Minimum Eccentricity Calculator

✖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.ⓘ Effective Length of Column [L]			+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%

✖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]

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Formula

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Minimum Eccentricity

Formula

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

Example

`"21.00033mm"=("3000mm"/500)+("450.01mm"/30)`

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Minimum Eccentricity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Effective Length of Column: 3000 Millimeter --> 3 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

e_min = (L/500)+(b/30) --> (3/500)+(0.45001/30)

Evaluating ... ...

e_min = 0.0210003333333333

STEP 3: Convert Result to Output's Unit

0.0210003333333333 Meter -->21.0003333333333 Millimeter (Check conversion here)

FINAL ANSWER

21.0003333333333 ≈ 21.00033 Millimeter <-- Minimum Eccentricity

(Calculation completed in 00.004 seconds)

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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)

Minimum Eccentricity Formula

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

What is Eccentricity?

Eccentricity is the distance from the center of gravity of the column section to the center of gravity of the applied load.

Why is Minimum Eccentricity required?

According to IS 456:2000, in order to ensure the safety of column, we should consider a minimum value of eccentricity. Also, we further reduce the design strengths of concrete and steel for a more optimistic design of such columns. The value of minimum eccentricity should be: e(min) = greater of (l/500 + D/30) or 20 mm.

How to Calculate Minimum Eccentricity?

Minimum Eccentricity calculator uses Minimum Eccentricity = (Effective Length of Column/500)+(Least Lateral Dimension/30) to calculate the Minimum Eccentricity, The Minimum Eccentricity formula is defined as the shortest distance from the center of gravity of the column section to the center of gravity of the applied load. In order to ensure the safety of the column we should consider a minimum value of eccentricity. Minimum Eccentricity is denoted by e_min symbol.

How to calculate Minimum Eccentricity using this online calculator? To use this online calculator for Minimum Eccentricity, enter Effective Length of Column (L) & Least Lateral Dimension (b) and hit the calculate button. Here is how the Minimum Eccentricity calculation can be explained with given input values -> 21000 = (3/500)+(0.45001/30).

FAQ

What is Minimum Eccentricity?

The Minimum Eccentricity formula is defined as the shortest distance from the center of gravity of the column section to the center of gravity of the applied load. In order to ensure the safety of the column we should consider a minimum value of eccentricity and is represented as e_min = (L/500)+(b/30) or Minimum Eccentricity = (Effective Length of Column/500)+(Least Lateral Dimension/30). 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 & 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 Minimum Eccentricity?

The Minimum Eccentricity formula is defined as the shortest distance from the center of gravity of the column section to the center of gravity of the applied load. In order to ensure the safety of the column we should consider a minimum value of eccentricity is calculated using Minimum Eccentricity = (Effective Length of Column/500)+(Least Lateral Dimension/30). To calculate Minimum Eccentricity, you need Effective Length of Column (L) & Least Lateral Dimension (b). With our tool, you need to enter the respective value for Effective Length of Column & 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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