5003 Lectures - Faculty of Engineering and Applied Science

E5003 - Ship Structures I 83
© C.G. Daley
Topic 9: Solving Beam Equations
A Train Station in Lisbon
Introduction
In this Chapter we will
• Review the differential equation set derived in the last Chapter and
discuss solutions using Macaulay functions and Maple.
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Family of Differential Equations
Simple beam behavior considers only the
deflections due to bending, and only in 2
dimensions. Torsion, shear and other elastic
distortions are neglected (for now).
Consider a beam between two supports. We
describe the deflections with the variable v(x).