Bending Moment applied on Spring given Bending Stress 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%
✖Wahl Factor of Spring is a dimensionless parameter that characterizes the geometry and stiffness of helical torsion springs, influencing their mechanical behavior.ⓘ Wahl Factor of Spring [K]			+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 applied on Spring given Bending Stress [M_b]

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Bending Moment applied on Spring given Bending Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

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)
Wahl Factor of Spring: 1.162208 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = σb_t*(pi*d^3)/(K*32) --> 800000200*(pi*0.004^3)/(1.162208*32)

Evaluating ... ...

M_b = 4.32499991600534

STEP 3: Convert Result to Output's Unit

4.32499991600534 Newton Meter -->4324.99991600534 Newton Millimeter (Check conversion here)

FINAL ANSWER

4324.99991600534 ≈ 4325 Newton Millimeter <-- Bending moment in spring

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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)

Bending Moment applied on Spring given Bending Stress Formula

LaTeX Go

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

Define Bending Moment?

In solid mechanics, a bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. The most common or simplest structural element subjected to bending moments is the beam.

How to Calculate Bending Moment applied on Spring given Bending Stress?

Bending Moment applied on Spring given Bending Stress calculator uses Bending moment in spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*32) to calculate the Bending moment in spring, Bending Moment applied on Spring given Bending Stress formula is defined as a measure of the twisting force that causes the spring to deform, which is essential in determining the spring's ability to withstand external loads and stresses in helical spring applications. Bending moment in spring is denoted by M_b symbol.

How to calculate Bending Moment applied on Spring given Bending Stress using this online calculator? To use this online calculator for Bending Moment applied on Spring given Bending Stress, enter Bending Stress in Torsion Spring (σb_t), Diameter of spring wire (d) & Wahl Factor of Spring (K) and hit the calculate button. Here is how the Bending Moment applied on Spring given Bending Stress calculation can be explained with given input values -> 4.3E+6 = 800000200*(pi*0.004^3)/(1.162208*32).

FAQ

What is Bending Moment applied on Spring given Bending Stress?

Bending Moment applied on Spring given Bending Stress formula is defined as a measure of the twisting force that causes the spring to deform, which is essential in determining the spring's ability to withstand external loads and stresses in helical spring applications and is represented as M_b = σb_t*(pi*d^3)/(K*32) or Bending moment in spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*32). 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 & Wahl Factor of Spring is a dimensionless parameter that characterizes the geometry and stiffness of helical torsion springs, influencing their mechanical behavior.

How to calculate Bending Moment applied on Spring given Bending Stress?

Bending Moment applied on Spring given Bending Stress formula is defined as a measure of the twisting force that causes the spring to deform, which is essential in determining the spring's ability to withstand external loads and stresses in helical spring applications is calculated using Bending moment in spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*32). To calculate Bending Moment applied on Spring given Bending Stress, you need Bending Stress in Torsion Spring (σb_t), Diameter of spring wire (d) & Wahl Factor of Spring (K). With our tool, you need to enter the respective value for Bending Stress in Torsion Spring, Diameter of spring wire & Wahl Factor of 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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