Deflection at Free End 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%
✖Eccentricity of load refers to the offset of a load from the centroid of a structural element, such as a beam or column.ⓘ Eccentricity of Load [e_load]			+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 at Free End given Moment at Section of Column with Eccentric load [δ_c]

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Deflection at Free End given Moment at Section of Column with Eccentric load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Column = (Moment of Force/Eccentric Load on Column)-(Eccentricity of Load+Deflection of Free End)
δ_c = (M/P)-(e_load+δ)
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.
Eccentricity of Load - (Measured in Meter) - Eccentricity of load refers to the offset of a load from the centroid of a structural element, such as a beam or column.
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.

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
Eccentricity of Load: 2.5 Millimeter --> 0.0025 Meter (Check conversion here)
Deflection of Free End: 201.112 Millimeter --> 0.201112 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ_c = (M/P)-(e_load+δ) --> (48/40)-(0.0025+0.201112)

Evaluating ... ...

δ_c = 0.996388

STEP 3: Convert Result to Output's Unit

0.996388 Meter -->996.388 Millimeter (Check conversion here)

FINAL ANSWER

996.388 Millimeter <-- Deflection of Column

(Calculation completed in 00.007 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 Free End given Moment at Section of Column with Eccentric load Formula

LaTeX Go

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

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 Free End given Moment at Section of Column with Eccentric load?

Deflection at Free End given Moment at Section of Column with Eccentric load calculator uses Deflection of Column = (Moment of Force/Eccentric Load on Column)-(Eccentricity of Load+Deflection of Free End) to calculate the Deflection of Column, Deflection at Free End given Moment at Section of Column with Eccentric load formula is defined as a measure of the lateral movement of the free end of a column when an eccentric load is applied, taking into account the moment at a section of the column and the load's eccentricity. Deflection of Column is denoted by δ_c symbol.

How to calculate Deflection at Free End given Moment at Section of Column with Eccentric load using this online calculator? To use this online calculator for Deflection at Free End given Moment at Section of Column with Eccentric load, enter Moment of Force (M), Eccentric Load on Column (P), Eccentricity of Load (e_load) & Deflection of Free End (δ) and hit the calculate button. Here is how the Deflection at Free End given Moment at Section of Column with Eccentric load calculation can be explained with given input values -> 1.2E+6 = (48/40)-(0.0025+0.201112).

FAQ

What is Deflection at Free End given Moment at Section of Column with Eccentric load?

Deflection at Free End given Moment at Section of Column with Eccentric load formula is defined as a measure of the lateral movement of the free end of a column when an eccentric load is applied, taking into account the moment at a section of the column and the load's eccentricity and is represented as δ_c = (M/P)-(e_load+δ) or Deflection of Column = (Moment of Force/Eccentric Load on Column)-(Eccentricity of Load+Deflection of Free End). 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, Eccentricity of load refers to the offset of a load from the centroid of a structural element, such as a beam or column & 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.

How to calculate Deflection at Free End given Moment at Section of Column with Eccentric load?

Deflection at Free End given Moment at Section of Column with Eccentric load formula is defined as a measure of the lateral movement of the free end of a column when an eccentric load is applied, taking into account the moment at a section of the column and the load's eccentricity is calculated using Deflection of Column = (Moment of Force/Eccentric Load on Column)-(Eccentricity of Load+Deflection of Free End). To calculate Deflection at Free End given Moment at Section of Column with Eccentric load, you need Moment of Force (M), Eccentric Load on Column (P), Eccentricity of Load (e_load) & Deflection of Free End (δ). With our tool, you need to enter the respective value for Moment of Force, Eccentric Load on Column, Eccentricity of Load & Deflection of Free End 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, Eccentricity of Load & Deflection of Free End. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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