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Excess Shear given Area in Legs of Vertical Stirrup Formula

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Excess shear is a measure that can be evaluated numerically and that, in principle, can be used in an assessment of the possible magnitude and relative likelihood of seismic activity. Check FAQs

V' = \frac{A v \cdot f v \cdot d'}{s}

V' - Excess Shear?A_v - Stirrup Area?f_v - Allowable Stress in Stirrup Steel?d' - Compression to Centroid Reinforcement Distance?s - Stirrup Spacing?

Excess Shear given Area in Legs of Vertical Stirrup Example

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Here is how the Excess Shear given Area in Legs of Vertical Stirrup equation looks like with Values.

Here is how the Excess Shear given Area in Legs of Vertical Stirrup equation looks like with Units.

Here is how the Excess Shear given Area in Legs of Vertical Stirrup equation looks like.

3527.9441 = \frac{500 \cdot 35 \cdot 10.1}{50.1}

3527.9441N/m² = \frac{500mm² \cdot 35MPa \cdot 10.1mm}{50.1mm}

3527.9441 = \frac{500 \cdot 35 \cdot 10.1}{50.1}

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Excess Shear given Area in Legs of Vertical Stirrup Solution

Follow our step by step solution on how to calculate Excess Shear given Area in Legs of Vertical Stirrup?

FIRST Step Consider the formula

V' = \frac{A v \cdot f v \cdot d'}{s}

Next Step Substitute values of Variables

∴

V' = \frac{500mm² \cdot 35MPa \cdot 10.1mm}{50.1mm}

Next Step Convert Units

∴

V' = \frac{0.0005m² \cdot 3.5E+7Pa \cdot 0.0101m}{0.0501m}

Next Step Prepare to Evaluate

∴

V' = \frac{0.0005 \cdot 3.5E+7 \cdot 0.0101}{0.0501}

Next Step Evaluate

∴

V' = 3527.94411177645Pa

Next Step Convert to Output's Unit

∴

V' = 3527.94411177645N/m²

LAST Step Rounding Answer

∴

V' = 3527.9441N/m²

Excess Shear given Area in Legs of Vertical Stirrup Formula Elements

Variables

Excess Shear

Excess shear is a measure that can be evaluated numerically and that, in principle, can be used in an assessment of the possible magnitude and relative likelihood of seismic activity.

Symbol: V'

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Excess Shear

Stirrup Area

Stirrup Area is the total cross-sectional area of the stirrup bars used.

Symbol: A_v

Measurement: AreaUnit: mm²

Note: Value can be positive or negative.

Formulas to find Stirrup Area

Allowable Stress in Stirrup Steel

Allowable stress in stirrup steel is 55% of those for ultimate strength design.

Symbol: f_v

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Allowable Stress in Stirrup Steel

Compression to Centroid Reinforcement Distance

Compression to Centroid Reinforcement Distance is the distance from extreme compression surface to the centroid of compression reinforcement.

Symbol: d'

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Compression to Centroid Reinforcement Distance

Stirrup Spacing

Stirrup Spacing is the approximate minimum spacing between two bars in a section.

Symbol: s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Stirrup Spacing

Other formulas in Allowable Shear category

Go Nominal Unit Shear Stress

V n = \frac{V}{b ns \cdot d'}

Go Shear given Nominal Unit Shear Stress

V = b ns \cdot d' \cdot V n

Go Distance from Extreme Compression to Centroid given Nominal Unit Shear Stress

d' = \frac{V}{b ns \cdot V n}

Go Area Required in Legs of Vertical Stirrup

A v = \frac{V' \cdot s}{f v \cdot d'}

How to Evaluate Excess Shear given Area in Legs of Vertical Stirrup?

Excess Shear given Area in Legs of Vertical Stirrup evaluator uses Excess Shear = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)/(Stirrup Spacing) to evaluate the Excess Shear, The Excess Shear given Area in Legs of Vertical Stirrup formula is defined as the shear which is present in excess. It can also be calculated by V'= V - vcbd. Excess Shear is denoted by V' symbol.

How to evaluate Excess Shear given Area in Legs of Vertical Stirrup using this online evaluator? To use this online evaluator for Excess Shear given Area in Legs of Vertical Stirrup, enter Stirrup Area (A_v), Allowable Stress in Stirrup Steel (f_v), Compression to Centroid Reinforcement Distance (d') & Stirrup Spacing (s) and hit the calculate button.

FAQs on Excess Shear given Area in Legs of Vertical Stirrup

What is the formula to find Excess Shear given Area in Legs of Vertical Stirrup?

The formula of Excess Shear given Area in Legs of Vertical Stirrup is expressed as Excess Shear = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)/(Stirrup Spacing). Here is an example- 3493.014 = (0.0005*35000000*0.0101)/(0.0501).

How to calculate Excess Shear given Area in Legs of Vertical Stirrup?

With Stirrup Area (A_v), Allowable Stress in Stirrup Steel (f_v), Compression to Centroid Reinforcement Distance (d') & Stirrup Spacing (s) we can find Excess Shear given Area in Legs of Vertical Stirrup using the formula - Excess Shear = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)/(Stirrup Spacing).

Can the Excess Shear given Area in Legs of Vertical Stirrup be negative?

No, the Excess Shear given Area in Legs of Vertical Stirrup, measured in Pressure cannot be negative.

Which unit is used to measure Excess Shear given Area in Legs of Vertical Stirrup?

Excess Shear given Area in Legs of Vertical Stirrup is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Excess Shear given Area in Legs of Vertical Stirrup can be measured.

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Excess Shear given Area in Legs of Vertical Stirrup Formula

Excess Shear given Area in Legs of Vertical Stirrup Example

Excess Shear given Area in Legs of Vertical Stirrup Solution

Excess Shear given Area in Legs of Vertical Stirrup Formula Elements

Other formulas in Allowable Shear category

How to Evaluate Excess Shear given Area in Legs of Vertical Stirrup?

FAQs on Excess Shear given Area in Legs of Vertical Stirrup

Variable Name