A pressure spring shall be dimensioned for energy absorption. The amount of energy to be stored by the spring has been calculated at 4.3 J. The material effort of the spring is considered to be capable of totaling a corresponding shear stress of 600 N/mm^2. The spring material shear modulus is 0.815 N/mm^2. The pressure spring shall have no steering. Therefore, the number of springy turns (fastening turns = active turns = total number of revolutions including flat-cut turns - 1.75) is set to 5. For manufacturing reasons, the wire diameter shall be between xi and x mm in increments of 0.5 mm. Only observe the torsion mark.
(a) What median diameter and wire diameter should the spring have if the diameter ratio D/d = 7 is tested?
(b) With what pitch P mm/turn (see Figure 2) should the spring be coiled around? At full energy content, the assembly clearance should be 1.2 mm/rev. The spring is initially completely unstrained.
Outside diameter
Free length Squared & ground end Figure 2 Pressure spring