A valve open close mechanism such as the one pictured below is needed. The wheel

Question

A valve open close mechanism such as the one pictured below is needed. The wheel may be made of any of the materials listed in the table. Choose the appropriate material indices from table 11.5 to select a stiff and light material for the valve handle. Consider the forces that would be applied when grabbing the handle and trying to turn the wheel (consider spokes and the hub).

Calculate the material index values for all materials in the table below and rank the best 3 candidates.

Please be neat and legible and show ALL steps.

1. A valve open-close mechanism such as the one pictured below is needed. The wheel may be made of any of the materials listed in the table. Choose the appropriate material performance indices from Table 5 to select a stiff and light material for the valve handle. Consider the forces that would be applied when grabbing the handle and trying to turn the wheel (consider spokes and the hub). Calculate material index values for all materials in the table below and rank the best three candidates. lay (MPa) Material i p (kg/m G (GPa) E (GPa) 28 0.33 2800 73 Aluminum Cast iron 7000 150 0.30 Copper 8900 0.34 Magnesium 1800 45 0,35 Steel 7800 13 0.29 Titanium 4500 0.33 275 120 650 850

Explanation / Answer

The handle and spokes should be stiff. The design is based on the stiffness and the parts are subjected to beam bending. we will compare E(1/2)/rho for various materials.

Though the index is high for magnesium, it is not used for the above application. Titanium is difficult to machine. So the best three materials are aluminum, steel, cast iron.

material E(1/2)/rho aluminum 96.49 cast iron 55.32 copper 38.1 magnesium 117.85 steel 63.89 titanium 76.98

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