Course Details
Course Information Package
Course Unit Title | INDETERMINATE STRUCTURES | ||||||||
Course Unit Code | CES322 | ||||||||
Course Unit Details | |||||||||
Number of ECTS credits allocated | 5 | ||||||||
Learning Outcomes of the course unit | By the end of the course, the students should be able to:
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Mode of Delivery | Face-to-face | ||||||||
Prerequisites | CES212 | Co-requisites | NONE | ||||||
Recommended optional program components | NONE | ||||||||
Course Contents | Introduction: Define the term “Indeterminate structures” and differentiate between statically determinate and indeterminate structures. Determine the stability and determinacy of structures. Calculate the degree of indeterminacy and recognize the presence (if any) of geometrical instability. Also present the principle of superposition and its importance in the analysis of the indeterminate structures. Flexibility Method: Present the concepts of the flexibility method and show the methodology for its use. Define the base structure as well as the redundant structures and draw their deflected shapes. Write compatibility equations in terms of the redundant forces, based on the support conditions and structural configuration using the principle of superposition. Define the influence of the presence of the elastic supports and how these affect the compatibility equations. Solve the compatibility equations to obtain the redundants and then use for the complete analysis of the structure. Present the Maxwell's reciprocal theorem, the definition of the flexibility coefficient and formulate the flexibility method in matrix form. Slope Deflection Method: Present the concepts of the slope deflection method and identify the differences with the flexibility method. Show how to identify and sketch global degrees of freedom. Describe the methodology for the implementation of the slope deflection method. Develop the general slope deflection equations and also calculate the fixed end moments. Write equilibrium equations at joints and solve to calculate the global degrees of freedom. Based on the values of the degrees of freedom calculate element end moments, shears and eventually the reactions of the structure. Formulate the slope deflection y method in matrix form and emphasize on the importance of the displacement methods and their implementation in computer software. Moment Distribution: Present the historical importance of the moment distribution and the general concept of the load distribution/redistribution in individual members. Calculate the element stiffness factors, the joint stiffness factors, the distribution factors and also the fixed end moments. Setup a table for the implementation of the moment distribution for continuous beams and frames with no sway and use the table to calculate element end moments. Extent the method to include sway and calculate the sway related force. Define the role of the sway force and calculate relevant fixed end forces. Setup a similar table to the one for the continuous frames and use to calculate additional moments related to sway. Finally calculate total element end moments, shears and external support reactions. | ||||||||
Recommended and/or required reading: | |||||||||
Textbooks |
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References |
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Planned learning activities and teaching methods | The course will be presented through theoretical lectures in class. The lectures will present to the student the course content and allow for questions. Part of the material will be presented using visual aids. The aim is to familiarize the student with the different and faster pace of presentation and also allow the instructor to present related material (photographs etc.) that would otherwise be very difficult to do. The learning process will be enhanced with the requirement from the student to solve exercises. These include self evaluation exercises which will be solved in class. These exercises will not be graded. Exercises will also be given as homework (final project) which will be part of their assessment. Besides from the notes taken by students in class, all of the course material will be made available through the class website and also through the eLearning platform. Finally the instructor will be available to students during office hours or by appointment in order to provide any necessary tutoring. | ||||||||
Assessment methods and criteria |
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Language of instruction | English | ||||||||
Work placement(s) | NO |