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Prosthetic Arm Force Reducer Team 1 – Halliday's ... - Ohio University

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The rings are the most expensive part of the mechanical advantage system because they will be<br />

made out of a 2-1/2” diam. stainless steel pipe. The minimum length of stock for this pipe size is<br />

12’’ and as such a large amount of extra material had to be purchased. The high cost<br />

(approximately $73) is hard to justify for the construction of a single system, however this stock<br />

would be fine if multiple systems were to be constructed.<br />

A nylon pulley with a stainless steel housing was selected. This item cost around $20 and will<br />

require no additional modifications. The bearings were selected due to the flexibility of sizes<br />

available and the low cost. Ball bearings are approximately one-third the cost of rubberized<br />

wheels. The 1/4” diameter stock for the axles and spacers was very inexpensive at around $6 per<br />

12” length. All materials, with the exception of the nylon pulley, of the mechanical advantage<br />

system are stainless steel which makes any necessary welding possible and is good for corrosion<br />

7.0.7 Design Analysis<br />

For mechanical advantage system, yielding of the tracks is the most pertinent failure mode for<br />

formal analysis. This failure mode involves potential yielding of the track’s sidewalls due to the<br />

forces inherent to having the pulley travel centrally through the forearm. The central translation<br />

of the pulley requires the cable leading to the hook’s cable post to be at an angle at all times.<br />

This is illustrated below in a top-down view.<br />

Figure 7.0.2 <strong>–</strong> Pulley Vector Analysis<br />

The concern here is that the side-wall force “Fw” could torque the walls of track, and make them<br />

yield. There is also a possibility of a shearing failure where the tracks are welded to the retaining<br />

rings. Fortunately, theta decreases as the pulley is moved away from the front of the forearm<br />

during operation. Therefore, when the hook is fully open, the pulley is at its farthest point from<br />

the wrist, which results in the smallest value of theta to be encountered. This is desirable<br />

because at this condition, the largest forces are applied, but the effect of Fw is (geometrically) at<br />

its smallest.<br />

With these considerations in mind, this failure mode was analyzed at the point of highest user<br />

input with FEA software. FEA was chosen because of the unusual loading condition, and<br />

because it can simultaneously display the stresses at the sidewalls of the tracks, and the welded<br />

area.<br />

34

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