Problem #2. (25 points). A mechanical engineering team is tasked with designing a helical spring so that the defection of the spring may not exceed 1.5 in . under a certain load. The mean diameter of the spring is 2.25 in ., and the wire diameter is 0.15 in ., with the material having an allowable shear stress of \tau _(allow )=50ksi and shear modulus of G=12\times 10^(6) psi. Assume both ends of the spring are to be squared and ground.
(15 pts). Calculate the number of coils of the helical spring.
( 5 pts). The Wahl factor for taking stresses other than torsional stress into account.
( 5 pts). The spring rate, k.