Mechanical engineering/civil engineering Truss related project using matlab.

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timer Asked: Mar 24th, 2016

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Please only bid on this asignemnt if you are an expert at it because I need high quality work.

There is a mtlab template which is required to do it. since I can't upload it here as it denies the permission, please let me know you will be able to do it.


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CEE/CNE 210 Statics Arizona State University SSEBE Mechanics Group Computing Project 3: Connectivity and Unit Vectors Program Computing Project 3 is preparatory for CP4 which will be the analysis of truss structures. In other words, a good performance on CP3 will make CP4 much easier for you. A truss consists of straight, slender bars pinned together at their end points. Truss members are considered to be axial force members, which means that all the external and internal forces act only along the axis of the bar. To analyze a truss we study the forces acting at each pin joint, one at a time. It is therefore essential to determine the axis direction of each truss member. The position vector between the end points of each truss member, from one pin joint to the next, will allow us to determine the length of each member and the direction of each member’s axis, which is described by a unit vector along the axis. So, the focus of CP3 is to determine the geometric arrangement of the members of any given truss. To do this you must input the coordinates of the pin joints and the relationships of the truss members in order to determine the direction vectors along the axis of each member. What you need to do Part 1 For this computing project, you first need to input all the coordinates of the joint locations for the two trusses (see Figures 1 and 2). It is convenient to label each joint with a unique number (also known as the “node number”). Create a Joint Coordinate Array that is 3 columns wide and has the number of rows equal to the number of joints in the truss. Each row of the joint coordinate array should contain the x, y, and z coordinates of the point. The node number is the same as the row number where the coordinates are stored in the joint coordinate array. For 2-D trusses just leave the z coordinate as zero for each joint. Once the coordinates of the joints are stored in the program, you will need to input how those points are connected to each other by the members of the truss. Not every member is connected to every joint or to each other so you need to identify which members are connected together and at which joints. In order to describe how the members connect to the nodes you will want to label each member with a “member number” (see Figures 1 and 2). This connectivity array should be 2 columns wide and have the number of rows equal to the number of members in the truss. Each row of the Member Connectivity Array should contain the start node and end node of the member. The joints and members can be numbered in any way you want, but it can sometimes be advantageous to use some sort of logical, sequential order if you can discern one. For example, member BK in Fig. 1 starts at joint 2, which has coordinates of x = 2 m and y = 0, and ends at joint 11, which has coordinates of x = 4 m and y = 3 m. The coordinate array and connectivity array will allow you to calculate the position vector along each member. Using a for loop, compute the position vector for each member, the length of each member and a unit vector to describe the direction of each member. The direction of the unit vector will depend on which end of the member is arbitrarily designated as the start node and which end is designated the end node. 1 CEE/CNE 210 Statics Arizona State University SSEBE Mechanics Group Verify your code by using external references (textbook examples, online, etc.) and computing the unit direction vectors for other truss structures. Plot all your trusses including all nodes and members. If your plot looks like the original truss then you were successful. For a 3-dimensional truss, the plot can be rotated to see all three axes. Figure 1a: Planar Truss Figure 1b: Planar Truss with node numbers Figure 2a: Space Truss Figure 2b: Space Truss with node numbers 2 CEE/CNE 210 Statics Arizona State University SSEBE Mechanics Group Part 2 The second part of this project is to consider a polygon with points that lie on a half circle. The task in this case is to generate the coordinate array and connectivity arrays for the points with the flexibility to specify any number of sides on the polygon, say n sides. This simulates a truss of any shape and with any number of members. Figure 3: Arc The semi-circular arc shown in Figure 3 has been described by 5 members with 6 joints. The coordinates of each point can be described as a function of R and θ (which should be values input in the program at the start). A for loop can be used to generate the coordinates of each point. Once the coordinates have been created, a second for loop can be used to compute the connections between each point along with the unit vector that describes the direction of each connection. The number of points and the radius of the arc should be able to be varied by one small input change in the program. Plot the polygon trusses you create. Can you expand on this part further? Can you create an actual polygon truss consisting of a large arc and a small arc with members connecting the two arcs together? Can you generalize this algorithm to be able to use any number of points on the top arc and bottom arc? This is your time to play around with the connectivity between nodes and members and see what you can get MATLAB to do. Use the provided MATLAB code template, “CP_3_Template.m” to get you started. Change the file name to include your name (eg. “CP_3-John Doe.m”). Report Write a report documenting your work and the results (in accord with the specifications given in the document CEE210 Guidelines for Computing Project Reports). Include figures, plots, and results. Discuss your discoveries and explorations. Include your name in the report file name and convert the file to PDF (eg. “CP3 Report-John Doe.pdf”). Upload your report .pdf file to Blackboard prior to the deadline. Upload your .m program file to Blackboard as well. Remember if your code doesn’t run then you get zero for the project. However, most of your grade on the project is earned from the report. 3
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