Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams Calculator

✖Maximum Stress is the maximum amount of stress the taken by the beam/column before it breaks.ⓘ Maximum Stress [σ_max]			+10% -10%
✖The Cross Sectional Area is the breadth times the depth of the beam structure.ⓘ Cross Sectional Area [A]			+10% -10%
✖Area Moment of Inertia is a property of a two-dimensional plane shape where it shows how its points are dispersed in an arbitrary axis in the cross-sectional plane.ⓘ Area Moment of Inertia [I]			+10% -10%
✖Axial Load is a force applied on a structure directly along an axis of the structure.ⓘ Axial Load [P]			+10% -10%
✖Maximum Bending Moment occurs where shear force is zero.ⓘ Maximum Bending Moment [M_max]			+10% -10%

✖Distance from Neutral Axis is measured between N.A. and the extreme point.ⓘ Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams [y]

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Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance from Neutral Axis = ((Maximum Stress*Cross Sectional Area*Area Moment of Inertia)-(Axial Load*Area Moment of Inertia))/(Maximum Bending Moment*Cross Sectional Area)
y = ((σ_max*A*I)-(P*I))/(M_max*A)
This formula uses 6 Variables

Variables Used

Distance from Neutral Axis - (Measured in Meter) - Distance from Neutral Axis is measured between N.A. and the extreme point.
Maximum Stress - (Measured in Pascal) - Maximum Stress is the maximum amount of stress the taken by the beam/column before it breaks.
Cross Sectional Area - (Measured in Square Meter) - The Cross Sectional Area is the breadth times the depth of the beam structure.
Area Moment of Inertia - (Measured in Meter⁴) - Area Moment of Inertia is a property of a two-dimensional plane shape where it shows how its points are dispersed in an arbitrary axis in the cross-sectional plane.
Axial Load - (Measured in Newton) - Axial Load is a force applied on a structure directly along an axis of the structure.
Maximum Bending Moment - (Measured in Newton Meter) - Maximum Bending Moment occurs where shear force is zero.

STEP 1: Convert Input(s) to Base Unit

Maximum Stress: 0.136979 Megapascal --> 136979 Pascal (Check conversion here)
Cross Sectional Area: 0.12 Square Meter --> 0.12 Square Meter No Conversion Required
Area Moment of Inertia: 0.0016 Meter⁴ --> 0.0016 Meter⁴ No Conversion Required
Axial Load: 2000 Newton --> 2000 Newton No Conversion Required
Maximum Bending Moment: 7.7 Kilonewton Meter --> 7700 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y = ((σ_max*A*I)-(P*I))/(M_max*A) --> ((136979*0.12*0.0016)-(2000*0.0016))/(7700*0.12)

Evaluating ... ...

y = 0.0249999653679654

STEP 3: Convert Result to Output's Unit

0.0249999653679654 Meter -->24.9999653679654 Millimeter (Check conversion here)

FINAL ANSWER

24.9999653679654 ≈ 24.99997 Millimeter <-- Distance from Neutral Axis

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< Combined Axial and Bending Loads Calculators

Maximum Bending Moment given Maximum Stress for Short Beams

LaTeX Go Maximum Bending Moment = ((Maximum Stress-(Axial Load/Cross Sectional Area))*Area Moment of Inertia)/Distance from Neutral Axis

Cross-Sectional Area given Maximum Stress for Short Beams

LaTeX Go Cross Sectional Area = Axial Load/(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia))

Axial Load given Maximum Stress for Short Beams

LaTeX Go Axial Load = Cross Sectional Area*(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia))

Maximum Stress for Short Beams

LaTeX Go Maximum Stress = (Axial Load/Cross Sectional Area)+((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)

Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams Formula

LaTeX Go

Define Stress

The Stress is a physical quantity that expresses the internal forces that neighboring particles of a continuous material exert on each other, while a strain is the measure of the deformation of the material. Stress is force per unit area - strain is the deformation of a solid due to stress.

How to Calculate Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams?

Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams calculator uses Distance from Neutral Axis = ((Maximum Stress*Cross Sectional Area*Area Moment of Inertia)-(Axial Load*Area Moment of Inertia))/(Maximum Bending Moment*Cross Sectional Area) to calculate the Distance from Neutral Axis, The Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams formula is defined as the length in between the neutral axis and the outermost fiber. Distance from Neutral Axis is denoted by y symbol.

How to calculate Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams using this online calculator? To use this online calculator for Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams, enter Maximum Stress (σ_max), Cross Sectional Area (A), Area Moment of Inertia (I), Axial Load (P) & Maximum Bending Moment (M_max) and hit the calculate button. Here is how the Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams calculation can be explained with given input values -> 0.025 = ((136979*0.12*0.0016)-(2000*0.0016))/(7700*0.12).

FAQ

What is Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams?

The Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams formula is defined as the length in between the neutral axis and the outermost fiber and is represented as y = ((σ_max*A*I)-(P*I))/(M_max*A) or Distance from Neutral Axis = ((Maximum Stress*Cross Sectional Area*Area Moment of Inertia)-(Axial Load*Area Moment of Inertia))/(Maximum Bending Moment*Cross Sectional Area). Maximum Stress is the maximum amount of stress the taken by the beam/column before it breaks, The Cross Sectional Area is the breadth times the depth of the beam structure, Area Moment of Inertia is a property of a two-dimensional plane shape where it shows how its points are dispersed in an arbitrary axis in the cross-sectional plane, Axial Load is a force applied on a structure directly along an axis of the structure & Maximum Bending Moment occurs where shear force is zero.

How to calculate Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams?

The Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams formula is defined as the length in between the neutral axis and the outermost fiber is calculated using Distance from Neutral Axis = ((Maximum Stress*Cross Sectional Area*Area Moment of Inertia)-(Axial Load*Area Moment of Inertia))/(Maximum Bending Moment*Cross Sectional Area). To calculate Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams, you need Maximum Stress (σ_max), Cross Sectional Area (A), Area Moment of Inertia (I), Axial Load (P) & Maximum Bending Moment (M_max). With our tool, you need to enter the respective value for Maximum Stress, Cross Sectional Area, Area Moment of Inertia, Axial Load & Maximum Bending Moment 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 Distance from Neutral Axis?

In this formula, Distance from Neutral Axis uses Maximum Stress, Cross Sectional Area, Area Moment of Inertia, Axial Load & Maximum Bending Moment. We can use 2 other way(s) to calculate the same, which is/are as follows -

Distance from Neutral Axis = (Area Moment of Inertia*Bending Stress)/Moment of Resistance
Distance from Neutral Axis = (Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Young's Modulus

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