Span of Spring given Bending Moment at Center of Leaf Spring and Point Load at Center Calculator

✖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.ⓘ Bending Moment in Spring [M_b]			+10% -10%
✖Point load at center of spring is an equivalent load applied to a single point.ⓘ Point Load at Center of Spring [w]			+10% -10%

✖Span of spring is basically the expanded length of spring.ⓘ Span of Spring given Bending Moment at Center of Leaf Spring and Point Load at Center [l]

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Formula

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Span of Spring given Bending Moment at Center of Leaf Spring and Point Load at Center

Formula

`"l" = (4*"M"_{"b"})/("w")`

Example

`"0.082869mm"=(4*"5200N*mm")/("251kN")`

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Span of Spring given Bending Moment at Center of Leaf Spring and Point Load at Center Solution

STEP 0: Pre-Calculation Summary

Formula Used

Span of Spring = (4*Bending Moment in Spring)/(Point Load at Center of Spring)
l = (4*M_b)/(w)
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.
Point Load at Center of Spring - (Measured in Newton) - Point load at center of spring 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)
Point Load at Center of Spring: 251 Kilonewton --> 251000 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = (4*M_b)/(w) --> (4*5.2)/(251000)

Evaluating ... ...

l = 8.28685258964143E-05

STEP 3: Convert Result to Output's Unit

8.28685258964143E-05 Meter -->0.0828685258964143 Millimeter (Check conversion here)

FINAL ANSWER

0.0828685258964143 ≈ 0.082869 Millimeter <-- Span of Spring

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Springs » Torsion of Leaf Spring » Span of Spring » Span of Spring given Bending Moment at Center of Leaf Spring and Point Load at Center

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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 and Point Load at Center Formula

Span of Spring = (4*Bending Moment in Spring)/(Point Load at Center of Spring)
l = (4*M_b)/(w)

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 and Point Load at Center?

Span of Spring given Bending Moment at Center of Leaf Spring and Point Load at Center calculator uses Span of Spring = (4*Bending Moment in Spring)/(Point Load at Center of Spring) to calculate the Span of Spring, Span of spring given bending moment at center of leaf spring and point load at center 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 and Point Load at Center using this online calculator? To use this online calculator for Span of Spring given Bending Moment at Center of Leaf Spring and Point Load at Center, enter Bending Moment in Spring (M_b) & Point Load at Center of Spring (w) and hit the calculate button. Here is how the Span of Spring given Bending Moment at Center of Leaf Spring and Point Load at Center calculation can be explained with given input values -> 4160 = (4*5.2)/(251000).

FAQ

What is Span of Spring given Bending Moment at Center of Leaf Spring and Point Load at Center?

Span of spring given bending moment at center of leaf spring and point load at center is basically the length of spring and is represented as l = (4*M_b)/(w) or Span of Spring = (4*Bending Moment in Spring)/(Point Load at Center of Spring). 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 & Point load at center of spring is an equivalent load applied to a single point.

How to calculate Span of Spring given Bending Moment at Center of Leaf Spring and Point Load at Center?

Span of spring given bending moment at center of leaf spring and point load at center is basically the length of spring is calculated using Span of Spring = (4*Bending Moment in Spring)/(Point Load at Center of Spring). To calculate Span of Spring given Bending Moment at Center of Leaf Spring and Point Load at Center, you need Bending Moment in Spring (M_b) & Point Load at Center of Spring (w). With our tool, you need to enter the respective value for Bending Moment in Spring & Point Load at Center of 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 Span of Spring?

In this formula, Span of Spring uses Bending Moment in Spring & Point Load at Center of Spring. 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 = (2*Bending Moment in Spring)/Load at One End
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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