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Bending Stress on the Graduated Length Leaves Solution

STEP 0: Pre-Calculation Summary
Formula Used
bending_stress = 12*Force Applied at the End of Spring*Length of Cantilever/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2)
𝛔b = 12*P*L/((3*nf+2*ng)*b*t^2)
This formula uses 6 Variables
Variables Used
Force Applied at the End of Spring - Force Applied at the End of Spring is defined as the net amount of force that is acting on the spring. (Measured in Newton)
Length of Cantilever - Length of Cantilever is defined as half the length of semi-elliptic spring . (Measured in Millimeter)
Number of Full length Leaves- Number of Full length Leaves is defined as the total number of extra full length leaves present in a multi-leaf spring.
Number of Graduated Length Leaves- Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.
Width of Leaf - Width of Leaf is defined as the width of each leaf present in a multi-leaf spring (Measured in Millimeter)
Thickness of Leaf - Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Force Applied at the End of Spring: 100 Newton --> 100 Newton No Conversion Required
Length of Cantilever: 50 Millimeter --> 0.05 Meter (Check conversion here)
Number of Full length Leaves: 5 --> No Conversion Required
Number of Graduated Length Leaves: 10 --> No Conversion Required
Width of Leaf: 10 Millimeter --> 0.01 Meter (Check conversion here)
Thickness of Leaf: 5 Millimeter --> 0.005 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛔b = 12*P*L/((3*nf+2*ng)*b*t^2) --> 12*100*0.05/((3*5+2*10)*0.01*0.005^2)
Evaluating ... ...
𝛔b = 6857142.85714286
STEP 3: Convert Result to Output's Unit
6857142.85714286 Pascal -->6857142.85714286 Newton per Square Meter (Check conversion here)
FINAL ANSWER
6857142.85714286 Newton per Square Meter <-- Bending Stress
(Calculation completed in 00.031 seconds)

11 Other formulas that you can solve using the same Inputs

Length of Cantilever When Deflection at the Load Point(Graduated Length Leaves) is Given
length_of_cantilever = (Deflection of Spring*Modulus Of Elasticity*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/6*Force Taken by Graduated Length Leaves)^(1/3) Go
Modulus of Elasticity of leaf When Deflection at the Load Point (Graduated Length Leaves) is Given
modulus_of_elasticity = 6*Force Taken by Graduated Length Leaves*Length of Cantilever^3/Deflection of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3 Go
Number of Graduated length leaves When Deflection at Load Point (Graduated-Length Leaves) is given
number_of_graduated_length_leaves = 6*Force Taken by Graduated Length Leaves*Length of Cantilever^3/Modulus Of Elasticity*Deflection of Spring*Width of Leaf*Thickness of Leaf^3 Go
Force Taken by the Graduated length Leaves When Deflection at the Load Point is Given
force_taken_by_graduated_length_leaves = Deflection of Spring*Modulus Of Elasticity*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/6*Length of Cantilever^3 Go
Deflection at the Load Point (Graduated Length Leaves)
deflection_of_spring = 6*Force Taken by Graduated Length Leaves*Length of Cantilever^3/Modulus Of Elasticity*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3 Go
Thickness of each Leaf When Bending Stress in the Plate is Given
thickness_of_leaf = sqrt(6*Force Taken by Graduated Length Leaves*Length of Cantilever/Number of Graduated Length Leaves*Width of Leaf*Bending Stress) Go
Force Taken by the Graduated length Leaves When Bending Stress in the Plate is Given
force_taken_by_graduated_length_leaves = Bending Stress*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2/6*Length of Cantilever Go
Number of Graduated length leaves When Bending Stress in the Plate is Given
number_of_graduated_length_leaves = 6*Force Taken by Graduated Length Leaves*Length of Cantilever/Bending Stress*Width of Leaf*Thickness of Leaf^2 Go
Length of Cantilever When Bending Stress in the Plate is Given
length_of_cantilever = Bending Stress*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2/6*Force Taken by Graduated Length Leaves Go
Width of Each Leaf When Bending Stress in the Plate is Given
width_of_leaf = 6*Force Taken by Graduated Length Leaves*Length of Cantilever/Number of Graduated Length Leaves*Bending Stress*Thickness of Leaf^2 Go
Bending Stress in the Plate(Graduated-length Leaves)
bending_stress = 6*Force Taken by Graduated Length Leaves*Length of Cantilever/Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2 Go

11 Other formulas that calculate the same Output

Bending stress at a fiber
bending_stress = (Bending moment*Distance from the Neutral axis)/(Area of cross section*(Eccentricity)*(Radius of neutral axis-Distance from neutral axis)) Go
Bending stress at outer fiber
bending_stress = (Bending moment*Distance from outer fiber and neutral axis)/(Area of cross section*Eccentricity*Radius of outer fiber) Go
Bending stress at inner fiber
bending_stress = (Bending moment*Distance from inner fiber an neutral axis)/(Area of cross section*Eccentricity*Radius of inner fiber) Go
Bending stress due to eccentricity about x-x axis in terms of eccentric load on column
bending_stress = (Eccentric load on column*Eccentricity of the load about x-x axis*Distance of load point from y axis)/(Moment of Inertia about x-x axis) Go
Bending stress due to eccentricity about y-y axis in terms of eccentric load on column
bending_stress = (Eccentric load on column*Eccentricity of the load about y-y axis*Distance of load point from y axis)/(Moment of Inertia about y-y axis) Go
Bending stress in terms of eccentric load and eccentricity
bending_stress = (6*Eccentric load on column*Eccentricity of the load)/(Depth of column*(Width of column^2)) Go
Bending stress due to eccentricity about x-x axis
bending_stress = (Moment of load about x-x axis*Distance of load point from x axis)/(Moment of Inertia about x-x axis) Go
Bending stress due to eccentricity about y-y axis
bending_stress = (Moment of load about y-y axis*Distance of load point from y axis)/(Moment of Inertia about y-y axis) Go
Bending stress in terms of moment due to load
bending_stress = (6*Moment due to eccentric load)/(Depth of column*(Width of column^2)) Go
Stress due to bending moment
bending_stress = (Bending moment*Distance from neutral axis)/Area Moment Of Inertia Go
Bending Stress
bending_stress = Bending moment*Distance from the Neutral axis/Moment of Inertia Go

Bending Stress on the Graduated Length Leaves Formula

bending_stress = 12*Force Applied at the End of Spring*Length of Cantilever/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2)
𝛔b = 12*P*L/((3*nf+2*ng)*b*t^2)

Define Bending Stress?

Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Bending stress occurs when operating industrial equipment and in concrete and metallic structures when they are subjected to a tensile load.

How to Calculate Bending Stress on the Graduated Length Leaves?

Bending Stress on the Graduated Length Leaves calculator uses bending_stress = 12*Force Applied at the End of Spring*Length of Cantilever/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2) to calculate the Bending Stress, The Bending Stress on the Graduated Length Leaves formula is defined as the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. . Bending Stress and is denoted by 𝛔b symbol.

How to calculate Bending Stress on the Graduated Length Leaves using this online calculator? To use this online calculator for Bending Stress on the Graduated Length Leaves, enter Force Applied at the End of Spring (P), Length of Cantilever (L), Number of Full length Leaves (nf), Number of Graduated Length Leaves (ng), Width of Leaf (b) and Thickness of Leaf (t) and hit the calculate button. Here is how the Bending Stress on the Graduated Length Leaves calculation can be explained with given input values -> 6.857E+6 = 12*100*0.05/((3*5+2*10)*0.01*0.005^2).

FAQ

What is Bending Stress on the Graduated Length Leaves?
The Bending Stress on the Graduated Length Leaves formula is defined as the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. and is represented as 𝛔b = 12*P*L/((3*nf+2*ng)*b*t^2) or bending_stress = 12*Force Applied at the End of Spring*Length of Cantilever/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2). Force Applied at the End of Spring is defined as the net amount of force that is acting on the spring, Length of Cantilever is defined as half the length of semi-elliptic spring , Number of Full length Leaves is defined as the total number of extra full length leaves present in a multi-leaf spring, Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf, Width of Leaf is defined as the width of each leaf present in a multi-leaf spring and Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.
How to calculate Bending Stress on the Graduated Length Leaves?
The Bending Stress on the Graduated Length Leaves formula is defined as the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. is calculated using bending_stress = 12*Force Applied at the End of Spring*Length of Cantilever/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2). To calculate Bending Stress on the Graduated Length Leaves, you need Force Applied at the End of Spring (P), Length of Cantilever (L), Number of Full length Leaves (nf), Number of Graduated Length Leaves (ng), Width of Leaf (b) and Thickness of Leaf (t). With our tool, you need to enter the respective value for Force Applied at the End of Spring, Length of Cantilever, Number of Full length Leaves, Number of Graduated Length Leaves, Width of Leaf and Thickness of Leaf 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 Bending Stress?
In this formula, Bending Stress uses Force Applied at the End of Spring, Length of Cantilever, Number of Full length Leaves, Number of Graduated Length Leaves, Width of Leaf and Thickness of Leaf. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • bending_stress = Bending moment*Distance from the Neutral axis/Moment of Inertia
  • bending_stress = (Bending moment*Distance from neutral axis)/Area Moment Of Inertia
  • bending_stress = (Bending moment*Distance from the Neutral axis)/(Area of cross section*(Eccentricity)*(Radius of neutral axis-Distance from neutral axis))
  • bending_stress = (Bending moment*Distance from inner fiber an neutral axis)/(Area of cross section*Eccentricity*Radius of inner fiber)
  • bending_stress = (Bending moment*Distance from outer fiber and neutral axis)/(Area of cross section*Eccentricity*Radius of outer fiber)
  • bending_stress = (6*Eccentric load on column*Eccentricity of the load)/(Depth of column*(Width of column^2))
  • bending_stress = (6*Moment due to eccentric load)/(Depth of column*(Width of column^2))
  • bending_stress = (Moment of load about x-x axis*Distance of load point from x axis)/(Moment of Inertia about x-x axis)
  • bending_stress = (Eccentric load on column*Eccentricity of the load about x-x axis*Distance of load point from y axis)/(Moment of Inertia about x-x axis)
  • bending_stress = (Moment of load about y-y axis*Distance of load point from y axis)/(Moment of Inertia about y-y axis)
  • bending_stress = (Eccentric load on column*Eccentricity of the load about y-y axis*Distance of load point from y axis)/(Moment of Inertia about y-y axis)
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