Column Diameter given Maximum Permissible Eccentricity for Spiral Columns Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
t = (eb-0.43*pg*m*D)/0.14
This formula uses 5 Variables
Variables Used
Overall Depth of Column - (Measured in Meter) - Overall depth of column is the diameter of column.
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).
STEP 1: Convert Input(s) to Base Unit
Maximum Permissible Eccentricity: 15 Meter --> 15 Meter No Conversion Required
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t = (eb-0.43*pg*m*D)/0.14 --> (15-0.43*8.01*0.41*10.01)/0.14
Evaluating ... ...
t = 6.17320264285716
STEP 3: Convert Result to Output's Unit
6.17320264285716 Meter --> No Conversion Required
FINAL ANSWER
6.17320264285716 6.173203 Meter <-- Overall Depth of Column
(Calculation completed in 00.004 seconds)

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10+ Design Under Axial Compression with Biaxial Bending Calculators

Maximum Permissible Eccentricity for Tied Columns
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
Reinforcement Yield Strength given Axial Load for Tied Columns
Go Yield Strength of Reinforcement = (Bending Moment)/(0.40*Area of Tension Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement))
Tension Reinforcement Area given Axial Load for Tied Columns
Go Area of Tension Reinforcement = (Bending Moment)/(0.40*Yield Strength of Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement))
Bending Moment for Tied Columns
Go Bending Moment = 0.40*Area of Tension Reinforcement*Yield Strength of Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement)
Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns
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
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
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
Bending Moment for Spiral Columns
Go Bending Moment = 0.12*Total Area*Yield Strength of Reinforcement*Bar Diameter
Axial Moment at Balanced Condition
Go Moment at Balanced Condition = Axial Load at Balanced Condition*Maximum Permissible Eccentricity
Axial Load at Balanced Condition
Go Axial Load at Balanced Condition = Moment at Balanced Condition/Maximum Permissible Eccentricity

Column Diameter given Maximum Permissible Eccentricity for Spiral Columns Formula

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
t = (eb-0.43*pg*m*D)/0.14

What does Spiral Mean?

Definition of spiral is the path of a point in a plane moving around a central point while continuously receding from or approaching it.

How to Calculate Column Diameter given Maximum Permissible Eccentricity for Spiral Columns?

Column Diameter given Maximum Permissible Eccentricity for Spiral Columns calculator uses 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 to calculate the Overall Depth of Column, The Column Diameter given Maximum Permissible Eccentricity for Spiral Columns formula is defined as the overall depth of column Maximum Permissible Eccentricity for Spiral Columns is Given. Overall Depth of Column is denoted by t symbol.

How to calculate Column Diameter given Maximum Permissible Eccentricity for Spiral Columns using this online calculator? To use this online calculator for Column Diameter given Maximum Permissible Eccentricity for Spiral Columns, enter Maximum Permissible Eccentricity (eb), Area Ratio of Cross Sectional Area to Gross Area (pg), Force Ratio of Strengths of Reinforcements (m) & Column Diameter (D) and hit the calculate button. Here is how the Column Diameter given Maximum Permissible Eccentricity for Spiral Columns calculation can be explained with given input values -> 8.635877 = (15-0.43*8.01*0.41*10.01)/0.14.

FAQ

What is Column Diameter given Maximum Permissible Eccentricity for Spiral Columns?
The Column Diameter given Maximum Permissible Eccentricity for Spiral Columns formula is defined as the overall depth of column Maximum Permissible Eccentricity for Spiral Columns is Given and is represented as t = (eb-0.43*pg*m*D)/0.14 or 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 is the maximum permissible amount by which elliptical orbit deviates from a circle, 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).
How to calculate Column Diameter given Maximum Permissible Eccentricity for Spiral Columns?
The Column Diameter given Maximum Permissible Eccentricity for Spiral Columns formula is defined as the overall depth of column Maximum Permissible Eccentricity for Spiral Columns is Given is calculated using 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. To calculate Column Diameter given Maximum Permissible Eccentricity for Spiral Columns, you need Maximum Permissible Eccentricity (eb), Area Ratio of Cross Sectional Area to Gross Area (pg), Force Ratio of Strengths of Reinforcements (m) & Column Diameter (D). With our tool, you need to enter the respective value for Maximum Permissible Eccentricity, Area Ratio of Cross Sectional Area to Gross Area, Force Ratio of Strengths of Reinforcements & Column Diameter 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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