Load at One End given Bending Moment at Center of Leaf Spring 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%
✖Span of spring is basically the expanded length of spring.ⓘ Span of Spring [l]			+10% -10%

✖Load at one end is is an equivalent load applied to a single point.ⓘ Load at One End given Bending Moment at Center of Leaf Spring [L]

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Formula

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Load at One End given Bending Moment at Center of Leaf Spring

Formula

`"L" = (2*"M"_{"b"})/"l"`

Example

`"1.733333kN"=(2*"5200N*mm")/"6mm"`

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Download Torsion of Leaf Spring Formulas PDF

Load at One End given Bending Moment at Center of Leaf Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load at One End = (2*Bending Moment in Spring)/Span of Spring
L = (2*M_b)/l
This formula uses 3 Variables

Variables Used

Load at One End - (Measured in Newton) - Load at one end is is an equivalent load applied to a single point.
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.
Span of Spring - (Measured in Meter) - Span of spring is basically the expanded length of spring.

STEP 1: Convert Input(s) to Base Unit

Bending Moment in Spring: 5200 Newton Millimeter --> 5.2 Newton Meter (Check conversion here)
Span of Spring: 6 Millimeter --> 0.006 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (2*M_b)/l --> (2*5.2)/0.006

Evaluating ... ...

L = 1733.33333333333

STEP 3: Convert Result to Output's Unit

1733.33333333333 Newton -->1.73333333333333 Kilonewton (Check conversion here)

FINAL ANSWER

1.73333333333333 ≈ 1.733333 Kilonewton <-- Load at One End

(Calculation completed in 00.020 seconds)

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< 17 Torsion of Leaf Spring Calculators

Point Load Acting at Center of Spring given Maximum Bending Stress Developed in Plates

Go Point Load at Center of Spring = (2*Number of Plates*Width of Full Size Bearing Plate*Thickness of Plate^2*Maximum Bending Stress in Plates)/(3*Span of Spring)

Maximum Bending Stress Developed in Plates given Point Load at Center

Go Maximum Bending Stress in Plates = (3*Point Load at Center of Spring*Span of Spring)/(2*Number of Plates*Width of Full Size Bearing Plate*Thickness of Plate^2)

Number of Plates given Maximum Bending Stress Developed in Plates

Go Number of Plates = (3*Point Load at Center of Spring*Span of Spring)/(2*Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2)

Maximum Bending Stress Developed given Central Deflection of Leaf Spring

Go Maximum Bending Stress in Plates = (4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Span of Spring^2)

Central Deflection of Leaf Spring for given Modulus of Elasticity

Go Deflection of Centre of Leaf Spring = (Maximum Bending Stress in Plates*Span of Spring^2)/(4*Modulus of Elasticity Leaf Spring*Thickness of Plate)

Modulus of Elasticity given Central Deflection of Leaf Spring

Go Modulus of Elasticity Leaf Spring = (Maximum Bending Stress in Plates*Span of Spring^2)/(4*Deflection of Centre of Leaf Spring*Thickness of Plate)

Number of Plates in Leaf Spring given Total Resisting Moment by n Plates

Go Number of Plates = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2)

Total Resisting Moment by n Plates

Go Total Resisting Moments = (Number of Plates*Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2)/6

Maximum Bending Stress Developed given Radius of Plate to which they are Bent

Go Maximum Bending Stress in Plates = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Radius of Plate)

Modulus of Elasticity given Radius of Plate to which they are Bent

Go Modulus of Elasticity Leaf Spring = (2*Maximum Bending Stress in Plates*Radius of Plate)/(Thickness of Plate)

Radius of Plate to which they are Bent

Go Radius of Plate = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Maximum Bending Stress in Plates)

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

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

Moment of Inertia of each Leaf Spring Plate

Go Moment of Inertia = (Width of Full Size Bearing Plate*Thickness of Plate^3)/12

Radius of Plate to which they are Bent given Central Deflection of Leaf Spring

Go Radius of Plate = (Span of Spring^2)/(8*Deflection of Centre of Leaf Spring)

Central Deflection of Leaf Spring

Go Deflection of Centre of Leaf Spring = (Span of Spring^2)/(8*Radius of Plate)

Total Resisting Moment by n Plates given Bending Moment on each Plate

Go Total Resisting Moments = Number of Plates*Bending Moment in Spring

Load at One End given Bending Moment at Center of Leaf Spring

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

Load at One End given Bending Moment at Center of Leaf Spring Formula

Load at One End = (2*Bending Moment in Spring)/Span of Spring
L = (2*M_b)/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 Load at One End given Bending Moment at Center of Leaf Spring?

Load at One End given Bending Moment at Center of Leaf Spring calculator uses Load at One End = (2*Bending Moment in Spring)/Span of Spring to calculate the Load at One End, The Load at one end given bending moment at center of leaf spring formula is defined as an equivalent load applied to a single point, which you can determine by calculating the total load over the object's surface or length and attributing the entire load to its center. Load at One End is denoted by L symbol.

How to calculate Load at One End given Bending Moment at Center of Leaf Spring using this online calculator? To use this online calculator for Load at One End given Bending Moment at Center of Leaf Spring, enter Bending Moment in Spring (M_b) & Span of Spring (l) and hit the calculate button. Here is how the Load at One End given Bending Moment at Center of Leaf Spring calculation can be explained with given input values -> 0.001733 = (2*5.2)/0.006.

FAQ

What is Load at One End given Bending Moment at Center of Leaf Spring?

The Load at one end given bending moment at center of leaf spring formula is defined as an equivalent load applied to a single point, which you can determine by calculating the total load over the object's surface or length and attributing the entire load to its center and is represented as L = (2*M_b)/l or Load at One End = (2*Bending Moment in Spring)/Span 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 & Span of spring is basically the expanded length of spring.

How to calculate Load at One End given Bending Moment at Center of Leaf Spring?

The Load at one end given bending moment at center of leaf spring formula is defined as an equivalent load applied to a single point, which you can determine by calculating the total load over the object's surface or length and attributing the entire load to its center is calculated using Load at One End = (2*Bending Moment in Spring)/Span of Spring. To calculate Load at One End given Bending Moment at Center of Leaf Spring, you need Bending Moment in Spring (M_b) & Span of Spring (l). With our tool, you need to enter the respective value for Bending Moment in Spring & Span 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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