Mechanical hindrance second order problems through novel approach

Ganesh, Engammagari and Kumar, Yaswanth and Kumar, Santhosh and Reddy, Preetham Siddhartha (2025) Mechanical hindrance second order problems through novel approach. World Journal of Advanced Engineering Technology and Sciences, 15 (3). pp. 1715-1726. ISSN 2582-8266

Bridge problems are complicated. Complex mathematical techniques like partial differential equations, functional analysis, and calculus of variations are often required for higher-order issues. These techniques may be used to develop numerical methods for estimating the solutions to these challenging issues or analytical solutions. Bridge-related matters may be resolved in a variety of ways. A new approach, the novel method, was created among the other existing ways. The bridge issues in this paper are solved using the Novel approach. Static, dynamic, and different types of problems may be solved using this method. The key benefit of this approach is that it solves issues more quickly and accurately than other approaches. This method considered and resolved second-order bridge issues in the current research. A fundamental supported continuous beam with n supports and various loading conditions is employed. Specifically, two groups of bridges with varied lengths were evaluated. The entire length of the beam was supposed to fluctuate between -1 and 1 in the first example and between 0 and 1 in the second example before being solved using different approaches. Boundary circumstances were taken into consideration to resolve every instance involving space. Based on the outcome of this methodology, it can be seen that, in terms of space, the unique method approaches results are accumulating quickly and approaching the precise answer. The outcome of this procedure is then compared to the exact answer, and observed that it is nearly the same. For academic reasons and in numerous technical sectors, the current research will help resolve any issues with this method.