Please note that at node 1, value of force Q2 (along y-axis) is -ve because the load applied is in downwards direction.
Truss graphical analysis code#
Sample Inputs: Sample Inputs for a Truss Analysis using Stiffness Matrix Method – Python Tkinter App Code
Once everything is filled out, click on the ‘Final Submit’ button. If member 1 starts from node number ‘2’ and connects with node number ‘3’, simply put 2 and 3 in the second row. Simply put the node numbers as the starting and end nodes for respective members.
The bottom right box is for detailing the flow of members. Please, note that we have put only ‘1’ in the known dogs box in the top left left window, hence we got only only row here. The bottom left box is for filling the given forces. GUI for Truss Analysis using Stiffness Matrix Method _ Python Code In 2D trusses, each node has two dofs, one along x and other along the y axis. ‘x’ and ‘y’ are the coordinates of the node, and ‘dof x’ and ‘dot y’ are the names of the possible kinetic degree of freedoms along x and y axis. The top right box is for filling the node details of the ‘n’ number of nodes. Count the number of members and nodes correctly and once you enter them, you will get three other boxes as shown below. You can change the units of length and load as per requirements of the problem at hand. Please leave the Elasticity ‘E’ and Area ‘A’ boxes as ‘0’ if they are not given, but they must be constant and same for all members. The top left box is the first thing that appears on the screen. So what will you get when you run this code? Let’s see. Get the code now: Code for Truss Analysis using Stiffness Matrix Method It uses Tkinter for GUI and Numpy library for matrix calculations. Hence, I created this program coded in Python language to solve the Truss Analysis problems.
Next select a scale and draw a line representing all the loads and reactionsall the loads are vertical - so is the linethe line is the line a,b,c,d,e,f (ag, gf)ab = 1, bc = 2.etc ag = 4, gf = 4begin with a zone near a reaction, e.g hah is vertical and gh is horizontal - meet at g (h & g at same point) hg is 0htake next zone - ibi is horizontal and ih is at 45o - draw these lines they meet at iNow ij is vertical and jg is horizontal.It is very well known that Stiffness Matrix method of truss analysis is quite cumbersome when it is used manually, but it is very fast and easy when used with computers. Using symmetry R1 = R2 = 8/2 = 4kNįirst annotate using Bows Notation (label spaces between members and forces)First find the reactions. Now fa is directing upward i.e., towards joint B, hence af or fa will be in compression.ĮxampleFor the same truss use the Graphical Methodto construct a Maxwell diagram and find the forces in the membersFirst find the reactions. To find the sense, draw FBD of joint A and read clock wise.ĭirection of af is downward and towards the joint A means the force will be directed towards the joint.įorce directing towards the joint is compressive and af will be in compression.įor cross checking, take joint B and read clock wise. Length of the line af will show the magnitude of the force in member af. Interpreting Maxwell DiagramWe can find the following attributes of the truss member from the Maxwell diagram.Magnitude of the forceSense of the force (tension or compression) The points will be located by drawing the lines in true sense surrounding these points.įor example, af and ef are drawn and where they will intersect, they will give the point f. Maxwells DiagramMaxwell diagram is the second step while calculating the forces in truss members by Graphical Method, after Bows notation.įorce polygon is drawn first at some suitable scale.Īfter completing the force polygon of applied forces and reactions, we will locate the intermediate points f, g, h, i, j. Lecture OutlinesBows NotationMaxwell DiagramInterpretation of Maxwell Diagramīows NotationIn this system, the spaces between lines of action of the forces acting on the joints of the truss are given a lowercase letter.Īny force is correspondingly designated by the letters of the two spaces separated by its line of action. Truss: Graphical MethodTheory of Structure - I
0 kommentar(er)
