Nominal Unit Shear Stress Calculator

✖Total Shear is defined as the total shear force acting on the body.ⓘ Total Shear [V]			+10% -10%
✖Beam Width for Nominal Shear is the shortest/least measurement of the beam.ⓘ Beam Width for Nominal Shear [b_ns]			+10% -10%
✖Compression to Centroid Reinforcement Distance is the distance from extreme compression surface to the centroid of compression reinforcement.ⓘ Compression to Centroid Reinforcement Distance [d']			+10% -10%

✖Nominal Shear Stress is the shear force generated on the structure due to the force imposed on a given cross-sectional area.ⓘ Nominal Unit Shear Stress [V_n]

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Nominal Unit Shear Stress

Formula

`"V"_{"n"} = "V"/("b"_{"ns"}*"d'")`

Example

`"19.80198N/mm²"="3000N"/("15mm"*"10.1mm")`

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Nominal Unit Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nominal Shear Stress = Total Shear/(Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance)
V_n = V/(b_ns*d')
This formula uses 4 Variables

Variables Used

Nominal Shear Stress - (Measured in Pascal) - Nominal Shear Stress is the shear force generated on the structure due to the force imposed on a given cross-sectional area.
Total Shear - (Measured in Newton) - Total Shear is defined as the total shear force acting on the body.
Beam Width for Nominal Shear - (Measured in Meter) - Beam Width for Nominal Shear is the shortest/least measurement of the beam.
Compression to Centroid Reinforcement Distance - (Measured in Meter) - Compression to Centroid Reinforcement Distance is the distance from extreme compression surface to the centroid of compression reinforcement.

STEP 1: Convert Input(s) to Base Unit

Total Shear: 3000 Newton --> 3000 Newton No Conversion Required
Beam Width for Nominal Shear: 15 Millimeter --> 0.015 Meter (Check conversion here)
Compression to Centroid Reinforcement Distance: 10.1 Millimeter --> 0.0101 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_n = V/(b_ns*d') --> 3000/(0.015*0.0101)

Evaluating ... ...

V_n = 19801980.1980198

STEP 3: Convert Result to Output's Unit

19801980.1980198 Pascal -->19.8019801980198 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

19.8019801980198 ≈ 19.80198 Newton per Square Millimeter <-- Nominal Shear Stress

(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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Bhilai Institute of Technology (BIT), Raipur

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< 13 Allowable Shear Calculators

Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances

Go Stirrup Spacing = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance*(sin(Angle at which Stirrup is Inclined)+cos(Angle at which Stirrup is Inclined)))/(Excess Shear given Stirrup Leg Area for Bars Bent)

Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances

Go Excess Shear given Stirrup Leg Area for Bars Bent = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance*(sin(Angle at which Stirrup is Inclined)+cos(Angle at which Stirrup is Inclined)))/(Stirrup Spacing)

Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances

Go Stirrup Area = (Excess Shear given Stirrup Leg Area for Bars Bent*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance*(cos(Angle at which Stirrup is Inclined)+sin(Angle at which Stirrup is Inclined)))

Vertical Stirrup Leg Area when Single Bar is Bent at Angle a

Go Stirrup Area = Excess Shear given Vertical Stirrup Leg Area/(Allowable Stress in Stirrup Steel*sin(Angle at which Stirrup is Inclined))

Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a

Go Excess Shear given Vertical Stirrup Leg Area = Stirrup Area*Allowable Stress in Stirrup Steel*sin(Angle at which Stirrup is Inclined)

Distance from Extreme Compression to Centroid given Area in Legs of Vertical Stirrup

Go Compression to Centroid Reinforcement Distance = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Stirrup Area)

Allowable Stress in Stirrup Steel given Area in Legs of Vertical Stirrup

Go Allowable Stress in Stirrup Steel = (Excess Shear*Stirrup Spacing)/(Stirrup Area*Compression to Centroid Reinforcement Distance)

Excess Shear given Area in Legs of Vertical Stirrup

Go Excess Shear = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)/(Stirrup Spacing)

Area Required in Legs of Vertical Stirrup

Go Stirrup Area = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)

Stirrups Spacing using Area in Legs of Vertical Stirrup

Go Stirrup Spacing = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)/Excess Shear

Distance from Extreme Compression to Centroid given Nominal Unit Shear Stress

Go Compression to Centroid Reinforcement Distance = Total Shear/(Beam Width for Nominal Shear*Nominal Shear Stress)

Nominal Unit Shear Stress

Go Nominal Shear Stress = Total Shear/(Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance)

Shear given Nominal Unit Shear Stress

Go Total Shear = Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance*Nominal Shear Stress

Nominal Unit Shear Stress Formula

Nominal Shear Stress = Total Shear/(Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance)
V_n = V/(b_ns*d')

What is Shear Stress?

Shear stress is a force that tends to cause the deformation of a material by slippage along a plane or planes parallel to the imposed stress.

What is Nominal Unit Shear Stress?

The nominal unit shear stress is the stress which is provided by concrete where the diagonal cracking results from high principle tensile stress in the web.

How to Calculate Nominal Unit Shear Stress?

Nominal Unit Shear Stress calculator uses Nominal Shear Stress = Total Shear/(Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance) to calculate the Nominal Shear Stress, The Nominal Unit Shear Stress formula is defined as the stress which is provided by concrete where diagonal cracking results from high principal tensile stress in the web. Nominal Shear Stress is denoted by V_n symbol.

How to calculate Nominal Unit Shear Stress using this online calculator? To use this online calculator for Nominal Unit Shear Stress, enter Total Shear (V), Beam Width for Nominal Shear (b_ns) & Compression to Centroid Reinforcement Distance (d') and hit the calculate button. Here is how the Nominal Unit Shear Stress calculation can be explained with given input values -> 2E-5 = 3000/(0.015*0.0101).

FAQ

What is Nominal Unit Shear Stress?

The Nominal Unit Shear Stress formula is defined as the stress which is provided by concrete where diagonal cracking results from high principal tensile stress in the web and is represented as V_n = V/(b_ns*d') or Nominal Shear Stress = Total Shear/(Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance). Total Shear is defined as the total shear force acting on the body, Beam Width for Nominal Shear is the shortest/least measurement of the beam & Compression to Centroid Reinforcement Distance is the distance from extreme compression surface to the centroid of compression reinforcement.

How to calculate Nominal Unit Shear Stress?

The Nominal Unit Shear Stress formula is defined as the stress which is provided by concrete where diagonal cracking results from high principal tensile stress in the web is calculated using Nominal Shear Stress = Total Shear/(Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance). To calculate Nominal Unit Shear Stress, you need Total Shear (V), Beam Width for Nominal Shear (b_ns) & Compression to Centroid Reinforcement Distance (d'). With our tool, you need to enter the respective value for Total Shear, Beam Width for Nominal Shear & Compression to Centroid Reinforcement Distance 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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