Collection

2020 St.Lawrence Section Meeting

Authors

Stephen Boedo

paper and show how these general functionalforms can be used to determine the deflection of arbitrarily loaded beams of non-uniformflexural rigidity. The level of mathematical rigor employed in this paper is intentionallyaimed at a level typically taught in an introductory-level calculus course and typicallyencountered by a first- or second-year mechanical engineering student.2. Shear-moment distributions and beam deflections Much of what follows in this section is taken from Boedo [10] and is presentedhere for completeness. Figure 1 shows a beam subjected to an external load distributionq(x). The origin of the x,y coordinate frame is attached to the left-most end of the beam,and the y-axis points upward. The load distribution q(x