Cable Tension and Shape on a Suspension Bridge

by Gregory Miller

Submitted : Fall 2014

The values for x1 were found which allows for T0, and T to also be found. This is done by looking at the diagram of the bridge and using the dimensions given and determining that the left and right vertical sides above point A are set to represent their lengths. The same process is done for the horizontal lengths below point A. Those equations are then put into the given equation for y and are manipulated to give an equation for w/T0. Once this is done the arch length formula can be put into Excel with the other knowns to solve for the remaining variable x1. Now that x1 is known the cable shape and tension can be plotted. The shape and tension in the main cable was able to be determined from the results.

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