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Factored Load given Base Plate Area Formula

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

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

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

Factored Load given Base Plate Area Example

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Here is how the Factored Load given Base Plate Area equation looks like with Values.

Here is how the Factored Load given Base Plate Area equation looks like with Units.

Here is how the Factored Load given Base Plate Area equation looks like.

39380.67 = 700 \cdot 0.85 \cdot 0.6 \cdot 110.31

39380.67kN = 700mm² \cdot 0.85 \cdot 0.6 \cdot 110.31Pa

39380.67 = 700 \cdot 0.85 \cdot 0.6 \cdot 110.31

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Factored Load given Base Plate Area Solution

Follow our step by step solution on how to calculate Factored Load given Base Plate Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P u = 700mm² \cdot 0.85 \cdot 0.6 \cdot 110.31Pa

Next Step Prepare to Evaluate

∴

P u = 700 \cdot 0.85 \cdot 0.6 \cdot 110.31

Next Step Evaluate

∴

P u = 39380670N

LAST Step Convert to Output's Unit

∴

P u = 39380.67kN

Factored Load given Base Plate Area Formula Elements

Variables

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

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

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 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 Base Plate given Nominal Bearing Strength

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

Go Area of Supporting Concrete given Nominal Bearing Strength

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

How to Evaluate Factored Load given Base Plate Area?

Factored Load given Base Plate Area evaluator uses Factored Load = Area of Base Plate*0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete to evaluate the Factored Load, The Factored Load given Base Plate Area formula is defined as a load multiplied by a certain factor designated by codes of practice to determine the strength of a structural members such as reinforced concrete. Factored Load is denoted by P_u symbol.

How to evaluate Factored Load given Base Plate Area using this online evaluator? To use this online evaluator for Factored Load given Base Plate Area, enter Area of Base Plate (A₁), Strength Reduction Factor (ϕ_c) & Specified Compressive Strength of Concrete (f^'c) and hit the calculate button.

FAQs on Factored Load given Base Plate Area

What is the formula to find Factored Load given Base Plate Area?

The formula of Factored Load given Base Plate Area is expressed as Factored Load = Area of Base Plate*0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete. Here is an example- 39.38067 = 0.0007*0.85*0.6*110.31.

How to calculate Factored Load given Base Plate Area?

With Area of Base Plate (A₁), Strength Reduction Factor (ϕ_c) & Specified Compressive Strength of Concrete (f^'c) we can find Factored Load given Base Plate Area using the formula - Factored Load = Area of Base Plate*0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete.

Can the Factored Load given Base Plate Area be negative?

Yes, the Factored Load given Base Plate Area, measured in Force can be negative.

Which unit is used to measure Factored Load given Base Plate Area?

Factored Load given Base Plate Area is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Factored Load given Base Plate Area can be measured.

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