Maximum Stress for Short Beams Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Stress = (Axial Load/Cross Sectional Area)+((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)
σmax = (P/A)+((Mmax*y)/I)
This formula uses 6 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.
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)
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
σmax = (P/A)+((Mmax*y)/I) --> (2000/0.12)+((7700*0.025)/0.0016)
Evaluating ... ...
σmax = 136979.166666667
STEP 3: Convert Result to Output's Unit
136979.166666667 Pascal -->0.136979166666667 Megapascal (Check conversion ​here)
FINAL ANSWER
0.136979166666667 0.136979 Megapascal <-- Maximum Stress
(Calculation completed in 00.007 seconds)

Credits

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Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Don Bosco College of Engineering (DBCE), Goa
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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 for Short Beams Formula

​LaTeX ​Go
Maximum Stress = (Axial Load/Cross Sectional Area)+((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)
σmax = (P/A)+((Mmax*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 for Short Beams?

Maximum Stress for Short Beams calculator uses Maximum Stress = (Axial Load/Cross Sectional Area)+((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia) to calculate the Maximum Stress, The Maximum Stress for Short Beams 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 σmax symbol.

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

FAQ

What is Maximum Stress for Short Beams?
The Maximum Stress for Short Beams 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 σmax = (P/A)+((Mmax*y)/I) or Maximum Stress = (Axial Load/Cross Sectional Area)+((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, The Cross Sectional Area is the breadth times the depth of the beam structure, 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 Maximum Stress for Short Beams?
The Maximum Stress for Short Beams 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*Distance from Neutral Axis)/Area Moment of Inertia). To calculate Maximum Stress for Short Beams, you need Axial Load (P), Cross Sectional Area (A), Maximum Bending Moment (Mmax), 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, 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, 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+Axial Load*Deflection of Beam)*Distance from Neutral Axis)/Area Moment of Inertia)
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