A helical compression spring is subjected to a maximum force, Fmax of 1250 N. The deflection of the spring corresponding to the maximum force should be approximately 30 mm. The spring index is 6. The allowable shear stress is 350 MPa and the modulus of rigidity is 81 370 N/mm². Design the helical spring by calculating the wire diameter, mean coil diameter, number of active coils and the total number of coils. State all assumptions and decisions in your design.

A helical compression spring is made with oil-tempered wire of diameter 0.2", mean coil diameter of 2", 12 total coils, 5" free length, and squared ends. (a) Find the solid length. (b) Find the force required to compress the spring to closure? (c) Find the factor of safety against yield when compressed to the solid length. (Hint: Uses Say= 0.5 Sut for shear strength.)

5. Design a helical compression spring for a maximum load of 1000 N and deflection of 25mm taking Wahl’s factor into consideration. Assume spring index as 5, maximum permissible shear stress for spring wire as 420 MPa and modulus of rigidity as 84 kN/mm2

1. Design a helical spring for a spring loaded safety valve for the following conditions: Operating pressure Maximum pressure when the valve blows off freely = 1 N/mm? = 1.075 N/mm2 Maximum lift of the valve when the pressure is 1.075 N/mm2 = 6 mm Diameter of valve seat =100 mm Maximum shear stress 400 MPa %3D Modulus of rigidity = 86 kN/mm? Spring index = 5.5 [Ans. d= 17.2 mm; D=94.6 mm; n=12| A vertical epring loaded ualue ia noonin

A close plain coil helical spring has a stiffness 10 N/mm. Its length when fully compressed, with solid length is 400 mm. (Take: G= 80 GPa, K,-1) 1) Determine the wire diameter and mean coil diameter if their ratio is 1 #P 10 2) If the pitch of spring is 2 mm, what maximum load can be applied before the spring becomes solid? 3) What is the corresponding maximum shear stress in the spring?

i.Considering the rod diagrammed below; calculate an equivalent spring constant or the rod using the length of the rod 1, its area A, and Young's nodulus E for a compressive force F that compresses the rod a distance x. Additionally, is a linear spring a useful model for a rod under compression? What if the rod is under tension? compressed rod

6. It is desired to design a valve spring of I.C. engine for the following details: (a) Spring load when valve is closed 80 N (b) Spring load when valve is open = 100 N (c) Space constraints for the fitment of spring are : Inside guide bush diameter = 24 mm Outside recess diameter= 36 mm (d) Valve lift 5 mm (e) Spring stcel has the following properties: Maximum permissible shear stress = 350 MPa Modulus of rigidity 84 kN/mm? ried: 1 Wire diameter; 2. Spring index; 3. Total number of coils; 4. Solid length of sprine: 5. Free

Consider four springs with spring constants k1= 20N/m, K2=50 N/m, K3-100 N/m, K4=200 N/m, What is the equivalent spring constant if K234 are in parallel and with K1 in series. O 128.95 N/m O285.35 N/m O 370 N/m O 18.92 N/m

Figure 1.29 shows the suspension system of a freight truck with a parallel-spring arrangement. Find the equivalent spring constant of the suspension if each of the three helical springs is made of steel with a shear modulus G = 100 GPaand has 10 effective turns, mean coil diameter D = 50 cm, and wire diameter d = 5 cm

A helical compression spring is wound using 0.12-in-diameter phosphor-bronze B159 wire. The spring index C = 10 and the total number of coils is N = 14. You may assume that the spring has both ends squared and ground and is supported between fixed ends. Also, Sgy = 0.45 · Sut- a. Estimate the spring rate. b. Estimate the static load corresponding to the yield strength. c. What should the free length of the spring be to ensure that when it is compressed solid the torsional stress does not exceed the yield strength? d. Calculate the critical value of the free length of the spring to avoid buckling.