singularity functions

5 96 singularity functions enes 220 assakkaf moment

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Unformatted text preview: e 12. – Examples of non open-ended-to-right or discontinuous distributed loads are shown in Figures 13, 14, and 15. 12 Slide No. 24 LECTURE 16. BEAMS: DEFORMATION BY SINGULARITY FUNCTIONS (9.5 – 9.6) Singularity Functions ENES 220 ©Assakkaf Moment due to Distributed Loads y w0 w0 y x x1 L M w0 = − x x1 2 M w0 = − x x1 L w0 x − x1 2 w0 y L w0 x − x1 6(L − x1 ) 3 M w0 = −k x − x1 n+2 Figure 12. Open-ended-to-right distributed loads LECTURE 16. BEAMS: DEFORMATION BY SINGULARITY FUNCTIONS (9.5 – 9.6) Singularity Functions Slide No. 25 ENES 220 ©Assakkaf Moment due to Distributed Loads y w0 1 x x1 The moment at section 1 due to distributed load alone is L Figure 13 y w0 M w0 = − -w0 x1 x w0 w 2 x − 0 + 0 x − x1 2 2 2 L 13 LECTURE 16. BEAMS: DEFORMATION BY SINGULARITY FUNCTIONS (9.5 – 9.6) Singularity Functions Slide No. 26 ENES 220 ©Assakkaf Moment due to Distributed Loads y w0 x1 1 x x2 L Figure 14 y x1 w0 The moment at section 1 due to distributed load alone is w w 2 M w0 = − 0 x − x1 + 0 x − x2 2 2 x -w0 x2 L LECTURE 16. BEAMS: DEFORMATION BY SINGULARITY FUNCTIONS (9.5 – 9.6) Singularity Functions y 2 Slide No. 27 ENES 220 ©Assakkaf Moment due to Distributed Loads w0 x1 w1 L − x1 w (L − x1 ) = ⇒ w1 = 0 w0 x2 − x1 x2 − x1 x The...
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