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Source: HANDBOOK OF MECHANICAL ENGINEERING CALCULATIONS SECTION 23 SPRING SELECTION AND ANALYSIS Proportioning Helical Springs by Minimum Weight 23.1 Determining Safe Torsional Stress for a Helical Spring 23.3 Designing a Spring with a Specific Number of Coils 23.4 Determining Spring Dimensions Before and After Load Applications 23.5 Analysis and Design of Flat Metal Springs 23.6 Sizing Torsional Leaf Springs 23.7 Designing a Spring to Fire a Projectile 23.12 Spring Support of Machinery to Control Vibration Forces 23.13 Spring Selection for a Known Load and Deflection 23.14 Spring Wire Length and Weight 23.15 Helical Compression and Tension Spring Analysis 23.16 Selection of Helical Compression and Tension. | Source HANDBOOK OF MECHANICAL ENGINEERING CALCULATIONS SECTION 23_ SPRING SELECTION AND ANALYSIS Proportioning Helical Springs by Minimum Weight 23.1 Determining Safe Torsional Stress for a Helical Spring 23.3 Designing a Spring with a Specific Number of Coils 23.4 Determining Spring Dimensions Before and After Load Applications 23.5 Analysis and Design of Flat Metal Springs 23.6 Sizing Torsional Leaf Springs 23.7 Designing a Spring to Fire a Projectile 23.12 Spring Support of Machinery to Control Vibration Forces 23.13 Spring Selection for a Known Load and Deflection 23.14 Spring Wire Length and Weight 23.15 Helical Compression and Tension Spring Analysis 23.16 Selection of Helical Compression and Tension Springs 23.17 Sizing Helical Springs for Optimum Dimensions and Weight 23.19 Selection of Square- and Rectangular- Wire Helical Springs 23.20 Curved Spring Design Analysis 23.21 Round- and Square-Wire Helical Torsion- Spring Selection 23.23 Torsion-Bar Spring Analysis 23.26 Multirate Helical Spring Analysis 23.27 Belleville Spring Analysis for Smallest Diameter 23.28 Belleville Spring Computations for Disk Deflection Load and Number 23.30 Ring-Spring Design Analysis 23.32 Liquid-Spring Selection 23.34 Selection of Air-Snubber Dashpot Dimensions 23.37 Design Analysis of Flat Reinforced- Plastic Springs 23.39 Life of Cyclically Loaded Mechanical Springs 23.42 Shock-Mount Deflection and Spring Rate 23.43 PROPORTIONING HELICAL SPRINGS BY MINIMUM WEIGHT The detent helical spring in Fig. 1 is to be designed so that force P1 for the extended condition is to be 20 lb 88.9 N . After an additional compression of 0.625 in 1.59 cm the shearing stress in the spring is to be 75 000 lb in2 517 MPa . The spring index c is approximately 8 based on past experience and the modulus of elasticity in shear is 11 500 000 lb in2 79.2 GPa . Find the diameter of the wire helix radius and number of active coils for the smallest amount of material in the spring. Calculation .