Theory of Structures 2 Introduction to Theory of Structures Prepared by: Engr. Trisha D. Faustino TOPICS • Definition of Terms • Phases of a Typical Structural Engineering Project • Statically Determinate Structure Vs. Statically Indeterminate Structure Definition of Terms Structure A structure refers to a system of connected parts used to support a load. It is defined as an assembly of different members connected to each other which transfers and transmits loads to the ground. Structural Analysis It is the prediction of the performance of a given structure under prescribed loads and/or other external effects, such as support movements and temperature changes.(Kassimali 2011) Structural Engineering It is the science and art of planning , designing and constructing safe and economical structures that will serve their intended purposes. Phases of a Typical Structural Engineering Project Phases of a Typical Structural Engineering Project 1. Planning Phase 2. Preliminary Structural Design • Involves the establishment of the functional requirements of the proposed project, layout and dimensions of the structure, choosing of the intended type of structure for the specific purpose and consideration of materials to be used. • It is in this stage where sizes and dimensions of components and members are estimated based on the approximate analysis done in accordance to code. Phases of a Typical Structural Engineering Project 3. Estimation of Loads 4. Structural Analysis • • It is in the application of the estimated loads to determine the stresses on members and deflection at various points of the structure. Determination of all possible loads that are expected to act on the structure. Phases of a Typical Structural Engineering Project 5. Safety and Serviceability Checks • The results of the analysis are thoroughly check to determine whether or not the structure will comply and satisfy the safety and serviceability provisions of the design codes. 6. Revised Structural Design • If the code are not satisfied, the needs of revision in the design is mandatory. The member sizes are re-evaluated and phases 3 through 5 are repeated until it complies. 7. Construction Phase Determinacy of Structures Determinacy of Structures Determinacy of Structures STATICALLY DETERMINATE • X-Y Coordinate System (2D/Plane) • X—Z Coordinate System (3D/Space) Determinacy of Structures DETERMINACY and STABILITY of BEAMS and FRAMES A stable structure remains stable for any imaginable system of loads. Considered externally determinate if the total number of reaction is equal to the equations of equilibrium available. Determinacy of Structures DETERMINACY and STABILITY of BEAMS and FRAMES Determinacy of Structures DETERMINACY and STABILITY of TRUSSES Internal determinacy is a type of indeterminacy that is associated to trusses. The basic form of the truss is a triangle. To make the truss, add two members and one joint , and repeat. Determinacy of Structures DETERMINACY and STABILITY of TRUSSES Any questions? Thank you!