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Shear Friction Reinforcement Area Formula

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Area of Shear Friction Reinforcement is required in addition to reinforcement provided to take the direct tension due to temperature changes or shrinkage. Check FAQs

A vt = \frac{Vu}{φ \cdot f y \cdot μ friction}

A_vt - Area of Shear Friction Reinforcement?Vu - Design Shear?φ - Capacity Reduction Factor?f_y - Yield Strength of Steel?μ_friction - Coefficient of Friction?

Shear Friction Reinforcement Area Example

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Here is how the Shear Friction Reinforcement Area equation looks like with Values.

Here is how the Shear Friction Reinforcement Area equation looks like with Units.

Here is how the Shear Friction Reinforcement Area equation looks like.

0.03 = \frac{1275}{0.85 \cdot 250 \cdot 0.2}

0.03m² = \frac{1275kN}{0.85 \cdot 250MPa \cdot 0.2}

0.03 = \frac{1275}{0.85 \cdot 250 \cdot 0.2}

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Shear Friction Reinforcement Area Solution

Follow our step by step solution on how to calculate Shear Friction Reinforcement Area?

FIRST Step Consider the formula

A vt = \frac{Vu}{φ \cdot f y \cdot μ friction}

Next Step Substitute values of Variables

∴

A vt = \frac{1275kN}{0.85 \cdot 250MPa \cdot 0.2}

Next Step Convert Units

∴

A vt = \frac{1.3E+6N}{0.85 \cdot 2.5E+8Pa \cdot 0.2}

Next Step Prepare to Evaluate

∴

A vt = \frac{1.3E+6}{0.85 \cdot 2.5E+8 \cdot 0.2}

LAST Step Evaluate

∴

A vt = 0.03m²

Shear Friction Reinforcement Area Formula Elements

Variables

Area of Shear Friction Reinforcement

Area of Shear Friction Reinforcement is required in addition to reinforcement provided to take the direct tension due to temperature changes or shrinkage.

Symbol: A_vt

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Shear Friction Reinforcement

Design Shear

Design Shear is a force that acts parallel to the surface of a material, causing its internal layers to slide past each other.

Symbol: Vu

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Design Shear

Capacity Reduction Factor

The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength.

Symbol: φ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Capacity Reduction Factor

Yield Strength of Steel

Yield Strength of Steel is the level of stress that corresponds to the yield point.

Symbol: f_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Strength of Steel

Coefficient of Friction

The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

Symbol: μ_friction

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction

Other formulas in Column Moments category

Go Eccentricity of Shear

ϒ v = 1 - (\frac{1}{1 + ((\frac{2}{3}) \cdot {(\frac{b 1}{b 2})}^{\frac{1}{2}})})

Go Design Shear given Shear Friction Reinforcement Area

Vu = φ \cdot f y \cdot μ friction \cdot A vt

Go Reinforcement Yield Strength given Shear Friction Reinforcement Area

f y = \frac{Vu}{φ \cdot μ friction \cdot A vt}

How to Evaluate Shear Friction Reinforcement Area?

Shear Friction Reinforcement Area evaluator uses Area of Shear Friction Reinforcement = Design Shear/(Capacity Reduction Factor*Yield Strength of Steel*Coefficient of Friction) to evaluate the Area of Shear Friction Reinforcement, The Shear Friction Reinforcement Area formula is defined as it takes shear friction concept which assumes that such a crack is formed when concrete will be cast at different times and that reinforcement is provided across the crack to resist relative displacement along with it. Area of Shear Friction Reinforcement is denoted by A_vt symbol.

How to evaluate Shear Friction Reinforcement Area using this online evaluator? To use this online evaluator for Shear Friction Reinforcement Area, enter Design Shear (Vu), Capacity Reduction Factor (φ), Yield Strength of Steel (f_y) & Coefficient of Friction (μ_friction) and hit the calculate button.

FAQs on Shear Friction Reinforcement Area

What is the formula to find Shear Friction Reinforcement Area?

The formula of Shear Friction Reinforcement Area is expressed as Area of Shear Friction Reinforcement = Design Shear/(Capacity Reduction Factor*Yield Strength of Steel*Coefficient of Friction). Here is an example- 0.03 = 1275000/(0.85*250000000*0.2).

How to calculate Shear Friction Reinforcement Area?

With Design Shear (Vu), Capacity Reduction Factor (φ), Yield Strength of Steel (f_y) & Coefficient of Friction (μ_friction) we can find Shear Friction Reinforcement Area using the formula - Area of Shear Friction Reinforcement = Design Shear/(Capacity Reduction Factor*Yield Strength of Steel*Coefficient of Friction).

Can the Shear Friction Reinforcement Area be negative?

No, the Shear Friction Reinforcement Area, measured in Area cannot be negative.

Which unit is used to measure Shear Friction Reinforcement Area?

Shear Friction Reinforcement Area is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Shear Friction Reinforcement Area can be measured.

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Shear Friction Reinforcement Area Formula

Shear Friction Reinforcement Area Example

Shear Friction Reinforcement Area Solution

Shear Friction Reinforcement Area Formula Elements

Other formulas in Column Moments category

How to Evaluate Shear Friction Reinforcement Area?

FAQs on Shear Friction Reinforcement Area

Variable Name