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Maximum Permissible Eccentricity for Spiral Columns Calculator

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Short Columns Estimation of Effective Length of Columns

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Design Under Axial Compression with Biaxial Bending Design of Short Column in Compression with Uniaxial Bending Design of Short Column under Axial Compression Slender Columns

✖Area Ratio of Cross Sectional Area to Gross Area is the ratio of cross-sectional area of vertical reinforcing steel to gross area of column.ⓘ Area Ratio of Cross Sectional Area to Gross Area [p_g]			+10% -10%
✖Force Ratio of Strengths of Reinforcements is the ratio of yield strength of reinforcing steel to 0.85 times 28 day compressive strength of concrete.ⓘ Force Ratio of Strengths of Reinforcements [m]			+10% -10%
✖Column Diameter is minimum size of column used in construction irrespective of small building is 9″ X 12″ (225mm X300mm).ⓘ Column Diameter [D]			+10% -10%
✖Overall depth of column is the diameter of column.ⓘ Overall Depth of Column [t]			+10% -10%

✖Maximum Permissible Eccentricity is the maximum permissible amount by which elliptical orbit deviates from a circle.ⓘ Maximum Permissible Eccentricity for Spiral Columns [e_b]

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Maximum Permissible Eccentricity for Spiral Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Permissible Eccentricity = 0.43*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements*Column Diameter+0.14*Overall Depth of Column
e_b = 0.43*p_g*m*D+0.14*t
This formula uses 5 Variables

Variables Used

Maximum Permissible Eccentricity - (Measured in Meter) - Maximum Permissible Eccentricity is the maximum permissible amount by which elliptical orbit deviates from a circle.
Area Ratio of Cross Sectional Area to Gross Area - Area Ratio of Cross Sectional Area to Gross Area is the ratio of cross-sectional area of vertical reinforcing steel to gross area of column.
Force Ratio of Strengths of Reinforcements - Force Ratio of Strengths of Reinforcements is the ratio of yield strength of reinforcing steel to 0.85 times 28 day compressive strength of concrete.
Column Diameter - (Measured in Meter) - Column Diameter is minimum size of column used in construction irrespective of small building is 9″ X 12″ (225mm X300mm).
Overall Depth of Column - (Measured in Meter) - Overall depth of column is the diameter of column.

STEP 1: Convert Input(s) to Base Unit

Area Ratio of Cross Sectional Area to Gross Area: 8.01 --> No Conversion Required
Force Ratio of Strengths of Reinforcements: 0.41 --> No Conversion Required
Column Diameter: 10.01 Meter --> 10.01 Meter No Conversion Required
Overall Depth of Column: 8.85 Meter --> 8.85 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_b = 0.43*p_g*m*D+0.14*t --> 0.43*8.01*0.41*10.01+0.14*8.85

Evaluating ... ...

e_b = 15.37475163

STEP 3: Convert Result to Output's Unit

15.37475163 Meter --> No Conversion Required

FINAL ANSWER

15.37475163 ≈ 15.37475 Meter <-- Maximum Permissible Eccentricity

(Calculation completed in 00.004 seconds)

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< Design Under Axial Compression with Biaxial Bending Calculators

Maximum Permissible Eccentricity for Tied Columns

LaTeX Go Maximum Permissible Eccentricity = (0.67*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements*Column Diameter+0.17)*Distance from Compression to Tensile Reinforcement

Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns

LaTeX Go Column Diameter = (Maximum Permissible Eccentricity-0.14*Overall Depth of Column)/(0.43*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements)

Column Diameter given Maximum Permissible Eccentricity for Spiral Columns

LaTeX Go Overall Depth of Column = (Maximum Permissible Eccentricity-0.43*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements*Column Diameter)/0.14

Maximum Permissible Eccentricity for Spiral Columns

LaTeX Go Maximum Permissible Eccentricity = 0.43*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements*Column Diameter+0.14*Overall Depth of Column

Maximum Permissible Eccentricity for Spiral Columns Formula

LaTeX Go

What is Limit of Eccentricity?

Some structures like concrete column, dams, etc. are weak in tensions. Due to eccentric loading they are subjected to bending stress and its results in occurrence of tension condition. This maximum eccentricity up to which section is losses its compression is called as 'Limit of Eccentricity'

How to Calculate Maximum Permissible Eccentricity for Spiral Columns?

Maximum Permissible Eccentricity for Spiral Columns calculator uses Maximum Permissible Eccentricity = 0.43*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements*Column Diameter+0.14*Overall Depth of Column to calculate the Maximum Permissible Eccentricity, The Maximum Permissible Eccentricity for Spiral Columns formula is defined as a measure of the maximum permissible amount by which elliptical orbit deviates from a circle. Maximum Permissible Eccentricity is denoted by e_b symbol.

How to calculate Maximum Permissible Eccentricity for Spiral Columns using this online calculator? To use this online calculator for Maximum Permissible Eccentricity for Spiral Columns, enter Area Ratio of Cross Sectional Area to Gross Area (p_g), Force Ratio of Strengths of Reinforcements (m), Column Diameter (D) & Overall Depth of Column (t) and hit the calculate button. Here is how the Maximum Permissible Eccentricity for Spiral Columns calculation can be explained with given input values -> 15.02998 = 0.43*8.01*0.41*10.01+0.14*8.85.

FAQ

What is Maximum Permissible Eccentricity for Spiral Columns?

The Maximum Permissible Eccentricity for Spiral Columns formula is defined as a measure of the maximum permissible amount by which elliptical orbit deviates from a circle and is represented as e_b = 0.43*p_g*m*D+0.14*t or Maximum Permissible Eccentricity = 0.43*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements*Column Diameter+0.14*Overall Depth of Column. Area Ratio of Cross Sectional Area to Gross Area is the ratio of cross-sectional area of vertical reinforcing steel to gross area of column, Force Ratio of Strengths of Reinforcements is the ratio of yield strength of reinforcing steel to 0.85 times 28 day compressive strength of concrete, Column Diameter is minimum size of column used in construction irrespective of small building is 9″ X 12″ (225mm X300mm) & Overall depth of column is the diameter of column.

How to calculate Maximum Permissible Eccentricity for Spiral Columns?

The Maximum Permissible Eccentricity for Spiral Columns formula is defined as a measure of the maximum permissible amount by which elliptical orbit deviates from a circle is calculated using Maximum Permissible Eccentricity = 0.43*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements*Column Diameter+0.14*Overall Depth of Column. To calculate Maximum Permissible Eccentricity for Spiral Columns, you need Area Ratio of Cross Sectional Area to Gross Area (p_g), Force Ratio of Strengths of Reinforcements (m), Column Diameter (D) & Overall Depth of Column (t). With our tool, you need to enter the respective value for Area Ratio of Cross Sectional Area to Gross Area, Force Ratio of Strengths of Reinforcements, Column Diameter & Overall Depth of Column 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 Maximum Permissible Eccentricity?

In this formula, Maximum Permissible Eccentricity uses Area Ratio of Cross Sectional Area to Gross Area, Force Ratio of Strengths of Reinforcements, Column Diameter & Overall Depth of Column. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Permissible Eccentricity = (0.67*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements*Column Diameter+0.17)*Distance from Compression to Tensile Reinforcement

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