually
First time: Study year 2022-2023
Course contents:
  • 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?

Learning outcome:

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.

Learning activities:
The material is presented through lectures, supported by course literature. The theory is being applied to practical engineering design tasks through supervised problem-solving. A certain amount of time is devoted to the application of Finite Element Modeling (FEM) - software training.
Teaching support:
Assistant teacher and lecturers will be available for supervision during office hours.
Hibbeler RC, Engineering Mechanics: Statics in SI Units, 14th Edition. Reading list and lecture notes will be handed out during the course.
FYS110 TBM120, (or corresponding previous knowledge)
Recommended prerequisites:
TBM120, TBA222, TBA223 and TBA224 (or corresponding previous knowledge);
Mandatory activity:
Delivery of assignments during the course.
3.5 hour written examination. Mandatory assignments must be approved in order to take the exam.
Nominal workload:
A total of approx. 250 hours of work is required, ie 8 hours of work must be expected per week in addition to the structured teaching.
Entrance requirements:
Special requirements in Science
Reduction of credits:
5 credits overlapping with TBA320 (15 credits) only for the accademic year 2021-2022.
Type of course:
Lectures: 50hours (4 hours per week). Exercises: 30 hours (2 hours per week).
The external and internal examiner jointly prepare the exam questions and the correction manual. The external examiner reviews the internal examiner's examination results by correcting a random sample of candidates exams as a calibration according to the Department's guidelines for examination markings.
Examination details: Combined assessment: Letter grades