Course syllabus

Solid Mechanics, Basic Course
Hållfasthetslära, allmän kurs

FHLF15, 15.0 credits, G2 (First Cycle)

Valid for: 2024/25
Faculty: Faculty of Engineering LTH
Decided by: PLED M
Date of Decision: 2024-04-09
Effective: 2024-05-08

General Information

Main field: Technology Depth of study relative to the degree requirements: First cycle, in-depth level of the course cannot be classified
Mandatory for: M2, MD2
Language of instruction: The course will be given in Swedish

Aim

The aim is to achieve such a knowledge within solid mechanics that every Master of Mechanical Engineering is expected to possess.

Learning outcomes

Knowledge and understanding
For a passing grade the student must

Competences and skills
For a passing grade the student must

Judgement and approach
For a passing grade the student must

Contents

Part 1

This first part of the course treats uniaxial stress and deformation analysis with application to design with respect to allowable stresses and deformations in bars under axial loads, beams under bending loads, and circular bars under twisting loads.

The basic concepts of normal and shear stress, normal and shear strain are defined. Based on measurements on uniaxial test pieces, idealized constitutive models are formulated, which exhibit elastic, plastic and viscoelastic behavior. The difference between statically determinate and indeterminate problems are discussed with respect to the solution methodology, and the need for deformation conditions at statically indeterminate problems is paid attention.

Elementary stability theory for axially compressed struts is discussed, and design with respect to the Eulerian elementary cases is treated.

Part 2

This first The concepts from AKI are generalized, i.e. the general elastic boundary value problem is formulated (this comprises the generalized stress and strain state, Hooke's generalized law, the general equilibrium equations and the corresponding boundary conditions). As examples of solution or the general elastic boundary value problem, torsion of beams with non-circular cross-section and the response of axisymmetric discs are treated. Then the theory of strain gauges is given and the practical application is illustrated in a laboratory task. As design criteria for structural and mechanical components, yield criteria, fracture mechanics and fatigue are considered. Then a systematic matrix approach for analysis of truss structures is given and the principle of virtual work is introduced. Energy methods and the theorems of Maxwell, Castigliano and Betti are described. Finally, an introduction to the dynamic response of simple structures is given.

Exercises in problem solving.

 

Examination details

Grading scale: TH - (U, 3, 4, 5) - (Fail, Three, Four, Five)
Assessment: Both parts (AKI and AKII) of the course include written examinations. In order to achieve a final grade, it is required that the labs and projects as well as the examinations are completed and approved.

The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.

Modules
Code: 0119. Name: Solid Mechanics, Basic Course I.
Credits: 7.5. Grading scale: UG - (U, G). Assessment: See general description in the beginning. The module includes: The course treats uniaxial stress and deformation analysis with application to design wih respect to allowable stresses and deformations in bars under axial loads, beams under bending loads, and circular bars under twisting loads. The basic concepts of normal and shear stress, normal and shear strain are defined. Based on measurements on uniaxial test pieces idealized constitutive models are formulated, which exhibit elastic, plastic and viscoelastic behaviour. The difference between statically determinate and indeterminate problems are discussed with respect to the solution methodology, and the need for deformation conditions at statically indeterminate problems is paid attention. Elementary stability theory for axially compressed struts is discussed, and design with respect to the Eulerian elementary cases is treated.
Code: 0219. Name: Solid Mechanics, Basic Course II.
Credits: 7.5. Grading scale: UG - (U, G). Assessment: See the description in the beginning. The module includes: The uniaxial concepts from AKI are first generalized, i.e. the general elastic boundary value problem is formulated (this comprises the generalized stress and strain state, Hooke's generalized law, the general equilibrium equations and the corresponding boundary conditions). As examples of solution or the general elastic boundary value problem, torsion of beams with non-circular cross-section and the response of axisymmetric discs are treated. Then the theory of strain gauges is given and the practical application is illustrated in a laboratory task. As design criteria for structural and mechanical components, yield criteria, fracture mechanics and fatigue are considered. Then a systematic matrix approach for analysis of truss structures is given and the principle of virtual work is introduced. Finally, an introduction to the dynamic response of simple structures is given.
Code: 0319. Name: Assignment AK1.
Credits: 0.0. Grading scale: UG - (U, G). Assessment: Written report. The module includes: Mandatory hand-in assignment in course part AK1
Code: 0419. Name: Assignment 1 AK2.
Credits: 0.0. Grading scale: UG - (U, G). Assessment: Written report. The module includes: Mandatory hand-in assignment (1 of 2) in course part AK1
Code: 0519. Name: Assignment 2 AK2.
Credits: 0.0. Grading scale: UG - (U, G). Assessment: Written report. The module includes: Mandatory hand-in assignment (2 of 2) in course part AK1
Code: 0619. Name: Lab AK1 .
Credits: 0.0. Grading scale: UG - (U, G). Assessment: Lab completed following provided instructions. The module includes: Mandatory lab in course part AK1.
Code: 0719. Name: Lab AK2.
Credits: 0.0. Grading scale: UG - (U, G). Assessment: Lab completed following provided instructions. The module includes: Mandatory lab in course part AK2.

Admission

Assumed prior knowledge: FMAB30 Calculus in Several Variables, FMEA30 Engineering Mechanics.
The number of participants is limited to: No
Kursen överlappar följande kurser: FHLA05 FHLA01 FHLA10

Reading list

Contact

Course coordinator: Håkan Hallberg, hakan.hallberg@solid.lth.se
Course homepage: https://www.solid.lth.se