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
eb = 0.43*pg*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
eb = 0.43*pg*m*D+0.14*t --> 0.43*8.01*0.41*10.01+0.14*8.85
Evaluating ... ...
eb = 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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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

Maximum Permissible Eccentricity for Spiral Columns Formula

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
eb = 0.43*pg*m*D+0.14*t

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 eb 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 (pg), 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 eb = 0.43*pg*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 (pg), 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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