Solved: A holding fixture for a workpiece 37.5 mm thick at

Chapter 10, Problem 10-23

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QUESTION:

A holding fixture for a workpiece 37.5 mm thick at the clamp locations is being designed. The detail of one of the clamps is shown in the figure. A spring is required to drive the clamp upward when removing the workpiece with a starting force of 45 N. The clamp screw has an \(\mathrm{M} 10 \times 1.25\) thread. Allow a diametral clearance of 1.25 mm between it and the uncompressed spring. It is further specified that the free length of the spring should be \(L_0 \leq 48 \mathrm{~mm}\), the solid height \(L_s \leq 31.5 \mathrm{~mm}\), and the safety factor when closed solid should be \(n_s \geq 1.2\). Starting with d = 2 mm, design a suitable helical coil compression spring for this fixture. For A227 HD steel, wire diameters are available in 0.2-mm increments between 0.2 to 3.2 mm.

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QUESTION:

A holding fixture for a workpiece 37.5 mm thick at the clamp locations is being designed. The detail of one of the clamps is shown in the figure. A spring is required to drive the clamp upward when removing the workpiece with a starting force of 45 N. The clamp screw has an \(\mathrm{M} 10 \times 1.25\) thread. Allow a diametral clearance of 1.25 mm between it and the uncompressed spring. It is further specified that the free length of the spring should be \(L_0 \leq 48 \mathrm{~mm}\), the solid height \(L_s \leq 31.5 \mathrm{~mm}\), and the safety factor when closed solid should be \(n_s \geq 1.2\). Starting with d = 2 mm, design a suitable helical coil compression spring for this fixture. For A227 HD steel, wire diameters are available in 0.2-mm increments between 0.2 to 3.2 mm.

ANSWER:

Step 1 of 4

The thickness of the holding fixture for a workpiece is \(t=37.5 \mathrm{~mm}\).

The starting force to remove the workpiece is \(F=45 \mathrm{~N}\).

The clearance between clamp screw and uncompressed spring is \(c_{l}=1.25 \mathrm{~mm}\).

The free length of the spring is \(L_{o}=48 \mathrm{~mm}\).

The safety factor of the spring is \(n_{s}=1.2\).

The bolt diameter is \(D_{b}=10 \mathrm{~mm}\).

The wire diameter of the spring is \(d=2 \mathrm{~mm}\).

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