Engineering 470
Product/Process Design
Assignment #4

 

 

You are a designer of diving boards. A simple model for your product is a cantilever beam. You want to design a new board so that a 150lb (67kg) woman deflects the board 3in. (7,6cm) when standing on the end. Parametrically vary the length, material, and thickness of the board to find five configurations that will meet the deflection criteria.

 

 

The governing equation needed for the calculations is the equation for deflection of a simple cantilever beam:
 

Given the 150 lbf load and a maximum deflection of 3in, we now have our design parameters for the calculation.

 

 

Design Scenario #1

With a board Length of 20 ft and a width of 35 inches constructed from common steel, we calculate the needed thickness to be
 

Rearranging the deflection equation to solve for h we find the thickness to be
 

Design Scenario #2

With a board Length of 15ft and a width of 30in constructed from aluminum, we calculate the needed thickness to be
 

 

Rearranging the deflection equation to solve for h we find the thickness to be
 

 

 Design Scenario #3

With a board Length of 45ft and a width of 35in constructed from aluminum, we calculate the needed thickness to be
 

 

Rearranging the deflection equation to solve for h we find the thickness to be

   Design Scenario #4

With a board Length of 20ft and a width of 40in constructed from aluminum, we calculate the needed thickness to be
 

 

Rearranging the deflection equation to solve for h we find the thickness to be

 

 

  Design Scenario #5

With a board Length of 25ft and a width of 25in constructed from aluminum, we calculate the needed thickness to be
 

 

Rearranging the deflection equation to solve for h we find the thickness to be