Cross-Sectional Area given Maximum Stress for Short Beams Calculator

✖Axial Load is a force applied on a structure directly along an axis of the structure.ⓘ Axial Load [P]			+10% -10%
✖Maximum Stress is the maximum amount of stress the taken by the beam/column before it breaks.ⓘ Maximum Stress [σ_max]			+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.ⓘ Distance from Neutral Axis [y]			+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%

✖The Cross Sectional Area is the breadth times the depth of the beam structure.ⓘ Cross-Sectional Area given Maximum Stress for Short Beams [A]

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Cross-Sectional Area given Maximum Stress for Short Beams Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Cross Sectional Area - (Measured in Square Meter) - The Cross Sectional Area is the breadth times the depth of the beam structure.
Axial Load - (Measured in Newton) - Axial Load is a force applied on a structure directly along an axis of the structure.
Maximum Stress - (Measured in Pascal) - Maximum Stress is the maximum amount of stress the taken by the beam/column before it breaks.
Maximum Bending Moment - (Measured in Newton Meter) - Maximum Bending Moment occurs where shear force is zero.
Distance from Neutral Axis - (Measured in Meter) - Distance from Neutral Axis is measured between N.A. and the extreme point.
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.

STEP 1: Convert Input(s) to Base Unit

Axial Load: 2000 Newton --> 2000 Newton No Conversion Required
Maximum Stress: 0.136979 Megapascal --> 136979 Pascal (Check conversion here)
Maximum Bending Moment: 7.7 Kilonewton Meter --> 7700 Newton Meter (Check conversion here)
Distance from Neutral Axis: 25 Millimeter --> 0.025 Meter (Check conversion here)
Area Moment of Inertia: 0.0016 Meter⁴ --> 0.0016 Meter⁴ No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = P/(σ_max-((M_max*y)/I)) --> 2000/(136979-((7700*0.025)/0.0016))

Evaluating ... ...

A = 0.120001200012

STEP 3: Convert Result to Output's Unit

0.120001200012 Square Meter --> No Conversion Required

FINAL ANSWER

0.120001200012 ≈ 0.120001 Square Meter <-- Cross Sectional Area

(Calculation completed in 00.020 seconds)

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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)

Cross-Sectional Area given Maximum Stress for Short Beams Formula

LaTeX Go

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

Define Cross-Sectional Area

The Cross-sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder - is sliced perpendicular to some specified axis at a point. For example, the cross-section of a cylinder - when sliced parallel to its base - is a circle.

Define Stress

Stress is a physical quantity that expresses the internal forces that neighbouring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material. Thus, Stress is defined as “The restoring force per unit area of the material”. It is a tensor quantity. Denoted by the Greek letter σ. Measured using Pascal or N/m2.

How to Calculate Cross-Sectional Area given Maximum Stress for Short Beams?

Cross-Sectional Area given Maximum Stress for Short Beams calculator uses Cross Sectional Area = Axial Load/(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)) to calculate the Cross Sectional Area, The Cross-Sectional Area given Maximum Stress for Short Beams formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to some specified axis at a point. Cross Sectional Area is denoted by A symbol.

How to calculate Cross-Sectional Area given Maximum Stress for Short Beams using this online calculator? To use this online calculator for Cross-Sectional Area given Maximum Stress for Short Beams, enter Axial Load (P), Maximum Stress (σ_max), Maximum Bending Moment (M_max), Distance from Neutral Axis (y) & Area Moment of Inertia (I) and hit the calculate button. Here is how the Cross-Sectional Area given Maximum Stress for Short Beams calculation can be explained with given input values -> 0.120001 = 2000/(136979-((7700*0.025)/0.0016)).

FAQ

What is Cross-Sectional Area given Maximum Stress for Short Beams?

The Cross-Sectional Area given Maximum Stress for Short Beams formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to some specified axis at a point and is represented as A = P/(σ_max-((M_max*y)/I)) or Cross Sectional Area = Axial Load/(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)). Axial Load is a force applied on a structure directly along an axis of the structure, Maximum Stress is the maximum amount of stress the taken by the beam/column before it breaks, Maximum Bending Moment occurs where shear force is zero, Distance from Neutral Axis is measured between N.A. and the extreme point & 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.

How to calculate Cross-Sectional Area given Maximum Stress for Short Beams?

The Cross-Sectional Area given Maximum Stress for Short Beams formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to some specified axis at a point is calculated using Cross Sectional Area = Axial Load/(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)). To calculate Cross-Sectional Area given Maximum Stress for Short Beams, you need Axial Load (P), Maximum Stress (σ_max), Maximum Bending Moment (M_max), Distance from Neutral Axis (y) & Area Moment of Inertia (I). With our tool, you need to enter the respective value for Axial Load, Maximum Stress, Maximum Bending Moment, Distance from Neutral Axis & Area Moment of Inertia and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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