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Reinforcement Yield Strength given Shear Friction Reinforcement Area Formula

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

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

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

Reinforcement Yield Strength given Shear Friction Reinforcement Area Example

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

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

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

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

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

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

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Reinforcement Yield Strength given Shear Friction Reinforcement Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f y = \frac{1275kN}{0.85 \cdot 0.2 \cdot 0.03m²}

Next Step Convert Units

∴

f y = \frac{1.3E+6N}{0.85 \cdot 0.2 \cdot 0.03m²}

Next Step Prepare to Evaluate

∴

f y = \frac{1.3E+6}{0.85 \cdot 0.2 \cdot 0.03}

Next Step Evaluate

∴

f y = 250000000Pa

LAST Step Convert to Output's Unit

∴

f y = 250MPa

Reinforcement Yield Strength given Shear Friction Reinforcement Area Formula Elements

Variables

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

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

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

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

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 Shear Friction Reinforcement Area

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

Go Design Shear given Shear Friction Reinforcement Area

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

How to Evaluate Reinforcement Yield Strength given Shear Friction Reinforcement Area?

Reinforcement Yield Strength given Shear Friction Reinforcement Area evaluator uses Yield Strength of Steel = Design Shear/(Capacity Reduction Factor*Coefficient of Friction*Area of Shear Friction Reinforcement) to evaluate the Yield Strength of Steel, The Reinforcement Yield Strength given Shear Friction Reinforcement Area formula is defined as the maximum limit of the yield strength of reinforcing bars that is allowable for longitudinal bars. It should not exceed 60ksi. Yield Strength of Steel is denoted by f_y symbol.

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

FAQs on Reinforcement Yield Strength given Shear Friction Reinforcement Area

What is the formula to find Reinforcement Yield Strength given Shear Friction Reinforcement Area?

The formula of Reinforcement Yield Strength given Shear Friction Reinforcement Area is expressed as Yield Strength of Steel = Design Shear/(Capacity Reduction Factor*Coefficient of Friction*Area of Shear Friction Reinforcement). Here is an example- 0.00025 = 1275000/(0.85*0.2*0.03).

How to calculate Reinforcement Yield Strength given Shear Friction Reinforcement Area?

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

Can the Reinforcement Yield Strength given Shear Friction Reinforcement Area be negative?

No, the Reinforcement Yield Strength given Shear Friction Reinforcement Area, measured in Stress cannot be negative.

Which unit is used to measure Reinforcement Yield Strength given Shear Friction Reinforcement Area?

Reinforcement Yield Strength given Shear Friction Reinforcement Area is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Reinforcement Yield Strength given Shear Friction Reinforcement Area can be measured.

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Reinforcement Yield Strength given Shear Friction Reinforcement Area Formula

Reinforcement Yield Strength given Shear Friction Reinforcement Area Example

Reinforcement Yield Strength given Shear Friction Reinforcement Area Solution

Reinforcement Yield Strength given Shear Friction Reinforcement Area Formula Elements

Other formulas in Column Moments category

How to Evaluate Reinforcement Yield Strength given Shear Friction Reinforcement Area?

FAQs on Reinforcement Yield Strength given Shear Friction Reinforcement Area

Variable Name