The intersection of this line with the x-axis represents an improved estimate of the root. Both of these problems allow the user to input the independent and parameter values. Upon input of the values, the program runs and outputs the generated value of tension and number of iteration for that method. Summary Overall, I developed two programs which calculate the horizontal tension in a catenary cable. The false position method took 53 iterations to come within the same error as the bisection method which only took 12 iterations.
Force balances are fundamental to the development of mathematical models in civil engineering.
In this project, I have employed a force balance to derive a model for a catenary cable and adjust it so I can calculate values of tension on either end of the cable. All of my project was completed through use of a computer. I used Canvas to draw my flowchart, Codewarrior to execute and compile my C-program, Netscape to compile my report, graphics converter to convert from Canvas to a JPeg, and Omnipage to scan my diagrams. All of these programs are efficient programs for an engineer and aided well in the development of my project. The bisection method gathers more accurate calculations for calculating tension than the false position method.