| Topic |
Sub-topic |
| Topic 1. Statics |
- Concept of an elastic solid
- Moment of a force
- Static equilibrium. Equations
- Moments and products of inertia
- Static equilibrium and elastic equilibrium
- Stresses on a section in elastic regime |
| Topic 2. Basic Concepts of Strength of Materials |
- Object and purpose of strength of materials
- Stresses and strains
- Principle of relative stiffness and superposition
- Elastic equilibrium
- Reactions at supports. Types of supports
- Isostatic and hyperstatic systems |
| Topic 3. Stress State and Failure |
- Stress state. Stress matrix. Mohr's circle. Principal planes
- Failure criteria. Limit state. Ductile material. Brittle material
- Safety factor
|
| Topic 4. Tension-Compression |
- Stress and normal stress
- Deformations. Poisson's ratio. Generalized Hooke's law
- Statically determinate problems
- Hyperstatic problems
- Uniaxial tension or compression due to thermal variations |
| Topic 5. Fundamentals of Buckling |
- Definition
- Critical load. Euler's formulation
- Section modulus
- Limits of application of Euler's formulation |
| Topic 6. Shear |
- Shear stress and normal stress
- Shear deformations
- Shear modulus
- Relationships between elastic modulus, shear modulus, and Poisson's ratio |
| Topic 7. Bending and Shear |
- Beams. Deformation and classes. Applied forces on beams
- Types of bending. Assumptions and limitations
- Shear stress and bending moment. Diagrams and relationships
- Normal stresses. Navier's law
- Concept of section modulus. Optimal sections
- Analysis of deformations: rotations and deflections. Moment-curvature relationship. Elastic curve equation. Theorems for deformation calculations
- Hyperstatic vending
|
| Laboratory 1. Tensile Test |
This practical exercise aims to familiarize the student with tensile testing and the regulations that describe it. |
| Laboratory 2. Bending Test |
This practical exercise aims to familiarize the student with bending tests and the regulations that describe them. Analyze different configurations: simply supported beam, hinged beam, and cantilever beam. Calculate the bending moment and deflection associated with each of them. |
| Laboratory 3. Compression Test |
This practical exercise aims to familiarize the student with compression tests and the regulations that describe them. Perform tests on prototypes with different slenderness ratios and calculate the critical force. The gripping method should be the same for all specimens, resulting in a sudden change in cross-section. The normal stress diagram will also be calculated. |
| Laboratory 4. Shear Test |
This practical exercise aims to familiarize the student with shear tests and the regulations that describe them. |
| Laboratory 5. Modulus of Elasticity and Other Elastoplastic Constants |
This practical exercise focuses on the calculation of the experimental modulus of elasticity. The student will use data collected in previous laboratory sessions. The relationship between the elastic modulus and stresses in each test performed will be reviewed. |
| Laboratories 6 and 7. Software Practice |
This practical exercise aims to familiarize the student with calculating normal stresses, tensions, and deformations in different scenarios using structural analysis software. |
