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

STEP 0: Pre-Calculation Summary
Formula Used
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)
w = (2*n*B*tp^2*σ)/(3*l)
This formula uses 6 Variables
Variables Used
Point Load at Center of Spring - (Measured in Newton) - Point load at center of spring is an equivalent load applied to a single point.
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.
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.
Span of Spring - (Measured in Meter) - Span of spring is basically the expanded length of spring.
STEP 1: Convert Input(s) to Base Unit
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)
Maximum Bending Stress in Plates: 15 Megapascal --> 15000000 Pascal (Check conversion ​here)
Span of Spring: 6 Millimeter --> 0.006 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
w = (2*n*B*tp^2*σ)/(3*l) --> (2*8*0.112*0.0012^2*15000000)/(3*0.006)
Evaluating ... ...
w = 2150.4
STEP 3: Convert Result to Output's Unit
2150.4 Newton -->2.1504 Kilonewton (Check conversion ​here)
FINAL ANSWER
2.1504 Kilonewton <-- Point Load at Center of Spring
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verifier Image
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

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

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

​LaTeX ​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)
w = (2*n*B*tp^2*σ)/(3*l)

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 Point Load Acting at Center of Spring given Maximum Bending Stress Developed in Plates?

Point Load Acting at Center of Spring given Maximum Bending Stress Developed in Plates calculator uses 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) to calculate the Point Load at Center of Spring, The Point load acting at center of spring given maximum bending stress developed in plates formula is defined as an equivalent load applied to a single point, which you can determine by calculating the total load over the object's surface or length and attributing the entire load to its center. Point Load at Center of Spring is denoted by w symbol.

How to calculate Point Load Acting at Center of Spring given Maximum Bending Stress Developed in Plates using this online calculator? To use this online calculator for Point Load Acting at Center of Spring given Maximum Bending Stress Developed in Plates, enter Number of Plates (n), Width of Full Size Bearing Plate (B), Thickness of Plate (tp), Maximum Bending Stress in Plates (σ) & Span of Spring (l) and hit the calculate button. Here is how the Point Load Acting at Center of Spring given Maximum Bending Stress Developed in Plates calculation can be explained with given input values -> 0.018293 = (2*8*0.112*0.0012^2*15000000)/(3*0.006).

FAQ

What is Point Load Acting at Center of Spring given Maximum Bending Stress Developed in Plates?
The Point load acting at center of spring given maximum bending stress developed in plates formula is defined as an equivalent load applied to a single point, which you can determine by calculating the total load over the object's surface or length and attributing the entire load to its center and is represented as w = (2*n*B*tp^2*σ)/(3*l) or 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). 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, 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 & Span of spring is basically the expanded length of spring.
How to calculate Point Load Acting at Center of Spring given Maximum Bending Stress Developed in Plates?
The Point load acting at center of spring given maximum bending stress developed in plates formula is defined as an equivalent load applied to a single point, which you can determine by calculating the total load over the object's surface or length and attributing the entire load to its center is calculated using 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). To calculate Point Load Acting at Center of Spring given Maximum Bending Stress Developed in Plates, you need Number of Plates (n), Width of Full Size Bearing Plate (B), Thickness of Plate (tp), Maximum Bending Stress in Plates (σ) & Span of Spring (l). With our tool, you need to enter the respective value for Number of Plates, Width of Full Size Bearing Plate, Thickness of Plate, Maximum Bending Stress in Plates & 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 Point Load at Center of Spring?
In this formula, Point Load at Center of Spring uses Number of Plates, Width of Full Size Bearing Plate, Thickness of Plate, Maximum Bending Stress in Plates & Span of Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Point Load at Center of Spring = (4*Bending Moment in Spring)/(Span of Spring)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!