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Total Design Shear Force given Nominal Shear Stress Formula

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Total Shear is the total shear force acting on a beam. Check FAQs

V = v u \cdot φ \cdot h \cdot d

V - Total Shear?v_u - Nominal Shear Stress?φ - Capacity Reduction Factor?h - Overall Thickness of Wall?d - Design Horizontal Length?

Total Design Shear Force given Nominal Shear Stress Example

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Here is how the Total Design Shear Force given Nominal Shear Stress equation looks like with Values.

Here is how the Total Design Shear Force given Nominal Shear Stress equation looks like with Units.

Here is how the Total Design Shear Force given Nominal Shear Stress equation looks like.

499.8 = 1176 \cdot 0.85 \cdot 200 \cdot 2500

499.8N = 1176N/m² \cdot 0.85 \cdot 200mm \cdot 2500mm

499.8 = 1176 \cdot 0.85 \cdot 200 \cdot 2500

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Total Design Shear Force given Nominal Shear Stress Solution

Follow our step by step solution on how to calculate Total Design Shear Force given Nominal Shear Stress?

FIRST Step Consider the formula

V = v u \cdot φ \cdot h \cdot d

Next Step Substitute values of Variables

∴

V = 1176N/m² \cdot 0.85 \cdot 200mm \cdot 2500mm

Next Step Convert Units

∴

V = 1176Pa \cdot 0.85 \cdot 0.2m \cdot 2.5m

Next Step Prepare to Evaluate

∴

V = 1176 \cdot 0.85 \cdot 0.2 \cdot 2.5

LAST Step Evaluate

∴

V = 499.8N

Total Design Shear Force given Nominal Shear Stress Formula Elements

Variables

Total Shear

Total Shear is the total shear force acting on a beam.

Symbol: V

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Total Shear

Nominal Shear Stress

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.

Symbol: v_u

Measurement: StressUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Nominal Shear Stress

Capacity Reduction Factor

The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength.

Symbol: φ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Capacity Reduction Factor

Overall Thickness of Wall

Overall Thickness of Wall is the wall thickness in millimeters.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Overall Thickness of Wall

Design Horizontal Length

Design Horizontal Length of wall is 0.8 times the horizontal length of the wall denoted by 'd'.

Symbol: d

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Design Horizontal Length

Other formulas in Shear Walls category

Go Nominal Shear Stress

v u = (\frac{V}{φ \cdot h \cdot d})

Go Wall Overall Thickness given Nominal Shear Stress

h = \frac{V}{φ \cdot v u \cdot d}

Go Wall Horizontal Length given Nominal Shear Stress

d = \frac{V}{h \cdot φ \cdot v u}

Go Concrete Strength given Shear Force

f' c = {((\frac{1}{3.3 \cdot d \cdot h}) \cdot (V c + (\frac{N u \cdot d}{4 \cdot l w})))}^{2}

How to Evaluate Total Design Shear Force given Nominal Shear Stress?

Total Design Shear Force given Nominal Shear Stress evaluator uses Total Shear = Nominal Shear Stress*Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length to evaluate the Total Shear, The Total Design Shear Force given Nominal Shear Stress formula is defined as the total shear strength of the structure which it can resist. Total Shear is denoted by V symbol.

How to evaluate Total Design Shear Force given Nominal Shear Stress using this online evaluator? To use this online evaluator for Total Design Shear Force given Nominal Shear Stress, enter Nominal Shear Stress (v_u), Capacity Reduction Factor (φ), Overall Thickness of Wall (h) & Design Horizontal Length (d) and hit the calculate button.

FAQs on Total Design Shear Force given Nominal Shear Stress

What is the formula to find Total Design Shear Force given Nominal Shear Stress?

The formula of Total Design Shear Force given Nominal Shear Stress is expressed as Total Shear = Nominal Shear Stress*Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length. Here is an example- 499.8 = 1176*0.85*0.2*2.5.

How to calculate Total Design Shear Force given Nominal Shear Stress?

With Nominal Shear Stress (v_u), Capacity Reduction Factor (φ), Overall Thickness of Wall (h) & Design Horizontal Length (d) we can find Total Design Shear Force given Nominal Shear Stress using the formula - Total Shear = Nominal Shear Stress*Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length.

Can the Total Design Shear Force given Nominal Shear Stress be negative?

Yes, the Total Design Shear Force given Nominal Shear Stress, measured in Force can be negative.

Which unit is used to measure Total Design Shear Force given Nominal Shear Stress?

Total Design Shear Force given Nominal Shear Stress is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Total Design Shear Force given Nominal Shear Stress can be measured.

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Total Design Shear Force given Nominal Shear Stress Formula

Total Design Shear Force given Nominal Shear Stress Example

Total Design Shear Force given Nominal Shear Stress Solution

Total Design Shear Force given Nominal Shear Stress Formula Elements

Other formulas in Shear Walls category

How to Evaluate Total Design Shear Force given Nominal Shear Stress?

FAQs on Total Design Shear Force given Nominal Shear Stress

Variable Name