Universitat Politècnica de Catalunya · BarcelonaTech

Rational Mechanics (250108) – Course 2021/22 PDF

Syllabus

Learning Objectives

Students will acquire advanced knowledge of general mechanical laws, in particular statics, dynamics and kinematics, and learn how they can be used to solve engineering problems. On completion of the course, students will have acquired the ability to: 1. Solve kinematic problems of material points and solids; 2. Apply the conservation of mass, momentum and energy equations to material points and solids; 3. Apply mechanical concepts (kinematics, statics and dynamics) to the calculation of basic structures. Vector algebra, including systems of sliding vectors; Kinematics of material points, trajectories, velocity and acceleration; Newton's laws in inertial and non-inertial systems; Dimensional analysis; Reference systems; Kinematics of solids; Linear and angular momentum; Conservation of momentum; Energy, work and power; Conservation of energy and its application to systems of particles and variable mass systems; Particle, solid and fluid statics; Stress; Equilibrium of solids: Isostatic and hyperstatic problems; Structural statics, including moments of inertia and centres of mass; Three-dimensional solid dynamics

Competencies

Especific

Predictive capacity in civil engineering problems of the concepts of the general laws of mechanics and thermodynamics, fields and waves and electromagnetism .

Capacity for modelling and analytical and computational prediction of the mechanical behaviour of systems.

Transversal

SUSTAINABILITY AND SOCIAL COMMITMENT - Level 1. Analyzing the world¿s situation critically and systemically, while taking an interdisciplinary approach to sustainability and adhering to the principles of sustainable human development. Recognizing the social and environmental implications of a particular professional activity.

EFFICIENT ORAL AND WRITTEN COMMUNICATION - Level 1. Planning oral communication, answering questions properly and writing straightforward texts that are spelt correctly and are grammatically coherent.

EFFECTIVE USE OF INFORMATI0N RESOURCES - Level 2. Designing and executing a good strategy for advanced searches using specialized information resources, once the various parts of an academic document have been identified and bibliographical references provided. Choosing suitable information based on its relevance and quality.

SELF-DIRECTED LEARNING - Level 2: Completing set tasks based on the guidelines set by lecturers. Devoting the time needed to complete each task, including personal contributions and expanding on the recommended information sources.

Total hours of student work

Hours Percentage
Supervised Learning Large group 30h 36.36 %
Medium group 30h 36.36 %
Laboratory classes 15h 18.18 %
Guided Activities 7.5h 9.09 %
Self Study 105h

Teaching Methodology

The course consists of: a) Theoretical lectures. The lecturer exposes the basic concepts and tools, presents examples and solve some exercises. b) Practical lectures. They are devoted to solving problems with a greater interaction with students. The problems to be solved are previously announced. c) Lectures in a small group. Of two kinds: i) lab experiments and ii) workshops on solving exercises where a very active participation of students is requiered. d) Exams and tests. See evaluation method. There are 3 hours a week of theoretical lectures and 2 hours weekly of practical lessons. These lectures will be distributed according to the time schedule of each group. The lectures in a small group and the exams will be performed during 'grey hours' of the academic time schedule.

Grading Rules

The evaluation calendar and grading rules will be approved before the start of the course.

The grading of all groups is based on the following tests distributed during the quadrimester: PR: global mark of the tests done during the classes time, P1: problems exam (2-3 hours), P2: problems exam (2-3 hours), and the grades of the reports of two laboratory classes, L1, L2. None of the tests relieves the student from being asked again about the same topic. final grade = 0.20*PR + 0.35*(P1+P2) + 0.05*(L1+L2) Maximum for all grades = 10. Criteria for re-evaluation qualification and eligibility: Students that failed the ordinary evaluation and have regularly attended all evaluation tests will have the opportunity of carrying out a re-evaluation test during the period specified in the academic calendar. Students who have already passed the test or were qualified as non-attending will not be admitted to the re-evaluation test. The maximum mark for the re-evaluation exam will be five over ten (5.0). The non-attendance of a student to the re-evaluation test, in the date specified will not grant access to further re-evaluation tests. Students unable to attend any of the continuous assessment tests due to certifiable force majeure will be ensured extraordinary evaluation periods. These tests must be authorized by the corresponding Head of Studies, at the request of the professor responsible for the course, and will be carried out within the corresponding academic period.

Test Rules

Not taking a scheduled exam, without documented justification, implies a cero mark. The reports of the laboratory experiments will only be considered if the student attends the corresponding laboratory session.

Office Hours

Physics Department, Campus Nord UPC, B5 building. * Albert Falqués: room 103. Monday, 14:00-15:00; wednesday, 11:00 to 13:00; and to be arranged. * Joan Sánchez Umbría: room 105. Monday, 15:00-18:00 and to be arranged.

Bibliography

Basic

Complementary