Wall Overall Thickness given 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%
✖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]			+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%

✖Overall Thickness of Wall is the wall thickness in millimeters.ⓘ Wall Overall Thickness given Nominal Shear Stress [h]

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Formula

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Wall Overall Thickness given Nominal Shear Stress

Formula

`"h" = "V"/("φ"*"v"_{"u"}*"d")`

Example

`"200.08mm"="500.00N"/("0.85"*"1176N/m²"*"2500mm")`

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Wall Overall Thickness given Nominal Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Overall Thickness of Wall - (Measured in Meter) - Overall Thickness of Wall is the wall thickness in millimeters.
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.
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.
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
Nominal Shear Stress: 1176 Newton per Square Meter --> 1176 Pascal (Check conversion here)
Design Horizontal Length: 2500 Millimeter --> 2.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = V/(φ*v_u*d) --> 500/(0.85*1176*2.5)

Evaluating ... ...

h = 0.200080032012805

STEP 3: Convert Result to Output's Unit

0.200080032012805 Meter -->200.080032012805 Millimeter (Check conversion here)

FINAL ANSWER

200.080032012805 ≈ 200.08 Millimeter <-- Overall Thickness of Wall

(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 » Wall Overall Thickness given Nominal Shear Stress

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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))

Wall Overall Thickness given Nominal Shear Stress Formula

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

What is Capacity Reduction Factor?

The capacity reduction factor is a safety factor to account for uncertainties in material strength and material dimension.

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.

How to Calculate Wall Overall Thickness given Nominal Shear Stress?

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

How to calculate Wall Overall Thickness given Nominal Shear Stress using this online calculator? To use this online calculator for Wall Overall Thickness given Nominal Shear Stress, enter Total Shear (V), Capacity Reduction Factor (φ), Nominal Shear Stress (v_u) & Design Horizontal Length (d) and hit the calculate button. Here is how the Wall Overall Thickness given Nominal Shear Stress calculation can be explained with given input values -> 200080 = 500/(0.85*1176*2.5).

FAQ

What is Wall Overall Thickness given Nominal Shear Stress?

The Wall Overall Thickness given Nominal Shear Stress formula is defined as using the values of nominal shear stress, total design shear force, the horizontal length of the wall and capacity reduction factor to find the overall thickness of the wall and is represented as h = V/(φ*v_u*d) or Overall Thickness of Wall = Total Shear/(Capacity Reduction Factor*Nominal Shear Stress*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, 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 & Design Horizontal Length of wall is 0.8 times the horizontal length of the wall denoted by 'd'.

How to calculate Wall Overall Thickness given Nominal Shear Stress?

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