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Area Required by Base Plate Formula

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Area required by Bearing Plate is the space occupied by the bearing plate on concrete. Check FAQs

A 1 = \frac{C l}{0.7 \cdot f c'}

A₁ - Area required by Bearing Plate?C_l - Column Load?f_c' - Specified Compressive Strength of Concrete?

Area Required by Base Plate Example

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Here is how the Area Required by Base Plate equation looks like with Values.

Here is how the Area Required by Base Plate equation looks like with Units.

Here is how the Area Required by Base Plate equation looks like.

23979.5918 = \frac{470}{0.7 \cdot 28}

23979.5918mm² = \frac{470kN}{0.7 \cdot 28MPa}

23979.5918 = \frac{470}{0.7 \cdot 28}

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Area Required by Base Plate Solution

Follow our step by step solution on how to calculate Area Required by Base Plate?

FIRST Step Consider the formula

A 1 = \frac{C l}{0.7 \cdot f c'}

Next Step Substitute values of Variables

∴

A 1 = \frac{470kN}{0.7 \cdot 28MPa}

Next Step Convert Units

∴

A 1 = \frac{470000N}{0.7 \cdot 2.8E+7Pa}

Next Step Prepare to Evaluate

∴

A 1 = \frac{470000}{0.7 \cdot 2.8E+7}

Next Step Evaluate

∴

A 1 = 0.0239795918367347m²

Next Step Convert to Output's Unit

∴

A 1 = 23979.5918367347mm²

LAST Step Rounding Answer

∴

A 1 = 23979.5918mm²

Area Required by Base Plate Formula Elements

Variables

Area required by Bearing Plate

Area required by Bearing Plate is the space occupied by the bearing plate on concrete.

Symbol: A₁

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area required by Bearing Plate

Column Load

Column Load is the total vertical force or weight that a column in a structure is designed to support. This includes the self-weight and weight from other parts of the structure.

Symbol: C_l

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Column Load

Specified Compressive Strength of Concrete

Specified Compressive Strength of Concrete is the capacity of concrete to withstand applied loads on its surface without exhibiting cracks or deformations.

Symbol: f_c'

Measurement: StressUnit: MPa

Note: Value should be between 17 to 70.

Formulas to find Specified Compressive Strength of Concrete

Other formulas in Column Base Plates category

Go Column Load for given Base Plate Area

C l = A 1 \cdot 0.7 \cdot f c'

Go Plate Length

N = \sqrt{A 1} + (0.5 \cdot ((0.95 \cdot d) - (0.80 \cdot B)))

Go Thickness of Plate

t = 2 \cdot p \cdot \sqrt{\frac{f p}{F y}}

Go Column Flange Width given Plate Length

B = \frac{0.95 \cdot d - \frac{N - \sqrt{A 1}}{0.5}}{0.80}

How to Evaluate Area Required by Base Plate?

Area Required by Base Plate evaluator uses Area required by Bearing Plate = Column Load/(0.7*Specified Compressive Strength of Concrete) to evaluate the Area required by Bearing Plate, The Area Required by Base Plate formula is defined as the minimum area needed for the column base plate to prevent failure. Area required by Bearing Plate is denoted by A₁ symbol.

How to evaluate Area Required by Base Plate using this online evaluator? To use this online evaluator for Area Required by Base Plate, enter Column Load (C_l) & Specified Compressive Strength of Concrete (f_c') and hit the calculate button.

FAQs on Area Required by Base Plate

What is the formula to find Area Required by Base Plate?

The formula of Area Required by Base Plate is expressed as Area required by Bearing Plate = Column Load/(0.7*Specified Compressive Strength of Concrete). Here is an example- 2.4E+10 = 470000/(0.7*28000000).

How to calculate Area Required by Base Plate?

With Column Load (C_l) & Specified Compressive Strength of Concrete (f_c') we can find Area Required by Base Plate using the formula - Area required by Bearing Plate = Column Load/(0.7*Specified Compressive Strength of Concrete).

Can the Area Required by Base Plate be negative?

No, the Area Required by Base Plate, measured in Area cannot be negative.

Which unit is used to measure Area Required by Base Plate?

Area Required by Base Plate is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Area Required by Base Plate can be measured.

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