FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring Formula

GoMean Radius of Spring Coil given Maximum Shear Stress Induced in Wire Formula

GoMean Radius of Spring Coil Formula

Fx Copy

LaTeX Copy

Mean Radius Spring Coil is the mean radius of the coils of spring. Check FAQs

R = {(\frac{G \cdot d^{4}}{64 \cdot k \cdot N})}^{\frac{1}{3}}

R - Mean Radius Spring Coil?G - Modulus of Rigidity of Spring?d - Diameter of Spring Wire?k - Stiffness of Helical Spring?N - Number of Coils?

Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring Example

With values

With units

Only example

Here is how the Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring equation looks like with Values.

Here is how the Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring equation looks like with Units.

Here is how the Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring equation looks like.

26.703 = {(\frac{4 \cdot 26^{4}}{64 \cdot 0.75 \cdot 2})}^{\frac{1}{3}}

26.703mm = {(\frac{4MPa \cdot {26mm}^{4}}{64 \cdot 0.75kN/m \cdot 2})}^{\frac{1}{3}}

26.703 = {(\frac{4 \cdot 26^{4}}{64 \cdot 0.75 \cdot 2})}^{\frac{1}{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring

Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring Solution

Follow our step by step solution on how to calculate Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring?

FIRST Step Consider the formula

R = {(\frac{G \cdot d^{4}}{64 \cdot k \cdot N})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

R = {(\frac{4MPa \cdot {26mm}^{4}}{64 \cdot 0.75kN/m \cdot 2})}^{\frac{1}{3}}

Next Step Convert Units

∴

R = {(\frac{4E+6Pa \cdot {0.026m}^{4}}{64 \cdot 750N/m \cdot 2})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

R = {(\frac{4E+6 \cdot {0.026}^{4}}{64 \cdot 750 \cdot 2})}^{\frac{1}{3}}

Next Step Evaluate

∴

R = 0.0267030406402458m

Next Step Convert to Output's Unit

∴

R = 26.7030406402458mm

LAST Step Rounding Answer

∴

R = 26.703mm

Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring Formula Elements

Variables

Mean Radius Spring Coil

Mean Radius Spring Coil is the mean radius of the coils of spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius Spring Coil

Modulus of Rigidity of Spring

Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.

Symbol: G

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Spring

Diameter of Spring Wire

Diameter of spring wire is the diameter length of spring wire.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring Wire

Stiffness of Helical Spring

Stiffness of Helical Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

Symbol: k

Measurement: Surface TensionUnit: kN/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Helical Spring

Number of Coils

The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Coils

Other Formulas to find Mean Radius Spring Coil

Go Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire

R = \frac{𝜏 w \cdot π \cdot d^{3}}{16 \cdot P}

Go Mean Radius of Spring Coil

R = \frac{D}{P}

Other formulas in Mean Radius of Spring category

Go Compressed Length of Coil Spring

L c = L + G A

Go Total Axial Gap between Coils of Spring

G A = (N t - 1) \cdot G m

Go Pitch of Coil Spring

p = \frac{L f}{N t - 1}

Go Wire Diameter of Inner Spring given Wire Diameter of Outer Spring and Spring Index

d 2 = (\frac{C}{C - 2}) \cdot d 1

How to Evaluate Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring?

Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring evaluator uses Mean Radius Spring Coil = ((Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Stiffness of Helical Spring*Number of Coils))^(1/3) to evaluate the Mean Radius Spring Coil, The Mean radius of spring coil of helical spring given stiffness of spring formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Mean Radius Spring Coil is denoted by R symbol.

How to evaluate Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring using this online evaluator? To use this online evaluator for Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring, enter Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Stiffness of Helical Spring (k) & Number of Coils (N) and hit the calculate button.

FAQs on Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring

What is the formula to find Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring?

The formula of Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring is expressed as Mean Radius Spring Coil = ((Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Stiffness of Helical Spring*Number of Coils))^(1/3). Here is an example- 1.8E+6 = ((4000000*0.026^4)/(64*750*2))^(1/3).

How to calculate Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring?

With Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Stiffness of Helical Spring (k) & Number of Coils (N) we can find Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring using the formula - Mean Radius Spring Coil = ((Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Stiffness of Helical Spring*Number of Coils))^(1/3).

What are the other ways to Calculate Mean Radius Spring Coil?

Here are the different ways to Calculate Mean Radius Spring Coil-

Mean Radius Spring Coil=(Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load)
Mean Radius Spring Coil=Twisting Moments on Shells/Axial Load

Can the Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring be negative?

No, the Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring, measured in Length cannot be negative.

Which unit is used to measure Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring?

Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring Formula

​GoMean Radius of Spring Coil given Maximum Shear Stress Induced in Wire Formula

​GoMean Radius of Spring Coil Formula

Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring Example

Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring Solution

Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring Formula Elements

Other Formulas to find Mean Radius Spring Coil

Other formulas in Mean Radius of Spring category

How to Evaluate Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring?

FAQs on Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring

Variable Name

GoMean Radius of Spring Coil given Maximum Shear Stress Induced in Wire Formula

GoMean Radius of Spring Coil Formula