Unsupported Length of Column given Minimum Eccentricity Calculator

✖Minimum Eccentricity is the shortest distance from the center of gravity of the column section to the center of gravity of the applied load.ⓘ Minimum Eccentricity [e_min]			+10% -10%
✖Least Lateral Dimension of the column is the smallest dimension on the sides of the column. Its generally taken as the breath of the column.ⓘ Least Lateral Dimension [b]			+10% -10%

✖The Effective Length of Column can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.ⓘ Unsupported Length of Column given Minimum Eccentricity [L]

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Formula

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Unsupported Length of Column given Minimum Eccentricity

Formula

`"L" = ("e"_{"min"}-("b"/30))*500`

Example

`"2999.833mm"=("21mm"-("450.01mm"/30))*500`

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Unsupported Length of Column given Minimum Eccentricity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Length of Column = (Minimum Eccentricity-(Least Lateral Dimension/30))*500
L = (e_min-(b/30))*500
This formula uses 3 Variables

Variables Used

Effective Length of Column - (Measured in Meter) - The Effective Length of Column can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.
Minimum Eccentricity - (Measured in Meter) - Minimum Eccentricity is the shortest distance from the center of gravity of the column section to the center of gravity of the applied load.
Least Lateral Dimension - (Measured in Meter) - Least Lateral Dimension of the column is the smallest dimension on the sides of the column. Its generally taken as the breath of the column.

STEP 1: Convert Input(s) to Base Unit

Minimum Eccentricity: 21 Millimeter --> 0.021 Meter (Check conversion here)
Least Lateral Dimension: 450.01 Millimeter --> 0.45001 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (e_min-(b/30))*500 --> (0.021-(0.45001/30))*500

Evaluating ... ...

L = 2.99983333333333

STEP 3: Convert Result to Output's Unit

2.99983333333333 Meter -->2999.83333333333 Millimeter (Check conversion here)

FINAL ANSWER

2999.83333333333 ≈ 2999.833 Millimeter <-- Effective Length of Column

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Columns » Columns of Special Materials » Reinforced Concrete Columns » Minimum Eccentricity in Design of RCC Columns » Unsupported Length of Column given Minimum Eccentricity

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Created by Swarnima Singh

NIT Jaipur (mnitj), jaipur

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< 3 Minimum Eccentricity in Design of RCC Columns Calculators

Axial Load carrying Capacity of Column

Go Ultimate Axial Load Carrying Capacity of Column = (0.4*Characteristic Compressive Strength*Area of Concrete)+(0.67*Characteristic Strength of Steel Reinforcement*Area of Steel required)

Unsupported Length of Column given Minimum Eccentricity

Go Effective Length of Column = (Minimum Eccentricity-(Least Lateral Dimension/30))*500

Minimum Eccentricity

Go Minimum Eccentricity = (Effective Length of Column/500)+(Least Lateral Dimension/30)

Unsupported Length of Column given Minimum Eccentricity Formula

Effective Length of Column = (Minimum Eccentricity-(Least Lateral Dimension/30))*500
L = (e_min-(b/30))*500

What is Unsupported Length of Column?

The unsupported length of column is also known as the Effective Length of column. It is the length that provides resistance against buckling.

What is Minimum Eccentricity?

Minimum eccentricity is the shortest distance from the center of gravity of the column section to the center of gravity of the applied load.

How to Calculate Unsupported Length of Column given Minimum Eccentricity?

Unsupported Length of Column given Minimum Eccentricity calculator uses Effective Length of Column = (Minimum Eccentricity-(Least Lateral Dimension/30))*500 to calculate the Effective Length of Column, The Unsupported Length of Column given Minimum Eccentricity formula is defined as the undisrupted distance between the floor and the lower beam. It's more commonly known as the effective length of the column. Effective Length of Column is denoted by L symbol.

How to calculate Unsupported Length of Column given Minimum Eccentricity using this online calculator? To use this online calculator for Unsupported Length of Column given Minimum Eccentricity, enter Minimum Eccentricity (e_min) & Least Lateral Dimension (b) and hit the calculate button. Here is how the Unsupported Length of Column given Minimum Eccentricity calculation can be explained with given input values -> 3E+6 = (0.021-(0.45001/30))*500.

FAQ

What is Unsupported Length of Column given Minimum Eccentricity?

The Unsupported Length of Column given Minimum Eccentricity formula is defined as the undisrupted distance between the floor and the lower beam. It's more commonly known as the effective length of the column and is represented as L = (e_min-(b/30))*500 or Effective Length of Column = (Minimum Eccentricity-(Least Lateral Dimension/30))*500. Minimum Eccentricity is the shortest distance from the center of gravity of the column section to the center of gravity of the applied load & Least Lateral Dimension of the column is the smallest dimension on the sides of the column. Its generally taken as the breath of the column.

How to calculate Unsupported Length of Column given Minimum Eccentricity?

The Unsupported Length of Column given Minimum Eccentricity formula is defined as the undisrupted distance between the floor and the lower beam. It's more commonly known as the effective length of the column is calculated using Effective Length of Column = (Minimum Eccentricity-(Least Lateral Dimension/30))*500. To calculate Unsupported Length of Column given Minimum Eccentricity, you need Minimum Eccentricity (e_min) & Least Lateral Dimension (b). With our tool, you need to enter the respective value for Minimum Eccentricity & Least Lateral Dimension 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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