You are tasked with designing a helical compression spring that will be used in a valve

operating mechanism for the food industry machinery. The spring will experience fluctuating

loading conditions, ranging from 25 N to 120 N, and needs to have a stiffness of 2000 N/m.

However, there are several assembly constraints to consider. Firstly, the spring wire's free

length must not exceed 110 mm due to assembly considerations. Additionally, the solid height

of the spring cannot exceed 45 mm, and the free length should not exceed 125 mm.

To assist in your design, the manufacturer offers spring wire diameters of 1.6 mm, 1.8 mm, 2.0

mm, 2.3 mm, and 2.6 mm. You are required to use the Gerber-Zimmerli fatigue-failure criterion

with a fatigue design factor (nf) of 1.5, ensuring the spring can withstand the fluctuating loading

conditions over its lifespan. Your task is to select an appropriate spring material suitable for

food industry machinery applications and determine the design parameters for the helical

compression spring. These parameters may include the wire diameter, number of active coils,

mean coil diameter, and any other relevant specifications needed to meet the given

requirements

mechanical design