Last Updated on October 22, 2026 by Maged kamel
Video for practice problem P7-35-Use discontinuity Function.
This video explains how to write expressions for W(x), v(x), and M(x) for the given beam. Use these data to plot Shear and Moment diagrams for the cantilever beam. A point load and a point Moment act upon the cantilever beam. This practice problem is from Prof. Timothy Philpot’s book, An Integrated Learning System, Mechanics of Materials. The same practice Problem is on page 7-56 in the third edition.
We have a given cantilever beam with a span of 6 m, acted upon by one downward concentrated load of 5 KN at point A and one concentrated moment of 20 KN · m acting clockwise.
Timestamps
- 0:00- Introduction to practice Problem 7-35.
- 3:29 – Expressions for W(x),V(x) and M(x).
- 6:32 – Expressions for V(x) and find values for x=2 to x=6 m
- 9:09 – Expressions for M(x) and find values for x=0 to x=6 m
- 12:20- Sketch the Shear force and bending moment diagram.
- 13:52 – Using Excel to calculate shear values.
- 17:21- Plot A Shear diagram using Excel.
- 17:52- Using Excel to develop values for Moment.
- 20:53- Plot a Moment diagram using Excel.
The PDF for this video has two parts and can be downloaded from the links below.
The published posts: 1-Macaulay’s function and singularity functions.
The second post: Discontinuity Functions Table.
The third post: Part 1 of Practice problem-7-32 Discontinuity Functions.
Please refer to post 4, Part 1 of Practice problem-7-35 Discontinuity Functions.
Please refer to post 4, Part 1 of Practice problem-7-35 Discontinuity Functions.
The following video is 5-Video for practice problem P7-38-Use discontinuity Function.