singularity functions

Beams deformation by singularity functions 95 96

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Unformatted text preview: 4 for L/4 ≤ x ≤ L / 2 for L / 2 ≤ x ≤ L LECTURE 16. BEAMS: DEFORMATION BY SINGULARITY FUNCTIONS (9.5 – 9.6) Singularity Functions Slide No. 7 ENES 220 ©Assakkaf Introduction – We see that even with a cantilever beam subjected to two simple loads, the expressions for the shear and bending moment become complex and more involved. – Singularity functions can help reduce this labor by making V or M represented by a single analytical function for the entire length of the beam. 4 LECTURE 16. BEAMS: DEFORMATION BY SINGULARITY FUNCTIONS (9.5 – 9.6) Singularity Functions Slide No. 8 ENES 220 ©Assakkaf Basis for Singularity Functions – Singularity functions are closely related to he unit step function used to analyze the transient response of electrical circuits. – They will be used herein for writing one bending moment equation (expression) that applies in all intervals along the beam, thus eliminating the need for matching equations, and reduce the work involved. LECTURE 16. BEAMS: DEFORMAT...
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This document was uploaded on 02/04/2014.

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