Bending Moment due to Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bending moment in spiral spring = Force on spiral spring*Distance of CG of Spiral Spring
M = P*r
This formula uses 3 Variables
Variables Used
Bending moment in spiral spring - (Measured in Newton Meter) - Bending moment in spiral spring is the reaction induced in a spiral spring when an external force or moment is applied to the element, causing the element to bend.
Force on spiral spring - (Measured in Newton) - Force on spiral spring is the pulling force acting onto the end of a spiral spring.
Distance of CG of Spiral Spring - (Measured in Meter) - The Distance of CG of Spiral Spring from Outer End is the distance between the spiral's outer end strip and the center of gravity of the spiral.
STEP 1: Convert Input(s) to Base Unit
Force on spiral spring: 22 Newton --> 22 Newton No Conversion Required
Distance of CG of Spiral Spring: 55 Millimeter --> 0.055 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
M = P*r --> 22*0.055
Evaluating ... ...
M = 1.21
STEP 3: Convert Result to Output's Unit
1.21 Newton Meter -->1210 Newton Millimeter (Check conversion here)
FINAL ANSWER
1210 Newton Millimeter <-- Bending moment in spiral spring
(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
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8 Bending Moment in Spiral Spring Calculators

Bending Moment due to Force given Deflection of one End of Spring
Go Bending moment in spiral spring = (Deflection of Spiral Spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3)/(12*Length of Spiral Spring Strip*Distance of CG of Spiral Spring)
Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring
Go Distance of CG of Spiral Spring = Deflection of Spiral Spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(12*Bending moment in spiral spring*Length of Spiral Spring Strip)
Deflection of one End of Spring with Respect to Other End
Go Deflection of Spiral Spring = 12*Bending moment in spiral spring*Length of Spiral Spring Strip*Distance of CG of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3)
Bending Moment given Strain Energy Stored in Spring
Go Bending moment in spiral spring = sqrt(Strain energy in spiral spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(6*Length of Spiral Spring Strip))
Bending Moment due to Force given Angle of Rotation of Arbor with Respect to Drum
Go Bending moment in spiral spring = Angle of rotation of arbor*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(12*Length of Spiral Spring Strip)
Bending Moment due to Force given Bending Stress induced in Spring
Go Bending moment in spiral spring = Bending Stress in Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^2/12
Distance of centre of Gravity of Spiral from outer end given Bending Moment due to Force
Go Distance of CG of Spiral Spring = Bending moment in spiral spring/Force on spiral spring
Bending Moment due to Force
Go Bending moment in spiral spring = Force on spiral spring*Distance of CG of Spiral Spring

Bending Moment due to Force Formula

Bending moment in spiral spring = Force on spiral spring*Distance of CG of Spiral Spring
M = P*r

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 due to Force?

Bending Moment due to Force calculator uses Bending moment in spiral spring = Force on spiral spring*Distance of CG of Spiral Spring to calculate the Bending moment in spiral spring, The Bending Moment due to Force formula is defined as reaction induced in a structural element when external force or moment is applied to element, causing element to bend. Bending moment in spiral spring is denoted by M symbol.

How to calculate Bending Moment due to Force using this online calculator? To use this online calculator for Bending Moment due to Force, enter Force on spiral spring (P) & Distance of CG of Spiral Spring (r) and hit the calculate button. Here is how the Bending Moment due to Force calculation can be explained with given input values -> 1.2E+6 = 22*0.055.

FAQ

What is Bending Moment due to Force?
The Bending Moment due to Force formula is defined as reaction induced in a structural element when external force or moment is applied to element, causing element to bend and is represented as M = P*r or Bending moment in spiral spring = Force on spiral spring*Distance of CG of Spiral Spring. Force on spiral spring is the pulling force acting onto the end of a spiral spring & The Distance of CG of Spiral Spring from Outer End is the distance between the spiral's outer end strip and the center of gravity of the spiral.
How to calculate Bending Moment due to Force?
The Bending Moment due to Force formula is defined as reaction induced in a structural element when external force or moment is applied to element, causing element to bend is calculated using Bending moment in spiral spring = Force on spiral spring*Distance of CG of Spiral Spring. To calculate Bending Moment due to Force, you need Force on spiral spring (P) & Distance of CG of Spiral Spring (r). With our tool, you need to enter the respective value for Force on spiral spring & Distance of CG of Spiral Spring 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 Bending moment in spiral spring?
In this formula, Bending moment in spiral spring uses Force on spiral spring & Distance of CG of Spiral Spring. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Bending moment in spiral spring = Angle of rotation of arbor*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(12*Length of Spiral Spring Strip)
  • Bending moment in spiral spring = (Deflection of Spiral Spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3)/(12*Length of Spiral Spring Strip*Distance of CG of Spiral Spring)
  • Bending moment in spiral spring = sqrt(Strain energy in spiral spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(6*Length of Spiral Spring Strip))
  • Bending moment in spiral spring = Bending Stress in Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^2/12
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