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Stirrups Spacing given Cross-Sectional Area of Web Reinforcement Formula

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

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

s - Stirrup Spacing?A_v - Cross-Sectional Area of Web Reinforcement?f_v - Allowable Unit Stress in Web Reinforcement?d - Effective Depth of Beam?V - Total Shear?V' - Shear that Concrete should carry?

Stirrups Spacing given Cross-Sectional Area of Web Reinforcement Example

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Here is how the Stirrups Spacing given Cross-Sectional Area of Web Reinforcement equation looks like with Values.

Here is how the Stirrups Spacing given Cross-Sectional Area of Web Reinforcement equation looks like with Units.

Here is how the Stirrups Spacing given Cross-Sectional Area of Web Reinforcement equation looks like.

50.0004 = \frac{8772 \cdot 100 \cdot 285}{500 - 495}

50.0004mm = \frac{8772mm² \cdot 100MPa \cdot 285mm}{500N - 495N}

50.0004 = \frac{8772 \cdot 100 \cdot 285}{500 - 495}

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Stirrups Spacing given Cross-Sectional Area of Web Reinforcement Solution

Follow our step by step solution on how to calculate Stirrups Spacing given Cross-Sectional Area of Web Reinforcement?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

s = \frac{8772mm² \cdot 100MPa \cdot 285mm}{500N - 495N}

Next Step Convert Units

∴

s = \frac{0.0088m² \cdot 100MPa \cdot 0.285m}{500N - 495N}

Next Step Prepare to Evaluate

∴

s = \frac{0.0088 \cdot 100 \cdot 0.285}{500 - 495}

Next Step Evaluate

∴

s = 0.0500004m

LAST Step Convert to Output's Unit

∴

s = 50.0004mm

Stirrups Spacing given Cross-Sectional Area of Web Reinforcement Formula Elements

Variables

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

Cross-Sectional Area of Web Reinforcement

The cross-sectional area of web reinforcement in distance s measured parallel to longitudinal reinforcement.

Symbol: A_v

Measurement: AreaUnit: mm²

Note: Value can be positive or negative.

Formulas to find Cross-Sectional Area of Web Reinforcement

Allowable Unit Stress in Web Reinforcement

Allowable Unit Stress in Web Reinforcement is defined as total force acting to the unit area of the reinforcement.

Symbol: f_v

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Allowable Unit Stress in Web Reinforcement

Effective Depth of Beam

The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Depth of Beam

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

Shear that Concrete should carry

The shear that concrete should carry alone.

Symbol: V'

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Shear that Concrete should carry

Other formulas in Shear and Diagonal Tension in Beams category

Go Width of Beam given Shearing Unit Stress in Reinforced Concrete Beam

b = \frac{V}{d \cdot v}

Go Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam

d = \frac{V}{b \cdot v}

Go Total Shear given Cross-Sectional Area of Web Reinforcement

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

Go Shear Carried by Concrete given Cross-Sectional Area of Web Reinforcement

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

How to Evaluate Stirrups Spacing given Cross-Sectional Area of Web Reinforcement?

Stirrups Spacing given Cross-Sectional Area of Web Reinforcement evaluator uses Stirrup Spacing = (Cross-Sectional Area of Web Reinforcement*Allowable Unit Stress in Web Reinforcement*Effective Depth of Beam)/(Total Shear-Shear that Concrete should carry) to evaluate the Stirrup Spacing, The Stirrups Spacing given Cross-Sectional Area of Web Reinforcement formula is defined as the distance between consecutive stirrups in a beam. The aim of the structure engineer is to provide the spacing between the stirrups in the best possible and economical way. Stirrup Spacing is denoted by s symbol.

How to evaluate Stirrups Spacing given Cross-Sectional Area of Web Reinforcement using this online evaluator? To use this online evaluator for Stirrups Spacing given Cross-Sectional Area of Web Reinforcement, enter Cross-Sectional Area of Web Reinforcement (A_v), Allowable Unit Stress in Web Reinforcement (f_v), Effective Depth of Beam (d), Total Shear (V) & Shear that Concrete should carry (V') and hit the calculate button.

FAQs on Stirrups Spacing given Cross-Sectional Area of Web Reinforcement

What is the formula to find Stirrups Spacing given Cross-Sectional Area of Web Reinforcement?

The formula of Stirrups Spacing given Cross-Sectional Area of Web Reinforcement is expressed as Stirrup Spacing = (Cross-Sectional Area of Web Reinforcement*Allowable Unit Stress in Web Reinforcement*Effective Depth of Beam)/(Total Shear-Shear that Concrete should carry). Here is an example- 50000.4 = (0.008772*100000000*0.285)/(500-495).

How to calculate Stirrups Spacing given Cross-Sectional Area of Web Reinforcement?

With Cross-Sectional Area of Web Reinforcement (A_v), Allowable Unit Stress in Web Reinforcement (f_v), Effective Depth of Beam (d), Total Shear (V) & Shear that Concrete should carry (V') we can find Stirrups Spacing given Cross-Sectional Area of Web Reinforcement using the formula - Stirrup Spacing = (Cross-Sectional Area of Web Reinforcement*Allowable Unit Stress in Web Reinforcement*Effective Depth of Beam)/(Total Shear-Shear that Concrete should carry).

Can the Stirrups Spacing given Cross-Sectional Area of Web Reinforcement be negative?

No, the Stirrups Spacing given Cross-Sectional Area of Web Reinforcement, measured in Length cannot be negative.

Which unit is used to measure Stirrups Spacing given Cross-Sectional Area of Web Reinforcement?

Stirrups Spacing given Cross-Sectional Area of Web Reinforcement is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Stirrups Spacing given Cross-Sectional Area of Web Reinforcement can be measured.

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Stirrups Spacing given Cross-Sectional Area of Web Reinforcement Formula

Stirrups Spacing given Cross-Sectional Area of Web Reinforcement Example

Stirrups Spacing given Cross-Sectional Area of Web Reinforcement Solution

Stirrups Spacing given Cross-Sectional Area of Web Reinforcement Formula Elements

Other formulas in Shear and Diagonal Tension in Beams category

How to Evaluate Stirrups Spacing given Cross-Sectional Area of Web Reinforcement?

FAQs on Stirrups Spacing given Cross-Sectional Area of Web Reinforcement

Variable Name