Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns Calculator

✖Maximum Permissible Eccentricity is the maximum permissible amount by which elliptical orbit deviates from a circle.ⓘ Maximum Permissible Eccentricity [e_b]			+10% -10%
✖Overall depth of column is the diameter of column.ⓘ Overall Depth of Column [t]			+10% -10%
✖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).ⓘ Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns [D]

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Formula

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Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns

Formula

`"D" = ("e"_{"b"}-0.14*"t")/(0.43*"p"_{"g"}*"m")`

Example

`"9.744626m"=("15m"-0.14*"8.85m")/(0.43*"8.01"*"0.41")`

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Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
D = (e_b-0.14*t)/(0.43*p_g*m)
This formula uses 5 Variables

Variables Used

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).
Maximum Permissible Eccentricity - (Measured in Meter) - Maximum Permissible Eccentricity is the maximum permissible amount by which elliptical orbit deviates from a circle.
Overall Depth of Column - (Measured in Meter) - Overall depth of column is the diameter of column.
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.

STEP 1: Convert Input(s) to Base Unit

Maximum Permissible Eccentricity: 15 Meter --> 15 Meter No Conversion Required
Overall Depth of Column: 8.85 Meter --> 8.85 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (e_b-0.14*t)/(0.43*p_g*m) --> (15-0.14*8.85)/(0.43*8.01*0.41)

Evaluating ... ...

D = 9.7446257974469

STEP 3: Convert Result to Output's Unit

9.7446257974469 Meter --> No Conversion Required

FINAL ANSWER

9.7446257974469 ≈ 9.744626 Meter <-- Column Diameter

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Concrete Structures » Design of Compression Members » Short Columns » Design Under Axial Compression with Biaxial Bending » Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns

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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

Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns Formula

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 Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns?

Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns calculator uses 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) to calculate the Column Diameter, The Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns formula is defined as length of line through center that touches two points on edge of circle of column. Column Diameter is denoted by D symbol.

How to calculate Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns using this online calculator? To use this online calculator for Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns, enter Maximum Permissible Eccentricity (e_b), Overall Depth of Column (t), Area Ratio of Cross Sectional Area to Gross Area (p_g) & Force Ratio of Strengths of Reinforcements (m) and hit the calculate button. Here is how the Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns calculation can be explained with given input values -> 9.988241 = (15-0.14*8.85)/(0.43*8.01*0.41).

FAQ

What is Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns?

The Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns formula is defined as length of line through center that touches two points on edge of circle of column and is represented as D = (e_b-0.14*t)/(0.43*p_g*m) or 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). Maximum Permissible Eccentricity is the maximum permissible amount by which elliptical orbit deviates from a circle, Overall depth of column is the diameter 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.

How to calculate Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns?

The Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns formula is defined as length of line through center that touches two points on edge of circle of column is calculated using 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). To calculate Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns, you need Maximum Permissible Eccentricity (e_b), Overall Depth of Column (t), Area Ratio of Cross Sectional Area to Gross Area (p_g) & Force Ratio of Strengths of Reinforcements (m). With our tool, you need to enter the respective value for Maximum Permissible Eccentricity, Overall Depth of Column, Area Ratio of Cross Sectional Area to Gross Area & Force Ratio of Strengths of Reinforcements 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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