Chapter 12: Problem 33
List the spring parameters that can be changed while keeping the Iron Arms plastic ring geometry the same. Describe the effect of varying each parameter.
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Chapter 12: Problem 33
List the spring parameters that can be changed while keeping the Iron Arms plastic ring geometry the same. Describe the effect of varying each parameter.
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A full-elliptic leaf spring operates normally with a load that fluctuates between 100 and \(200 \mathrm{lb}\), but is to be designed for an overload that fluctuates between 100 and 300 lb. Total spring length is 24 in., \(h=0.1\) in., \(K_{f}=1.3\), and the steel to be used has \(S_{u}=180 \mathrm{ksi}, S_{y}=160 \mathrm{ksi}\), and \(S_{n}=80 \mathrm{ksi}\) (this figure pertains to the actual size and surface). (a) Determine the total width \(b\) required. (b) Show, on a \(\sigma_{m}-\sigma_{a}\) diagram the "operating points" for (1) machine turned off and spring supporting a static load of 100 lb only, (2) normal loads applied, and (3) design overloads applied. (c) Determine the spring rate.
ASTM B 197 beryllium copper spring wire with \(S_{u}=750 \mathrm{MPa}\) and \(\tau_{s} \leq(0.35)\) \(\left(S_{u}\right)=262.5 \mathrm{MPa}\) is used for a helical coil spring. The spring is wound with \(D=50\) \(\mathrm{mm}, d=10.0 \mathrm{~mm}\), and a pitch (distance between corresponding points of adjacent coils) of \(14 \mathrm{~mm}\). If the spring is compressed solid, would the spring return to its original free length when the force is removed?
Search the Internet and list advantages of nitrogen cylinder springs compared to coil springs.
A particular machine requires a helical compression spring, having ends squared and ground, to support an essentially static load of \(500 \mathrm{lb}\). The spring constant is to be \(200 \mathrm{lb} / \mathrm{in}\)., and the stress at the design load is to be \(80 \mathrm{ksi}\). The clash allowance is to be \(0.10\) in. The dimensions of related parts establishes that \(D\) should be 3 in. Determine \(N, d\), and \(L_{f}\).
Figure P12.58D shows a clip, one end of which is shaped like a mouth full of teeth. The clip utilizes a steel helical torsion spring to pinch the end of a toothpaste tube. A clamping force \(F=4.5 \mathrm{lb}\) is adequate for a regular size toothpaste tube \((\equiv 2\) in. wide). The mouth of the clip is about \(1.25 \mathrm{in}\). long and should open approximately \(45^{\circ}\) when clamping the rolled toothpaste tube. Determine the spring diameter \(D\) and the number of turns \(N\), and assume that \(d=1\)-mm-diameter wire is used. Assume that the spring can be manufactured in whole turns. If for fatigue endurance considerations we are not to exert more than a maximum stress of \(\sigma_{\max }=9000 \mathrm{MPa}\) to the spring, verify that the configuration does not exceed this stress for a full open position of \(70^{\circ}\). If the stress condition is not satisfied, suggest a way to reduce the maximum stress without essentially changing the clip design.
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