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Maximum Bending Stress Developed in Plates given Point Load at Center Calculator

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✖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 [l]			+10% -10%
✖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 Developed in Plates given Point Load at Center [σ]

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Maximum Bending Stress Developed in Plates given Point Load at Center Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
σ = (3*w*l)/(2*n*B*t_p^2)
This formula uses 6 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.
Point Load at Center of Spring - (Measured in Newton) - Point load at center of spring is an equivalent load applied to a single point.
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.

STEP 1: Convert Input(s) to Base Unit

Point Load at Center of Spring: 251 Kilonewton --> 251000 Newton (Check conversion here)
Span of Spring: 6 Millimeter --> 0.006 Meter (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ = (3*w*l)/(2*n*B*t_p^2) --> (3*251000*0.006)/(2*8*0.112*0.0012^2)

Evaluating ... ...

σ = 1750837053.57143

STEP 3: Convert Result to Output's Unit

1750837053.57143 Pascal -->1750.83705357143 Megapascal (Check conversion here)

FINAL ANSWER

1750.83705357143 ≈ 1750.837 Megapascal <-- Maximum Bending Stress in Plates

(Calculation completed in 00.020 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

Maximum Bending Stress Developed in Plates given Point Load at Center Formula

LaTeX 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)
σ = (3*w*l)/(2*n*B*t_p^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 in Plates given Point Load at Center?

Maximum Bending Stress Developed in Plates given Point Load at Center calculator uses 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) to calculate the Maximum Bending Stress in Plates, The Maximum bending stress developed in plates given point load at center formula 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 in Plates given Point Load at Center using this online calculator? To use this online calculator for Maximum Bending Stress Developed in Plates given Point Load at Center, enter Point Load at Center of Spring (w), Span of Spring (l), Number of Plates (n), Width of Full Size Bearing Plate (B) & Thickness of Plate (t_p) and hit the calculate button. Here is how the Maximum Bending Stress Developed in Plates given Point Load at Center calculation can be explained with given input values -> 0.000206 = (3*251000*0.006)/(2*8*0.112*0.0012^2).

FAQ

What is Maximum Bending Stress Developed in Plates given Point Load at Center?

The Maximum bending stress developed in plates given point load at center formula is defined as a more specific type of normal stress and is represented as σ = (3*w*l)/(2*n*B*t_p^2) or 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). Point load at center of spring is an equivalent load applied to a single point, Span of spring is basically the expanded length 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.

How to calculate Maximum Bending Stress Developed in Plates given Point Load at Center?

The Maximum bending stress developed in plates given point load at center formula is defined as a more specific type of normal stress is calculated using 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). To calculate Maximum Bending Stress Developed in Plates given Point Load at Center, you need Point Load at Center of Spring (w), Span of Spring (l), Number of Plates (n), Width of Full Size Bearing Plate (B) & Thickness of Plate (t_p). With our tool, you need to enter the respective value for Point Load at Center of Spring, Span of Spring, Number of 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 Maximum Bending Stress in Plates?

In this formula, Maximum Bending Stress in Plates uses Point Load at Center of Spring, Span of Spring, Number of Plates, Width of Full Size Bearing Plate & Thickness of Plate. We can use 2 other way(s) to calculate the same, which is/are as follows -

Maximum Bending Stress in Plates = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Radius of Plate)
Maximum Bending Stress in Plates = (4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Span of Spring^2)

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