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Design Shear given Shear Friction Reinforcement Area Formula

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

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

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

Design Shear given Shear Friction Reinforcement Area Example

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

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

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

1275 = 0.85 \cdot 250 \cdot 0.2 \cdot 0.03

1275kN = 0.85 \cdot 250MPa \cdot 0.2 \cdot 0.03m²

1275 = 0.85 \cdot 250 \cdot 0.2 \cdot 0.03

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Design Shear given Shear Friction Reinforcement Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Vu = 0.85 \cdot 250MPa \cdot 0.2 \cdot 0.03m²

Next Step Convert Units

∴

Vu = 0.85 \cdot 2.5E+8Pa \cdot 0.2 \cdot 0.03m²

Next Step Prepare to Evaluate

∴

Vu = 0.85 \cdot 2.5E+8 \cdot 0.2 \cdot 0.03

Next Step Evaluate

∴

Vu = 1275000N

LAST Step Convert to Output's Unit

∴

Vu = 1275kN

Design Shear given Shear Friction Reinforcement Area Formula Elements

Variables

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

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 Reinforcement Yield Strength given Shear Friction Reinforcement Area

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

How to Evaluate Design Shear given Shear Friction Reinforcement Area?

Design Shear given Shear Friction Reinforcement Area evaluator uses Design Shear = Capacity Reduction Factor*Yield Strength of Steel*Coefficient of Friction*Area of Shear Friction Reinforcement to evaluate the Design Shear, The Design Shear given Shear Friction Reinforcement Area formula is defined as the stresses which usually act along planes perpendicular to the longitudinal axis of a member. Design Shear is denoted by Vu symbol.

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

FAQs on Design Shear given Shear Friction Reinforcement Area

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

The formula of Design Shear given Shear Friction Reinforcement Area is expressed as Design Shear = Capacity Reduction Factor*Yield Strength of Steel*Coefficient of Friction*Area of Shear Friction Reinforcement. Here is an example- 1.275 = 0.85*250000000*0.2*0.03.

How to calculate Design Shear given Shear Friction Reinforcement Area?

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

Can the Design Shear given Shear Friction Reinforcement Area be negative?

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

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

Design Shear given Shear Friction Reinforcement Area is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Design Shear given Shear Friction Reinforcement Area can be measured.

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Design Shear given Shear Friction Reinforcement Area Formula

Design Shear given Shear Friction Reinforcement Area Example

Design Shear given Shear Friction Reinforcement Area Solution

Design Shear given Shear Friction Reinforcement Area Formula Elements

Other formulas in Column Moments category

How to Evaluate Design Shear given Shear Friction Reinforcement Area?

FAQs on Design Shear given Shear Friction Reinforcement Area

Variable Name