This chapter essentially deals with the problem of computing the area under a curve. First, we will employ a basic approach and form trapezoids under a curve. From these trapezoids, we can calculate t...This chapter essentially deals with the problem of computing the area under a curve. First, we will employ a basic approach and form trapezoids under a curve. From these trapezoids, we can calculate the total area under a given curve. This method can be tedious and is prone to errors, so in the second half of the chapter, we will utilize a built-in MATLAB function to carry out numerical integration.
This page discusses beam deflection prediction techniques critical for materials testing, highlighting methods such as multiple integration of loading functions and the energy method. It covers practi...This page discusses beam deflection prediction techniques critical for materials testing, highlighting methods such as multiple integration of loading functions and the energy method. It covers practical applications like three-point bending, along with the use of dynamic equations and strain energy calculations. Challenges in analysis are noted, with modern software easing complexities.
