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Engineering & Technology
Physics

The Discontinuity functions table for loads, shear and moment expressions-English

1K views · Dec 13, 2023
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The Discontinuity functions table for loads, shear, and moment expressions. The table is quoted from Prof. Timothy Philpot's book, An Integrated Learning System, Mechanics of Materials. How to Represent Load, Shear, and Moment by using Macaulay's functions and discontinuity functions? The video has a closed caption in English. Timestamps 0:00- Basic loads represented by discontinuity functions. 1:02 – Case 1, case of Moment M0 in the clockwise direction. 4:02 – Case 2, case of an upward load. 7:13 – Case 3, case of an upward uniform load shifted by a distance a for W(x) axis. 8:20 – Case 4, case of an upward triangular load shifted by a distance a for W(x) axis. 10:52 - Case 5, case of an upward uniform load shifted by a distance a for W(x) axis, but with limited width. 12:49- Case 6, case of an upward triangular load shifted by a distance a for W(x) axis, but with limited width. 16:07- Case 7, case of an upward declining triangular load shifted by a distance a for W(x) axis, but with limited width. #mechanicsofmaterials #discontinuityfunctions #singularity functions
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