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Maximum Permissible Eccentricity for Tied Columns Formula

GoMaximum Permissible Eccentricity for Spiral Columns Formula

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

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

e_b - Maximum Permissible Eccentricity?p_g - Area Ratio of Cross Sectional Area to Gross Area?m - Force Ratio of Strengths of Reinforcements?D - Column Diameter?d - Distance from Compression to Tensile Reinforcement?

Maximum Permissible Eccentricity for Tied Columns Example

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Here is how the Maximum Permissible Eccentricity for Tied Columns equation looks like with Values.

Here is how the Maximum Permissible Eccentricity for Tied Columns equation looks like with Units.

Here is how the Maximum Permissible Eccentricity for Tied Columns equation looks like.

44.0565 = (0.67 \cdot 8.01 \cdot 0.41 \cdot 10.01 + 0.17) \cdot 20.001

44.0565m = (0.67 \cdot 8.01 \cdot 0.41 \cdot 10.01m + 0.17) \cdot 20.001mm

44.0565 = (0.67 \cdot 8.01 \cdot 0.41 \cdot 10.01 + 0.17) \cdot 20.001

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Maximum Permissible Eccentricity for Tied Columns Solution

Follow our step by step solution on how to calculate Maximum Permissible Eccentricity for Tied Columns?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e b = (0.67 \cdot 8.01 \cdot 0.41 \cdot 10.01m + 0.17) \cdot 20.001mm

Next Step Convert Units

∴

e b = (0.67 \cdot 8.01 \cdot 0.41 \cdot 1001cm + 0.17) \cdot 2.0001cm

Next Step Prepare to Evaluate

∴

e b = (0.67 \cdot 8.01 \cdot 0.41 \cdot 1001 + 0.17) \cdot 2.0001

Next Step Evaluate

∴

e b = 44.056549657347m

LAST Step Rounding Answer

∴

e b = 44.0565m

Maximum Permissible Eccentricity for Tied Columns Formula Elements

Variables

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

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

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

Distance from Compression to Tensile Reinforcement

Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm).

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Compression to Tensile Reinforcement

Other Formulas to find Maximum Permissible Eccentricity

Go Maximum Permissible Eccentricity for Spiral Columns

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

Other formulas in Design Under Axial Compression with Biaxial Bending category

Go Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns

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

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

Go Reinforcement Yield Strength given Axial Load for Tied Columns

f y = \frac{M}{0.40 \cdot A \cdot (d - d')}

How to Evaluate Maximum Permissible Eccentricity for Tied Columns?

Maximum Permissible Eccentricity for Tied Columns evaluator 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 evaluate 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 evaluate Maximum Permissible Eccentricity for Tied Columns using this online evaluator? To use this online evaluator 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.

FAQs on Maximum Permissible Eccentricity for Tied Columns

What is the formula to find Maximum Permissible Eccentricity for Tied Columns?

The formula of Maximum Permissible Eccentricity for Tied Columns is expressed as 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. Here is an example- 0.433187 = (0.67*8.01*0.41*10.01+0.17)*0.020001.

How to calculate Maximum Permissible Eccentricity for Tied Columns?

With 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) we can find Maximum Permissible Eccentricity for Tied Columns using the formula - 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.

What are the other ways to Calculate Maximum Permissible Eccentricity?

Here are the different ways to Calculate Maximum Permissible Eccentricity-

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

Can the Maximum Permissible Eccentricity for Tied Columns be negative?

No, the Maximum Permissible Eccentricity for Tied Columns, measured in Length cannot be negative.

Which unit is used to measure Maximum Permissible Eccentricity for Tied Columns?

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

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Maximum Permissible Eccentricity for Tied Columns Formula

​GoMaximum Permissible Eccentricity for Spiral Columns Formula

Maximum Permissible Eccentricity for Tied Columns Example

Maximum Permissible Eccentricity for Tied Columns Solution

Maximum Permissible Eccentricity for Tied Columns Formula Elements

Other Formulas to find Maximum Permissible Eccentricity

Other formulas in Design Under Axial Compression with Biaxial Bending category

How to Evaluate Maximum Permissible Eccentricity for Tied Columns?

FAQs on Maximum Permissible Eccentricity for Tied Columns

Variable Name

GoMaximum Permissible Eccentricity for Spiral Columns Formula