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*vu*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*vu*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)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Verified by Alithea Fernandes
Don Bosco College of Engineering (DBCE), Goa
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Shear Walls Calculators

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

Wall Overall Thickness given Nominal Shear Stress Formula

​LaTeX ​Go
Overall Thickness of Wall = Total Shear/(Capacity Reduction Factor*Nominal Shear Stress*Design Horizontal Length)
h = V/(φ*vu*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 (vu) & 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*vu*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 (vu) & 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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