Maximum Stress in Short Beams for Large Deflection Calculator

✖Axial Load is a force applied on a structure directly along an axis of the structure.ⓘ Axial Load [P]			+10% -10%
✖The Cross Sectional Area is the breadth times the depth of the beam structure.ⓘ Cross Sectional Area [A]			+10% -10%
✖Maximum Bending Moment occurs where shear force is zero.ⓘ Maximum Bending Moment [M_max]			+10% -10%
✖Deflection of Beam Deflection is the movement of a beam or node from its original position. It happens due to the forces and loads being applied to the body.ⓘ Deflection of Beam [δ]			+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%

✖Maximum Stress is the maximum amount of stress the taken by the beam/column before it breaks.ⓘ Maximum Stress in Short Beams for Large Deflection [σ_max]

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Maximum Stress in Short Beams for Large Deflection Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Stress = (Axial Load/Cross Sectional Area)+(((Maximum Bending Moment+Axial Load*Deflection of Beam)*Distance from Neutral Axis)/Area Moment of Inertia)
σ_max = (P/A)+(((M_max+P*δ)*y)/I)
This formula uses 7 Variables

Variables Used

Maximum Stress - (Measured in Pascal) - Maximum Stress is the maximum amount of stress the taken by the beam/column before it breaks.
Axial Load - (Measured in Newton) - Axial Load is a force applied on a structure directly along an axis of the structure.
Cross Sectional Area - (Measured in Square Meter) - The Cross Sectional Area is the breadth times the depth of the beam structure.
Maximum Bending Moment - (Measured in Newton Meter) - Maximum Bending Moment occurs where shear force is zero.
Deflection of Beam - (Measured in Meter) - Deflection of Beam Deflection is the movement of a beam or node from its original position. It happens due to the forces and loads being applied to the body.
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
Cross Sectional Area: 0.12 Square Meter --> 0.12 Square Meter No Conversion Required
Maximum Bending Moment: 7.7 Kilonewton Meter --> 7700 Newton Meter (Check conversion here)
Deflection of Beam: 5 Millimeter --> 0.005 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

σ_max = (P/A)+(((M_max+P*δ)*y)/I) --> (2000/0.12)+(((7700+2000*0.005)*0.025)/0.0016)

Evaluating ... ...

σ_max = 137135.416666667

STEP 3: Convert Result to Output's Unit

137135.416666667 Pascal -->0.137135416666667 Megapascal (Check conversion here)

FINAL ANSWER

0.137135416666667 ≈ 0.137135 Megapascal <-- Maximum Stress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Strength of Materials » Combined Axial and Bending Loads » Maximum Stress in Short Beams for Large Deflection

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Cummins College of Engineering for Women (CCEW), Pune

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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)

Maximum Stress in Short Beams for Large Deflection Formula

LaTeX Go

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

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 Maximum Stress in Short Beams for Large Deflection?

Maximum Stress in Short Beams for Large Deflection calculator uses Maximum Stress = (Axial Load/Cross Sectional Area)+(((Maximum Bending Moment+Axial Load*Deflection of Beam)*Distance from Neutral Axis)/Area Moment of Inertia) to calculate the Maximum Stress, Maximum Stress in Short Beams for Large Deflection formula is defined as force per unit area that the force acts upon. Thus, Stresses are either tensile or compressive. While the test is conducted, both the stress and strain are recorded. Maximum Stress is denoted by σ_max symbol.

How to calculate Maximum Stress in Short Beams for Large Deflection using this online calculator? To use this online calculator for Maximum Stress in Short Beams for Large Deflection, enter Axial Load (P), Cross Sectional Area (A), Maximum Bending Moment (M_max), Deflection of Beam (δ), Distance from Neutral Axis (y) & Area Moment of Inertia (I) and hit the calculate button. Here is how the Maximum Stress in Short Beams for Large Deflection calculation can be explained with given input values -> 1.4E-7 = (2000/0.12)+(((7700+2000*0.005)*0.025)/0.0016).

FAQ

What is Maximum Stress in Short Beams for Large Deflection?

Maximum Stress in Short Beams for Large Deflection formula is defined as force per unit area that the force acts upon. Thus, Stresses are either tensile or compressive. While the test is conducted, both the stress and strain are recorded and is represented as σ_max = (P/A)+(((M_max+P*δ)*y)/I) or Maximum Stress = (Axial Load/Cross Sectional Area)+(((Maximum Bending Moment+Axial Load*Deflection of Beam)*Distance from Neutral Axis)/Area Moment of Inertia). Axial Load is a force applied on a structure directly along an axis of the structure, The Cross Sectional Area is the breadth times the depth of the beam structure, Maximum Bending Moment occurs where shear force is zero, Deflection of Beam Deflection is the movement of a beam or node from its original position. It happens due to the forces and loads being applied to the body, 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 Maximum Stress in Short Beams for Large Deflection?

Maximum Stress in Short Beams for Large Deflection formula is defined as force per unit area that the force acts upon. Thus, Stresses are either tensile or compressive. While the test is conducted, both the stress and strain are recorded is calculated using Maximum Stress = (Axial Load/Cross Sectional Area)+(((Maximum Bending Moment+Axial Load*Deflection of Beam)*Distance from Neutral Axis)/Area Moment of Inertia). To calculate Maximum Stress in Short Beams for Large Deflection, you need Axial Load (P), Cross Sectional Area (A), Maximum Bending Moment (M_max), Deflection of Beam (δ), Distance from Neutral Axis (y) & Area Moment of Inertia (I). With our tool, you need to enter the respective value for Axial Load, Cross Sectional Area, Maximum Bending Moment, Deflection of Beam, 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.

How many ways are there to calculate Maximum Stress?

In this formula, Maximum Stress uses Axial Load, Cross Sectional Area, Maximum Bending Moment, Deflection of Beam, Distance from Neutral Axis & Area Moment of Inertia. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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