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Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns Formula

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Column Diameter is minimum size of column used in construction irrespective of small building is 9″ X 12″ (225mm X300mm). Check FAQs

D = \frac{e b - 0.14 \cdot t}{0.43 \cdot p g \cdot m}

D - Column Diameter?e_b - Maximum Permissible Eccentricity?t - Overall Depth of Column?p_g - Area Ratio of Cross Sectional Area to Gross Area?m - Force Ratio of Strengths of Reinforcements?

Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns Example

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Here is how the Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns equation looks like with Values.

Here is how the Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns equation looks like with Units.

Here is how the Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns equation looks like.

9.7446 = \frac{15 - 0.14 \cdot 8.85}{0.43 \cdot 8.01 \cdot 0.41}

9.7446m = \frac{15m - 0.14 \cdot 8.85m}{0.43 \cdot 8.01 \cdot 0.41}

9.7446 = \frac{15 - 0.14 \cdot 8.85}{0.43 \cdot 8.01 \cdot 0.41}

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Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns Solution

Follow our step by step solution on how to calculate Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns?

FIRST Step Consider the formula

D = \frac{e b - 0.14 \cdot t}{0.43 \cdot p g \cdot m}

Next Step Substitute values of Variables

∴

D = \frac{15m - 0.14 \cdot 8.85m}{0.43 \cdot 8.01 \cdot 0.41}

Next Step Prepare to Evaluate

∴

D = \frac{15 - 0.14 \cdot 8.85}{0.43 \cdot 8.01 \cdot 0.41}

Next Step Evaluate

∴

D = 9.7446257974469m

LAST Step Rounding Answer

∴

D = 9.7446m

Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns Formula Elements

Variables

Column Diameter

Column Diameter is minimum size of column used in construction irrespective of small building is 9″ X 12″ (225mm X300mm).

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Column Diameter

Maximum Permissible Eccentricity

Maximum Permissible Eccentricity is the maximum permissible amount by which elliptical orbit deviates from a circle.

Symbol: e_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Maximum Permissible Eccentricity

Overall Depth of Column

Overall depth of column is the diameter of column.

Symbol: t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Overall Depth 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.

Symbol: p_g

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Area Ratio of Cross Sectional Area to Gross Area

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.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Force Ratio of Strengths of Reinforcements

Other formulas in Design Under Axial Compression with Biaxial Bending category

Go Maximum Permissible Eccentricity for Spiral Columns

e b = 0.43 \cdot p g \cdot m \cdot D + 0.14 \cdot t

Go Maximum Permissible Eccentricity for Tied Columns

e b = (0.67 \cdot p g \cdot m \cdot D + 0.17) \cdot d

Go Column Diameter given Maximum Permissible Eccentricity for Spiral Columns

t = \frac{e b - 0.43 \cdot p g \cdot m \cdot D}{0.14}

Go Bending Moment for Spiral Columns

M = 0.12 \cdot A st \cdot f y \cdot D b

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

Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns evaluator 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 evaluate 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 evaluate Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns using this online evaluator? To use this online evaluator 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.

FAQs on Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns

What is the formula to find Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns?

The formula of Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns is expressed as 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). Here is an example- 9.988241 = (15-0.14*8.85)/(0.43*8.01*0.41).

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

With 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) we can find Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns using the formula - 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).

Can the Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns be negative?

No, the Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns, measured in Length cannot be negative.

Which unit is used to measure Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns?

Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns can be measured.

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Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns Formula

Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns Example

Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns Solution

Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns Formula Elements

Other formulas in Design Under Axial Compression with Biaxial Bending category

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

FAQs on Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns

Variable Name