Consider the cables in overhead power transmission lines. Determine the shape or sag and tension in the cable to ensure stability in the power transmission lines. For analysis of the cable subjected to its own weight, a generalized loading function is used that acts along the cable's arc length instead of the projected length. Next, consider a small segment of the cable and draw a free-body diagram of the segment. By applying the equations of equilibrium, a set of three equations can be obtained. Here, the first and second equation represents the horizontal and vertical component of the tensile force, respectively. Using Pythagoras' theorem, a relation can be established between the change in the vertical distance, dy and the arc length of the cable, ds. This relation is substituted in the third equation. Finally, by rearranging the terms and integrating the equation, the expression for the shape of the cable can be determined.