Stress Concentration Factor given Bending Stress in Spring Calculator

✖Bending Stress in Torsion Spring is the stress caused by twisting force in a helical torsion spring, affecting its structural integrity and performance.ⓘ Bending Stress in Torsion Spring [σb_t]			+10% -10%
✖Diameter of spring wire is the diameter of the wire used in a helical torsion spring, which affects the spring's stiffness and load-carrying capacity.ⓘ Diameter of spring wire [d]			+10% -10%
✖Bending moment in spring is the rotational force that causes the helical torsion spring to twist or deform around its axis.ⓘ Bending moment in spring [M_b]			+10% -10%

✖Wahl Factor of Spring is a dimensionless parameter that characterizes the geometry and stiffness of helical torsion springs, influencing their mechanical behavior.ⓘ Stress Concentration Factor given Bending Stress in Spring [K]

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Stress Concentration Factor given Bending Stress in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wahl Factor of Spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(32*Bending moment in spring)
K = σb_t*(pi*d^3)/(32*M_b)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Wahl Factor of Spring - Wahl Factor of Spring is a dimensionless parameter that characterizes the geometry and stiffness of helical torsion springs, influencing their mechanical behavior.
Bending Stress in Torsion Spring - (Measured in Pascal) - Bending Stress in Torsion Spring is the stress caused by twisting force in a helical torsion spring, affecting its structural integrity and performance.
Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the diameter of the wire used in a helical torsion spring, which affects the spring's stiffness and load-carrying capacity.
Bending moment in spring - (Measured in Newton Meter) - Bending moment in spring is the rotational force that causes the helical torsion spring to twist or deform around its axis.

STEP 1: Convert Input(s) to Base Unit

Bending Stress in Torsion Spring: 800.0002 Newton per Square Millimeter --> 800000200 Pascal (Check conversion here)
Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)
Bending moment in spring: 4325 Newton Millimeter --> 4.325 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = σb_t*(pi*d^3)/(32*M_b) --> 800000200*(pi*0.004^3)/(32*4.325)

Evaluating ... ...

K = 1.16220797742907

STEP 3: Convert Result to Output's Unit

1.16220797742907 --> No Conversion Required

FINAL ANSWER

1.16220797742907 ≈ 1.162208 <-- Wahl Factor of Spring

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Helical Torsion Springs Calculators

Diameter of Spring Wire given Bending Stress in Spring

LaTeX Go Diameter of spring wire = (Wahl Factor of Spring*32*Bending moment in spring/(pi*Bending Stress in Torsion Spring))^(1/3)

Stress Concentration Factor given Bending Stress in Spring

LaTeX Go Wahl Factor of Spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(32*Bending moment in spring)

Bending Moment applied on Spring given Bending Stress

LaTeX Go Bending moment in spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*32)

Bending Stress in Spring

LaTeX Go Bending Stress in Torsion Spring = Wahl Factor of Spring*32*Bending moment in spring/(pi*Diameter of spring wire^3)

Stress Concentration Factor given Bending Stress in Spring Formula

LaTeX Go

Wahl Factor of Spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(32*Bending moment in spring)
K = σb_t*(pi*d^3)/(32*M_b)

Define Stress Concentration Factor?

Stress concentration factor is defined as the ratio of peak stress in the body to a reference stress, where the stress σmax is the maximum stress at the tip notch, and σnom nominal stress is the same stress at the same point without the notch.

How to Calculate Stress Concentration Factor given Bending Stress in Spring?

Stress Concentration Factor given Bending Stress in Spring calculator uses Wahl Factor of Spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(32*Bending moment in spring) to calculate the Wahl Factor of Spring, Stress Concentration Factor given Bending Stress in Spring formula is defined as a dimensionless quantity that amplifies the nominal stress in a helical spring, taking into account the bending stress and spring geometry, providing a more accurate prediction of the spring's behavior under load. Wahl Factor of Spring is denoted by K symbol.

How to calculate Stress Concentration Factor given Bending Stress in Spring using this online calculator? To use this online calculator for Stress Concentration Factor given Bending Stress in Spring, enter Bending Stress in Torsion Spring (σb_t), Diameter of spring wire (d) & Bending moment in spring (M_b) and hit the calculate button. Here is how the Stress Concentration Factor given Bending Stress in Spring calculation can be explained with given input values -> 1.162587 = 800000200*(pi*0.004^3)/(32*4.325).

FAQ

What is Stress Concentration Factor given Bending Stress in Spring?

Stress Concentration Factor given Bending Stress in Spring formula is defined as a dimensionless quantity that amplifies the nominal stress in a helical spring, taking into account the bending stress and spring geometry, providing a more accurate prediction of the spring's behavior under load and is represented as K = σb_t*(pi*d^3)/(32*M_b) or Wahl Factor of Spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(32*Bending moment in spring). Bending Stress in Torsion Spring is the stress caused by twisting force in a helical torsion spring, affecting its structural integrity and performance, Diameter of spring wire is the diameter of the wire used in a helical torsion spring, which affects the spring's stiffness and load-carrying capacity & Bending moment in spring is the rotational force that causes the helical torsion spring to twist or deform around its axis.

How to calculate Stress Concentration Factor given Bending Stress in Spring?

Stress Concentration Factor given Bending Stress in Spring formula is defined as a dimensionless quantity that amplifies the nominal stress in a helical spring, taking into account the bending stress and spring geometry, providing a more accurate prediction of the spring's behavior under load is calculated using Wahl Factor of Spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(32*Bending moment in spring). To calculate Stress Concentration Factor given Bending Stress in Spring, you need Bending Stress in Torsion Spring (σb_t), Diameter of spring wire (d) & Bending moment in spring (M_b). With our tool, you need to enter the respective value for Bending Stress in Torsion Spring, Diameter of spring wire & Bending moment in spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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