Maximum Bending Stress Developed given Central Deflection of Leaf Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Bending Stress in Plates = (4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Span of Spring^2)
σ = (4*E*tp*δ)/(l^2)
This formula uses 5 Variables
Variables Used
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.
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.
Span of Spring - (Measured in Meter) - Span of spring is basically the expanded length of spring.
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)
Span of Spring: 6 Millimeter --> 0.006 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σ = (4*E*tp*δ)/(l^2) --> (4*10000000*0.0012*0.004)/(0.006^2)
Evaluating ... ...
σ = 5333333.33333333
STEP 3: Convert Result to Output's Unit
5333333.33333333 Pascal -->5.33333333333333 Megapascal (Check conversion here)
FINAL ANSWER
5.33333333333333 5.333333 Megapascal <-- Maximum Bending Stress in Plates
(Calculation completed in 00.004 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

Maximum Bending Stress Developed given Central Deflection of Leaf Spring Formula

Maximum Bending Stress in Plates = (4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Span of Spring^2)
σ = (4*E*tp*δ)/(l^2)

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 Maximum Bending Stress Developed given Central Deflection of Leaf Spring?

Maximum Bending Stress Developed given Central Deflection of Leaf Spring calculator uses Maximum Bending Stress in Plates = (4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Span of Spring^2) to calculate the Maximum Bending Stress in Plates, Maximum bending stress developed given central deflection of leaf spring is defined as a more specific type of normal stress. Maximum Bending Stress in Plates is denoted by σ symbol.

How to calculate Maximum Bending Stress Developed given Central Deflection of Leaf Spring using this online calculator? To use this online calculator for Maximum Bending Stress Developed given Central Deflection of Leaf Spring, enter Modulus of Elasticity Leaf Spring (E), Thickness of Plate (tp), Deflection of Centre of Leaf Spring (δ) & Span of Spring (l) and hit the calculate button. Here is how the Maximum Bending Stress Developed given Central Deflection of Leaf Spring calculation can be explained with given input values -> 1.6E-5 = (4*10000000*0.0012*0.004)/(0.006^2).

FAQ

What is Maximum Bending Stress Developed given Central Deflection of Leaf Spring?
Maximum bending stress developed given central deflection of leaf spring is defined as a more specific type of normal stress and is represented as σ = (4*E*tp*δ)/(l^2) or Maximum Bending Stress in Plates = (4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Span of Spring^2). 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 & Span of spring is basically the expanded length of spring.
How to calculate Maximum Bending Stress Developed given Central Deflection of Leaf Spring?
Maximum bending stress developed given central deflection of leaf spring is defined as a more specific type of normal stress is calculated using Maximum Bending Stress in Plates = (4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Span of Spring^2). To calculate Maximum Bending Stress Developed given Central Deflection of Leaf Spring, you need Modulus of Elasticity Leaf Spring (E), Thickness of Plate (tp), Deflection of Centre of Leaf Spring (δ) & Span of Spring (l). 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 & Span 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 Maximum Bending Stress in Plates?
In this formula, Maximum Bending Stress in Plates uses Modulus of Elasticity Leaf Spring, Thickness of Plate, Deflection of Centre of Leaf Spring & Span of Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • Maximum Bending Stress in Plates = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Radius of Plate)
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