Spring Index given Mean Stress on spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Spring Index = Mean Shear Stress in Spring*(pi*Diameter of spring wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force)
C = σm*(pi*d^2)/(8*Ks*Pm)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Spring Index - Spring Index is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire.
Mean Shear Stress in Spring - (Measured in Pascal) - Mean Shear Stress in Spring is defined as the amount of mean stress acting when spring is subjected to fluctuating stress.
Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the diameter of the wire of which a spring is made.
Shear Stress Correction Factor of Spring - Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium.
Mean Spring Force - (Measured in Newton) - Mean Spring Force is defined as the average of the maximum force and the minimum force of the fluctuating forces on the spring or by the spring.
STEP 1: Convert Input(s) to Base Unit
Mean Shear Stress in Spring: 156 Newton per Square Millimeter --> 156000000 Pascal (Check conversion here)
Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)
Shear Stress Correction Factor of Spring: 1.08 --> No Conversion Required
Mean Spring Force: 101.2 Newton --> 101.2 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = σm*(pi*d^2)/(8*Ks*Pm) --> 156000000*(pi*0.004^2)/(8*1.08*101.2)
Evaluating ... ...
C = 8.96809497072185
STEP 3: Convert Result to Output's Unit
8.96809497072185 --> No Conversion Required
FINAL ANSWER
8.96809497072185 8.968095 <-- Spring Index
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 1000+ more calculators!
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1900+ more calculators!

22 Design Against Fluctuating Load Calculators

Diameter of Spring Wire given Torsional Stress Amplitude
Go Diameter of spring wire = (8*Shear Stress Correction Factor of Spring*Spring Force Amplitude*Mean Coil Diameter of Spring/(pi*Torsional Stress Amplitude in Spring))^(1/3)
Mean Coil Diameter of Spring given Torsional Stress Amplitude
Go Mean Coil Diameter of Spring = Torsional Stress Amplitude in Spring*(pi*Diameter of spring wire^3)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude)
Force Amplitude on Spring given Torsional Stress Amplitude
Go Spring Force Amplitude = Torsional Stress Amplitude in Spring*(pi*Diameter of spring wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Coil Diameter of Spring)
Torsional Stress Amplitude in Spring
Go Torsional Stress Amplitude in Spring = 8*Shear Stress Correction Factor of Spring*Spring Force Amplitude*Mean Coil Diameter of Spring/(pi*Diameter of spring wire^3)
Diameter of Spring Wire given Mean Stress in Spring
Go Diameter of spring wire = (8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Mean Shear Stress in Spring))^(1/3)
Mean Diameter of Spring coil given Mean Stress on Spring
Go Mean Coil Diameter of Spring = (Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force))
Shear Stress Correction Factor for Spring given Mean Stress
Go Shear Stress Correction Factor of Spring = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Mean Spring Force*Mean Coil Diameter of Spring)
Mean Force on Spring given Mean Stress
Go Mean Spring Force = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Coil Diameter of Spring)
Spring Index given Torsional Stress Amplitude
Go Spring Index = Torsional Stress Amplitude in Spring*(pi*Diameter of spring wire^2)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude)
Mean Stress on Spring
Go Mean Shear Stress in Spring = 8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Diameter of spring wire^3)
Shear Stress Factor for Spring given Torsional stress amplitude
Go Wahl Factor of Spring = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Spring Force Amplitude*Mean Coil Diameter of Spring)
Spring Index given Mean Stress on spring
Go Spring Index = Mean Shear Stress in Spring*(pi*Diameter of spring wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force)
Force Amplitude of Spring
Go Spring Force Amplitude = .5*(Maximum Force of Spring-Minimum Force of Spring)
Minimum Force on Spring given Force Amplitude
Go Minimum Force of Spring = Maximum Force of Spring-(2*Spring Force Amplitude)
Maximum Force on Spring given Force Amplitude
Go Maximum Force of Spring = 2*Spring Force Amplitude+Minimum Force of Spring
Mean Force on spring
Go Mean Spring Force = (Minimum Force of Spring+Maximum Force of Spring)/2
Maximum Force on Spring given Mean Force
Go Maximum Force of Spring = 2*Mean Spring Force-Minimum Force of Spring
Minimum Force on Spring given Mean Force
Go Minimum Force of Spring = 2*Mean Spring Force-Maximum Force of Spring
Ultimate Tensile Stress of Patented and Cold drawn Steel wires
Go Ultimate tensile strength of spring = Shear yield strength of spring wire/0.42
Shear Yield Strength of Patented and Cold-drawn Steel Wires
Go Shear yield strength of spring wire = 0.42*Ultimate tensile strength of spring
Ultimate Tensile Stress of Ol hardened tempered Steel wires
Go Ultimate tensile strength of spring = Shear yield strength of spring wire/0.45
Shear Yield Strength of Oil-hardened Tempered Steel Wires
Go Shear yield strength of spring wire = 0.45*Ultimate tensile strength of spring

Spring Index given Mean Stress on spring Formula

Spring Index = Mean Shear Stress in Spring*(pi*Diameter of spring wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force)
C = σm*(pi*d^2)/(8*Ks*Pm)

Define Spring Index?

The spring index is the relationship between the mean diameter and wire diameter. Springs with small indexes increase tooling wear and are more likely to require additional processing steps to ensure adequate life. Large index springs often require additional tolerance on both diameter and length.

How to Calculate Spring Index given Mean Stress on spring?

Spring Index given Mean Stress on spring calculator uses Spring Index = Mean Shear Stress in Spring*(pi*Diameter of spring wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force) to calculate the Spring Index, The Spring Index given Mean Stress on spring formula is defined as the ratio of the mean coil diameter of the spring and diameter of the spring wire. Spring Index is denoted by C symbol.

How to calculate Spring Index given Mean Stress on spring using this online calculator? To use this online calculator for Spring Index given Mean Stress on spring, enter Mean Shear Stress in Spring m), Diameter of spring wire (d), Shear Stress Correction Factor of Spring (Ks) & Mean Spring Force (Pm) and hit the calculate button. Here is how the Spring Index given Mean Stress on spring calculation can be explained with given input values -> 8.968095 = 156000000*(pi*0.004^2)/(8*1.08*101.2).

FAQ

What is Spring Index given Mean Stress on spring?
The Spring Index given Mean Stress on spring formula is defined as the ratio of the mean coil diameter of the spring and diameter of the spring wire and is represented as C = σm*(pi*d^2)/(8*Ks*Pm) or Spring Index = Mean Shear Stress in Spring*(pi*Diameter of spring wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force). Mean Shear Stress in Spring is defined as the amount of mean stress acting when spring is subjected to fluctuating stress, Diameter of spring wire is the diameter of the wire of which a spring is made, Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium & Mean Spring Force is defined as the average of the maximum force and the minimum force of the fluctuating forces on the spring or by the spring.
How to calculate Spring Index given Mean Stress on spring?
The Spring Index given Mean Stress on spring formula is defined as the ratio of the mean coil diameter of the spring and diameter of the spring wire is calculated using Spring Index = Mean Shear Stress in Spring*(pi*Diameter of spring wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force). To calculate Spring Index given Mean Stress on spring, you need Mean Shear Stress in Spring m), Diameter of spring wire (d), Shear Stress Correction Factor of Spring (Ks) & Mean Spring Force (Pm). With our tool, you need to enter the respective value for Mean Shear Stress in Spring, Diameter of spring wire, Shear Stress Correction Factor of Spring & Mean Spring Force and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Spring Index?
In this formula, Spring Index uses Mean Shear Stress in Spring, Diameter of spring wire, Shear Stress Correction Factor of Spring & Mean Spring Force. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Spring Index = Torsional Stress Amplitude in Spring*(pi*Diameter of spring wire^2)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!