Design Shear given Shear Friction Reinforcement Area Calculator

✖The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength.ⓘ Capacity Reduction Factor [φ]			+10% -10%
✖Yield Strength of Steel is the level of stress that corresponds to the yield point.ⓘ Yield Strength of Steel [f_y]			+10% -10%
✖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.ⓘ Coefficient of Friction [μ_friction]			+10% -10%
✖Area of Shear Friction Reinforcement is required in addition to reinforcement provided to take the direct tension due to temperature changes or shrinkage.ⓘ Area of Shear Friction Reinforcement [A_vt]			+10% -10%

✖Design Shear is a force that acts parallel to the surface of a material, causing its internal layers to slide past each other.ⓘ Design Shear given Shear Friction Reinforcement Area [Vu]

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Design Shear given Shear Friction Reinforcement Area

Formula

`"Vu" = "φ"*"f"_{"y"}*"μ"_{"friction"}*"A"_{"vt"}`

Example

`"1275kN"="0.85"*"250MPa"*"0.2"*"0.03m²"`

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Design Shear given Shear Friction Reinforcement Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Design Shear = Capacity Reduction Factor*Yield Strength of Steel*Coefficient of Friction*Area of Shear Friction Reinforcement
Vu = φ*f_y*μ_friction*A_vt
This formula uses 5 Variables

Variables Used

Design Shear - (Measured in Newton) - Design Shear is a force that acts parallel to the surface of a material, causing its internal layers to slide past each other.
Capacity Reduction Factor - The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength.
Yield Strength of Steel - (Measured in Pascal) - Yield Strength of Steel is the level of stress that corresponds to the yield point.
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.
Area of Shear Friction Reinforcement - (Measured in Square Meter) - Area of Shear Friction Reinforcement is required in addition to reinforcement provided to take the direct tension due to temperature changes or shrinkage.

STEP 1: Convert Input(s) to Base Unit

Capacity Reduction Factor: 0.85 --> No Conversion Required
Yield Strength of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)
Coefficient of Friction: 0.2 --> No Conversion Required
Area of Shear Friction Reinforcement: 0.03 Square Meter --> 0.03 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Vu = φ*f_y*μ_friction*A_vt --> 0.85*250000000*0.2*0.03

Evaluating ... ...

Vu = 1275000

STEP 3: Convert Result to Output's Unit

1275000 Newton -->1275 Kilonewton (Check conversion here)

FINAL ANSWER

1275 Kilonewton <-- Design Shear

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Concrete Formulas » Deflection Computations, Column Moments and Torsion » Column Moments » Design Shear given Shear Friction Reinforcement Area

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< 4 Column Moments Calculators

Reinforcement Yield Strength given Shear Friction Reinforcement Area

Go Yield Strength of Steel = Design Shear/(Capacity Reduction Factor*Coefficient of Friction*Area of Shear Friction Reinforcement)

Shear Friction Reinforcement Area

Go Area of Shear Friction Reinforcement = Design Shear/(Capacity Reduction Factor*Yield Strength of Steel*Coefficient of Friction)

Design Shear given Shear Friction Reinforcement Area

Go Design Shear = Capacity Reduction Factor*Yield Strength of Steel*Coefficient of Friction*Area of Shear Friction Reinforcement

Eccentricity of Shear

Go Eccentricity of Shear = 1-(1/(1+((2/3)*(Width of Critical Section/Width Perpendicular to Critical Section)^(1/2))))

Design Shear given Shear Friction Reinforcement Area Formula

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

What is Shear Friction?

Shear friction is when the falling apart of the concrete pieces across a crack in an RC member is resisted by friction between the two pieces. Basically, the transfer of shear at such conditions is shear friction.

What is Shear Friction Reinforcement?

Shear friction reinforcement is the reinforcement in tension that provides a clamping force across the crack faces.

How to Calculate Design Shear given Shear Friction Reinforcement Area?

Design Shear given Shear Friction Reinforcement Area calculator uses Design Shear = Capacity Reduction Factor*Yield Strength of Steel*Coefficient of Friction*Area of Shear Friction Reinforcement to calculate 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 calculate Design Shear given Shear Friction Reinforcement Area using this online calculator? To use this online calculator 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. Here is how the Design Shear given Shear Friction Reinforcement Area calculation can be explained with given input values -> 1.275 = 0.85*250000000*0.2*0.03.

FAQ

What is Design Shear given Shear Friction Reinforcement Area?

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 and is represented as Vu = φ*f_y*μ_friction*A_vt or Design Shear = Capacity Reduction Factor*Yield Strength of Steel*Coefficient of Friction*Area of Shear Friction Reinforcement. The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength, Yield Strength of Steel is the level of stress that corresponds to the yield point, 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 & Area of Shear Friction Reinforcement is required in addition to reinforcement provided to take the direct tension due to temperature changes or shrinkage.

How to calculate Design Shear given Shear Friction Reinforcement Area?

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 is calculated using Design Shear = Capacity Reduction Factor*Yield Strength of Steel*Coefficient of Friction*Area of Shear Friction Reinforcement. To calculate Design Shear given Shear Friction Reinforcement Area, you need Capacity Reduction Factor (φ), Yield Strength of Steel (f_y), Coefficient of Friction (μ_friction) & Area of Shear Friction Reinforcement (A_vt). With our tool, you need to enter the respective value for Capacity Reduction Factor, Yield Strength of Steel, Coefficient of Friction & Area of Shear Friction Reinforcement and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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