TBA215 Structural Analysis
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
- 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?
- Application of the
force or flexibility method to analyze statically indeterminate trusses, beams, and frames
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
- 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.
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.
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)
TBM120, TBA222, TBA223 and TBA224 (or corresponding previous knowledge);
Delivery of assignments during the course.
3.5 hour written examination. Mandatory assignments must be approved in order to take the exam.
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.
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