singularity functions

Also the corresponding value of m in any interval can

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Unformatted text preview: rity functions properties, a single equation (expression) for the bending moment for a beam can be obtained. – Also, the corresponding value of M in any interval can be computed. 8 LECTURE 16. BEAMS: DEFORMATION BY SINGULARITY FUNCTIONS (9.5 – 9.6) Slide No. 16 ENES 220 ©Assakkaf Singularity Functions Application of Singularity Functions in Developing a Single Equation to Describe the Bending Moment – To illustrate this, consider the beam of the following figure (Fig.11). – The moment equations at the four designated sections are written as shown in the following slide. LECTURE 16. BEAMS: DEFORMATION BY SINGULARITY FUNCTIONS (9.5 – 9.6) Slide No. 17 ENES 220 ©Assakkaf Singularity Functions Applications of Singularity Functions in Developing a Single Equation to Describe the Bending Moment M 1 = RL x M 2 = RL x − P(x − x1 ) M 3 = RL x − P(x − x1 ) + M A M 4 = RL x − P(x − x1 ) + M A − for 0 < x < x1 for x1 < x < x2 for x2 < x < x3 (21) w( x − x3 ) for x2 < x < xL 2 9 Slide No. 18 LECTURE 16. BEAMS: DEFORMATION BY SINGULARITY FUNCTIONS (9.5 – 9.6) Singularity Functions y ENES 220 ©Assakkaf Appl...
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