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Required Area of Base Plate for Factored Load Formula

GoArea of Base Plate given Nominal Bearing Strength Formula

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Area of Base Plate is the area of flat supporting plate or frame at the base of a column. Check FAQs

A 1 = \frac{P u}{0.85 \cdot ϕ c \cdot f' c}

A₁ - Area of Base Plate?P_u - Factored Load?ϕ_c - Strength Reduction Factor?f^'c - Specified Compressive Strength of Concrete?

Required Area of Base Plate for Factored Load Example

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Here is how the Required Area of Base Plate for Factored Load equation looks like with Values.

Here is how the Required Area of Base Plate for Factored Load equation looks like with Units.

Here is how the Required Area of Base Plate for Factored Load equation looks like.

700.0059 = \frac{39381}{0.85 \cdot 0.6 \cdot 110.31}

700.0059mm² = \frac{39381kN}{0.85 \cdot 0.6 \cdot 110.31Pa}

700.0059 = \frac{39381}{0.85 \cdot 0.6 \cdot 110.31}

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Required Area of Base Plate for Factored Load Solution

Follow our step by step solution on how to calculate Required Area of Base Plate for Factored Load?

FIRST Step Consider the formula

A 1 = \frac{P u}{0.85 \cdot ϕ c \cdot f' c}

Next Step Substitute values of Variables

∴

A 1 = \frac{39381kN}{0.85 \cdot 0.6 \cdot 110.31Pa}

Next Step Prepare to Evaluate

∴

A 1 = \frac{39381}{0.85 \cdot 0.6 \cdot 110.31}

Next Step Evaluate

∴

A 1 = 0.000700005865821988m²

Next Step Convert to Output's Unit

∴

A 1 = 700.005865821988mm²

LAST Step Rounding Answer

∴

A 1 = 700.0059mm²

Required Area of Base Plate for Factored Load Formula Elements

Variables

Area of Base Plate

Area of Base Plate is the area of flat supporting plate or frame at the base of a column.

Symbol: A₁

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Base Plate

Factored Load

Factored Load is a load multiplied by a certain factor designated by codes of practice to determine the strength of a structural members.

Symbol: P_u

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Factored Load

Strength Reduction Factor

Strength Reduction Factor is the ratio of elastic strength to yield strength.

Symbol: ϕ_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Strength Reduction Factor

Specified Compressive Strength of Concrete

The specified compressive strength of concrete is the capacity of a material or structure to withstand loads tending to reduce the size, as opposed to which withstands loads tending to elongate.

Symbol: f^'c

Measurement: StressUnit: Pa

Note: Value can be positive or negative.

Formulas to find Specified Compressive Strength of Concrete

Other Formulas to find Area of Base Plate

Go Area of Base Plate given Nominal Bearing Strength

A 1 = \frac{A 2}{{(\frac{f p}{f' c \cdot 0.85})}^{2}}

Other formulas in Column Base Plate Design category

Go Specified Compressive Strength of Concrete using Nominal Bearing Strength

f' c = (\frac{f p}{0.85}) \cdot \sqrt{\frac{A 1}{A 2}}

Go Nominal Bearing Strength of Concrete

f p = f' c \cdot 0.85 \cdot \sqrt{\frac{A 2}{A 1}}

Go Area of Supporting Concrete given Nominal Bearing Strength

A 2 = A 1 \cdot ({(\frac{f p}{f' c \cdot 0.85})}^{2})

Go Factored Load given Base Plate Area

P u = A 1 \cdot 0.85 \cdot ϕ c \cdot f' c

How to Evaluate Required Area of Base Plate for Factored Load?

Required Area of Base Plate for Factored Load evaluator uses Area of Base Plate = Factored Load/(0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete) to evaluate the Area of Base Plate, The Required Area of Base Plate for Factored Load formula is defined as the area of a flat supporting plate or frame at the base of a column. Area of Base Plate is denoted by A₁ symbol.

How to evaluate Required Area of Base Plate for Factored Load using this online evaluator? To use this online evaluator for Required Area of Base Plate for Factored Load, enter Factored Load (P_u), Strength Reduction Factor (ϕ_c) & Specified Compressive Strength of Concrete (f^'c) and hit the calculate button.

FAQs on Required Area of Base Plate for Factored Load

What is the formula to find Required Area of Base Plate for Factored Load?

The formula of Required Area of Base Plate for Factored Load is expressed as Area of Base Plate = Factored Load/(0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete). Here is an example- 7E+8 = 39381000/(0.85*0.6*110.31).

How to calculate Required Area of Base Plate for Factored Load?

With Factored Load (P_u), Strength Reduction Factor (ϕ_c) & Specified Compressive Strength of Concrete (f^'c) we can find Required Area of Base Plate for Factored Load using the formula - Area of Base Plate = Factored Load/(0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete).

What are the other ways to Calculate Area of Base Plate?

Here are the different ways to Calculate Area of Base Plate-

Area of Base Plate=Area of supporting Concrete/((Nominal Bearing Strength/(Specified Compressive Strength of Concrete*0.85))^2)

Can the Required Area of Base Plate for Factored Load be negative?

No, the Required Area of Base Plate for Factored Load, measured in Area cannot be negative.

Which unit is used to measure Required Area of Base Plate for Factored Load?

Required Area of Base Plate for Factored Load 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 Required Area of Base Plate for Factored Load can be measured.

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