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Area of Base Plate given Nominal Bearing Strength Formula

GoRequired Area of Base Plate for Factored Load 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{A 2}{{(\frac{f p}{f' c \cdot 0.85})}^{2}}

A₁ - Area of Base Plate?A₂ - Area of supporting Concrete?f_p - Nominal Bearing Strength?f^'c - Specified Compressive Strength of Concrete?

Area of Base Plate given Nominal Bearing Strength Example

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Here is how the Area of Base Plate given Nominal Bearing Strength equation looks like with Values.

Here is how the Area of Base Plate given Nominal Bearing Strength equation looks like with Units.

Here is how the Area of Base Plate given Nominal Bearing Strength equation looks like.

700.017 = \frac{1400}{{(\frac{132.6}{110.31 \cdot 0.85})}^{2}}

700.017mm² = \frac{1400mm²}{{(\frac{132.6Pa}{110.31Pa \cdot 0.85})}^{2}}

700.017 = \frac{1400}{{(\frac{132.6}{110.31 \cdot 0.85})}^{2}}

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Area of Base Plate given Nominal Bearing Strength Solution

Follow our step by step solution on how to calculate Area of Base Plate given Nominal Bearing Strength?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A 1 = \frac{1400mm²}{{(\frac{132.6Pa}{110.31Pa \cdot 0.85})}^{2}}

Next Step Convert Units

∴

A 1 = \frac{1400mm²}{{(\frac{0.0001MPa}{0.0001MPa \cdot 0.85})}^{2}}

Next Step Prepare to Evaluate

∴

A 1 = \frac{1400}{{(\frac{0.0001}{0.0001 \cdot 0.85})}^{2}}

Next Step Evaluate

∴

A 1 = 0.000700017034023668m²

Next Step Convert to Output's Unit

∴

A 1 = 700.017034023668mm²

LAST Step Rounding Answer

∴

A 1 = 700.017mm²

Area of Base Plate given Nominal Bearing Strength 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

Area of supporting Concrete

Area of supporting concrete is geometrically similar to and concentric with the loaded area.

Symbol: A₂

Measurement: AreaUnit: mm²

Note: Value can be positive or negative.

Formulas to find Area of supporting Concrete

Nominal Bearing Strength

Nominal bearing strength the compressive strength and the ratio of the total surface area to the load bearing area.

Symbol: f_p

Measurement: StressUnit: Pa

Note: Value can be positive or negative.

Formulas to find Nominal Bearing Strength

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 Required Area of Base Plate for Factored Load

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

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 Area of Base Plate given Nominal Bearing Strength?

Area of Base Plate given Nominal Bearing Strength evaluator uses Area of Base Plate = Area of supporting Concrete/((Nominal Bearing Strength/(Specified Compressive Strength of Concrete*0.85))^2) to evaluate the Area of Base Plate, The Area of Base Plate given Nominal Bearing Strength formula is defined as the area of flat supporting plate or frame at the base of a column. Area of Base Plate is denoted by A₁ symbol.

How to evaluate Area of Base Plate given Nominal Bearing Strength using this online evaluator? To use this online evaluator for Area of Base Plate given Nominal Bearing Strength, enter Area of supporting Concrete (A₂), Nominal Bearing Strength (f_p) & Specified Compressive Strength of Concrete (f^'c) and hit the calculate button.

FAQs on Area of Base Plate given Nominal Bearing Strength

What is the formula to find Area of Base Plate given Nominal Bearing Strength?

The formula of Area of Base Plate given Nominal Bearing Strength is expressed as Area of Base Plate = Area of supporting Concrete/((Nominal Bearing Strength/(Specified Compressive Strength of Concrete*0.85))^2). Here is an example- 7E+8 = 0.0014/((132.6/(110.31*0.85))^2).

How to calculate Area of Base Plate given Nominal Bearing Strength?

With Area of supporting Concrete (A₂), Nominal Bearing Strength (f_p) & Specified Compressive Strength of Concrete (f^'c) we can find Area of Base Plate given Nominal Bearing Strength using the formula - Area of Base Plate = Area of supporting Concrete/((Nominal Bearing Strength/(Specified Compressive Strength of Concrete*0.85))^2).

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=Factored Load/(0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete)

Can the Area of Base Plate given Nominal Bearing Strength be negative?

No, the Area of Base Plate given Nominal Bearing Strength, measured in Area cannot be negative.

Which unit is used to measure Area of Base Plate given Nominal Bearing Strength?

Area of Base Plate given Nominal Bearing Strength 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 of Base Plate given Nominal Bearing Strength can be measured.

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Area of Base Plate given Nominal Bearing Strength Formula

​GoRequired Area of Base Plate for Factored Load Formula

Area of Base Plate given Nominal Bearing Strength Example

Area of Base Plate given Nominal Bearing Strength Solution

Area of Base Plate given Nominal Bearing Strength Formula Elements

Other Formulas to find Area of Base Plate

Other formulas in Column Base Plate Design category

How to Evaluate Area of Base Plate given Nominal Bearing Strength?

FAQs on Area of Base Plate given Nominal Bearing Strength

Variable Name

GoRequired Area of Base Plate for Factored Load Formula