Moment at Section of Column with Eccentric Load Calculator

✖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 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 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%

✖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 at Section of Column with Eccentric Load [M]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Column And Struts Formula PDF PDF Image

Moment at Section of Column with Eccentric Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 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 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

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 Load: 2.5 Millimeter --> 0.0025 Meter (Check conversion here)
Deflection of Column: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = P*(δ+e_load-δ_c) --> 40*(0.201112+0.0025-0.012)

Evaluating ... ...

M = 7.66448

STEP 3: Convert Result to Output's Unit

7.66448 Newton Meter --> No Conversion Required

FINAL ANSWER

7.66448 Newton Meter <-- Moment of Force

(Calculation completed in 00.022 seconds)

You are here -

Home » Physics » Strength of Materials » Column And Struts » Mechanical » Columns With Eccentric Load » Moment at Section of Column with Eccentric Load

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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)

Moment at Section of Column with Eccentric Load Formula

LaTeX Go

Moment of Force = Eccentric Load on Column*(Deflection of Free End+Eccentricity of Load-Deflection of Column)
M = P*(δ+e_load-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 Moment at Section of Column with Eccentric Load?

Moment at Section of Column with Eccentric Load calculator uses Moment of Force = Eccentric Load on Column*(Deflection of Free End+Eccentricity of Load-Deflection of Column) to calculate the Moment of Force, Moment at Section of Column with Eccentric Load formula is defined as a measure of the turning force that causes rotation around a pivot point, resulting from the eccentric load applied to a column, which affects the structural integrity of the column. Moment of Force is denoted by M symbol.

How to calculate Moment at Section of Column with Eccentric Load using this online calculator? To use this online calculator for Moment at Section of Column with Eccentric Load, enter Eccentric Load on Column (P), Deflection of Free End (δ), Eccentricity of Load (e_load) & Deflection of Column (δ_c) and hit the calculate button. Here is how the Moment at Section of Column with Eccentric Load calculation can be explained with given input values -> 0.18 = 40*(0.201112+0.0025-0.012).

FAQ

What is Moment at Section of Column with Eccentric Load?

Moment at Section of Column with Eccentric Load formula is defined as a measure of the turning force that causes rotation around a pivot point, resulting from the eccentric load applied to a column, which affects the structural integrity of the column and is represented as M = P*(δ+e_load-δ_c) or Moment of Force = Eccentric Load on Column*(Deflection of Free End+Eccentricity of Load-Deflection of Column). 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 load refers to the offset of a load from the centroid of a structural element, such as a beam or column & 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 Moment at Section of Column with Eccentric Load?

Moment at Section of Column with Eccentric Load formula is defined as a measure of the turning force that causes rotation around a pivot point, resulting from the eccentric load applied to a column, which affects the structural integrity of the column is calculated using Moment of Force = Eccentric Load on Column*(Deflection of Free End+Eccentricity of Load-Deflection of Column). To calculate Moment at Section of Column with Eccentric Load, you need Eccentric Load on Column (P), Deflection of Free End (δ), Eccentricity of Load (e_load) & Deflection of Column (δ_c). With our tool, you need to enter the respective value for Eccentric Load on Column, Deflection of Free End, Eccentricity of Load & Deflection of Column and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search