Eccentricity given Moment at Section of Column with Eccentric Load Calculator

✖Moment of force also known as torque, measures the tendency of a force to rotate an object around a point or axis, calculated as the product of the force and the perpendicular distance.ⓘ Moment of Force [M]			+10% -10%
✖Eccentric load on column refers to a load that is applied at a point away from the centroidal axis of the column’s cross-section where loading introduces both axial stress and bending stress.ⓘ Eccentric Load on Column [P]			+10% -10%
✖Deflection of free end of a beam refers to the displacement or movement of the beam’s free end from its original position due to applied loads or crippling load at the free end.ⓘ Deflection of Free End [δ]			+10% -10%
✖Deflection of column refers to the degree to which a column bends or displaces under the influence of external forces such as weight, wind, or seismic activity.ⓘ Deflection of Column [δ_c]			+10% -10%

✖Eccentricity of column refers to the distance between the line of action of the applied load and the centroidal axis of the column’s cross-section.ⓘ Eccentricity given Moment at Section of Column with Eccentric Load [e]

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Eccentricity given Moment at Section of Column with Eccentric Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentricity of Column = (Moment of Force/Eccentric Load on Column)-Deflection of Free End+Deflection of Column
e = (M/P)-δ+δ_c
This formula uses 5 Variables

Variables Used

Eccentricity of Column - (Measured in Meter) - Eccentricity of column refers to the distance between the line of action of the applied load and the centroidal axis of the column’s cross-section.
Moment of Force - (Measured in Newton Meter) - Moment of force also known as torque, measures the tendency of a force to rotate an object around a point or axis, calculated as the product of the force and the perpendicular distance.
Eccentric Load on Column - (Measured in Newton) - Eccentric load on column refers to a load that is applied at a point away from the centroidal axis of the column’s cross-section where loading introduces both axial stress and bending stress.
Deflection of Free End - (Measured in Meter) - Deflection of free end of a beam refers to the displacement or movement of the beam’s free end from its original position due to applied loads or crippling load at the free end.
Deflection of Column - (Measured in Meter) - Deflection of column refers to the degree to which a column bends or displaces under the influence of external forces such as weight, wind, or seismic activity.

STEP 1: Convert Input(s) to Base Unit

Moment of Force: 48 Newton Meter --> 48 Newton Meter No Conversion Required
Eccentric Load on Column: 40 Newton --> 40 Newton No Conversion Required
Deflection of Free End: 201.112 Millimeter --> 0.201112 Meter (Check conversion here)
Deflection of Column: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e = (M/P)-δ+δ_c --> (48/40)-0.201112+0.012

Evaluating ... ...

e = 1.010888

STEP 3: Convert Result to Output's Unit

1.010888 Meter -->1010.888 Millimeter (Check conversion here)

FINAL ANSWER

1010.888 Millimeter <-- Eccentricity of Column

(Calculation completed in 00.004 seconds)

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< Columns With Eccentric Load Calculators

Modulus of Elasticity given Deflection at Section of Column with Eccentric Load

Go Modulus of Elasticity of Column = (Eccentric Load on Column/(Moment of Inertia*(((acos(1-(Deflection of Column/(Deflection of Free End+Eccentricity of Load))))/Distance b/w Fixed End and Deflection Point)^2)))

Eccentric Load given Deflection at Section of Column with Eccentric Load

Go Eccentric Load on Column = (((acos(1-(Deflection of Column/(Deflection of Free End+Eccentricity of Load))))/Distance b/w Fixed End and Deflection Point)^2)*(Modulus of Elasticity of Column*Moment of Inertia)

Eccentricity given Moment at Section of Column with Eccentric Load

Go Eccentricity of Column = (Moment of Force/Eccentric Load on Column)-Deflection of Free End+Deflection of Column

Moment at Section of Column with Eccentric Load

Go Moment of Force = Eccentric Load on Column*(Deflection of Free End+Eccentricity of Load-Deflection of Column)

Eccentricity given Moment at Section of Column with Eccentric Load Formula

Eccentricity of Column = (Moment of Force/Eccentric Load on Column)-Deflection of Free End+Deflection of Column
e = (M/P)-δ+δ_c

Which is example of eccentric loading?

Examples of eccentric loading activities include performing a calf raise off the ledge of a stair, an exercise that has been shown to decrease the risk of Achilles tendon injuries. Another example is the nordic curl exercise, which has been shown to help reduce the risk of hamstring strains.

How to Calculate Eccentricity given Moment at Section of Column with Eccentric Load?

Eccentricity given Moment at Section of Column with Eccentric Load calculator uses Eccentricity of Column = (Moment of Force/Eccentric Load on Column)-Deflection of Free End+Deflection of Column to calculate the Eccentricity of Column, Eccentricity given Moment at Section of Column with Eccentric Load formula is defined as a measure of how much the line of action of the load deviates from the centroid of the column section, which affects the structural integrity and load-carrying capacity of the column. Eccentricity of Column is denoted by e symbol.

How to calculate Eccentricity given Moment at Section of Column with Eccentric Load using this online calculator? To use this online calculator for Eccentricity given Moment at Section of Column with Eccentric Load, enter Moment of Force (M), Eccentric Load on Column (P), Deflection of Free End (δ) & Deflection of Column (δ_c) and hit the calculate button. Here is how the Eccentricity given Moment at Section of Column with Eccentric Load calculation can be explained with given input values -> 1.2E+6 = (48/40)-0.201112+0.012.

FAQ

What is Eccentricity given Moment at Section of Column with Eccentric Load?

Eccentricity given Moment at Section of Column with Eccentric Load formula is defined as a measure of how much the line of action of the load deviates from the centroid of the column section, which affects the structural integrity and load-carrying capacity of the column and is represented as e = (M/P)-δ+δ_c or Eccentricity of Column = (Moment of Force/Eccentric Load on Column)-Deflection of Free End+Deflection of Column. Moment of force also known as torque, measures the tendency of a force to rotate an object around a point or axis, calculated as the product of the force and the perpendicular distance, Eccentric load on column refers to a load that is applied at a point away from the centroidal axis of the column’s cross-section where loading introduces both axial stress and bending stress, Deflection of free end of a beam refers to the displacement or movement of the beam’s free end from its original position due to applied loads or crippling load at the free end & Deflection of column refers to the degree to which a column bends or displaces under the influence of external forces such as weight, wind, or seismic activity.

How to calculate Eccentricity given Moment at Section of Column with Eccentric Load?

Eccentricity given Moment at Section of Column with Eccentric Load formula is defined as a measure of how much the line of action of the load deviates from the centroid of the column section, which affects the structural integrity and load-carrying capacity of the column is calculated using Eccentricity of Column = (Moment of Force/Eccentric Load on Column)-Deflection of Free End+Deflection of Column. To calculate Eccentricity given Moment at Section of Column with Eccentric Load, you need Moment of Force (M), Eccentric Load on Column (P), Deflection of Free End (δ) & Deflection of Column (δ_c). With our tool, you need to enter the respective value for Moment of Force, Eccentric Load on Column, Deflection of Free End & Deflection of Column 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 Eccentricity of Column?

In this formula, Eccentricity of Column uses Moment of Force, Eccentric Load on Column, Deflection of Free End & Deflection of Column. We can use 2 other way(s) to calculate the same, which is/are as follows -

Eccentricity of Column = (Deflection of Column/(1-cos(Distance b/w Fixed End and Deflection Point*sqrt(Eccentric Load on Column/(Modulus of Elasticity of Column*Moment of Inertia)))))-Deflection of Free End
Eccentricity of Column = ((Maximum Stress at Crack Tip-(Eccentric Load on Column/Cross-Sectional Area of Column))*Section Modulus for Column)/((Eccentric Load on Column*sec(Effective Column Length*sqrt(Eccentric Load on Column/(Modulus of Elasticity of Column*Moment of Inertia))))/2)

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