Shear Friction Reinforcement Area Calculator

✖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 [Vu]			+10% -10%
✖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.ⓘ Shear Friction Reinforcement Area [A_vt]

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Formula

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Shear Friction Reinforcement Area

Formula

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

Example

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

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Shear Friction Reinforcement Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Design Shear: 1275 Kilonewton --> 1275000 Newton (Check conversion here)
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_vt = Vu/(φ*f_y*μ_friction) --> 1275000/(0.85*250000000*0.2)

Evaluating ... ...

A_vt = 0.03

STEP 3: Convert Result to Output's Unit

0.03 Square Meter --> No Conversion Required

FINAL ANSWER

0.03 Square Meter <-- Area of Shear Friction Reinforcement

(Calculation completed in 00.004 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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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))))

Shear Friction Reinforcement Area Formula

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

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 Shear Friction Reinforcement Area?

Shear Friction Reinforcement Area calculator uses Area of Shear Friction Reinforcement = Design Shear/(Capacity Reduction Factor*Yield Strength of Steel*Coefficient of Friction) to calculate 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 calculate Shear Friction Reinforcement Area using this online calculator? To use this online calculator 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. Here is how the Shear Friction Reinforcement Area calculation can be explained with given input values -> 0.03 = 1275000/(0.85*250000000*0.2).

FAQ

What is Shear Friction Reinforcement Area?

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 and is represented as A_vt = Vu/(φ*f_y*μ_friction) or Area of Shear Friction Reinforcement = Design Shear/(Capacity Reduction Factor*Yield Strength of Steel*Coefficient of Friction). Design Shear is a force that acts parallel to the surface of a material, causing its internal layers to slide past each other, 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.

How to calculate Shear Friction Reinforcement Area?

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 is calculated using Area of Shear Friction Reinforcement = Design Shear/(Capacity Reduction Factor*Yield Strength of Steel*Coefficient of Friction). To calculate Shear Friction Reinforcement Area, you need Design Shear (Vu), Capacity Reduction Factor (φ), Yield Strength of Steel (f_y) & Coefficient of Friction (μ_friction). With our tool, you need to enter the respective value for Design Shear, Capacity Reduction Factor, Yield Strength of Steel & Coefficient of Friction 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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