Bending Stress in Spring Calculator

✖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 in spring [M_b]			+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 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 Spring [σb_t]

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Bending Stress in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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 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.
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.

STEP 1: Convert Input(s) to Base Unit

Wahl Factor of Spring: 1.162208 --> No Conversion Required
Bending moment in spring: 4325 Newton Millimeter --> 4.325 Newton Meter (Check conversion here)
Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σb_t = K*32*M_b/(pi*d^3) --> 1.162208*32*4.325/(pi*0.004^3)

Evaluating ... ...

σb_t = 800000215.536589

STEP 3: Convert Result to Output's Unit

800000215.536589 Pascal -->800.000215536589 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

800.000215536589 ≈ 800.0002 Newton per Square Millimeter <-- Bending Stress in Torsion Spring

(Calculation completed in 00.004 seconds)

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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

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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 Stress in Spring Formula

LaTeX Go

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

Define a Spring?

A spring is a mechanical component designed to store and release energy through deformation when subjected to a force. Typically made from materials like metal or plastic, springs can compress, extend, or twist, returning to their original shape when the force is removed. They come in various forms, such as coil (helical), leaf, and torsion springs, each serving specific functions in machinery, vehicles, and everyday devices. Springs are used to control motion, absorb shock, maintain tension, or provide force, playing a crucial role in mechanical systems for efficient energy management.

How to Calculate Bending Stress in Spring?

Bending Stress in Spring calculator uses Bending Stress in Torsion Spring = Wahl Factor of Spring*32*Bending moment in spring/(pi*Diameter of spring wire^3) to calculate the Bending Stress in Torsion Spring, Bending Stress in Spring formula is defined as a measure of the maximum stress that a helical spring can withstand without deforming plastically, which is critical in determining the spring's ability to resist bending forces and maintain its structural integrity in various mechanical applications. Bending Stress in Torsion Spring is denoted by σb_t symbol.

How to calculate Bending Stress in Spring using this online calculator? To use this online calculator for Bending Stress in Spring, enter Wahl Factor of Spring (K), Bending moment in spring (M_b) & Diameter of spring wire (d) and hit the calculate button. Here is how the Bending Stress in Spring calculation can be explained with given input values -> 0.0008 = 1.162208*32*4.325/(pi*0.004^3).

FAQ

What is Bending Stress in Spring?

Bending Stress in Spring formula is defined as a measure of the maximum stress that a helical spring can withstand without deforming plastically, which is critical in determining the spring's ability to resist bending forces and maintain its structural integrity in various mechanical applications and is represented as σb_t = K*32*M_b/(pi*d^3) or Bending Stress in Torsion Spring = Wahl Factor of Spring*32*Bending moment in spring/(pi*Diameter of spring wire^3). Wahl Factor of Spring is a dimensionless parameter that characterizes the geometry and stiffness of helical torsion springs, influencing their mechanical behavior, Bending moment in spring is the rotational force that causes the helical torsion spring to twist or deform around its axis & 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.

How to calculate Bending Stress in Spring?

Bending Stress in Spring formula is defined as a measure of the maximum stress that a helical spring can withstand without deforming plastically, which is critical in determining the spring's ability to resist bending forces and maintain its structural integrity in various mechanical applications is calculated using Bending Stress in Torsion Spring = Wahl Factor of Spring*32*Bending moment in spring/(pi*Diameter of spring wire^3). To calculate Bending Stress in Spring, you need Wahl Factor of Spring (K), Bending moment in spring (M_b) & Diameter of spring wire (d). With our tool, you need to enter the respective value for Wahl Factor of Spring, Bending moment in spring & Diameter of spring wire 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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