Axial Load given Maximum Stress for Short Beams Calculator

✖The Cross Sectional Area is the breadth times the depth of the beam structure.ⓘ Cross Sectional Area [A]			+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%

✖Axial Load is a force applied on a structure directly along an axis of the structure.ⓘ Axial Load given Maximum Stress for Short Beams [P]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Combined Axial and Bending Loads Formulas PDF PDF Image

Axial Load given Maximum Stress for Short Beams Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 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

Cross Sectional Area: 0.12 Square Meter --> 0.12 Square Meter 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

P = A*(σ_max-((M_max*y)/I)) --> 0.12*(136979-((7700*0.025)/0.0016))

Evaluating ... ...

P = 1999.98

STEP 3: Convert Result to Output's Unit

1999.98 Newton --> No Conversion Required

FINAL ANSWER

1999.98 Newton <-- Axial Load

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Strength of Materials » Combined Axial and Bending Loads » Axial Load given Maximum Stress for Short Beams

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has verified this Calculator and 100+ more calculators!

< 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)

Axial Load given Maximum Stress for Short Beams Formula

LaTeX Go

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

Define Axial Load

An Axial Load is the compression or tension force acting on a member. If the axial load acts through the centroid of the member it is called concentric loading. If the force is not acting through the centroid, it's called eccentric loading. Eccentric loading produces a moment in the beam as a result of the load being a distance away from the centroid.

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 Axial Load given Maximum Stress for Short Beams?

Axial Load given Maximum Stress for Short Beams calculator uses Axial Load = Cross Sectional Area*(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)) to calculate the Axial Load, The Axial Load given Maximum Stress for Short Beams formula is defined as applying a force on a structure directly along an axis of the structure. Axial Load is denoted by P symbol.

How to calculate Axial Load given Maximum Stress for Short Beams using this online calculator? To use this online calculator for Axial Load given Maximum Stress for Short Beams, enter Cross Sectional Area (A), 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 Axial Load given Maximum Stress for Short Beams calculation can be explained with given input values -> 1999.98 = 0.12*(136979-((7700*0.025)/0.0016)).

FAQ

What is Axial Load given Maximum Stress for Short Beams?

The Axial Load given Maximum Stress for Short Beams formula is defined as applying a force on a structure directly along an axis of the structure and is represented as P = A*(σ_max-((M_max*y)/I)) or Axial Load = Cross Sectional Area*(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)). The Cross Sectional Area is the breadth times the depth of the beam 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 Axial Load given Maximum Stress for Short Beams?

The Axial Load given Maximum Stress for Short Beams formula is defined as applying a force on a structure directly along an axis of the structure is calculated using Axial Load = Cross Sectional Area*(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)). To calculate Axial Load given Maximum Stress for Short Beams, you need Cross Sectional Area (A), 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 Cross Sectional Area, 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.

Home

FREE PDFs

🔍 Search