The image above represents deflection of coil of spring.

To compute for deflection of coil of spring, four essential parameters are needed and these parameters are **Force (F), Centre to Centre Diameter of Spring (D), Cross-section Diameter of Spring (d)** and **Shear Modulus (G).**

The formula for calculating deflection of coil of spring:

σ_{c} = ^{8FD³}/_{d4G}

Where:

σ_{c} = Deflection of Coil of Spring (G)

F = Force

D = Centre to Centre Diameter of Spring

d = Cross-section Diameter of Spring

G = Shear Modulus

Let’s solve an example;

Find the deflection of coil of spring when the force is 8, the centre to centre diameter of spring is 2, the cross-section diameter of spring is 4 and the shear modulus is 6.

This implies that;

F = Force = 8

D = Centre to Centre Diameter of Spring = 2

d = Cross-section Diameter of Spring = 4

G = Shear Modulus = 6

σ_{c} = ^{8FD³}/_{d4G}

σ_{c} = ^{8(8)(2)³}/_{(4)4(6)}

σ_{c} = ^{8(8)(8)}/_{(256)(6)}

σ_{c} = ^{512}/_{1536}

σ_{c} = 0.33

Therefore, the **deflection of coil of spring **is **0.33 m.**

Continue reading How to Calculate and Solve for Deflection of Coil of Spring | Material Selection