Thickness of Plate given Radius of Plate to which they are Bent Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thickness of Plate = (2*Maximum Bending Stress in Plates*Radius of Plate)/(Modulus of Elasticity Leaf Spring)
tp = (2*σ*R)/(E)
This formula uses 4 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Maximum Bending Stress in Plates: 15 Megapascal --> 15000000 Pascal (Check conversion here)
Radius of Plate: 7 Millimeter --> 0.007 Meter (Check conversion here)
Modulus of Elasticity Leaf Spring: 10 Megapascal --> 10000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tp = (2*σ*R)/(E) --> (2*15000000*0.007)/(10000000)
Evaluating ... ...
tp = 0.021
STEP 3: Convert Result to Output's Unit
0.021 Meter -->21 Millimeter (Check conversion here)
FINAL ANSWER
21 Millimeter <-- Thickness of Plate
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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6 Thickness of Plate Calculators

Thickness of Plate given Maximum Bending Stress Developed in Plate
Go Thickness of Plate = sqrt((3*Point Load at Center of Spring*Span of Spring)/(2*Number of Plates*Width of Full Size Bearing Plate*Maximum Bending Stress in Plates))
Thickness of each Plate given Total Resisting Moment by n Plates
Go Thickness of Plate = sqrt((6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Number of Plates*Width of Full Size Bearing Plate))
Thickness of Plate given Central Deflection of Leaf Spring
Go Thickness of Plate = (Maximum Bending Stress in Plates*Span of Spring^2)/(4*Modulus of Elasticity Leaf Spring*Deflection of Centre of Leaf Spring)
Thickness of each Plate given Bending Moment on Single Plate
Go Thickness of Plate = sqrt((6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Width of Full Size Bearing Plate))
Thickness of Plate given Radius of Plate to which they are Bent
Go Thickness of Plate = (2*Maximum Bending Stress in Plates*Radius of Plate)/(Modulus of Elasticity Leaf Spring)
Thickness of each Plate given Moment of Inertia of each Plate
Go Thickness of Plate = ((12*Moment of Inertia)/(Width of Full Size Bearing Plate))^(1/3)

Thickness of Plate given Radius of Plate to which they are Bent Formula

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

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 Thickness of Plate given Radius of Plate to which they are Bent?

Thickness of Plate given Radius of Plate to which they are Bent calculator uses Thickness of Plate = (2*Maximum Bending Stress in Plates*Radius of Plate)/(Modulus of Elasticity Leaf Spring) to calculate the Thickness of Plate, Thickness of plate given radius of plate to which they are bent is defined as the distance through an object, as distinct from width or height. Thickness of Plate is denoted by tp symbol.

How to calculate Thickness of Plate given Radius of Plate to which they are Bent using this online calculator? To use this online calculator for Thickness of Plate given Radius of Plate to which they are Bent, enter Maximum Bending Stress in Plates (σ), Radius of Plate (R) & Modulus of Elasticity Leaf Spring (E) and hit the calculate button. Here is how the Thickness of Plate given Radius of Plate to which they are Bent calculation can be explained with given input values -> 21000 = (2*15000000*0.007)/(10000000).

FAQ

What is Thickness of Plate given Radius of Plate to which they are Bent?
Thickness of plate given radius of plate to which they are bent is defined as the distance through an object, as distinct from width or height and is represented as tp = (2*σ*R)/(E) or Thickness of Plate = (2*Maximum Bending Stress in Plates*Radius of Plate)/(Modulus of Elasticity Leaf Spring). 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, 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 is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.
How to calculate Thickness of Plate given Radius of Plate to which they are Bent?
Thickness of plate given radius of plate to which they are bent is defined as the distance through an object, as distinct from width or height is calculated using Thickness of Plate = (2*Maximum Bending Stress in Plates*Radius of Plate)/(Modulus of Elasticity Leaf Spring). To calculate Thickness of Plate given Radius of Plate to which they are Bent, you need Maximum Bending Stress in Plates (σ), Radius of Plate (R) & Modulus of Elasticity Leaf Spring (E). With our tool, you need to enter the respective value for Maximum Bending Stress in Plates, Radius of Plate & Modulus of Elasticity Leaf 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 Thickness of Plate?
In this formula, Thickness of Plate uses Maximum Bending Stress in Plates, Radius of Plate & Modulus of Elasticity Leaf Spring. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Thickness of Plate = sqrt((6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Width of Full Size Bearing Plate))
  • Thickness of Plate = ((12*Moment of Inertia)/(Width of Full Size Bearing Plate))^(1/3)
  • Thickness of Plate = sqrt((6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Number of Plates*Width of Full Size Bearing Plate))
  • Thickness of Plate = (Maximum Bending Stress in Plates*Span of Spring^2)/(4*Modulus of Elasticity Leaf Spring*Deflection of Centre of Leaf Spring)
  • Thickness of Plate = sqrt((3*Point Load at Center of Spring*Span of Spring)/(2*Number of Plates*Width of Full Size Bearing Plate*Maximum Bending Stress in Plates))
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