CATENARY CURVE | USING MATLAB | 2D & 3D OUTPUT GRAPHS
CATENARY CURVE USING MATLAB 2D & 3D OUTPUT GRAPHS Catenary is a famous curve in geometry and mathematics. Word caten is a latin origin which means of chain. Catenary is a U shaped curve and it is also referred with the name Alysoid and Chainette in some places. Visually it has a shape like a rope or cable which is hanging under its own weight due to earth’s gravitation i.e. saggy from the center when connected from only at its two ends. Till year 1669 it was believed that the suspending rope connected from both ends which is handing upon its own weight holds the mathematical shape called parabola which is presented by Galileo. While in year 1669 his claim was disclaimed by Jungius while in year 1691 Leibniz, Huygens and Bernoulli presented the actual mathematical formula of catenary curve. Mathematically the catenary curve is represented by hyperbolic cosine function. y = a * cosh (x / a) or : y = (1/2) * a* ( e^(x/a) + e^(-x/a) ) where a is the factor which decides saggines