R3DC Report 2-08

Endplate Deflection

Point Load Deflection

A simple calculation based on the definition of Young's modulus can yield and order of magnitude level estimate for the deflection an endplate made from Aluminum. According to the definition of Young's modulus

[math]Y \equiv \frac{F}{4wy} \left( \frac{l}{t}\right )^3[/math]

where

[math]Y = 7 \times 10^{10}N/m^2 \equiv[/math] Young's Modulus for Aluminum

[math]F = 1027 N \equiv[/math]point force/load

[math]w =0.526 m \equiv[/math] width of the endplate

[math]y \equiv[/math] deflection of endplate due to point force

[math]l =4.83 m \equiv[/math] length of the endplate

[math]t = 0.05 m \equiv[/math] thickness of the endplate

A deflection of 6 mm is expected for a 5 cm thick Aluminum endplate after solving the equation for [math]y[/math] and inserting the above values. If a 5 mm thick stainless steel [math](Y=2 \times 10^{11} N/m^2 )[/math] endplate were used, a deflection of

Material	Youngs Modulus	Density
	MPa	[math]\frac{kg}{m^3}[/math]
Polyeurethane Foam FR-3700	140	240
Hexacell with holes
Carbon Fiber Rods	210	580

Carbon Rod Buckling

Buckling FEA

=3-D Analysis

Summary

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