| Topic |
Sub-topic |
| 1. Review of Statics |
1.1. Vectors. Moment of a force
1.2. Static equilibrium. Equations. Elements subjected to 2 or 3 forces
1.3. Distributed forces and centroids
1.4. Reduction of a system of forces to a force-torque moment
1.5. Moments and products of inertia |
| 2. Basic concepts of elasticity and strength of materials |
2.1. Elastic solid, rigid solid and real solid
2.2. Stresses and strains
2.3. Elastic equilibrium
2.4. Prismatic beam. Stress resultants. Intrinsic components of the stress
2.5. Types of supports. Reactions in the unions
2.6. Isostatic and hyperstatic systems
2.7. Stress-strain diagrams
2.8. Permissible tension. Factor of safety
2.9. Basic principles of Strength of materials |
| 3. Tension-compression |
3.1. Uniaxial tension-compression. Normal force and stress state
3.2. Tensile strains
3.3. Influence of the own weight. Solid of equal resistance
3.4. Hyperstatic tension-compression
3.5. Uniaxial tension-compression produced by thermal stress or assembly misfits |
| 4. Foundations of shear |
4.1. Pure shear. Elementary theory of shear
4.2. Strains produced by pure shar. Transverse modulus of elasticity
4.3. Relationships between elastic module, transverse modulus of elasticity and Poisson's ratio |
| 5. Bending: Analysis of stresses |
5.1. Beams: Definition and classes. Strengths applied to beams
5.2. Normal force, shear strength and beding moment
5.3. Relationships between shear strength, beding moment and loading. Diagrams of shear strengths and beding moments
5.4. Types of bending. Hypothesis and limitations. Non-uniform bending and unsymmetric sections
5.5. Pure bending. Law of Navier
5.6. Resistant module. Optimum sections |
| 6. Bending: Analysis of strain |
6.1. Strains: deflections and slopes. Bending moment-curvature relationship
6.2. Equation of the elastic curve
6.3. Mohr's theorems. Conjugate beam |
| 7. Hyperstatic bending |
7.1. Straight hyperstatic beams. General calculation method
7.2. Application to particular cases |
| 8. Foundations of compressive buckling |
8.1. Introduction and definition
8.2. Compression centred in a slim column. Critical load of Euler. Buckiling length
8.3. Eccentric compression in a slim column.
8.4. Limits of application of the Euler's Theory. Buckling chart
8.5. Calculation methods of buckling |
| Laboratory 1. Tensile Test |
This practical exercise aims to familiarize the student with tensile testing and the regulations that describe it. |
| Laboratory 2. 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 3. Shear Test |
This practical exercise aims to familiarize the student with shear tests and the regulations that describe them. |
| Laboratory 4. 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 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. |
| Laboratory 6. Software Practice |
This practical exercise aims to familiarize the student with calculating normal stresses, tensions, and deformations in different scenarios using structural analysis software. |
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