Deflection of a Diving Board

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

In this Demonstration, a woman stands on a diving board that is anchored to the wall on the left. Use the sliders to set the mass of the woman, her distance from the left wall, the board width and the board thickness. The deflection from horizontal is shown on the diagram at the location where the woman is standing. Assume that the diving board is weightless, so the length of the board does not affect deflection.

Contributed by: Rachael L. Baumann (September 2017)
Additional contributions by: John L. Falconer
(University of Colorado Boulder, Department of Chemical and Biological Engineering)
Open content licensed under CC BY-NC-SA


Snapshots


Details

A woman stands on a diving board that is attached to a wall on the left. The diving board has width and thickness . Deflection of the board from the horizontal position for is:

,

where is the mass of the woman (kg), is acceleration due to gravity, is distance from the wall (m), is the distance from the wall where the woman is standing (m), is the modulus of elasticity for plastic (Pa), and is the moment of inertia ().

For , the deflection of the board is:

,

where is maximum deflection.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send