Deflection at Section of Column with Eccentric Load given Moment at Section 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%
✖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 of Column [e]			+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 at Section of Column with Eccentric Load given Moment at Section [δ_c]

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Deflection at Section of Column with Eccentric Load given Moment at Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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)
Eccentricity of Column: 15000 Millimeter --> 15 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ_c = -(M/P)+δ+e --> -(48/40)+0.201112+15

Evaluating ... ...

δ_c = 14.001112

STEP 3: Convert Result to Output's Unit

14.001112 Meter -->14001.112 Millimeter (Check conversion here)

FINAL ANSWER

14001.112 ≈ 14001.11 Millimeter <-- Deflection 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

LaTeX 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

LaTeX 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

LaTeX 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

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

Deflection at Section of Column with Eccentric Load given Moment at Section Formula

LaTeX Go

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

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 Deflection at Section of Column with Eccentric Load given Moment at Section?

Deflection at Section of Column with Eccentric Load given Moment at Section calculator uses Deflection of Column = -(Moment of Force/Eccentric Load on Column)+Deflection of Free End+Eccentricity of Column to calculate the Deflection of Column, Deflection at Section of Column with Eccentric Load given Moment at Section formula is defined as a measure of the lateral displacement of a column section under an eccentric load, taking into account the moment at that section, which is critical in evaluating the structural integrity of columns subjected to such loads. Deflection of Column is denoted by δ_c symbol.

How to calculate Deflection at Section of Column with Eccentric Load given Moment at Section using this online calculator? To use this online calculator for Deflection at Section of Column with Eccentric Load given Moment at Section, enter Moment of Force (M), Eccentric Load on Column (P), Deflection of Free End (δ) & Eccentricity of Column (e) and hit the calculate button. Here is how the Deflection at Section of Column with Eccentric Load given Moment at Section calculation can be explained with given input values -> 1.4E+7 = -(48/40)+0.201112+15.

FAQ

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

Deflection at Section of Column with Eccentric Load given Moment at Section formula is defined as a measure of the lateral displacement of a column section under an eccentric load, taking into account the moment at that section, which is critical in evaluating the structural integrity of columns subjected to such loads and is represented as δ_c = -(M/P)+δ+e or Deflection of Column = -(Moment of Force/Eccentric Load on Column)+Deflection of Free End+Eccentricity 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 & 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.

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

Deflection at Section of Column with Eccentric Load given Moment at Section formula is defined as a measure of the lateral displacement of a column section under an eccentric load, taking into account the moment at that section, which is critical in evaluating the structural integrity of columns subjected to such loads is calculated using Deflection of Column = -(Moment of Force/Eccentric Load on Column)+Deflection of Free End+Eccentricity of Column. To calculate Deflection at Section of Column with Eccentric Load given Moment at Section, you need Moment of Force (M), Eccentric Load on Column (P), Deflection of Free End (δ) & Eccentricity of Column (e). With our tool, you need to enter the respective value for Moment of Force, Eccentric Load on Column, Deflection of Free End & Eccentricity 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 Deflection of Column?

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

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

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