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*tp)/(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*tp)/(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)

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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

Radius of Plate to which they are Bent Formula

​LaTeX ​Go
Radius of Plate = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Maximum Bending Stress in Plates)
R = (E*tp)/(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 (tp) & 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*tp)/(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 (tp) & 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)
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