Educational guide | ||||||||||||||||||||||||||||||||||||||||
IDENTIFYING DATA | 2024_25 | |||||||||||||||||||||||||||||||||||||||
Subject | Strength of Materials | Code | 00707011 | |||||||||||||||||||||||||||||||||||||
Study programme |
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Descriptors | Credit. | Type | Year | Period | ||||||||||||||||||||||||||||||||||||
6 | Compulsory | Second | First |
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Language |
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Prerequisites | ||||||||||||||||||||||||||||||||||||||||
Department | TECN.MINERA,TOPOGRAF. Y ESTRUC |
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Coordinador |
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jcifr@unileon.es jvale@unileon.es |
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Lecturers |
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Web | http:// | |||||||||||||||||||||||||||||||||||||||
General description | ||||||||||||||||||||||||||||||||||||||||
Tribunales de Revisión |
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Competencias |
Code | |
A18648 | |
B5655 | |
B5656 | |
B5664 | |
B5665 | |
B5667 | |
C2 | CMECES2 That students know how to apply their knowledge to their work or vocation in a professional manner and possess the skills that are usually demonstrated through the development and defense of arguments and the resolution of problems within their area of study. |
C3 | CMECES3 That students have the ability to gather and interpret relevant data (normally within their area of study) to make judgments that include reflection on relevant issues of a social, scientific or ethical nature. |
C4 | CMECES4 That students can transmit information, ideas, problems and solutions to both a specialised and non-specialised audience |
C5 | CMECES5 That students have developed those learning skills necessary to undertake further studies with a high degree of autonomy |
Learning aims |
Competences | |||
Apply your knowledge to your work in a professional manner and possess the competencies typically demonstrated through the development and defense of arguments and problem-solving within the field of Strength of Materials. | C2 |
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Communicate information, ideas, problems, and solutions to both specialized and non-specialized audiences. | C4 |
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Having developed the necessary learning skills to undertake further studies with a high degree of autonomy. | C5 |
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Knowledge and application of the principles of Strength of Materials. | A18648 |
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Acquire the ability to analyze and solve problems. | B5656 B5664 |
C2 |
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Develop the ability for independent learning. | B5667 |
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Develop the ability to interpret results. | B5665 |
C3 |
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Acquire knowledge in Strength of Materials, enabling them to learn new methods and theories, and providing them with versatility to adapt to new structural calculation situations. | A18648 |
B5655 |
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Develop the ability to solve problems with initiative, critical reasoning, and to transmit knowledge in the field of Industrial Engineering. | B5665 |
Contents |
Topic | Sub-topic |
BLOCK I. STRESSES AND STRAINS | Topic 1: INTRODUCTION 1.1 Introduction to Strength of Materials 1.2 The elastic solid and its properties 1.3 Stress-strain relationship 1.4 Basic hypotheses 1.5 Bars. Modeling 1.6 Supports 1.7 Loads 1.8 Joints Topic 2: CONCEPT OF STRESS AND STRAIN 2.1 Concept of stress 2.2 Intrinsic components 2.3 Stresses and tensions. Internal equilibrium 2.4 Movements and deformations. Compatibility 2.5 Stresses and strains. Behavior 2.6 General approach Topic 3: ONE-DIMENSIONAL MODEL (Straight bars) 3.1 Static equilibrium 3.2 Isostatism and hyperstatics 3.3 Elastic equilibrium. Method of sections 3.4 Stress laws 3.5 Problems Topic 4: AXIAL FORCE 4.1 Stresses 4.2 Deformations 4.3 Articulated structures Topic 5: BENDING MOMENT 5.1 Mass geometry 5.2 Stresses 5.3 Deformations Topic 6: COMPOSITE BENDING 6.1 Stresses 6.2 Central core. Eccentric compression Topic 7: SHEAR FORCE 7.1 Introduction 7.2 Stresses Topic 8: TORSIONAL MOMENT 8.1 Introduction 8.2 Types of sections 8.3 Stresses in circular sections 8.4 Deformations in circular sections |
BLOCK II - ELASTICITY | Topic 9: INTRODUCTION TO LINEAR ELASTICITY. Stress tensor, strain tensor, generalized behavior laws in three-dimensional solids. |
Planning |
Methodologies :: Tests | |||||||||
Class hours | Hours outside the classroom | Total hours | |||||||
Problem solving, classroom exercises | 18 | 27 | 45 | ||||||
Tutorship of group | 6 | 9 | 15 | ||||||
Lecture | 30 | 45 | 75 | ||||||
Mixed tests | 6 | 9 | 15 | ||||||
(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students. |
Methodologies |
Description | |
Problem solving, classroom exercises | The professor will guide the students in applying theoretical concepts and results to problem-solving, fostering critical reasoning at all times. Exercises will be proposed for students to solve, thus acquiring proficiency in using the necessary tools for problem-solving. |
Tutorship of group | Practical and theoretical problems will be presented for both students and the teacher to solve together. The objective is to guide the student in their learning journey to become an autonomous, competent, and critical learner in their workplace. |
Lecture | Theoretical classes where the theoretical foundations of the subject will be presented, reasoned, and deduced. At the end of each section, simple exercises clarifying the explained theory will be solved. |
Personalized attention |
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Assessment |
Description | Qualification | ||
Mixed tests | There will be three types of written assessments: 1. Final exam covering the entire subject. 2. Midterm exam. 3. Individual/s Assignment/s |
1: 70 % 2: 20 % 3: 10 % |
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Other comments and second call | |||
To pass the subject, a minimum score of 3.5 out of 10 must be obtained on test 1. The subject is passed if the total score (1+2+3) is equal to or greater than 5 points. In the second examination period, the results of the tests taken throughout the semester are valid. There will be a final exam that will vary between: 70% if tests 2 and 3 have been taken. 100% if tests 2 and 3 have not been taken. |
Sources of information |
Access to Recommended Bibliography in the Catalog ULE |
Basic |
CANET, J.M., Cálculo de Estructuras.Tomo 1., Edicions UPC, 2000 VÁZQUEZ, M, Resistencia de Materiales, Noela, 1999 ORTIZ BERROCAL, L, Resistencia de Materiales, McGraw-Hill, 2002 GARRIDO, J.A. y FOCES, A., Resistencia de Materiales, Universidad de Valladolid, 1999 TIMOSHENKO, S., Resistencia de materiales, Espasa Calpe, 1982 |
- VÁZQUEZ, M., Resistencia de Materiales, Editorial Noela, (Cuarta edición, 1999) An excellent textbook by the Professor of the subject at the School of Civil Engineering, which is not only aimed at his students but has a broader intention and is very interesting for other students or professionals. The first part of the book constitutes a summary of Elasticity Theory, essential for a rigorous study of Strength of Materials, and it studies the stresses and strains that the applied forces cause inside an elastic body. The second part practically covers all the topics of the program (axial, shear, bending, and torsional stresses, both in statically determinate and indeterminate cases, instability phenomena, and energy theorems). This very didactic work has a large number of solved and proposed problems with the numerical solution to many of them, as well as many good figures that illustrate all the topics developed. - ORTIZ BERROCAL, L., Resistencia de Materiales, Madrid, McGraw-Hill, (2002 – 2ª edición) An analysis is carried out of the stress and strain states produced by the solicitations, as well as the relationships between them. Subsequently, the general formulation of the elastic problem is addressed, in its two formulations, to move on to the study of two-dimensional elasticity in Cartesian, cylindrical, and polar coordinates. Finally, the topics of internal potential, plasticity theories, and the theoretical approach of experimental methods (strain gauges and optical) are treated extensively and at an appropriate level. - CANET, J.M., Cálculo de Estructuras, Edicions UPC (2000); Tomo 1. Basic book for Strength of Materials. A highly interesting book for the student due to its clear development. It is a work consisting of two volumes. Both have content adapted to the level of an engineering school. The first volume sets out the fundamentals of Strength of Materials and Structural Calculus, as well as a study of the stresses derived from external loading. Most chapters include a series of proposed exercises. For each of them, a control value is indicated to check if the exercise resolution has been correct. This very didactic work has many good figures illustrating all the topics developed. - GARRIDO, J.A. y FOCES, A., Resistencia de Materiales, Universidad de Valladolid, (1999) An excellent book for the study of Strength of Materials. The one-dimensional model of bars is extensively developed in a clear and concise manner, and the calculation of stresses in the section is explained, maintaining parallelism and connection between Strength of Materials and Elasticity throughout. Recommended to students for its precision in stress calculation, although some topics covered are beyond the scope of the course, such as the introduction to the Direct Stiffness Method or Torsion in buckling problems. In all topics, there are examples to clarify the preceding theoretical development. The combined treatment given in the study of tension (compression)-bending follows a development from general to specific, which, although initially more complex, ultimately provides an advantage in terms of clarity of ideas. - TIMOSHENKO, S., Resistencia de materiales, Espasa Calpe, S.A. Madrid, (1982) This work consists of two volumes. The first of them has content adapted to the level of an engineering school. |
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Complementary |
FERNÁNDEZ DÍAZ-MUNIO, R, Breviario de Elasticidad, E.T.S. de Ingenieros de Caminos, Canales y Puertos de Madrid, 1996 ARGÜELLES ÁLVAREZ, R, Cálculo de Estructuras, E.T.S.I. Montes de Madrid, 1981 ORTIZ BERROCAL, L, Elasticidad, Universidad Politécnica de Madrid, 1985 |
- ORTIZ BERROCAL, L., Elasticidad ,Universidad Politécnica de Madrid, (1985) An analysis is carried out of the stress and strain states produced by the solicitations, as well as the relationships between them. Subsequently, the general formulation of the elastic problem is addressed, in its two formulations, to move on to the study of two-dimensional elasticity in Cartesian, cylindrical, and polar coordinates. Finally, the topics of internal potential, plasticity theories, and the theoretical approach of experimental methods (strain gauges and optical) are treated extensively and at an appropriate level. - FERNÁNDEZ DÍAZ-MUNIO, R., Breviario de Elasticidad, E.T.S. de Ingenieros de Caminos, Canales y Puertos de Madrid, (1996) A book of mandatory recommendation for anyone wishing to undertake an initial study of Elasticity Theory without getting bored. It explains in a relaxed tone the fundamental concepts and approaches to solving elastic problems. Although the course does not delve deeply into many aspects of Elasticity Theory, this reference is recommended reading for the clarity of ideas it can provide, especially regarding the paths to solving elastic problems. - ARGÜELLES ÁLVAREZ, R., Cálculo de Estructuras, E.T.S.I. Montes de Madrid, (1981) This work is structured into two volumes, with the first dedicated to Elasticity, Strength of Materials, and Structural Calculus; and the second to special topics. In turn, the first volume can be divided into a section dedicated to Elasticity, and a second one on Strength of Materials and Structural Calculus that is perfectly suitable for seminars, specific assignments, or for consulting on special topics within this subject. As advantages of the book, we can highlight its comprehensive theoretical treatment and the fact that it's written by an author with several texts on these subjects, providing a global perspective. However, as drawbacks, it requires high mathematical knowledge for theoretical exposition, and sometimes its generality can obscure the physical sense. |
Recommendations |
Subjects that it is recommended to have taken before | ||||
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