Nominal Shear Stress Calculator

✖Total Shear is the total shear force acting on a beam.ⓘ Total Shear [V]			+10% -10%
✖The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength.ⓘ Capacity Reduction Factor [φ]			+10% -10%
✖Overall Thickness of Wall is the wall thickness in millimeters.ⓘ Overall Thickness of Wall [h]			+10% -10%
✖Design Horizontal Length of wall is 0.8 times the horizontal length of the wall denoted by 'd'.ⓘ Design Horizontal Length [d]			+10% -10%

✖Nominal Shear Stress is calculated using the basic principles of mechanics and material properties of the concrete. It does not take into account any additional reinforcing forces.ⓘ Nominal Shear Stress [v_u]

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Formula

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Nominal Shear Stress

Formula

`"v"_{"u"} = ("V"/("φ"*"h"*"d"))`

Example

`"1176.471N/m²"=("500.00N"/("0.85"*"200mm"*"2500mm"))`

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Nominal Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nominal Shear Stress = (Total Shear/(Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length))
v_u = (V/(φ*h*d))
This formula uses 5 Variables

Variables Used

Nominal Shear Stress - (Measured in Pascal) - Nominal Shear Stress is calculated using the basic principles of mechanics and material properties of the concrete. It does not take into account any additional reinforcing forces.
Total Shear - (Measured in Newton) - Total Shear is the total shear force acting on a beam.
Capacity Reduction Factor - The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength.
Overall Thickness of Wall - (Measured in Meter) - Overall Thickness of Wall is the wall thickness in millimeters.
Design Horizontal Length - (Measured in Meter) - Design Horizontal Length of wall is 0.8 times the horizontal length of the wall denoted by 'd'.

STEP 1: Convert Input(s) to Base Unit

Total Shear: 500 Newton --> 500 Newton No Conversion Required
Capacity Reduction Factor: 0.85 --> No Conversion Required
Overall Thickness of Wall: 200 Millimeter --> 0.2 Meter (Check conversion here)
Design Horizontal Length: 2500 Millimeter --> 2.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_u = (V/(φ*h*d)) --> (500/(0.85*0.2*2.5))

Evaluating ... ...

v_u = 1176.47058823529

STEP 3: Convert Result to Output's Unit

1176.47058823529 Pascal -->1176.47058823529 Newton per Square Meter (Check conversion here)

FINAL ANSWER

1176.47058823529 ≈ 1176.471 Newton per Square Meter <-- Nominal Shear Stress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Concrete Formulas » Frames and Flat Plate » Braced and Unbraced Frames » Shear Walls » Nominal Shear Stress

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

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< 8 Shear Walls Calculators

Shear carried by Concrete

Go Shear carried by Concrete = 3.3*sqrt(Specified 28-Day Compressive Strength of Concrete)*Overall Thickness of Wall*Design Horizontal Length-((Design Axial Load*Design Horizontal Length)/(4*Horizontal Length of Wall))

Concrete Strength given Shear Force

Go Specified 28-Day Compressive Strength of Concrete = ((1/(3.3*Design Horizontal Length*Overall Thickness of Wall))*(Shear carried by Concrete+((Design Axial Load*Design Horizontal Length)/(4*Horizontal Length of Wall))))^2

Maximum Shear Strength

Go Shear Strength = 10*Overall Thickness of Wall*0.8*Horizontal Length of Wall*sqrt(Specified 28-Day Compressive Strength of Concrete)

Nominal Shear Stress

Go Nominal Shear Stress = (Total Shear/(Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length))

Wall Overall Thickness given Nominal Shear Stress

Go Overall Thickness of Wall = Total Shear/(Capacity Reduction Factor*Nominal Shear Stress*Design Horizontal Length)

Wall Horizontal Length given Nominal Shear Stress

Go Design Horizontal Length = Total Shear/(Overall Thickness of Wall*Capacity Reduction Factor*Nominal Shear Stress)

Total Design Shear Force given Nominal Shear Stress

Go Total Shear = Nominal Shear Stress*Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length

Minimum Horizontal Reinforcement

Go Horizontal Reinforcement = 0.0025+0.5*(2.5-(Total Height of Wall/Horizontal Length of Wall))

Nominal Shear Stress Formula

Nominal Shear Stress = (Total Shear/(Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length))
v_u = (V/(φ*h*d))

What is Nominal Shear Stress?

Nominal shear stress is the shear force generated on the structure due to the force imposed on a given cross-sectional area. The force may be either vertical or horizontal.

What is Shear Strength?

In engineering, shear strength is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear. A shear load is a force that tends to produce a sliding failure on a material along a plane that is parallel to the direction of the force.

How to Calculate Nominal Shear Stress?

Nominal Shear Stress calculator uses Nominal Shear Stress = (Total Shear/(Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length)) to calculate the Nominal Shear Stress, The Nominal Shear Stress formula is defined as the shear stress concrete can resist by the help of total design force, capacity reduction factor, overall thickness of wall and horizontal length of wall. Nominal Shear Stress is denoted by v_u symbol.

How to calculate Nominal Shear Stress using this online calculator? To use this online calculator for Nominal Shear Stress, enter Total Shear (V), Capacity Reduction Factor (φ), Overall Thickness of Wall (h) & Design Horizontal Length (d) and hit the calculate button. Here is how the Nominal Shear Stress calculation can be explained with given input values -> 1176.471 = (500/(0.85*0.2*2.5)).

FAQ

What is Nominal Shear Stress?

The Nominal Shear Stress formula is defined as the shear stress concrete can resist by the help of total design force, capacity reduction factor, overall thickness of wall and horizontal length of wall and is represented as v_u = (V/(φ*h*d)) or Nominal Shear Stress = (Total Shear/(Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length)). Total Shear is the total shear force acting on a beam, The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength, Overall Thickness of Wall is the wall thickness in millimeters & Design Horizontal Length of wall is 0.8 times the horizontal length of the wall denoted by 'd'.

How to calculate Nominal Shear Stress?

The Nominal Shear Stress formula is defined as the shear stress concrete can resist by the help of total design force, capacity reduction factor, overall thickness of wall and horizontal length of wall is calculated using Nominal Shear Stress = (Total Shear/(Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length)). To calculate Nominal Shear Stress, you need Total Shear (V), Capacity Reduction Factor (φ), Overall Thickness of Wall (h) & Design Horizontal Length (d). With our tool, you need to enter the respective value for Total Shear, Capacity Reduction Factor, Overall Thickness of Wall & Design Horizontal Length 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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