Radius of Plate to which they are Bent Calculator

✖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.ⓘ Modulus of Elasticity Leaf Spring [E]			+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 in Plates [σ]			+10% -10%

✖The radius of plate is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.ⓘ Radius of Plate to which they are Bent [R]

⎘ Copy

👎

Formula

✖

Radius of Plate to which they are Bent

Formula

`"R" = ("E"*"t"_{"p"})/(2*"σ")`

Example

`"0.4mm"=("10MPa"*"1.2mm")/(2*"15MPa")`

Calculator

LaTeX

Reset

👍

Download Torsion of Leaf Spring Formulas PDF

Radius of Plate to which they are Bent Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Plate = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Maximum Bending Stress in Plates)
R = (E*t_p)/(2*σ)
This formula uses 4 Variables

Variables Used

Radius of Plate - (Measured in Meter) - The radius of plate is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.
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.
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.

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)
Maximum Bending Stress in Plates: 15 Megapascal --> 15000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (E*t_p)/(2*σ) --> (10000000*0.0012)/(2*15000000)

Evaluating ... ...

R = 0.0004

STEP 3: Convert Result to Output's Unit

0.0004 Meter -->0.4 Millimeter (Check conversion here)

FINAL ANSWER

0.4 Millimeter <-- Radius of Plate

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Springs » Torsion of Leaf Spring » Radius of Plate to which they are Bent

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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

Radius of Plate to which they are Bent Formula

Radius of Plate = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Maximum Bending Stress in Plates)
R = (E*t_p)/(2*σ)

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 Radius of Plate to which they are Bent?

Radius of Plate to which they are Bent calculator uses Radius of Plate = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Maximum Bending Stress in Plates) to calculate the Radius of Plate, The Radius of plate to which they are bent formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Radius of Plate is denoted by R symbol.

How to calculate Radius of Plate to which they are Bent using this online calculator? To use this online calculator for Radius of Plate to which they are Bent, enter Modulus of Elasticity Leaf Spring (E), Thickness of Plate (t_p) & Maximum Bending Stress in Plates (σ) and hit the calculate button. Here is how the Radius of Plate to which they are Bent calculation can be explained with given input values -> 1166.667 = (10000000*0.0012)/(2*15000000).

FAQ

What is Radius of Plate to which they are Bent?

The Radius of plate to which they are bent formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface and is represented as R = (E*t_p)/(2*σ) or Radius of Plate = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Maximum Bending Stress in Plates). 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 & 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.

How to calculate Radius of Plate to which they are Bent?

The Radius of plate to which they are bent formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface is calculated using Radius of Plate = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Maximum Bending Stress in Plates). To calculate Radius of Plate to which they are Bent, you need Modulus of Elasticity Leaf Spring (E), Thickness of Plate (t_p) & Maximum Bending Stress in Plates (σ). With our tool, you need to enter the respective value for Modulus of Elasticity Leaf Spring, Thickness of Plate & Maximum Bending Stress in Plates 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 Radius of Plate?

In this formula, Radius of Plate uses Modulus of Elasticity Leaf Spring, Thickness of Plate & Maximum Bending Stress in Plates. We can use 1 other way(s) to calculate the same, which is/are as follows -

Radius of Plate = (Span of Spring^2)/(8*Deflection of Centre of Leaf Spring)

Home

FREE PDFs

🔍 Search