Cross-Sectional Area given Total Unit Stress in Eccentric Loading Calculator

✖Axial Load is defined as applying a force on a structure directly along an axis of the structure.ⓘ Axial Load [P]			+10% -10%
✖Total Unit Stress is defined as the the total force acting on unit area.ⓘ Total Unit Stress [f]			+10% -10%
✖Outermost Fiber Distance is defined as the distance in between the Neutral Axis and Outermost Fiber.ⓘ Outermost Fiber Distance [c]			+10% -10%
✖Distance from Load applied is defined as the length from which the load is applied.ⓘ Distance from Load applied [e]			+10% -10%
✖Moment of Inertia about Neutral Axis is defined as the moment of inertia of the beam about its neutral axis.ⓘ Moment of Inertia about Neutral Axis [I_neutral]			+10% -10%

✖Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area given Total Unit Stress in Eccentric Loading [A_cs]

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Cross-Sectional Area given Total Unit Stress in Eccentric Loading Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross-Sectional Area = Axial Load/(Total Unit Stress-((Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis)))
A_cs = P/(f-((P*c*e/I_neutral)))
This formula uses 6 Variables

Variables Used

Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Axial Load - (Measured in Kilonewton) - Axial Load is defined as applying a force on a structure directly along an axis of the structure.
Total Unit Stress - (Measured in Pascal) - Total Unit Stress is defined as the the total force acting on unit area.
Outermost Fiber Distance - (Measured in Millimeter) - Outermost Fiber Distance is defined as the distance in between the Neutral Axis and Outermost Fiber.
Distance from Load applied - (Measured in Millimeter) - Distance from Load applied is defined as the length from which the load is applied.
Moment of Inertia about Neutral Axis - (Measured in Kilogram Square Meter) - Moment of Inertia about Neutral Axis is defined as the moment of inertia of the beam about its neutral axis.

STEP 1: Convert Input(s) to Base Unit

Axial Load: 9.99 Kilonewton --> 9.99 Kilonewton No Conversion Required
Total Unit Stress: 100 Pascal --> 100 Pascal No Conversion Required
Outermost Fiber Distance: 17 Millimeter --> 17 Millimeter No Conversion Required
Distance from Load applied: 11 Millimeter --> 11 Millimeter No Conversion Required
Moment of Inertia about Neutral Axis: 23 Kilogram Square Meter --> 23 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_cs = P/(f-((P*c*e/I_neutral))) --> 9.99/(100-((9.99*17*11/23)))

Evaluating ... ...

A_cs = 0.532035103156043

STEP 3: Convert Result to Output's Unit

0.532035103156043 Square Meter --> No Conversion Required

FINAL ANSWER

0.532035103156043 ≈ 0.532035 Square Meter <-- Cross-Sectional Area

(Calculation completed in 00.008 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Indian Institute of Information Technology (IIIT), Bhopal

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< Eccentric Loading Calculators

Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading

LaTeX Go Moment of Inertia about Neutral Axis = (Axial Load*Outermost Fiber Distance*Distance from Load applied)/(Total Unit Stress-(Axial Load/Cross-Sectional Area))

Cross-Sectional Area given Total Unit Stress in Eccentric Loading

LaTeX Go Cross-Sectional Area = Axial Load/(Total Unit Stress-((Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis)))

Total Unit Stress in Eccentric Loading

LaTeX Go Total Unit Stress = (Axial Load/Cross-Sectional Area)+(Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis)

Radius of Gyration in Eccentric Loading

LaTeX Go Radius of Gyration = sqrt(Moment of Inertia/Cross-Sectional Area)

Cross-Sectional Area given Total Unit Stress in Eccentric Loading Formula

LaTeX Go

Cross-Sectional Area = Axial Load/(Total Unit Stress-((Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis)))
A_cs = P/(f-((P*c*e/I_neutral)))

Define Stress

In continuum mechanics, stress is a physical quantity that expresses the internal forces that neighboring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material.

How to Calculate Cross-Sectional Area given Total Unit Stress in Eccentric Loading?

Cross-Sectional Area given Total Unit Stress in Eccentric Loading calculator uses Cross-Sectional Area = Axial Load/(Total Unit Stress-((Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis))) to calculate the Cross-Sectional Area, Cross-Sectional Area given Total Unit Stress in Eccentric Loading 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_cs symbol.

How to calculate Cross-Sectional Area given Total Unit Stress in Eccentric Loading using this online calculator? To use this online calculator for Cross-Sectional Area given Total Unit Stress in Eccentric Loading, enter Axial Load (P), Total Unit Stress (f), Outermost Fiber Distance (c), Distance from Load applied (e) & Moment of Inertia about Neutral Axis (I_neutral) and hit the calculate button. Here is how the Cross-Sectional Area given Total Unit Stress in Eccentric Loading calculation can be explained with given input values -> 100.0814 = 9990/(100-((9990*0.017*0.011/23))).

FAQ

What is Cross-Sectional Area given Total Unit Stress in Eccentric Loading?

Cross-Sectional Area given Total Unit Stress in Eccentric Loading 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_cs = P/(f-((P*c*e/I_neutral))) or Cross-Sectional Area = Axial Load/(Total Unit Stress-((Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis))). Axial Load is defined as applying a force on a structure directly along an axis of the structure, Total Unit Stress is defined as the the total force acting on unit area, Outermost Fiber Distance is defined as the distance in between the Neutral Axis and Outermost Fiber, Distance from Load applied is defined as the length from which the load is applied & Moment of Inertia about Neutral Axis is defined as the moment of inertia of the beam about its neutral axis.

How to calculate Cross-Sectional Area given Total Unit Stress in Eccentric Loading?

Cross-Sectional Area given Total Unit Stress in Eccentric Loading 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/(Total Unit Stress-((Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis))). To calculate Cross-Sectional Area given Total Unit Stress in Eccentric Loading, you need Axial Load (P), Total Unit Stress (f), Outermost Fiber Distance (c), Distance from Load applied (e) & Moment of Inertia about Neutral Axis (I_neutral). With our tool, you need to enter the respective value for Axial Load, Total Unit Stress, Outermost Fiber Distance, Distance from Load applied & Moment of Inertia about Neutral Axis 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 Cross-Sectional Area?

In this formula, Cross-Sectional Area uses Axial Load, Total Unit Stress, Outermost Fiber Distance, Distance from Load applied & Moment of Inertia about Neutral Axis. We can use 2 other way(s) to calculate the same, which is/are as follows -

Cross-Sectional Area = Moment of Inertia/(Radius of Gyration^2)
Cross-Sectional Area = Axial Load/(Total Stress-(((Eccentricity with respect to Principal Axis YY*Axial Load*Distance from YY to Outermost Fiber)/(Moment of Inertia about Y-Axis))+((Eccentricity with respect to Principal Axis XX*Axial Load*Distance from XX to Outermost Fiber)/(Moment of Inertia about X-Axis))))

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