# Study-Unit Description

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CODE CVE5643

TITLE Structural Mechanics 1

LEVEL 05 - Postgraduate Modular Diploma or Degree Course

ECTS CREDITS 5

DEPARTMENT Civil and Structural Engineering

DESCRIPTION The study-unit reprises the introduction to structural mechanics normally undertaken in undergraduate studies, and develops classical structural mechanics concepts based on the theory of elasticity and plasticity. The study-unit also addresses elastic instability, contact stresses, and an introduction to vibrations in structures.

Study-unit Aims:

The study-unit aims to provide students with a sound understanding of structural mechanics, based on the classical mathematical theory of elasticity, and on classical plasticity, exploring the development of direct and shear stresses and strains in structural elements and systems, including torsional effects, and yield and failure criteria. Finally, the study-unit aims to offer an introduction to the dynamic behaviour of structural elements, including concepts such as natural frequency and resonance and damping, and impact stresses.

Learning Outcomes:

1. Knowledge & Understanding:

By the end of the study-unit the student will be able to:
- Examine and evaluate principal stresses, and stress and strain relationships in 3D systems, including plane stress and plane strain situations, and the airy stress function;
- Synthesize the significance of the equations of equilibrium and compatibility in classical elastic theory;
- Explain yield and failure criteria in 3D, and significance of strain-hardening;
- Explain strain energy concepts in structural elements;
- Recognize bending behaviour of sections with arbitrary cross-sections;
- Recognize the torsional behaviour of thin walled open and single cell closed sections;
- Discuss the implications of non-uniform torsional loading and warping effects;
- Examine buckling of sway and non-sway compressive elements, lateral torsional buckling of bending elements, and frame buckling of sway frames;
- Formulate St.Venant's principle for the localisation of structural actions;
- Define the mechanics of the free and forced vibrations of beams with various loading conditions, and the effects of damping;
- Discuss the effect of impact stresses in structural elements.

2. Skills:

By the end of the study-unit the student will be able to:
- Evaluate direct and shear stress distributions on a mono-symmetric cross-section under moments and shear forces, including complementary shear, and the evaluation of the position of the shear centre;
- Evaluate torsional stresses for thin-walled open and single cell closed sections;
- Evaluate buckling capacities of compressive and bending elements, and plane frames;
- Assess the plastic behaviour of ductile bending elements;
- Assess stress concentrations and contact stresses in structural elements;
- Assess the natural frequency of bending elements under free and forced vibration conditions.

Main Text/s and any supplementary readings:

- Benham, P.P., Warnock,F.V., (1976), Mechanics of Solids and Structures, Pitman International Text.
- Case, J., Chilver, A.H., (1974), Strength of Materials and Structures.
- Marshall,W.T. & Nelson, (Revised by Bhatt,P. & Nelson, H.M.), (1990), Structures, Longman and J.Wiley & Sons, New York.
- Ghali, A., & Neville,A.M., (1990) Structural Analysis – A Unified Classical Approach, Chapman & Hall and J.Wiley & Sons, New York.
- Jenkins, W.M., (1982), Structural Mechanics and Analysis – Level IV/V, Van Nostrand Reinhold, New York.
- Neal, B.G., (1977) The Plastic Methods of Structural Analysis, 3rd ed., Chapman and Hall, New York.
- Timoshenko, S.P., & Goodier, J.N., (1970), Theory of Elasticity, 3rd ed., McGraw-Hill, New York.
- Timoshenko, S.P., & Gere, J.M., (1963), Theory of Elastic Stability, 2nd ed., McGraw-Hill, New York.
- Brush, D.O. & Almroth, B.O., (1975), Buckling of Bars, Plates and Shells, McGraw-Hill, New York.

STUDY-UNIT TYPE Lecture, Independent Study & Tutorial

METHOD OF ASSESSMENT
 Assessment Component/s Assessment Due Resit Availability Weighting Examination (2 Hours) SEM1 Yes 100%

LECTURER/S Marc Bonello

The University makes every effort to ensure that the published Courses Plans, Programmes of Study and Study-Unit information are complete and up-to-date at the time of publication. The University reserves the right to make changes in case errors are detected after publication.
The availability of optional units may be subject to timetabling constraints.
Units not attracting a sufficient number of registrations may be withdrawn without notice.
It should be noted that all the information in the description above applies to study-units available during the academic year 2021/2. It may be subject to change in subsequent years.

https://www.um.edu.mt/course/studyunit