(Solved): A holding fixture for a workpiece \( 37.5 \mathrm{~mm} \) thick at the clamp locations is being de ...

A holding fixture for a workpiece \( 37.5 \mathrm{~mm} \) 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 \( 45 \mathrm{~N} \). The clamp screw has an M10 \( \times 1.25 \) thread. Allow a diametral clearance of \( 1.25 \mathrm{~mm} \) 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 \( d=2 \mathrm{~mm} \), design a suitable helical coil compression spring for this fixture. For A227 HD steel, wire diameters are available in \( 0.2-\mathrm{mm} \) increments between \( 0.2 \) to \( 3.2 \mathrm{~mm} \). After completion of the calculation, put the information in the blank space. 1. A227-47 HD steel Properties \( = \) 2. \( \mathrm{d}=\ldots \ldots \ldots \mathrm{mm} \quad[10 \) points \( ] \) 3. \( \mathrm{D}=\ldots \ldots \ldots \mathrm{mm} \quad[10 \) points \( ] \) 4. ID \( =\ldots \ldots \ldots \ldots \mathrm{mm} \quad[10 \) points \( ] \) 5. \( \mathrm{OD}=\ldots \ldots \ldots \ldots \mathrm{mm} \quad[10 \) points \( ] \) 6. Squared and Closed, \( \mathrm{Nt}=\ldots \ldots \ldots \). coils \( \quad[10 \) points \( ] \) 7. \( \mathrm{Na}=\ldots \ldots \ldots . \). coils \( \quad[10 \) points \( ] \) 8. \( \mathrm{k}=\ldots \ldots \ldots \mathrm{N} / \mathrm{mm} \quad[10 \) points \( ] \) 9. Ls \( =\ldots \ldots \ldots \ldots \mathrm{mm} \quad[10 \) points \( ] \)