Force on Layer at Distance from Neutral Layer of Beam Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force on Layer = ((Young's Modulus of Beam*Distance from Neutral Layer*Area of Layer)/Radius of Neutral Layer)
F = ((E*dnl*dA)/R)
This formula uses 5 Variables
Variables Used
Force on Layer - (Measured in Newton) - Force on Layer in terms of stress on the layer is defined as any interaction that, when unopposed, will change the motion of an object.
Young's Modulus of Beam - (Measured in Pascal) - Young's Modulus of Beam is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression.
Distance from Neutral Layer - (Measured in Meter) - Distance from Neutral Layer is the perpendicular distance from a given point in a beam or structural member to the neutral axis when the member is subjected to bending.
Area of Layer - (Measured in Square Meter) - Area of Layer is the total surface area of a specific layer within a composite material or system. A layer could be any thin section of material that contributes to the overall design.
Radius of Neutral Layer - (Measured in Meter) - Radius of Neutral Layer is the location within a material under bending where the stress is zero. The neutral layer lies between the compressive and tensile regions of the material.
STEP 1: Convert Input(s) to Base Unit
Young's Modulus of Beam: 14 Megapascal --> 14000000 Pascal (Check conversion ​here)
Distance from Neutral Layer: 12 Millimeter --> 0.012 Meter (Check conversion ​here)
Area of Layer: 8100 Square Millimeter --> 0.0081 Square Meter (Check conversion ​here)
Radius of Neutral Layer: 2 Millimeter --> 0.002 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = ((E*dnl*dA)/R) --> ((14000000*0.012*0.0081)/0.002)
Evaluating ... ...
F = 680400
STEP 3: Convert Result to Output's Unit
680400 Newton --> No Conversion Required
FINAL ANSWER
680400 Newton <-- Force on Layer
(Calculation completed in 00.020 seconds)

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Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Indian Institute of Information Technology (IIIT), Guwahati
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Stress Variation Calculators

Radius of Neutral Axis using Moment of Resistance
​ LaTeX ​ Go Radius of Neutral Layer = (Young's Modulus of Beam*MOI of Area of Circular Section)/Moment of Resistance
Distance between Neutral and Considered Layer using Moment of Resistance
​ LaTeX ​ Go Distance from Neutral Layer = (Stress in Layer*MOI of Area of Circular Section)/Moment of Resistance
Moment of Resistance using Stress in Layer of Beam
​ LaTeX ​ Go Moment of Resistance = (Stress in Layer*MOI of Area of Circular Section)/Distance from Neutral Layer
Stress in Layer of Beam given Moment of Resistance
​ LaTeX ​ Go Stress in Layer = (Moment of Resistance*Distance from Neutral Layer)/MOI of Area of Circular Section

Force on Layer at Distance from Neutral Layer of Beam Formula

​LaTeX ​Go
Force on Layer = ((Young's Modulus of Beam*Distance from Neutral Layer*Area of Layer)/Radius of Neutral Layer)
F = ((E*dnl*dA)/R)

What is meant by Bending Stress?

Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Bending stress occurs when operating industrial equipment and in concrete and metallic structures when they are subjected to a tensile load.

How to Calculate Force on Layer at Distance from Neutral Layer of Beam?

Force on Layer at Distance from Neutral Layer of Beam calculator uses Force on Layer = ((Young's Modulus of Beam*Distance from Neutral Layer*Area of Layer)/Radius of Neutral Layer) to calculate the Force on Layer, The Force on Layer at Distance from Neutral Layer of Beam formula is defined as the measure of the force exerted on a layer at a certain distance from the neutral layer of a beam, which is essential in calculating the bending stress in a beam, providing insights into the beam's structural integrity and potential failure points. Force on Layer is denoted by F symbol.

How to calculate Force on Layer at Distance from Neutral Layer of Beam using this online calculator? To use this online calculator for Force on Layer at Distance from Neutral Layer of Beam, enter Young's Modulus of Beam (E), Distance from Neutral Layer (dnl), Area of Layer (dA) & Radius of Neutral Layer (R) and hit the calculate button. Here is how the Force on Layer at Distance from Neutral Layer of Beam calculation can be explained with given input values -> 680400 = ((14000000*0.012*0.0081)/0.002).

FAQ

What is Force on Layer at Distance from Neutral Layer of Beam?
The Force on Layer at Distance from Neutral Layer of Beam formula is defined as the measure of the force exerted on a layer at a certain distance from the neutral layer of a beam, which is essential in calculating the bending stress in a beam, providing insights into the beam's structural integrity and potential failure points and is represented as F = ((E*dnl*dA)/R) or Force on Layer = ((Young's Modulus of Beam*Distance from Neutral Layer*Area of Layer)/Radius of Neutral Layer). Young's Modulus of Beam is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression, Distance from Neutral Layer is the perpendicular distance from a given point in a beam or structural member to the neutral axis when the member is subjected to bending, Area of Layer is the total surface area of a specific layer within a composite material or system. A layer could be any thin section of material that contributes to the overall design & Radius of Neutral Layer is the location within a material under bending where the stress is zero. The neutral layer lies between the compressive and tensile regions of the material.
How to calculate Force on Layer at Distance from Neutral Layer of Beam?
The Force on Layer at Distance from Neutral Layer of Beam formula is defined as the measure of the force exerted on a layer at a certain distance from the neutral layer of a beam, which is essential in calculating the bending stress in a beam, providing insights into the beam's structural integrity and potential failure points is calculated using Force on Layer = ((Young's Modulus of Beam*Distance from Neutral Layer*Area of Layer)/Radius of Neutral Layer). To calculate Force on Layer at Distance from Neutral Layer of Beam, you need Young's Modulus of Beam (E), Distance from Neutral Layer (dnl), Area of Layer (dA) & Radius of Neutral Layer (R). With our tool, you need to enter the respective value for Young's Modulus of Beam, Distance from Neutral Layer, Area of Layer & Radius of Neutral Layer 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 Force on Layer?
In this formula, Force on Layer uses Young's Modulus of Beam, Distance from Neutral Layer, Area of Layer & Radius of Neutral Layer. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Force on Layer = Stress in Layer*Area of Layer
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