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Structural mechanics B04384
Program content:
Statically determined bar systems - internal forces, influence lines. Static analysis of indeterminate structures - Force Method, Direct Displacement Method, Moment Distribution Method. Influence lines of reactions, internal forces and displacements in indeterminate structures. Stability of bar systems. Determination of critical loads. Second Order theory. Dynamics of bar systems with finite degrees of freedom.
Learning outcomes:
Student identifies and describes the work of bar structures, behavior of construction in the range of static, dynamics and stability, solves simple and more complex bar structures using Force Method or Direct Displacement Method, applies influence lines to determine internal forces, support reactions and displacements in statically determinate and indeterminate systems.
(in Polish) Rodzaj przedmiotu
Course coordinators
Learning outcomes
EK1 identifies and describes the work of bar structures (K_W05)
EK2 identifies and describes behavior of the structure in range of statics, dynamics and stability (K_W06, K_U12)
EK3 solves simple and more complex bar structures using the Force Method (K_U10, K_U11)
EK4 solves simple and more complex bar structures using the Direct Displacement Method (K_U10, K_U11)
EK5 uses influence lines to determine internal forces, support reactions and displacements in determinate and indeterminate structures (K_U11)
EK6 justifies the presented solution of the calculated design project (K_K01, K_K07)
Assessment criteria
EXAM:
Reaching a positive mark of auditory classes and designing project is a prerequisite for admission to the examination.
The examination consists of two written parts: the exercises and the theory.
Exercises:
- to solve 2 of 3 tasks presented to choose, each task can earn up to 30 points, it is up to 60 points.
Theory:
- consists of 4 questions from 36 questions and 1 from 8 questions, 8 points for each question - up to a total of 40 points. No proper answer to the last question (1 from 8) results in failing the exam.
The requirement to pass the exam is to score more than 50% points of the exam or more than 50% of possible points of the exam and the bonus points together.
Bonus points
This is the sum of the points obtained from the auditory classes (multiplied by the correction factor 1.4) and the sum of the points obtained from the designing project (multiplied by the correction factor 0.6).
Bonus points are added to points earned during the exam. The total score determines the final grade, according to the score below.
Bonus points cannot be obtained by a person who:
- they passed the auditory classes on colloquium # 5,
- they had in total more than 3 absences (justified and unjustified);
- they gave any project after the deadline,
- they received from the project less than 30,0pkt.
Passing the exam without bonus points:
Rating 5.0 - (90.5-100.0pts)
Rating 4.5 - (80.5-90.0pts)
Rating 4.0 - (70.5-80.0pts)
Rating 3.5 - (60.5-70.0pts)
Rating 3.0 - (50.5-60.0pts)
Passing the exam with bonus points:
* Only exercises and bonus points
Rating 5.0 - (145.1-160.0pts)
Rating 4.5 - (130.1-145.0pts)
Rating 4.0 - (115.1-130.0pts)
Rating 3.5 - (100.1-115.0pts)
* Exercises, theory and bonus points
Rating 5.0 - (180.1-200.0pts)
Rating 4.5 - (160.1-180.0pts)
Rating 4.0 - (140.1-160.0pts)
Rating 3.5 - (120.1-140.0pts)
Rating 3.0 - (100.1-120.0pts)
AUDITORY CLASSES
Writing four colloquia and earning adequate number of points are the requirements to pass the auditory classes.
During the colloquium can be obtained respectively:
Colloquium # 1 - 12 pts
Colloquium # 2 - 14 pts
Colloquium # 3 - 13 pts
Colloquium #4 - 11 pts
The final score is based on the number of earned points:
Rating 5.0 - (45.5-50.0pts)
Rating 4.5 - (40.5-45.0pts)
Rating 4.0 - (35.5-40.0pts)
Rating 3.5 - (30.5-35.0pts)
Rating 3.0 - (25.5-30.0pts)
Dates of individual colloquia (depending on the group):
Colloquium # 1: (4 week of semester)
Colloquium # 2: (8 week of semester)
Colloquium # 3: (11 week of semester)
Colloquium # 4: (14 week of semester)
Each colloquium can only be corrected once. Declaration of improvement is binding. To calculate the final number of points from the auditory classes, the points obtained from the improvement are taken into account, while for persons have abandoned the improvement, points are taken from the basic approach.
Dates of improvement colloquia (depending on the group):
Colloquium # 1: (6 week of semester).
Colloquium # 2: (10 week of semester)
Colloquium # 3: (13 week of semester)
Colloquium # 4: (15 week of semester)
Colloquium # 5: (last day of semester) *
*) An additional colloquium consisting of 4 exercises (one from each previous colloquia) write declared persons who received from 15 to 25 points.
DESIGNING PROJECT
Performing four projects, obtain the required number of points and defend the projects are the requirements to pass the designing projects.
Completion of designing project takes place during the last classes in the semester.
The points can be reached respectively:
- work during classes (2-13 weeks) - 1.5pts (maximum 18.0pts),
- projects (project # 1 / # 2 / # 3A / # 3B) - 8.0pts (maximum 32.0pts).
The maximum final rating depends on the number of points reached and on the defense of completed projects:
Rating 5.0 - (47.5-5.00pts)
Rating 4.5 - (43.0-47.0pts)
Rating 4.0 - (38.0-42.5pts)
Rating 3.5 - (33.0-37.5pts)
Rating 3.0 - (30.0-32.5pts)
The final grade may be lower than the score obtained if the students are not able to demonstrate satisfactorily the issues involved in the project.
The teacher may exempt a student from defending a project if he or she has obtained 6 or more points from the appropriate colloquium.
Points for work in classes can be earned only by taking part in the classes, each absence causes the loss of the scores. Classes can be made up with another group (with any teacher in agreement with the teacher who provide the project).
Deadlines for giving individual projects back:
Project # 1: beginning of 5th classes
Project # 2: beginning of 9th classes
Project # 3 part A: beginning of 12th classes
Project # 3part B: end of 14th classes
In the case of giving any project after the specified deadline or obtaining fewer points than 30.0, the student obtains the final grade only on the basis of the defense of the completed projects, which demonstrates the ability to solve tasks with a difficulty level not higher than those performed in the defense projects.
Bibliography
a) main:
-Dyląg Z., Krzemińska-Niemiec E., Filip F.: Mechanika budowli t.1. PWN, Warszawa 1989.
-Krętowska J. Baszeń M.: Mechanika budowli w przykładach: Płaskie układy prętowe z nadliczbowymi więzami; Metoda sił. Wydawnictwo Politechniki Białostockiej 2008.
-Dyląg Z. Krętowska J.: Mechanika budowli w przykładach: Płaskie układy prętowe z nadliczbowymi więzami; Metoda przemieszczeń; Metoda Crossa. Wydawnictwo Politechniki Białostockiej, Białystok 2008.
b) additional:
-Praca zbiorowa: Mechanika budowli z elementami ujęcia komputerowego (t.I + t.II). Arkady, Warszawa 1984.
-Cywiński Z.: Mechanika budowli w zadaniach, t.1: Układy statycznie wyznaczalne; t.2: Podstawy układów statycznie niewyznaczalnych. PWN, Warszawa-Poznań, 1976.
-Rakowski J.: Mechanika budowli - zadania, cz.I, Wydawnictwo Politechniki Poznańskiej, Poznań 2007.
-Carpintieri A.: Structural mechanics: a unified approach. Taylor & Francis, Milton Park, Abingdon, Oxon 1997 (digital version 2006).