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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. Check FAQs
σ=Etp2R
σ - Maximum Bending Stress in Plates?E - Modulus of Elasticity Leaf Spring?tp - Thickness of Plate?R - Radius of Plate?

Maximum Bending Stress Developed given Radius of Plate to which they are Bent Example

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Here is how the Maximum Bending Stress Developed given Radius of Plate to which they are Bent equation looks like with Values.

Here is how the Maximum Bending Stress Developed given Radius of Plate to which they are Bent equation looks like with Units.

Here is how the Maximum Bending Stress Developed given Radius of Plate to which they are Bent equation looks like.

0.8571Edit=10Edit1.2Edit27Edit
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Maximum Bending Stress Developed given Radius of Plate to which they are Bent Solution

Follow our step by step solution on how to calculate Maximum Bending Stress Developed given Radius of Plate to which they are Bent?

FIRST Step Consider the formula
σ=Etp2R
Next Step Substitute values of Variables
σ=10MPa1.2mm27mm
Next Step Convert Units
σ=1E+7Pa0.0012m20.007m
Next Step Prepare to Evaluate
σ=1E+70.001220.007
Next Step Evaluate
σ=857142.857142857Pa
Next Step Convert to Output's Unit
σ=0.857142857142857MPa
LAST Step Rounding Answer
σ=0.8571MPa

Maximum Bending Stress Developed given Radius of Plate to which they are Bent Formula Elements

Variables
Maximum Bending Stress in Plates
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.
Symbol: σ
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.
Modulus of Elasticity Leaf Spring
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.
Symbol: E
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.
Thickness 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.
Symbol: tp
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Radius of Plate
The radius of plate is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.
Symbol: R
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other Formulas to find Maximum Bending Stress in Plates

​Go Maximum Bending Stress Developed in Plates given Point Load at Center
σ=3wl2nBtp2
​Go Maximum Bending Stress Developed given Central Deflection of Leaf Spring
σ=4Etpδl2

Other formulas in Stress and Strain category

​Go Total Resisting Moment by n Plates given Bending Moment on each Plate
Mt=nMb
​Go Number of Plates in Leaf Spring given Total Resisting Moment by n Plates
n=6MbσBtp2
​Go Total Resisting Moment by n Plates
Mt=nσBtp26
​Go Moment of Inertia of each Leaf Spring Plate
I=Btp312

How to Evaluate Maximum Bending Stress Developed given Radius of Plate to which they are Bent?

Maximum Bending Stress Developed given Radius of Plate to which they are Bent evaluator uses Maximum Bending Stress in Plates = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Radius of Plate) to evaluate the Maximum Bending Stress in Plates, Maximum bending stress developed given radius of plate to which they are bent is defined as a more specific type of normal stress. Maximum Bending Stress in Plates is denoted by σ symbol.

How to evaluate Maximum Bending Stress Developed given Radius of Plate to which they are Bent using this online evaluator? To use this online evaluator for Maximum Bending Stress Developed given Radius of Plate to which they are Bent, enter Modulus of Elasticity Leaf Spring (E), Thickness of Plate (tp) & Radius of Plate (R) and hit the calculate button.

FAQs on Maximum Bending Stress Developed given Radius of Plate to which they are Bent

What is the formula to find Maximum Bending Stress Developed given Radius of Plate to which they are Bent?
The formula of Maximum Bending Stress Developed given Radius of Plate to which they are Bent is expressed as Maximum Bending Stress in Plates = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Radius of Plate). Here is an example- 2.5E-6 = (10000000*0.0012)/(2*0.007).
How to calculate Maximum Bending Stress Developed given Radius of Plate to which they are Bent?
With Modulus of Elasticity Leaf Spring (E), Thickness of Plate (tp) & Radius of Plate (R) we can find Maximum Bending Stress Developed given Radius of Plate to which they are Bent using the formula - Maximum Bending Stress in Plates = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Radius of Plate).
What are the other ways to Calculate Maximum Bending Stress in Plates?
Here are the different ways to Calculate Maximum Bending Stress in Plates-
  • 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)OpenImg
  • Maximum Bending Stress in Plates=(4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Span of Spring^2)OpenImg
Can the Maximum Bending Stress Developed given Radius of Plate to which they are Bent be negative?
No, the Maximum Bending Stress Developed given Radius of Plate to which they are Bent, measured in Pressure cannot be negative.
Which unit is used to measure Maximum Bending Stress Developed given Radius of Plate to which they are Bent?
Maximum Bending Stress Developed given Radius of Plate to which they are Bent is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Maximum Bending Stress Developed given Radius of Plate to which they are Bent can be measured.
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