2D Frame Analysis Static and dynamic analysis of frames and trusses v2.0 User manual April 2008 GENERAL Thank you for using Engissol products. Our R&D department which constitutes of experienced engineers and programmers can assure you that you will be provided with a finite element application of high standards and guaranteed accurate analysis results. Engissol’s know-how with respect to engineering application development is incomparable, a fact that is proven by thousands of satisfied end-users around the world. 2D Frame Analysis is a finite element application that can perform static and dynamic analysis of plane frames and trusses with any type of complexity. It uses the powerful and well-known analysis core “ENGISSOL – FEM Library” which has received many awards because of its flexibility in handling large-scale linear and non-linear arithmetic problems. 2D Frame Analysis is intentionally limited to linear static and dynamic analysis in order to cover the everyday engineering demand efficiently. It has been tested thoroughly to meet specific standards and is considered to be the best frame and truss analysis application at a very low price. Apart from this, at Engissol we are always looking for feedback on how to improve our products. You can contact us at [email protected] PROGRAM FEATURES The Frame Analysis application is available in 3 different packages (Static, Dynamic and Truss). Static Analysis version: Static analysis of all kind of frames Truss analysis version: Static analysis of all kind of trusses Dynamic analysis version: Static and dynamic analysis of all kind of frames and trusses Each licensed feature from the following is activated. Features in red are only available in the Dynamic Analysis version. A. Static Edition Features Analysis Use of highly flexible, general, finite element method Static and dynamic analysis of multi span beams, 2D trusses and 2D frames Modal analysis and eigenvalues estimation User controlled damping coefficient Mode superposition method in order to calculate the dynamic response Automatic creation of consistent mass matrix (Engissol’s patent) Multi-step dynamic analysis which is fully customized User controlled step and time parameters Definition of time-dependent loading on elements and nodes Unlimited number of Nodes and Beams 3 Degrees of freedom per Node, 6 per Beam Supports all major measure units All type of boundary conditions (fixed, rollers, etc.) Translational and rotational spring supports Initial displacement and speed conditions Extremely easy model creation, no need to first define nodes and then elements, nodes are produced automatically Consideration of thermal loads Pre-processing: Top quality graphics rendering Full GUI including zoom, pan, grid, snap options Every user action can be done graphically at real time Immediate switch to other measure units Easy model creation (members, loads, supports etc) in a user friendly environment with many graphical features Embedded library with major steel section shapes Definition of custom beam sections Embedded library with major materials (wood, steel, concrete) Definition of custom materials Easy and fast modification of the material properties End release option at specified degrees of freedom (all types of end releases are supported) Quick apply vertical and horizontal distributed loads on elements Application of time dependent loads at each time step graphically Post-processing: Calculation and drawing of the deformed shape of the given model Analytical view of the results of analysis, the geometry, the static model, the loads etc. Drawing of axial - shear force diagrams and bending moment diagram Scaling to above diagrams and the deformed model interactively Internal forces calculation at each location along the members Stress calculation at the top and bottom fiber along each member Graphic representation of every model parameter (internal forces, moments, displacements, rotations, reactions) vs. time Drawing axial - shear force and bending moment diagrams at each time step Drawing of deformed shape at each time step High quality analysis reports with all analysis results, including stress, internal forces and displacements diagrams, as well as drawings of the static model, its deformed shape and the axial-shear forces and moment diagrams Analysis report can be exported to pdf, rtf, xls and xml formats or it can be directly be printed All model data are exported to access database COORDINATE SYSTEMS Two coordinate systems are used by the program. The local one and the global one. The global system is the same for the whole model. The local system is defined by placing its x axis on the examined element pointing from the smaller to the greater edge node number. This convention is respected at every reference to local and global coordinate systems. Please note that the positive rotation convention is the counter clockwise coordinate systems. for both MENU DESCRIPTION Material tab You can define materials in this tab. Each material is defined by the following properties: a name the modulus of elasticity the specific weight (this value is used only during dynamic analysis in order to calculate the mass matrix) the thermal coefficient, which corresponds to the axial strain when a unary temperature change is applied to a specimen of this material Remember that the Default material cannot be deleted. By clicking the “From library” button, the following form is displayed which gives you the ability to insert a pre-defined material. Steel, concrete (all grades), wood (all grades) and custom material definition are supported. Section tab Sections are defined in this tab. The following properties are needed in order to define a section: a name the cross section area the moment of inertia (this inertia moment corresponds to an axis pointing into the screen) the section height, which is used during the calculation of the bending moments on the frame element due to temperature differences above and below it Remember that the Default section cannot be deleted. By clicking the “From library” button, the following form is displayed which gives you the ability to insert standard cross sections. Frame element tab In this tab, all needed data to define a frame element are given. Geometry page The geometry of both, starting and ending nodes, is given in this page. You can define a frame element by clicking on the “New” button, or you can insert it graphically by using the button of the program toolbar. Section page You can choose here the section of the frame element that you are about to define. Material page You can choose here the material of the frame element that you are about to define. Release page The end releases of the frame element are defined in this page. They all refer to the local coordinate system of the frame element. Loads page Distributed loads on the frame element are defined in this page. They refer to the local coordinate system of the frame element. Node tab As described, the nodes are generated automatically after the creation of each frame element. In this tab, the properties of the generated nodes are given as following: Coordinates: The coordinates of the node in the global coordinate system. Nodal loads: The loads applied to the node in the global coordinate system. Supports: The supports of the node. In case of springs, the full support option should be unchecked for the corresponding degree of freedom. The related spring constant box will then be enabled. You have to give then the constant of the matching spring (translational or rotational). Remember all these options refer to the global coordinate system. Initial displacements: The initial, if any, displacements (for degrees of freedom x,y) and rotation (for degree of freedom z) are given in this section. They are taken into account during the static and the dynamic analysis. Initial velocities for dynamic analysis: The initial, if any, velocities of the node are given in this section. They are used to define the initial conditions of the model during the dynamic analysis and they refer to the global coordinate system. Options tab In this tab, general program options are defined. Units page The measure units are defined here. You can select among a wide variety of units. The grid size is also defined here. Colors page From this page, drawing colors can be customized. Time steps page You can define here parameters that are used during the dynamic analysis, such as the time period and the time step number. These options affect only the dynamic analysis procedure. By setting the current time parameter, you can see your model (both loads and results) at the selected time. Dynamic preferences page The following dynamic preferences are defined in this page. They only affect the dynamic analysis procedure: Damping coefficient ksi: The damping coefficient that is applied to each mode as modal damping. (equal for all modes) Zero value means no damping. Ksi mainly depends on the material of the structure. Number of modes to find: The desired number of nodes to be found. Significant digits for eigenvalues: Decimal accuracy of the calculated eigenvalues. Max. iterations for a mode: Maximum number of iterations for the estimation of a mode. Max. iterations for mode searches: Maximum searching iteration number to estimate a mode. It is suggested not to change the last three parameters in order to avoid arithmetic and convergence problems during the dynamic analysis. Results tab In this tab, all analysis results regarding nodes and frame elements are presented. In case of dynamic analysis, these results refer to the times step selected at the Time steps page in the Options tab. Nodes page Nodal analysis results are presented in this section. For the selected node, the displacements (x, y) and rotation (z) are shown, as well as the reactions, if any. In case of spring supports, the corresponding spring reactions are shown. All these results refer to the global coordinate system of the model. Frame elements page Frame elements analysis results are presented in this section. For the selected frame element, the edge node displacements/rotation are shown, as well as the internal forces acting on the edge nodes of the element. While all displacements and rotations refer to the local coordinate system of the element, the internal forces are presented respecting the classic statics convention. By clicking on the Internal forces and stresses button, you can get the internal forces and stresses at locations along the element length. Internal forces and stresses along member By choosing the desired frame element and the distance from the starting node, you can get internal element forces (axial-shear forces and bending moment) at this location. Normal and shear stresses are also calculated at this location. Please note that internal forces are displayed in the local coordinate system of the element. Classic statics convention The internal forces are presented with respect to the following coordinate system which constitutes the classic statics convention: Main window description The main window of the application includes the following tab page collection. A comprehensive description of each tab page follows. Model tab The static model can very easily be created from this window. The toolbar on the left can help you during the drawing of the model interactively. A description of each toolbar button follows: Single selection Boxed selection Clear selection Pan Zoom extends Zoom in Zoom out Zoom window Draw an element Apply element load Apply nodal load Apply restraints (supports) Apply spring restraints (supports) Clear restraints (supports) Deformed tab The deformed shape of the model is displayed in this tab. Axial diagram tab The axial force diagram is displayed in this tab. Shear diagram tab The shear force diagram is displayed in this tab. Moment diagram tab The moment diagram is displayed in this tab. Modes tab The calculated mode shapes are displayed in this tab. By clicking the Next button, more mode shapes are displayed. The calculated period for each mode is also displayed. Status bar description The status bar includes the following controls: Draw grid Snap to grid Snap to nodes Draw element loads Draw nodal loads Draw supports Draw reactions Show selection only If selected, the grid is displayed If selected, the mouse snaps to the grid points If selected, the mouse snaps to all previously created nodes If selected, element loads are displayed If selected, nodal loads are displayed If selected, supports are displayed If selected, reactions are displayed If selected, only the selected elements are displayed Drawing a frame element 1. Click on the icon 2. Move the mouse over the grid and click on the desired starting point. 3. Click on the corresponding ending point. Please note that this could also be done from the Frame elements tab on the left program menu, under the Geometry page. Applying loads on a frame element 1. Click on the button and select from the following menu. 2. Enter a load value in the following form that will come up. 3. Click on the element you want to assign the load to. 4. The element load has been assigned to the selected element. Please note that this could also be done from the Frame elements tab on the left program menu, under the loads page. Applying loads on a node 1. Click on the icon and select from the following menu. 2. Enter a load value in the following form that will come up. 3. Click on the node you want to assign the load to. 4. The element load has been assigned to the selected node. Please note that this could also be done from the Auto generated nodes tab on the left program menu. Applying restraints (supports) on a node 1. Click on the icon and select the desired support type from the following menu. 2. Click on the node which you want to apply the restraint to. 3. Restraint has been assigned to the selected node. Please note that this could also be done from the Auto generated nodes tab on the left program menu. Applying spring restraints (supports) on a node 1. Click on the icon and select from the following menu. 2. Enter the spring stiffness in the following form that will come up. 3. Click on the node you want to apply the spring support to. 4. Spring support has been assigned. Please note that this could also be done from the Auto generated nodes tab on the left program menu. Deleting and modifying a frame element 1. Either select the element graphically and double click on it (or right click), or select it from the frame elements combo box in the frame elements menu on your left. OR (double click or right click) 2. The menu with the examined frame element’s data will show, as following: 3. Click on Edit in order to enable the controls and start modifying the data, or on Delete to delete the selected frame element. 4. Then click on OK to finish. Modifying a node 1. Either select the node graphically and double click on it (or right click), or select it from the nodes combo box in Auto generated nodes menu on your left. 2. The menu with the examined node’s data will show, as following: 3. Click on Edit in order to enable the controls and start modifying the data. 4. Then click on OK to finish. Creating, modifying and deleting a material 1. Select the material from the materials combo box. 2. Click on Edit to modify its data, on Delete to delete it, or on New button to create a new material. 3. Then click on OK to finish. Creating, modifying and deleting a section 1. Select the section from the materials combo box. 2. Click on Edit to modify its data, on Delete to delete it, or on New button to create a new section. 3. Then click on OK to finish. Running static analysis 1. Make sure that the option Linear static analysis is checked under the Calculate menu. 2. Simply click on Run analysis item or on the toolbar icon. Running dynamic analysis 1. Make sure that the option Dynamic (Mode superposition) analysis is checked under the Calculate menu. 2. Enter time step number in the following tab on your right. 3. Make sure that the preferences under the Dynamic Analysis tab are correct. 4. Simply click on Run analysis item or on the toolbar icon. Applying dynamic loads This can be done very simply following these steps: 1. Set the time step number under the Time step tab on your right. 2. Choose the time at which you want to impose a load in your model. 3. Apply the loads in your model as you would do in case of a static analysis. These loads will be imposed only at the selected time (at 0.667 seconds) 4. Continue applying nodal and element forces for each desired time step. Viewing results of dynamic analysis 1. Choose the time at which you want to see the results. 2. All model results will now refer to the selected time step. Viewing graphs of dynamic analysis results You can watch the dynamic response of the model in the whole given time span. 1. After dynamic analysis is complete, click on the analysis results item under the Tools menu. 2. icon or on the Graphics dynamic The following form is displayed. 3. You can choose among many characteristic values (nodal displacements, reactions, element internal forces etc) which will represent the Y axis. The X axis of the graph is the time. 4. The graph, which is automatically created, shows the behavior of the model in the time span in a compact form. This is of course very useful. Creating an analysis report 1. Click on the icon. 2. A window with the created report will display. 3. By using the buttons , you can browse your report. As you can see it contains all model data and results, as well as all diagrams regarding the deformed shape, the internal forces diagrams (axial – shear force and bending moment) and the mode shapes. 4. You can export the report to many formats, including .rtf (Word) and .xls (Excel) file format by clicking on the 5. icon. The report can be printed by clicking on the icon. In case of dynamic analysis, the results in the report refer to the latest time step.
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