A safety valve, 11 mm in diameter, is to blow off at a pressure of 1.5 MPa. It is held on its seat by means of a helical compression spring, with initial compression of 16 mm. The maximum lift of the valve is 27 mm. The ratio of mean coil diameter to wire diameter is 5. The spring is made of cold drawn steel wire with ultimate tensile strength of 1400 MPa. (G = 81 370 N/mm2), Calculate: i. Wire diameter; ii. Mean coil diameter iii. Number of active coils

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
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A safety valve, 11 mm in diameter, is to blow off at a pressure of 1.5 MPa. It is held on its
seat by means of a helical compression spring, with initial compression of 16 mm. The
maximum lift of the valve is 27 mm. The ratio of mean coil diameter to wire diameter is
5. The spring is made of cold drawn steel wire with ultimate tensile strength of 1400 MPa. (G = 81 370 N/mm2), Calculate:
i. Wire diameter;
ii. Mean coil diameter
iii. Number of active coils
iv. Free length
v. Pitch
vi. Actual spring constant
vii. Required Stiffness

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