Maximum Bending Moment 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%
✖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%
✖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%
✖Distance from Neutral Axis is measured between N.A. and the extreme point.ⓘ Distance from Neutral Axis [y]			+10% -10%

✖Maximum Bending Moment occurs where shear force is zero.ⓘ Maximum Bending Moment given Maximum Stress for Short Beams [M_max]

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Maximum Bending Moment given Maximum Stress for Short Beams Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Maximum Bending Moment - (Measured in Newton Meter) - Maximum Bending Moment occurs where shear force is zero.
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.
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.
Distance from Neutral Axis - (Measured in Meter) - Distance from Neutral Axis is measured between N.A. and the extreme point.

STEP 1: Convert Input(s) to Base Unit

Maximum Stress: 0.136979 Megapascal --> 136979 Pascal (Check conversion here)
Axial Load: 2000 Newton --> 2000 Newton No Conversion Required
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
Distance from Neutral Axis: 25 Millimeter --> 0.025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_max = ((σ_max-(P/A))*I)/y --> ((136979-(2000/0.12))*0.0016)/0.025

Evaluating ... ...

M_max = 7699.98933333333

STEP 3: Convert Result to Output's Unit

7699.98933333333 Newton Meter -->7.69998933333333 Kilonewton Meter (Check conversion here)

FINAL ANSWER

7.69998933333333 ≈ 7.699989 Kilonewton Meter <-- Maximum Bending Moment

(Calculation completed in 00.004 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)

Maximum Bending Moment given Maximum Stress for Short Beams Formula

LaTeX Go

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

Define Bending Moment

The Bending moment is an internally developed moment to counteract the externally applied loads ( hence to attain equilibrium), developed inside the body which you can not see physically. Please note that it is not an applied moment on the body, it is only developed inside when the body is subjected to some external stimuli.

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 Bending Moment given Maximum Stress for Short Beams?

Maximum Bending Moment given Maximum Stress for Short Beams calculator uses Maximum Bending Moment = ((Maximum Stress-(Axial Load/Cross Sectional Area))*Area Moment of Inertia)/Distance from Neutral Axis to calculate the Maximum Bending Moment, The Maximum Bending Moment given Maximum Stress for Short Beams formula is defined as the bending of the beam or any structure upon the action of the arbitrary load. The maximum bending moment in the beam occurs at the point of maximum stress. Maximum Bending Moment is denoted by M_max symbol.

How to calculate Maximum Bending Moment given Maximum Stress for Short Beams using this online calculator? To use this online calculator for Maximum Bending Moment given Maximum Stress for Short Beams, enter Maximum Stress (σ_max), Axial Load (P), Cross Sectional Area (A), Area Moment of Inertia (I) & Distance from Neutral Axis (y) and hit the calculate button. Here is how the Maximum Bending Moment given Maximum Stress for Short Beams calculation can be explained with given input values -> 0.0077 = ((136979-(2000/0.12))*0.0016)/0.025.

FAQ

What is Maximum Bending Moment given Maximum Stress for Short Beams?

The Maximum Bending Moment given Maximum Stress for Short Beams formula is defined as the bending of the beam or any structure upon the action of the arbitrary load. The maximum bending moment in the beam occurs at the point of maximum stress and is represented as M_max = ((σ_max-(P/A))*I)/y or Maximum Bending Moment = ((Maximum Stress-(Axial Load/Cross Sectional Area))*Area Moment of Inertia)/Distance from Neutral Axis. Maximum Stress is the maximum amount of stress the taken by the beam/column before it breaks, 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, 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 & Distance from Neutral Axis is measured between N.A. and the extreme point.

How to calculate Maximum Bending Moment given Maximum Stress for Short Beams?

The Maximum Bending Moment given Maximum Stress for Short Beams formula is defined as the bending of the beam or any structure upon the action of the arbitrary load. The maximum bending moment in the beam occurs at the point of maximum stress is calculated using Maximum Bending Moment = ((Maximum Stress-(Axial Load/Cross Sectional Area))*Area Moment of Inertia)/Distance from Neutral Axis. To calculate Maximum Bending Moment given Maximum Stress for Short Beams, you need Maximum Stress (σ_max), Axial Load (P), Cross Sectional Area (A), Area Moment of Inertia (I) & Distance from Neutral Axis (y). With our tool, you need to enter the respective value for Maximum Stress, Axial Load, Cross Sectional Area, Area Moment of Inertia & Distance from Neutral Axis 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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