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Span of Spring given Maximum Bending Stress Calculator

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✖Modulus of Elasticity Leaf spring is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus of Elasticity Leaf Spring [E]			+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%
✖Deflection of centre of leaf spring is a numerical measurement of how far apart objects or points are.ⓘ Deflection of Centre of Leaf Spring [δ]			+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%

✖Span of spring is basically the expanded length of spring.ⓘ Span of Spring given Maximum Bending Stress [l]

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Span of Spring given Maximum Bending Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Span of Spring = sqrt((4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Maximum Bending Stress in Plates))
l = sqrt((4*E*t_p*δ)/(σ))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Span of Spring - (Measured in Meter) - Span of spring is basically the expanded length of spring.
Modulus of Elasticity Leaf Spring - (Measured in Pascal) - Modulus of Elasticity Leaf spring is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.
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.
Deflection of Centre of Leaf Spring - (Measured in Meter) - Deflection of centre of leaf spring is a numerical measurement of how far apart objects or points are.
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.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity Leaf Spring: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Thickness of Plate: 1.2 Millimeter --> 0.0012 Meter (Check conversion here)
Deflection of Centre of Leaf Spring: 4 Millimeter --> 0.004 Meter (Check conversion here)
Maximum Bending Stress in Plates: 15 Megapascal --> 15000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = sqrt((4*E*t_p*δ)/(σ)) --> sqrt((4*10000000*0.0012*0.004)/(15000000))

Evaluating ... ...

l = 0.00357770876399966

STEP 3: Convert Result to Output's Unit

0.00357770876399966 Meter -->3.57770876399966 Millimeter (Check conversion here)

FINAL ANSWER

3.57770876399966 ≈ 3.577709 Millimeter <-- Span of Spring

(Calculation completed in 00.004 seconds)

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< Span of Spring Calculators

Span of Spring given Maximum Bending Stress

LaTeX 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

LaTeX 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

LaTeX 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

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

Span of Spring given Maximum Bending Stress Formula

LaTeX 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))
l = sqrt((4*E*t_p*δ)/(σ))

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?

Span of Spring given Maximum Bending Stress calculator uses Span of Spring = sqrt((4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Maximum Bending Stress in Plates)) to calculate the Span of Spring, Span of spring given maximum bending stress for given central deflection of the leaf spring 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 using this online calculator? To use this online calculator for Span of Spring given Maximum Bending Stress, enter Modulus of Elasticity Leaf Spring (E), Thickness of Plate (t_p), Deflection of Centre of Leaf Spring (δ) & Maximum Bending Stress in Plates (σ) and hit the calculate button. Here is how the Span of Spring given Maximum Bending Stress calculation can be explained with given input values -> 6110.101 = sqrt((4*10000000*0.0012*0.004)/(15000000)).

FAQ

What is Span of Spring given Maximum Bending Stress?

Span of spring given maximum bending stress for given central deflection of the leaf spring is basically the length of the spring and is represented as l = sqrt((4*E*t_p*δ)/(σ)) or Span of Spring = sqrt((4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Maximum Bending Stress in Plates)). Modulus of Elasticity Leaf spring is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it, 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, Deflection of centre of leaf spring is a numerical measurement of how far apart objects or points are & 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.

How to calculate Span of Spring given Maximum Bending Stress?

Span of spring given maximum bending stress for given central deflection of the leaf spring is basically the length of the spring is calculated using Span of Spring = sqrt((4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Maximum Bending Stress in Plates)). To calculate Span of Spring given Maximum Bending Stress, you need Modulus of Elasticity Leaf Spring (E), Thickness of Plate (t_p), Deflection of Centre of Leaf Spring (δ) & Maximum Bending Stress in Plates (σ). With our tool, you need to enter the respective value for Modulus of Elasticity Leaf Spring, Thickness of Plate, Deflection of Centre of Leaf Spring & Maximum Bending Stress in Plates 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 Modulus of Elasticity Leaf Spring, Thickness of Plate, Deflection of Centre of Leaf Spring & Maximum Bending Stress in Plates. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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