Strength of materials 2 (3cr)

Evaluation scale

1-5

Objective

Upon completion of the course, the student will be able to:
- explain the principles of multiaxial stress and strain states in linear elasticity theory
- use the general form of Hooke’s law to relate stress and strain states
- calculate stresses and strains using linear elasticity models
- apply strength hypotheses in design and analysis tasks
- explain the fundamentals of fatigue and solve basic fatigue strength problems using S–N curves and the Haigh diagram
- solve basic strength and fatigue problems related to machine element design

Content

- ultiaxial stress state
- Multiaxial strain state
- Relationship between stress and strain (general Hooke’s law)
- Strength hypotheses (von Mises)
- Fatigue phenomena and S–N curves
- Basic fatigue strength calculations (Goodman, Haigh)
- Fundamental design calculations for machine elements using linear elasticity theory

Materials

Lecture material
Additional reading (examples):
in Finnish: Karhunen ym.: Lujuusoppi
in English: Parnes: Solid mechanics in engineering. Wiley.

Teaching methods

Lectures
Assignments
Self-study

Student workload

Lectures ca. 30 hr
Assignments and self-study

Assessment criteria, satisfactory (1)

The student recognises the basic concepts of multiaxial stress and strain, uses fundamental linear elasticity formulas and solves simple calculation tasks with guidance.

Assessment criteria, good (3)

The student explains the stress–strain relationship, applies the von Mises criterion and independently solves common strength and fatigue problems, including basic use of the Haigh diagram.

Assessment criteria, excellent (5)

The student analyses multiaxial stress states, justifies the use of the von Mises criterion and solves more demanding strength and fatigue problems using S–N methods and the Haigh diagram.

Qualifications

Statics
Strength of materials 1 or equivalent knowledge and skills