ME 212 Lecture Notes - Lecture 4: Bessel Function, Kolmogorov Space, Integral Symbol
Document Summary
Home differential equations 2nd order equations equation of catenary page 2. Click or tap a problem to see the solution. Determine the shape of a nonuniform catenary of equal strength. https://math24. net/equation-catenary-page-2. html. Determine the shape of the cable supporting a suspension bridge. This problem is similar to the problem considered above. Then the equilibrium condition for a differential element of the cable the form can be written in ds. ) = dp (x) = dx, y. Integrating the simple differential equation twice, we find the shape of the cable: 2 are constants of integration depending on the initial conditions. Thus, the cable of a suspension bridge takes the form not of a catenary, but a parabola. So, for example, the suspension cables of the golden gate bridge in san francisco look like a parabola (figure ). Determine the shape of a nonuniform catenary of equal strength.
