Optional Homework Assignment: Solving beam differential equation in the reversed coordinate system

Consider the cantilever beam shown in Fig. 1 below.

Note the location of the coordinate system center. Assume that length , force , modulus of elasticity , and moment of inertia are given.

a) Derive the equations of deformation .
b) For a chosen (realistic) values of , , , and , plot the function in MATLAB or in any other software that you know (Python, Mathematica).

Deadline: Friday, November 05, 2021, at 10:10 AM

IMPORTANT COMMENTS:

– Number of points: 5 points on the final exam (however, both a) and b) have to be completed successfully).

– During the lectures on Friday, we explained how to solve the bending differential equation to compute the deformation in the direction as a function of . However, the coordinate system center was different from the coordinate center location in Fig. 1. Consequently, the mathematical forms of equations will be different for two coordinate system locations.