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Maximum Permissible Eccentricity for Tied Columns Calculator

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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%
✖Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm).ⓘ Distance from Compression to Tensile Reinforcement [d]			+10% -10%

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

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Maximum Permissible Eccentricity for Tied Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
e_b = (0.67*p_g*m*D+0.17)*d
This formula uses 5 Variables

Variables Used

Maximum Permissible Eccentricity - (Measured in Centimeter) - 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 Centimeter) - Column Diameter is minimum size of column used in construction irrespective of small building is 9″ X 12″ (225mm X300mm).
Distance from Compression to Tensile Reinforcement - (Measured in Centimeter) - Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm).

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 --> 1001 Centimeter (Check conversion here)
Distance from Compression to Tensile Reinforcement: 20.001 Millimeter --> 2.0001 Centimeter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_b = (0.67*p_g*m*D+0.17)*d --> (0.67*8.01*0.41*1001+0.17)*2.0001

Evaluating ... ...

e_b = 4405.6549657347

STEP 3: Convert Result to Output's Unit

44.056549657347 Meter --> No Conversion Required

FINAL ANSWER

44.056549657347 ≈ 44.05655 Meter <-- Maximum Permissible Eccentricity

(Calculation completed in 00.020 seconds)

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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 Tied 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 Tied Columns?

Maximum Permissible Eccentricity for Tied Columns calculator uses 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 to calculate the Maximum Permissible Eccentricity, The Maximum Permissible Eccentricity for Tied 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 Tied Columns using this online calculator? To use this online calculator for Maximum Permissible Eccentricity for Tied Columns, enter Area Ratio of Cross Sectional Area to Gross Area (p_g), Force Ratio of Strengths of Reinforcements (m), Column Diameter (D) & Distance from Compression to Tensile Reinforcement (d) and hit the calculate button. Here is how the Maximum Permissible Eccentricity for Tied Columns calculation can be explained with given input values -> 0.433187 = (0.67*8.01*0.41*10.01+0.17)*0.020001.

FAQ

What is Maximum Permissible Eccentricity for Tied Columns?

The Maximum Permissible Eccentricity for Tied 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 = (0.67*p_g*m*D+0.17)*d or 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. 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) & Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm).

How to calculate Maximum Permissible Eccentricity for Tied Columns?

The Maximum Permissible Eccentricity for Tied 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 = (0.67*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. To calculate Maximum Permissible Eccentricity for Tied Columns, you need Area Ratio of Cross Sectional Area to Gross Area (p_g), Force Ratio of Strengths of Reinforcements (m), Column Diameter (D) & Distance from Compression to Tensile Reinforcement (d). 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 & Distance from Compression to Tensile Reinforcement 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 & Distance from Compression to Tensile Reinforcement. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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