Number of Spring Coils given Stiffness of Square Section Wire Spring Calculator

✖Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.ⓘ Modulus of Rigidity [G_Torsion]			+10% -10%
✖Diameter of Spring wire is the diameter of the wire from which a spring is made.ⓘ Diameter of Spring [d]			+10% -10%
✖The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.ⓘ Mean Radius [R]			+10% -10%
✖Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.ⓘ Stiffness of Spring [K]			+10% -10%

✖Number of Spring Coils of Sq. Sec. Wire Spring is the total count of helical turns in a compression or extension spring made from wire with a square cross-section.ⓘ Number of Spring Coils given Stiffness of Square Section Wire Spring [N_sq]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Stiffness Formulas PDF PDF Image

Number of Spring Coils given Stiffness of Square Section Wire Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Spring Coils of Sq. Sec. Wire Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Stiffness of Spring)
N_sq = (G_Torsion*d^4)/(44.7*R^3*K)
This formula uses 5 Variables

Variables Used

Number of Spring Coils of Sq. Sec. Wire Spring - Number of Spring Coils of Sq. Sec. Wire Spring is the total count of helical turns in a compression or extension spring made from wire with a square cross-section.
Modulus of Rigidity - (Measured in Pascal) - Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.
Diameter of Spring - (Measured in Meter) - Diameter of Spring wire is the diameter of the wire from which a spring is made.
Mean Radius - (Measured in Meter) - The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.
Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

STEP 1: Convert Input(s) to Base Unit

Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (Check conversion here)
Diameter of Spring: 45 Millimeter --> 0.045 Meter (Check conversion here)
Mean Radius: 225 Millimeter --> 0.225 Meter (Check conversion here)
Stiffness of Spring: 25 Newton per Millimeter --> 25000 Newton per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_sq = (G_Torsion*d^4)/(44.7*R^3*K) --> (40000000000*0.045^4)/(44.7*0.225^3*25000)

Evaluating ... ...

N_sq = 12.8859060402685

STEP 3: Convert Result to Output's Unit

12.8859060402685 --> No Conversion Required

FINAL ANSWER

12.8859060402685 ≈ 12.88591 <-- Number of Spring Coils of Sq. Sec. Wire Spring

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Strength of Materials » Spring » Stiffness » Square Section Wire » Number of Spring Coils given Stiffness of Square Section Wire Spring

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< Square Section Wire Calculators

Mean Radius given Stiffness of Square Section Wire Spring

LaTeX Go Mean Radius of Square Section Wire Spring = ((Modulus of Rigidity*Diameter of Spring^4)/(44.7*Number of Coils*Stiffness of Spring))^(1/3)

Number of Spring Coils given Stiffness of Square Section Wire Spring

LaTeX Go Number of Spring Coils of Sq. Sec. Wire Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Stiffness of Spring)

Modulus of Rigidity given Stiffness of Square Section Wire Spring

LaTeX Go Modulus of Rigidity of Square Section Wire Spring = (Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Diameter of Spring^4

Width given Stiffness of Square Section Wire Spring

LaTeX Go Width of Square Section Wire Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4)

Number of Spring Coils given Stiffness of Square Section Wire Spring Formula

LaTeX Go

Number of Spring Coils of Sq. Sec. Wire Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Stiffness of Spring)
N_sq = (G_Torsion*d^4)/(44.7*R^3*K)

What is Spring?

A Spring is an elastic object that stores mechanical energy. Springs are typically made of spring steel. There are many spring designs. In everyday use, the term often refers to coil springs.

How to Calculate Number of Spring Coils given Stiffness of Square Section Wire Spring?

Number of Spring Coils given Stiffness of Square Section Wire Spring calculator uses Number of Spring Coils of Sq. Sec. Wire Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Stiffness of Spring) to calculate the Number of Spring Coils of Sq. Sec. Wire Spring, The Number of Spring Coils given Stiffness of Square Section Wire Spring formula is defined as the total count of helical turns in a compression or extension spring made from wire with a square cross-section. Number of Spring Coils of Sq. Sec. Wire Spring is denoted by N_sq symbol.

How to calculate Number of Spring Coils given Stiffness of Square Section Wire Spring using this online calculator? To use this online calculator for Number of Spring Coils given Stiffness of Square Section Wire Spring, enter Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Mean Radius (R) & Stiffness of Spring (K) and hit the calculate button. Here is how the Number of Spring Coils given Stiffness of Square Section Wire Spring calculation can be explained with given input values -> 12.88591 = (40000000000*0.045^4)/(44.7*0.225^3*25000).

FAQ

What is Number of Spring Coils given Stiffness of Square Section Wire Spring?

The Number of Spring Coils given Stiffness of Square Section Wire Spring formula is defined as the total count of helical turns in a compression or extension spring made from wire with a square cross-section and is represented as N_sq = (G_Torsion*d^4)/(44.7*R^3*K) or Number of Spring Coils of Sq. Sec. Wire Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Stiffness of Spring). Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G, Diameter of Spring wire is the diameter of the wire from which a spring is made, The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring & Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

How to calculate Number of Spring Coils given Stiffness of Square Section Wire Spring?

The Number of Spring Coils given Stiffness of Square Section Wire Spring formula is defined as the total count of helical turns in a compression or extension spring made from wire with a square cross-section is calculated using Number of Spring Coils of Sq. Sec. Wire Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Stiffness of Spring). To calculate Number of Spring Coils given Stiffness of Square Section Wire Spring, you need Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Mean Radius (R) & Stiffness of Spring (K). With our tool, you need to enter the respective value for Modulus of Rigidity, Diameter of Spring, Mean Radius & Stiffness of Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search