Span of Spring given Maximum Bending Stress Developed in Plates Calculator

✖Number of Plates is the count of plates in the leaf spring.ⓘ Number of Plates [n]			+10% -10%
✖Width of Full Size Bearing Plate is the smaller dimension of plate.ⓘ Width of Full Size Bearing Plate [B]			+10% -10%
✖The thickness of plate is the state or quality of being thick. The measure of the smallest dimension of a solid figure: a board of two-inch thickness.ⓘ Thickness of Plate [t_p]			+10% -10%
✖Maximum bending stress in plates is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.ⓘ Maximum Bending Stress in Plates [σ]			+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 Maximum Bending Stress Developed in Plates [l]

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Formula

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Span of Spring given Maximum Bending Stress Developed in Plates

Formula

`"l" = (2*"n"*"B"*"t"_{"p"}^2*"σ")/(3*"w")`

Example

`"0.051404mm"=(2*"8"*"112mm"*("1.2mm")^2*"15MPa")/(3*"251kN")`

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Span of Spring given Maximum Bending Stress Developed in Plates Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
l = (2*n*B*t_p^2*σ)/(3*w)
This formula uses 6 Variables

Variables Used

Span of Spring - (Measured in Meter) - Span of spring is basically the expanded length of spring.
Number of Plates - Number of Plates is the count of plates in the leaf spring.
Width of Full Size Bearing Plate - (Measured in Meter) - Width of Full Size Bearing Plate is the smaller dimension of plate.
Thickness of Plate - (Measured in Meter) - The thickness of plate is the state or quality of being thick. The measure of the smallest dimension of a solid figure: a board of two-inch thickness.
Maximum Bending Stress in Plates - (Measured in Pascal) - Maximum bending stress in plates 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

Number of Plates: 8 --> No Conversion Required
Width of Full Size Bearing Plate: 112 Millimeter --> 0.112 Meter (Check conversion here)
Thickness of Plate: 1.2 Millimeter --> 0.0012 Meter (Check conversion here)
Maximum Bending Stress in Plates: 15 Megapascal --> 15000000 Pascal (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 = (2*n*B*t_p^2*σ)/(3*w) --> (2*8*0.112*0.0012^2*15000000)/(3*251000)

Evaluating ... ...

l = 5.1403984063745E-05

STEP 3: Convert Result to Output's Unit

5.1403984063745E-05 Meter -->0.051403984063745 Millimeter (Check conversion here)

FINAL ANSWER

0.051403984063745 ≈ 0.051404 Millimeter <-- Span of Spring

(Calculation completed in 00.004 seconds)

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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 Maximum Bending Stress Developed in Plates Formula

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)
l = (2*n*B*t_p^2*σ)/(3*w)

What is bending stress in beam?

When a beam is subjected to external loads, shear forces and bending moments develop in the beam. The beam itself must develop internal resistance to resist shear forces and bending moments. The stresses caused by the bending moments are called bending stresses.

How to Calculate Span of Spring given Maximum Bending Stress Developed in Plates?

Span of Spring given Maximum Bending Stress Developed in Plates calculator uses 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) to calculate the Span of Spring, Span of spring given maximum bending stress developed in plates is basically the length of the spring. Span of Spring is denoted by l symbol.

How to calculate Span of Spring given Maximum Bending Stress Developed in Plates using this online calculator? To use this online calculator for Span of Spring given Maximum Bending Stress Developed in Plates, enter Number of Plates (n), Width of Full Size Bearing Plate (B), Thickness of Plate (t_p), Maximum Bending Stress in Plates (σ) & Point Load at Center of Spring (w) and hit the calculate button. Here is how the Span of Spring given Maximum Bending Stress Developed in Plates calculation can be explained with given input values -> 437.2908 = (2*8*0.112*0.0012^2*15000000)/(3*251000).

FAQ

What is Span of Spring given Maximum Bending Stress Developed in Plates?

Span of spring given maximum bending stress developed in plates is basically the length of the spring and is represented as l = (2*n*B*t_p^2*σ)/(3*w) or 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). Number of Plates is the count of plates in the leaf spring, Width of Full Size Bearing Plate is the smaller dimension of plate, The thickness of plate is the state or quality of being thick. The measure of the smallest dimension of a solid figure: a board of two-inch thickness, Maximum bending stress in plates 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 Maximum Bending Stress Developed in Plates?

Span of spring given maximum bending stress developed in plates is basically the length of the spring is calculated using 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). To calculate Span of Spring given Maximum Bending Stress Developed in Plates, you need Number of Plates (n), Width of Full Size Bearing Plate (B), Thickness of Plate (t_p), Maximum Bending Stress in Plates (σ) & Point Load at Center of Spring (w). With our tool, you need to enter the respective value for Number of Plates, Width of Full Size Bearing Plate, Thickness of Plate, Maximum Bending Stress in Plates & 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 Number of Plates, Width of Full Size Bearing Plate, Thickness of Plate, Maximum Bending Stress in Plates & 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 = (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))

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