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Loaded Area given Design Strength of Concrete for Direct Bearing Formula

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Loaded Area is the area of column where load is acting. Check FAQs

A b = \frac{P n}{1.7 \cdot ϕ c \cdot f' c}

A _b - Loaded Area?P_n - Nominal Load?ϕ_c - Strength Reduction Factor?f'_c - Maximum Compressive Stress of Concrete?

Loaded Area given Design Strength of Concrete for Direct Bearing Example

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Here is how the Loaded Area given Design Strength of Concrete for Direct Bearing equation looks like with Values.

Here is how the Loaded Area given Design Strength of Concrete for Direct Bearing equation looks like with Units.

Here is how the Loaded Area given Design Strength of Concrete for Direct Bearing equation looks like.

10.8331 = \frac{3000.01}{1.7 \cdot 0.6 \cdot 271.5}

10.8331mm² = \frac{3000.01N}{1.7 \cdot 0.6 \cdot 271.5MPa}

10.8331 = \frac{3000.01}{1.7 \cdot 0.6 \cdot 271.5}

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Loaded Area given Design Strength of Concrete for Direct Bearing Solution

Follow our step by step solution on how to calculate Loaded Area given Design Strength of Concrete for Direct Bearing?

FIRST Step Consider the formula

A b = \frac{P n}{1.7 \cdot ϕ c \cdot f' c}

Next Step Substitute values of Variables

∴

A b = \frac{3000.01N}{1.7 \cdot 0.6 \cdot 271.5MPa}

Next Step Prepare to Evaluate

∴

A b = \frac{3000.01}{1.7 \cdot 0.6 \cdot 271.5}

Next Step Evaluate

∴

A b = 1.0833098616979E-05m²

Next Step Convert to Output's Unit

∴

A b = 10.833098616979mm²

LAST Step Rounding Answer

∴

A b = 10.8331mm²

Loaded Area given Design Strength of Concrete for Direct Bearing Formula Elements

Variables

Loaded Area

Loaded Area is the area of column where load is acting.

Symbol: A _b

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Loaded Area

Nominal Load

The Nominal Load for design should be according to the applicable code or specification under which the structure is designed or as dictated by the conditions involved.

Symbol: P_n

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Nominal 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

Maximum Compressive Stress of Concrete

The Maximum Compressive Stress of Concrete is the maximum stress that, under a gradually applied load, a given solid material can sustain without fracture.

Symbol: f'_c

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Compressive Stress of Concrete

Other formulas in Composite Columns category

Go Design Strength of Axially Loaded Composite Column

P n = 0.85 \cdot A Gross \cdot \frac{F cr}{Φ}

Go Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column

A Gross = P n \cdot \frac{Φ}{0.85 \cdot F cr}

Go Design Strength of Concrete for Direct Bearing

P n = 1.7 \cdot ϕ c \cdot A b \cdot f' c

How to Evaluate Loaded Area given Design Strength of Concrete for Direct Bearing?

Loaded Area given Design Strength of Concrete for Direct Bearing evaluator uses Loaded Area = Nominal Load/(1.7*Strength Reduction Factor*Maximum Compressive Stress of Concrete) to evaluate the Loaded Area, The Loaded Area given Design Strength of Concrete for Direct Bearing formula is defined as a function of the strength reduction factor for concrete, which is equal to 0.65, the maximum compressive stress for concrete and design strength. Loaded Area is denoted by A _b symbol.

How to evaluate Loaded Area given Design Strength of Concrete for Direct Bearing using this online evaluator? To use this online evaluator for Loaded Area given Design Strength of Concrete for Direct Bearing, enter Nominal Load (P_n), Strength Reduction Factor (ϕ_c) & Maximum Compressive Stress of Concrete (f'_c) and hit the calculate button.

FAQs on Loaded Area given Design Strength of Concrete for Direct Bearing

What is the formula to find Loaded Area given Design Strength of Concrete for Direct Bearing?

The formula of Loaded Area given Design Strength of Concrete for Direct Bearing is expressed as Loaded Area = Nominal Load/(1.7*Strength Reduction Factor*Maximum Compressive Stress of Concrete). Here is an example- 1.1E+7 = 3000.01/(1.7*0.6*271500000).

How to calculate Loaded Area given Design Strength of Concrete for Direct Bearing?

With Nominal Load (P_n), Strength Reduction Factor (ϕ_c) & Maximum Compressive Stress of Concrete (f'_c) we can find Loaded Area given Design Strength of Concrete for Direct Bearing using the formula - Loaded Area = Nominal Load/(1.7*Strength Reduction Factor*Maximum Compressive Stress of Concrete).

Can the Loaded Area given Design Strength of Concrete for Direct Bearing be negative?

No, the Loaded Area given Design Strength of Concrete for Direct Bearing, measured in Area cannot be negative.

Which unit is used to measure Loaded Area given Design Strength of Concrete for Direct Bearing?

Loaded Area given Design Strength of Concrete for Direct Bearing 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 Loaded Area given Design Strength of Concrete for Direct Bearing can be measured.

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Loaded Area given Design Strength of Concrete for Direct Bearing Formula

Loaded Area given Design Strength of Concrete for Direct Bearing Example

Loaded Area given Design Strength of Concrete for Direct Bearing Solution

Loaded Area given Design Strength of Concrete for Direct Bearing Formula Elements

Other formulas in Composite Columns category

How to Evaluate Loaded Area given Design Strength of Concrete for Direct Bearing?

FAQs on Loaded Area given Design Strength of Concrete for Direct Bearing

Variable Name