Wall Horizontal Length given Nominal Shear Stress Calculator

✖Total Shear is the total shear force acting on a beam.ⓘ Total Shear [V]			+10% -10%
✖Overall Thickness of Wall is the wall thickness in millimeters.ⓘ Overall Thickness of Wall [h]			+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'.ⓘ Wall Horizontal Length given Nominal Shear Stress [d]

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Wall Horizontal Length given Nominal Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Design Horizontal Length - (Measured in Meter) - Design Horizontal Length of wall is 0.8 times the horizontal length of the wall denoted by 'd'.
Total Shear - (Measured in Newton) - Total Shear is the total shear force acting on a beam.
Overall Thickness of Wall - (Measured in Meter) - Overall Thickness of Wall is the wall thickness in millimeters.
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.

STEP 1: Convert Input(s) to Base Unit

Total Shear: 500 Newton --> 500 Newton No Conversion Required
Overall Thickness of Wall: 200 Millimeter --> 0.2 Meter (Check conversion here)
Capacity Reduction Factor: 0.85 --> No Conversion Required
Nominal Shear Stress: 1176 Newton per Square Meter --> 1176 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = V/(h*φ*v_u) --> 500/(0.2*0.85*1176)

Evaluating ... ...

d = 2.50100040016006

STEP 3: Convert Result to Output's Unit

2.50100040016006 Meter -->2501.00040016006 Millimeter (Check conversion here)

FINAL ANSWER

2501.00040016006 ≈ 2501 Millimeter <-- Design Horizontal Length

(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 Horizontal Length given Nominal Shear Stress

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

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 Horizontal Length given Nominal Shear Stress Formula

LaTeX Go

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

What is Nominal Shear Stress and Design Shear Strength?

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.
The strength of the material considered under the shear failure, when a structure will fail is known as the design shear strength.

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 Wall Horizontal Length given Nominal Shear Stress?

Wall Horizontal Length given Nominal Shear Stress calculator uses Design Horizontal Length = Total Shear/(Overall Thickness of Wall*Capacity Reduction Factor*Nominal Shear Stress) to calculate the Design Horizontal Length, The Wall Horizontal Length given Nominal Shear Stress formula is defined as the total length of the wall in a horizontal direction considering the factors such as total design shear, capacity reduction factor and nominal shear stress. Design Horizontal Length is denoted by d symbol.

How to calculate Wall Horizontal Length given Nominal Shear Stress using this online calculator? To use this online calculator for Wall Horizontal Length given Nominal Shear Stress, enter Total Shear (V), Overall Thickness of Wall (h), Capacity Reduction Factor (φ) & Nominal Shear Stress (v_u) and hit the calculate button. Here is how the Wall Horizontal Length given Nominal Shear Stress calculation can be explained with given input values -> 2.5E+6 = 500/(0.2*0.85*1176).

FAQ

What is Wall Horizontal Length given Nominal Shear Stress?

The Wall Horizontal Length given Nominal Shear Stress formula is defined as the total length of the wall in a horizontal direction considering the factors such as total design shear, capacity reduction factor and nominal shear stress and is represented as d = V/(h*φ*v_u) or Design Horizontal Length = Total Shear/(Overall Thickness of Wall*Capacity Reduction Factor*Nominal Shear Stress). Total Shear is the total shear force acting on a beam, Overall Thickness of Wall is the wall thickness in millimeters, 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.

How to calculate Wall Horizontal Length given Nominal Shear Stress?

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