5 mm diameter is used to make a helical compression spring shown in Figure 3. The spring index would be, C = 12. The spring will be operated inside a bore, therefore buckling is insignificant. Both

Q3) A short stepped bar is shown in figure below. The stiffness of the large section is 12 kN/mm and the stiffness of the small section is 8 kN/mm. End 1 is fixed and an axial load of 6 kN acts at node 3. Determine the displacements at node 2 and node 3. 12 AN /mm AN Imm Figure (1)

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- In a compound helical spring, the inner spring is arranged within and concentric outer one but is 10 min shorter. The outer spring has 10 coils of mean diaineter 30 min and wire dia 3 mm. Find stiffness of inner spring if an axial load of 100 N causes outer one to compress by 20 mm. If the radial clearance between the springs is 2 mm, find wire diameter of inner spring which has 8 coild. G 80 kN/mm.

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42. The static deflection at the center of the steel shaft in Fig. 3-53 is equal to 0.35 mm. Find the value of the critical speed. Shaft is steel. Ans. n = 1810 rpm. Design of Shafts Chap. 3 248 t. 50 30 1"dia 10" 10" Figure 3-52 Problem 41. 10 kg 10 kg C B 375 600 mm 375 Figure 3-53 Problem 42.

1/A coil spring with plain ends that are ground is to operate with a load that fluctuates between 200 and 400 N, during which the deflection is to vary by 13 mm. Steel spring wire is to be used with a mean coil diameter D of 51 mm as shown in figure (1). Determine appropriate value for safety factor for this case, and find the other dimensions of the spring. If the spring material is steel with the ultimate strength of 2010 MPa and the rigidity of 80 GPa.

PROBLEM:1 A gas engine valve spring is to have a mean diameter of 55 mm. The maximum load it will have to sustain is 584 N with a corresponding deflection of 7.18 mm. The spring is to be made of tempered wire. Since the material is to be subjected to repeated loading and fatigue must be considered a low working stress of 650 N/mm? will be used. Find the size for wire and number of coils used. Take modulus of rigidity as 0.84 x 105 N/mm? .Assume the spring coil is squared and ground. Take shear stress Concentration factor as 1.15.