Span of Spring given Bending Moment at Center of Leaf Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Span of Spring = (2*Bending Moment in Spring)/Load at One End
l = (2*Mb)/L
This formula uses 3 Variables
Variables Used
Span of Spring - (Measured in Meter) - Span of spring is basically the expanded length of spring.
Bending Moment in Spring - (Measured in Newton Meter) - Bending Moment in Spring is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
Load at One End - (Measured in Newton) - Load at one end is is an equivalent load applied to a single point.
STEP 1: Convert Input(s) to Base Unit
Bending Moment in Spring: 5200 Newton Millimeter --> 5.2 Newton Meter (Check conversion here)
Load at One End: 6.4 Kilonewton --> 6400 Newton (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = (2*Mb)/L --> (2*5.2)/6400
Evaluating ... ...
l = 0.001625
STEP 3: Convert Result to Output's Unit
0.001625 Meter -->1.625 Millimeter (Check conversion here)
FINAL ANSWER
1.625 Millimeter <-- Span of Spring
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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6 Span of Spring Calculators

Span of Spring given Maximum Bending Stress Developed in Plates
Go Span of Spring = (2*Number of Plates*Width of Full Size Bearing Plate*Thickness of Plate^2*Maximum Bending Stress in Plates)/(3*Point Load at Center of Spring)
Span of Leaf Spring given Central Deflection of Leaf Spring
Go Span of Spring = sqrt((Deflection of Centre of Leaf Spring*4*Modulus of Elasticity Leaf Spring*Thickness of Plate)/(Maximum Bending Stress in Plates))
Span of Spring given Maximum Bending Stress
Go Span of Spring = sqrt((4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Maximum Bending Stress in Plates))
Span of Spring given Central Deflection of Leaf Spring
Go Span of Spring = sqrt(8*Radius of Plate*Deflection of Centre of Leaf Spring)
Span of Spring given Bending Moment at Center of Leaf Spring and Point Load at Center
Go Span of Spring = (4*Bending Moment in Spring)/(Point Load at Center of Spring)
Span of Spring given Bending Moment at Center of Leaf Spring
Go Span of Spring = (2*Bending Moment in Spring)/Load at One End

Span of Spring given Bending Moment at Center of Leaf Spring Formula

Span of Spring = (2*Bending Moment in Spring)/Load at One End
l = (2*Mb)/L

What is moment and bending moment?

A moment is equivalent to a force multiplied by the length of the line passing through the point of reaction and that is perpendicular to the force. A bending moment is an internal reaction to a bending load. It is therefore acting on a surface that would be normal to the neutral axis of the part.

How to Calculate Span of Spring given Bending Moment at Center of Leaf Spring?

Span of Spring given Bending Moment at Center of Leaf Spring calculator uses Span of Spring = (2*Bending Moment in Spring)/Load at One End to calculate the Span of Spring, Span of spring given bending moment at center of leaf spring is basically the length of spring. Span of Spring is denoted by l symbol.

How to calculate Span of Spring given Bending Moment at Center of Leaf Spring using this online calculator? To use this online calculator for Span of Spring given Bending Moment at Center of Leaf Spring, enter Bending Moment in Spring (Mb) & Load at One End (L) and hit the calculate button. Here is how the Span of Spring given Bending Moment at Center of Leaf Spring calculation can be explained with given input values -> 1625 = (2*5.2)/6400.

FAQ

What is Span of Spring given Bending Moment at Center of Leaf Spring?
Span of spring given bending moment at center of leaf spring is basically the length of spring and is represented as l = (2*Mb)/L or Span of Spring = (2*Bending Moment in Spring)/Load at One End. Bending Moment in Spring is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend & Load at one end is is an equivalent load applied to a single point.
How to calculate Span of Spring given Bending Moment at Center of Leaf Spring?
Span of spring given bending moment at center of leaf spring is basically the length of spring is calculated using Span of Spring = (2*Bending Moment in Spring)/Load at One End. To calculate Span of Spring given Bending Moment at Center of Leaf Spring, you need Bending Moment in Spring (Mb) & Load at One End (L). With our tool, you need to enter the respective value for Bending Moment in Spring & Load at One End 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 Span of Spring?
In this formula, Span of Spring uses Bending Moment in Spring & Load at One End. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Span of Spring = sqrt((4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Maximum Bending Stress in Plates))
  • Span of Spring = (4*Bending Moment in Spring)/(Point Load at Center of Spring)
  • Span of Spring = sqrt(8*Radius of Plate*Deflection of Centre of Leaf Spring)
  • Span of Spring = sqrt((Deflection of Centre of Leaf Spring*4*Modulus of Elasticity Leaf Spring*Thickness of Plate)/(Maximum Bending Stress in Plates))
  • Span of Spring = (2*Number of Plates*Width of Full Size Bearing Plate*Thickness of Plate^2*Maximum Bending Stress in Plates)/(3*Point Load at Center of Spring)
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