Reinforcement Yield Strength given 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%
✖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%

✖Yield Strength of Steel is the level of stress that corresponds to the yield point.ⓘ Reinforcement Yield Strength given Shear Friction Reinforcement Area [f_y]

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Reinforcement Yield Strength given Shear Friction Reinforcement Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Yield Strength of Steel - (Measured in Pascal) - Yield Strength of Steel is the level of stress that corresponds to the yield point.
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.
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

Design Shear: 1275 Kilonewton --> 1275000 Newton (Check conversion here)
Capacity Reduction Factor: 0.85 --> No Conversion Required
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

f_y = Vu/(φ*μ_friction*A_vt) --> 1275000/(0.85*0.2*0.03)

Evaluating ... ...

f_y = 250000000

STEP 3: Convert Result to Output's Unit

250000000 Pascal -->250 Megapascal (Check conversion here)

FINAL ANSWER

250 Megapascal <-- Yield Strength of Steel

(Calculation completed in 00.004 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut

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Reinforcement Yield Strength given Shear Friction Reinforcement Area

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

Shear Friction Reinforcement Area

LaTeX 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

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

Eccentricity of Shear

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

Reinforcement Yield Strength given Shear Friction Reinforcement Area Formula

LaTeX Go

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

Reinforcement Yield Strength given Shear Friction Reinforcement Area calculator uses Yield Strength of Steel = Design Shear/(Capacity Reduction Factor*Coefficient of Friction*Area of Shear Friction Reinforcement) to calculate 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 calculate Reinforcement Yield Strength given Shear Friction Reinforcement Area using this online calculator? To use this online calculator 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. Here is how the Reinforcement Yield Strength given Shear Friction Reinforcement Area calculation can be explained with given input values -> 0.00025 = 1275000/(0.85*0.2*0.03).

FAQ

What is Reinforcement Yield Strength given Shear Friction Reinforcement Area?

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 and is represented as f_y = Vu/(φ*μ_friction*A_vt) or Yield Strength of Steel = Design Shear/(Capacity Reduction Factor*Coefficient of Friction*Area of Shear Friction Reinforcement). 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, 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 Reinforcement Yield Strength given Shear Friction Reinforcement Area?

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