Last Updated on September 1, 2026 by Maged kamel
Video for practice problem P7-32-Use discontinuity Function.
We have a 9-foot-long beam acted upon by two concentrated loads: P1 = 180 lb and P2 = 450 lb. The two loads act downwards.
Part a) requires using the discontinuity function to write the expression for load w(x), the beam reactions in the expression.
In part b), w(x) must be integrated twice to determine V(x) and M(x).
In part c), V(x) and M(x) must be used to plot Shear force and bending moment diagrams. Write the expressions for W(x), V (x), and M(x) for the given beam. Use these data to plot shear and moment diagrams for the simply supported beam. Two concentrated loads act on the beam.
Timestamps
- 0:00- Introduction to practice problem-7-32.
- 4:03 – Expressions for W(x),V(x) and M(x).
- 7:45 – Expressions for V(x) and find values for x=2 to x=5 feet.
- 13:37 – Expressions for V(x) and find values for x=6 to x=9 feet.
- 17:11 – Expressions for M(x) and find values for x=0 to x=6 feet.
- 20:02 – Expressions for M(x) and find values for x=7 to x=9 feet.
- 21:44- A sketch for the Shear force and moment diagram.
- 22:25 – Using Excel to develop values for shear and Moment.
- 26:05 – How to create a step for shear value at x = 2 ft.
- 28:04- How to create step for shear value for x=6 ft.
- 30:22- Plot for shear diagram by using Excel.
- 30:40 – How to derive an expression for a moment by using Excel?
The PDF for this video and the following one is covered in the PDF data; click the button.
There are two published posts: 1-Macaulay’s function and singularity functions.
The second post: Discontinuity Functions Table.