CE 147 - 02 Finite Element Model

CE 147 - 02 Finite Element Model - Introduction to...

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1 Introduction to STRUCTURAL ANALYSIS USING STRUCTURAL ANALYSIS USING FINITE ELEMENT PROGRAMS Introduction Computer programs can simplify the analysis of complex structures The primary computer method of analysis uses “finite elements” Finite elements break down the structure into discrete (i.e. finite) elements Finite Element Model
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2 Introduction Finite elements can be used for static and dynamic analyses of many types of structures Finite Element Model Showing Dynamic Response (Mode 18) Introduction Finite elements can represent: Axial load elements (i.e. truss elements) Beam elements that resist moments, shear and axial loads (i.e. frame elements) Plate and shell elements (used to model continuous structures such as walls continuous structures such as walls)
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3 Introduction Finite elements analyses require that a geometrically correct model be built Constructing the correct model geometry requires that you be able to describe the structure in “space” Where are the: Beams? Columns? Walls? Introduction Describing the structure in space: Identify a coordinate system to capture the Identify a coordinate system to capture the structure’s size and geometry (i.e. nodes) Locate different structural elements with respect to that coordinate system Describe the physical properties of the structural elements Select appropriate “boundary conditions” to reflect how the structural elements are connected
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4 Nodes A node is a point in space described by a “global” coordinate system (Cartesian coordinates) Modern finite elements programs may not require that you explicitly identify nodes (but the program certainly will do so) (0,15) (15,15) 2 3 (0,0) (15,0) 1 4 x y Nodal coordinates (in feet or inches) Node Finite Elements A finite element is a small model of a structural component (e.g. the beams and columns in a frame) A finite elements connects at least two nodes 2 Finite element: beam 1 3 Finite element: column Element ID Finite Element Model of a Frame
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5 Finite Elements Physical properties of finite elements include: Area Moment of intertia Young’s Modulus Shear and torsional parameters 2 Finite element: beam 1 3 Finite element: column Element ID Finite Element Model of a Frame Finite Element Model The complete model combines the nodes and the finite elements (0,15) (15,15) 2 Finite element 2 3 Node ID (0,0) (15,0) Node 1 4 Element ID
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This note was uploaded on 01/14/2010 for the course CEE 147 taught by Professor Sabol during the Winter '09 term at UCLA.

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CE 147 - 02 Finite Element Model - Introduction to...

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