Eccentricity of Slender Columns Calculator

✖Magnified Moment is a simplified way of accounting for column slenderness effects by doing a P-Delta analysis of the frame.ⓘ Magnified Moment [M_c]			+10% -10%
✖Axial Load Capacity is defined as the maximum load along the direction of the drive train.ⓘ Axial Load Capacity [P_u]			+10% -10%

✖The Eccentricity of Column is the distance between the middle of the column's cross-section and the eccentric load.ⓘ Eccentricity of Slender Columns [e]

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Formula

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Eccentricity of Slender Columns

Formula

`"e" = "M"_{"c"}/"P"_{"u"}`

Example

`"35mm"="23.8N*m"/"680N"`

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Eccentricity of Slender Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentricity of Column = Magnified Moment/Axial Load Capacity
e = M_c/P_u
This formula uses 3 Variables

Variables Used

Eccentricity of Column - (Measured in Meter) - The Eccentricity of Column is the distance between the middle of the column's cross-section and the eccentric load.
Magnified Moment - (Measured in Newton Meter) - Magnified Moment is a simplified way of accounting for column slenderness effects by doing a P-Delta analysis of the frame.
Axial Load Capacity - (Measured in Newton) - Axial Load Capacity is defined as the maximum load along the direction of the drive train.

STEP 1: Convert Input(s) to Base Unit

Magnified Moment: 23.8 Newton Meter --> 23.8 Newton Meter No Conversion Required
Axial Load Capacity: 680 Newton --> 680 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e = M_c/P_u --> 23.8/680

Evaluating ... ...

e = 0.035

STEP 3: Convert Result to Output's Unit

0.035 Meter -->35 Millimeter (Check conversion here)

FINAL ANSWER

35 Millimeter <-- Eccentricity of Column

(Calculation completed in 00.004 seconds)

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Created by Rudrani Tidke

Cummins College of Engineering for Women (CCEW), Pune

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< 3 Slender Columns Calculators

Magnified Moment given Eccentricity of Slender Columns

Go Magnified Moment = Eccentricity of Column*Axial Load Capacity

Axial Load Capacity of Slender Columns

Go Axial Load Capacity = Magnified Moment/Eccentricity of Column

Eccentricity of Slender Columns

Go Eccentricity of Column = Magnified Moment/Axial Load Capacity

Eccentricity of Slender Columns Formula

Eccentricity of Column = Magnified Moment/Axial Load Capacity
e = M_c/P_u

What is Moment Magnification?

The provisions in the moment magnification procedure allow for a column to be designed using a conventional first-order analysis provided that the moments calculated by the analysis are increased to account for second-order effects.

What is Eccentricity?

The eccentricity of an elliptical orbit is a measure of the amount by which it deviates from a circle, it is found by dividing the distance between the focal points of the ellipse by the length of the major axis.

How to Calculate Eccentricity of Slender Columns?

Eccentricity of Slender Columns calculator uses Eccentricity of Column = Magnified Moment/Axial Load Capacity to calculate the Eccentricity of Column, The Eccentricity of Slender Columns formula is defined as the quality or state of being eccentric is the deviation from an established pattern or norm especially an odd or whimsical behavior. Eccentricity of Column is denoted by e symbol.

How to calculate Eccentricity of Slender Columns using this online calculator? To use this online calculator for Eccentricity of Slender Columns, enter Magnified Moment (M_c) & Axial Load Capacity (P_u) and hit the calculate button. Here is how the Eccentricity of Slender Columns calculation can be explained with given input values -> 35000 = 23.8/680.

FAQ

What is Eccentricity of Slender Columns?

The Eccentricity of Slender Columns formula is defined as the quality or state of being eccentric is the deviation from an established pattern or norm especially an odd or whimsical behavior and is represented as e = M_c/P_u or Eccentricity of Column = Magnified Moment/Axial Load Capacity. Magnified Moment is a simplified way of accounting for column slenderness effects by doing a P-Delta analysis of the frame & Axial Load Capacity is defined as the maximum load along the direction of the drive train.

How to calculate Eccentricity of Slender Columns?

The Eccentricity of Slender Columns formula is defined as the quality or state of being eccentric is the deviation from an established pattern or norm especially an odd or whimsical behavior is calculated using Eccentricity of Column = Magnified Moment/Axial Load Capacity. To calculate Eccentricity of Slender Columns, you need Magnified Moment (M_c) & Axial Load Capacity (P_u). With our tool, you need to enter the respective value for Magnified Moment & Axial Load Capacity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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