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
δc = -(M/P)+acrippling+e
This formula uses 5 Variables
Variables Used
Deflection of Column - (Measured in Meter) - Deflection of Column at free end in terms of moment at the section of column with eccentric load.
Moment of force - (Measured in Newton Meter) - Moment of force is the product of a force and the perpendicular distance of the line of action of the force.
Eccentric load on column - (Measured in Newton) - Eccentric load on column is the load that causes direct stress as well as bending stress.
Deflection of Free End - (Measured in Meter) - Deflection of Free End is the deflection caused due to crippling load at the free end.
Eccentricity - (Measured in Meter) - Eccentricity is the distance from point of application of resultant to center of base.
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: 14 Millimeter --> 0.014 Meter (Check conversion here)
Eccentricity: 15000 Millimeter --> 15 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
δc = -(M/P)+acrippling+e --> -(48/40)+0.014+15
Evaluating ... ...
δc = 13.814
STEP 3: Convert Result to Output's Unit
13.814 Meter -->13814 Millimeter (Check conversion here)
FINAL ANSWER
13814 Millimeter <-- Deflection of Column
(Calculation completed in 00.004 seconds)

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5 Deflection Calculators

Deflection at Free End given Deflection at Section of Column with Eccentric load
Go Deflection of Free End = (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)))))-Eccentricity of Load
Deflection at Section of Column with Eccentric Load
Go Deflection of Column = (Deflection of Free End+Eccentricity)*(1-cos(Distance b/w fixed end and deflection point*sqrt(Eccentric load on column/(Modulus of elasticity of column*Moment of Inertia))))
Deflection at Free End of Column with Eccentric load
Go Deflection of Free End = Eccentricity of Load*(sec(Column Length*sqrt(Eccentric load on column/(Modulus of elasticity of column*Moment of Inertia)))-1)
Deflection at Free End given Moment at Section of Column with Eccentric load
Go Deflection of Column = (Moment of force/Eccentric load on column)-(Eccentricity of Load+Deflection of Free End)
Deflection at Section of Column with Eccentric Load given Moment at Section
Go Deflection of Column = -(Moment of force/Eccentric load on column)+Deflection of Free End+Eccentricity

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

Deflection of Column = -(Moment of force/Eccentric load on column)+Deflection of Free End+Eccentricity
δc = -(M/P)+acrippling+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 to calculate the Deflection of Column, The Deflection at section of column with eccentric load given moment at section formula is defined as the movement of a beam or node from its original position due to the forces and loads. Deflection of Column is denoted by δc 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 (acrippling) & Eccentricity (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)+0.014+15.

FAQ

What is Deflection at Section of Column with Eccentric Load given Moment at Section?
The Deflection at section of column with eccentric load given moment at section formula is defined as the movement of a beam or node from its original position due to the forces and loads and is represented as δc = -(M/P)+acrippling+e or Deflection of Column = -(Moment of force/Eccentric load on column)+Deflection of Free End+Eccentricity. Moment of force is the product of a force and the perpendicular distance of the line of action of the force, Eccentric load on column is the load that causes direct stress as well as bending stress, Deflection of Free End is the deflection caused due to crippling load at the free end & Eccentricity is the distance from point of application of resultant to center of base.
How to calculate Deflection at Section of Column with Eccentric Load given Moment at Section?
The Deflection at section of column with eccentric load given moment at section formula is defined as the movement of a beam or node from its original position due to the forces and loads is calculated using Deflection of Column = -(Moment of force/Eccentric load on column)+Deflection of Free End+Eccentricity. 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 (acrippling) & Eccentricity (e). With our tool, you need to enter the respective value for Moment of force, Eccentric load on column, Deflection of Free End & Eccentricity 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. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Deflection of Column = (Deflection of Free End+Eccentricity)*(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)-(Eccentricity of Load+Deflection of Free End)
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