Design a helical compression spring to be used in a cam and follower mechanism made of oil tempered carbon steel, is subjected to a load which varies from 416 N to 950 N. The spring index is 6.7 and the design factor of safety is 1.25. If the yield stress in shear is 770 MPa and endurance stress in shear is 350 MPa, find: 1. Size of the spring wire, 2. Diameters of the spring, 3. Number of turns of the spring, and 4. Free length of the spring. The compression of the spring at the maximum load is 30 mm. The modulus of rigidity for the spring material may be taken as 80 kN/mm2.

Design a helical compression spring to be used in a cam and follower mechanism made of oil tempered carbon steel, is subjected to a load which varies from 416 N to 950 N. The spring index is 6.7 and the design factor of safety is 1.25. If the yield stress in shear is 770 MPa and endurance stress in shear is 350 MPa, find: 1. Size of the spring wire, 2. Diameters of the spring, 3. Number of turns of the spring, and 4. Free length of the spring. The compression of the spring at the maximum load is 30 mm. The modulus of rigidity for the spring material may be taken as 80 kN/mm2.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.5.31P

See similar textbooks

Similar questions

A helical compression spring is 1o exert a force of 8.0 Ib when compressed 1o a length of 1.75 in. At a length of 1.25 in, the force must be 12.0 Ib. The spring will be installed in a machine that cycles slowly. and approximately 200 000 cycles total are expected. The tem- perature will not exceed 200°F. The spring will be installed in a hole having a diameter of 0.75 in. For this application. specify a suitable material, wire diameter. mean diameter. OD. ID. free length, solid length. number of coils, and type of end condition. Check the stress at the maximum operating load and at the solid length condition. The first of two solution procedures will be shown. The numbered steps can be used as a guide for future problems and as a Kind of algorithm for the spreadsheet approach that follows the manual solution.
Calculate the wire diameter of a helical spring using Wahl's factor if the load applied is 130 lb and spring index is 8, if the maximum shearing stress is 50 ksi.
Starting with a spring index of C = 10, design a compression coil spring of 302 stainless wire with squared ends. The spring deflects 50 mm when a force of 90 N is applied and closes to solid when ys is 60 mm. At closure, use a design factor of 1.2 guarding against yielding. Select the smallest diameter wire where wire diameters are available in 0.2-mm increments between 0.2 and 3.2 mm. For the design, specify the wire diameter, the inside and outside diameters of the coil, the spring rate, the total number of coils, the free length of the spring, the final factor of safety, and stability conditions.
(9) A Mercedes Benz gas engine valve spring should not exceed to a cylindrical space of 1¾-in in diameter. The spring index is 6.0 & the maximum load it will have to sustain is l00lb with corresponding deflection of ½-in. The spring is subjected to repeated loading & fatigue must be considered, a low working stress of 40,110psi will be used. Determine: (a) the diameter of wire based on commercial sizes; (b) the number of coils.
Find the number of active coils of a No. 10 wire Helical Spring index of 7, steady load with spring rate of 46.5 lb/in. maximum allowable stress is 70 ksi. The stiffness of a spring is 98 N/mm of axial compression. Find the Joules of work to increase the compression from 60 mm to 90 mm.
PROBLEM: 5 A helical valve spring is to be designed for an operating load range of 90N to 195N. The maximum deflection of the spring for this load range is 7.5 mm. Assuming a spring index of 9, a permissible shear stress of 550 N/mm2 for the material and the modulus of rigidity of 0.85x105 N/mm2. Determine the dimensions of the spring. (i.e. Diameter of the spring wire ,Mean coil diameter, Outer diameter of the spring, number of active turn and free length of the spring). Assume the spring coil is squared and ground.
A bushed pin type flexible coupling is used to transmit 10 kW power at 720 rpm. The design torque is 150% of rated torque. The keys have square cross-section. The permissible stresses are: For shaft and key material, τ = 66.67 N/mm2 , σc = 200 N/mm2 ; For pin material, τ = 35 N/mm2 , σt = 133 N/mm2 ; For flange material τ = 16.67 N/mm2 . The permissible bearing pressure for rubber bushes is 1 N/mm2. The number of bushes is 4. Design the bushed pin flexible coupling. Explain Axle, Spindle, Counter shaft and line-shaft with their examples .
A bushed pin type flexible coupling is used to transmit 10 kW power at 720 rpm. The design torque is 150% of rated torque. The keys have square cross-section. The permissible stresses are: For shaft and key material, τ = 66.67 N/mm2, σc = 200 N/mm2; For pin material, τ = 35 N/mm2, σt = 133 N/mm2; For flange material τ = 16.67 N/mm2. The permissible bearing pressure for rubber bushes is 1 N/mm2. The number of bushes is 4. Design the bushed pin flexible coupling.
Design an infinite-life helical coil extension spring with full end loops and generous loop-bend radii for a minimum load Fmin of 8 lbf and a maximum load Fmax of 16 lbf, with an accompanying stretch of ¼ in. The spring is for a food-service equipment and must be stainless steel. The outside diameter of the coil cannot exceed 1 in, and the free length cannot exceed 2.5 in. Using a fatigue design factor of nf = 2, complete the design. Use the Gerber criterion with Table 10-8.
3. A close coil helical spring is to have a mean coil diameter to wire diameter ratio of 10:1 to. The stiffness of the spring is to be 20 N/mm. The spring will carry an axial load of 500 N and the maximum shearing stress is not to exceed 80 MPa. Calculate the diameter of wire and coil, number of coils and the deflection under the Load. (G = 84 GPa).
Design a close coiled helical compression spring for a service load rangingfrom 2500 N to 3000 N. The axial deflection of the spring for the load range is 5 mm. Assume aspring index of 4. The permissible shear stress intensity is 450 MPa and modulus of rigidity,G = 84 kN/mm2.
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