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%
✖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 [A_cs]			+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%

✖Total Unit Stress is defined as the the total force acting on unit area.ⓘ Total Unit Stress in Eccentric Loading [f]

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Formula

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Total Unit Stress in Eccentric Loading

Formula

`"f" = ("P"/"A"_{"cs"})+("P"*"c"*"e"/"I"_{"neutral"})`

Example

`"81.99151Pa"=("9.99kN"/"13m²")+("9.99kN"*"17mm"*"11mm"/"23kg·m²")`

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Total Unit Stress in Eccentric Loading Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Total Unit Stress - (Measured in Pascal) - Total Unit Stress is defined as the the total force acting on unit area.
Axial Load - (Measured in Kilonewton) - Axial Load is defined as applying a force on a structure directly along an axis of the structure.
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.
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
Cross-Sectional Area: 13 Square Meter --> 13 Square Meter 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

f = (P/A_cs)+(P*c*e/I_neutral) --> (9.99/13)+(9.99*17*11/23)

Evaluating ... ...

f = 81.9915050167224

STEP 3: Convert Result to Output's Unit

81.9915050167224 Pascal --> No Conversion Required

FINAL ANSWER

81.9915050167224 ≈ 81.99151 Pascal <-- Total Unit Stress

(Calculation completed in 00.004 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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< 18 Eccentric Loading Calculators

Cross-Sectional Area given Total Stress is where Load doesn't lie on Plane

Go 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))))

Distance from YY to outermost fiber given Total Stress where Load doesn't lie on Plane

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

Distance from XX to outermost fiber given Total Stress where Load doesn't lie on Plane

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

Eccentricity w.r.t axis XX given Total Stress where Load doesn't lie on Plane

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

Total Stress in Eccentric Loading when Load doesn't lie on Plane

Go Total Stress = (Axial Load/Cross-Sectional Area)+((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))

Moment of Inertia about XX given Total Stress where Load doesn't lie on Plane

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

Moment of Inertia about YY given Total Stress where Load doesn't lie on Plane

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

Eccentricity wrt axis YY given Total Stress where Load doesn't lie on Plane

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

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

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

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

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

Critical Buckling Load given Deflection in Eccentric Loading

Go Critical Buckling Load = (Axial Load*(4*Eccentricity of Load+pi*Deflection in Eccentric Loading))/(Deflection in Eccentric Loading*pi)

Eccentricity given Deflection in Eccentric Loading

Go Eccentricity of Load = (pi*(1-Axial Load/Critical Buckling Load))*Deflection in Eccentric Loading/(4*Axial Load/Critical Buckling Load)

Deflection in Eccentric Loading

Go Deflection in Eccentric Loading = (4*Eccentricity of Load*Axial Load/Critical Buckling Load)/(pi*(1-Axial Load/Critical Buckling Load))

Load for Deflection in Eccentric Loading

Go Axial Load = (Critical Buckling Load*Deflection in Eccentric Loading*pi)/(4*Eccentricity of Load+pi*Deflection in Eccentric Loading)

Radius of Gyration in Eccentric Loading

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

Cross-Sectional Area given Radius of Gyration in Eccentric Loading

Go Cross-Sectional Area = Moment of Inertia/(Radius of Gyration^2)

Moment of Inertia given Radius of Gyration in Eccentric Loading

Go Moment of Inertia = (Radius of Gyration^2)*Cross-Sectional Area

Total Unit Stress in Eccentric Loading Formula

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

Define Eccentric Loading

When the load acting on the column is offset from the centroid of the column, then it establishes the bending of the column along with the axial stress. This offset loading of the column is referred to as eccentric loading.

How to Calculate Total Unit Stress in Eccentric Loading?

Total Unit Stress in Eccentric Loading calculator uses Total Unit Stress = (Axial Load/Cross-Sectional Area)+(Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis) to calculate the Total Unit Stress, The Total Unit Stress in Eccentric Loading formula is defined as the total force applied on a unit area. Total Unit Stress is denoted by f symbol.

How to calculate Total Unit Stress in Eccentric Loading using this online calculator? To use this online calculator for Total Unit Stress in Eccentric Loading, enter Axial Load (P), Cross-Sectional Area (A_cs), 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 Total Unit Stress in Eccentric Loading calculation can be explained with given input values -> 769.3121 = (9990/13)+(9990*0.017*0.011/23).

FAQ

What is Total Unit Stress in Eccentric Loading?

The Total Unit Stress in Eccentric Loading formula is defined as the total force applied on a unit area and is represented as f = (P/A_cs)+(P*c*e/I_neutral) or Total Unit Stress = (Axial Load/Cross-Sectional Area)+(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, 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, 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 Total Unit Stress in Eccentric Loading?

The Total Unit Stress in Eccentric Loading formula is defined as the total force applied on a unit area is calculated using Total Unit Stress = (Axial Load/Cross-Sectional Area)+(Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis). To calculate Total Unit Stress in Eccentric Loading, you need Axial Load (P), Cross-Sectional Area (A_cs), 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, Cross-Sectional Area, 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.

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