A closed coil helical spring is to deflect 1 mm under the axial load of 100 N at shearing of 90 N/mm2. The spring is to be made of round wire having rigidity modulus of 80 X 104 N/mm2. The mean diameter of the spring is to be 10 times the diameter of the wire. Find the diameter and length of the wire necessary to form the sprin

A closed coil helical spring is to deflect 1 mm under the axial load of 100 N at shearing of 90 N/mm2. The spring is to be made of round wire having rigidity modulus of 80 X 104 N/mm2. The mean diameter of the spring is to be 10 times the diameter of the wire. Find the diameter and length of the wire necessary to form the sprin

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 2.8.11P: A bumper for a mine car is constructed with a spring of stiffness k = 1120 lb/in. (see figure). If a...

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A bumper for a mine car is constructed with a spring of stiffness k = 1120 lb/in. (see figure). If a car weighing 3450 lb is traveling at velocity v = 7 mph when it strikes the spring, what is the maximum shortening of the spring?
In a compound helical spring, the inner spring is concentric with the outer spring, but is 9 mm shorter. The outer spring has ten coils of mean diameter 24 mm, and the wire diameter is 3 mm. Find the stiffness of the inner spring if an axial load of 150 N causes the outer spring to compress 18 mm. If the mean coil diameter for the inner spring is 15.94 mm, find the wire diameter of the inner spring when it has eight coils. Both the springs are made of the same material having G = 77 GPa.
A helical spring is made of 10 m diameter steel wire wound on a 100 mm diameter mandrel. If there are 10 active coils what is spring constant Take: C= 100 GPA What force must be applied to the spring to elongate it by 50 mm?
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.)
4. A vertical spring loaded valve is required for a compressed air receiver. The valve is to start opening at a pressure of 1 N/mm2 gauge and must be fully open with a lift of 4 mm at a pressure of 1.2 N/mm? gauge. The diameter of the port is 25 mm. Assume the allowable shear stress in steel as 480 MPa and shear modulus as 80 kN/mm. Design a suitable close coiled round section helical spring having squared ground ends. Also specify initial compression and free length of the spring.
- 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.
Design a helical spring to be used in spring balance with a wire diameter of 6mm and the outside diameter should be limited to 66mm. if the permissible shear stress of the spring material is 325 N/mm? and the Modulus of rigidity is 85kN/mm?. a) Compute the deflection of spring per active turn and the axial load on the spring considering the effect of curvature, take Wahl's factor as Kw= 1.1 b) Calculate the value of axial load neglecting the effect of stress factor. **Note: Please upload your handwritten working/solution to the link provided. The value of Mean diameter of the spring in mm . The Spring Index is. Shear stress factor, neglecting curvature effect . Deflection per active turn in mm Axial Load W in N .. Axial Load W in N. considering effect of curvature .
6. A closed coil vertical spring-loaded valve is required for a compressed air receiver. The valve is to start opening at a pressure of 1 MPa and must be fully open with a lift of 4 mm at a pressure of 1.2 MPa. The diameter of the port is 25 mm. Assume the allowable shear stress in steel as 480 MPa and shear modulus as 80 GPa. Design a suitable close coiled round section helical spring having squared ground ends. Also specify initial compression and free length of the spring.
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.
A hard-drawn steel wire extension spring has a wire diameter of 4mm, an outside coil diameter of 28 mm, and initial tension of 1200 N is applied to the spring. The spring shows an extension of 85 mm. The approximate number of turns is 25. From the given information: Determine the physical parameters of the spring such as mean diameter, spring index, maximum shear stress, total number of turns, Wahl’s stress factor, free length of the spring, and pitch of the coil
A close-coiled helical spring is subjected to an axial pull of 600 N. The spring is made out of a 16 mm diameter rod, and has 12 complete coils, each of mean diameter 120 mm. Compute shear stress induced in the rod and the deflection under the pull. Take G = 0.85 x 105 N/mm^2.
A close-coil helical spring is to have a stiffness of 1,000 N/m in compression, with a maximum load of 50 N and a maximum shearing stress of 125 N/mm². The solid length of the spring is 50 mm. Find the wire diameter, mean coil radius, and a number of coils. G= 54,000 N/mm². (Assume shear stress is produced only due to the torque produced in the wire due to axial loading).