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

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✖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%
✖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%
✖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%

✖Number of Plates is the count of plates in the leaf spring.ⓘ Number of Plates in Leaf Spring given Total Resisting Moment by n Plates [n]

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

STEP 0: Pre-Calculation Summary

Formula Used

Number of Plates = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2)
n = (6*M_b)/(σ*B*t_p^2)
This formula uses 5 Variables

Variables Used

Number of Plates - Number of Plates is the count of plates in the leaf spring.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Bending Moment in Spring: 5200 Newton Millimeter --> 5.2 Newton Meter (Check conversion here)
Maximum Bending Stress in Plates: 15 Megapascal --> 15000000 Pascal (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = (6*M_b)/(σ*B*t_p^2) --> (6*5.2)/(15000000*0.112*0.0012^2)

Evaluating ... ...

n = 12.8968253968254

STEP 3: Convert Result to Output's Unit

12.8968253968254 --> No Conversion Required

FINAL ANSWER

12.8968253968254 ≈ 12.89683 <-- Number of Plates

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Stress and Strain Calculators

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

LaTeX 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

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

Moment of Inertia of each Leaf Spring Plate

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

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

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

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

LaTeX Go

Number of Plates = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2)
n = (6*M_b)/(σ*B*t_p^2)

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

Number of Plates in Leaf Spring given Total Resisting Moment by n Plates calculator uses Number of Plates = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2) to calculate the Number of Plates, The Number of plates in leaf spring given total resisting moment by n plates formula is defined as the count of plates on the leaf spring. Number of Plates is denoted by n symbol.

How to calculate Number of Plates in Leaf Spring given Total Resisting Moment by n Plates using this online calculator? To use this online calculator for Number of Plates in Leaf Spring given Total Resisting Moment by n Plates, enter Bending Moment in Spring (M_b), Maximum Bending Stress in Plates (σ), Width of Full Size Bearing Plate (B) & Thickness of Plate (t_p) and hit the calculate button. Here is how the Number of Plates in Leaf Spring given Total Resisting Moment by n Plates calculation can be explained with given input values -> 1.516035 = (6*5.2)/(15000000*0.112*0.0012^2).

FAQ

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

The Number of plates in leaf spring given total resisting moment by n plates formula is defined as the count of plates on the leaf spring and is represented as n = (6*M_b)/(σ*B*t_p^2) or Number of Plates = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2). 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, 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, 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.

How to calculate Number of Plates in Leaf Spring given Total Resisting Moment by n Plates?

The Number of plates in leaf spring given total resisting moment by n plates formula is defined as the count of plates on the leaf spring is calculated using Number of Plates = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2). To calculate Number of Plates in Leaf Spring given Total Resisting Moment by n Plates, you need Bending Moment in Spring (M_b), Maximum Bending Stress in Plates (σ), Width of Full Size Bearing Plate (B) & Thickness of Plate (t_p). With our tool, you need to enter the respective value for Bending Moment in Spring, Maximum Bending Stress in Plates, Width of Full Size Bearing Plate & Thickness of Plate 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 Number of Plates?

In this formula, Number of Plates uses Bending Moment in Spring, Maximum Bending Stress in Plates, Width of Full Size Bearing Plate & Thickness of Plate. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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