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Total Shear given Cross-Sectional Area of Web Reinforcement Formula

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

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

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

Total Shear given Cross-Sectional Area of Web Reinforcement Example

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

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

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

499.9901 = (\frac{8772 \cdot 100 \cdot 285}{50.1}) + 495

499.9901N = (\frac{8772mm² \cdot 100MPa \cdot 285mm}{50.1mm}) + 495N

499.9901 = (\frac{8772 \cdot 100 \cdot 285}{50.1}) + 495

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Total Shear given Cross-Sectional Area of Web Reinforcement Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (\frac{8772mm² \cdot 100MPa \cdot 285mm}{50.1mm}) + 495N

Next Step Convert Units

∴

V = (\frac{0.0088m² \cdot 100MPa \cdot 0.285m}{0.0501m}) + 495N

Next Step Prepare to Evaluate

∴

V = (\frac{0.0088 \cdot 100 \cdot 0.285}{0.0501}) + 495

Next Step Evaluate

∴

V = 499.99005988024N

LAST Step Rounding Answer

∴

V = 499.9901N

Total Shear given Cross-Sectional Area of Web Reinforcement 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

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

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

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

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

Go Effective Depth given Cross-Sectional Area of Web Reinforcement

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

How to Evaluate Total Shear given Cross-Sectional Area of Web Reinforcement?

Total Shear given Cross-Sectional Area of Web Reinforcement evaluator uses Total Shear = ((Cross-Sectional Area of Web Reinforcement*Allowable Unit Stress in Web Reinforcement*Effective Depth of Beam)/Stirrup Spacing)+Shear that Concrete should carry to evaluate the Total Shear, The Total Shear given Cross-Sectional Area of Web Reinforcement formula is defined as the total amount of shear forcing acting on the web Reinforcement. Total Shear is denoted by V symbol.

How to evaluate Total Shear given Cross-Sectional Area of Web Reinforcement using this online evaluator? To use this online evaluator for Total Shear 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), Stirrup Spacing (s) & Shear that Concrete should carry (V') and hit the calculate button.

FAQs on Total Shear given Cross-Sectional Area of Web Reinforcement

What is the formula to find Total Shear given Cross-Sectional Area of Web Reinforcement?

The formula of Total Shear given Cross-Sectional Area of Web Reinforcement is expressed as Total Shear = ((Cross-Sectional Area of Web Reinforcement*Allowable Unit Stress in Web Reinforcement*Effective Depth of Beam)/Stirrup Spacing)+Shear that Concrete should carry. Here is an example- 499.9901 = ((0.008772*100000000*0.285)/0.0501)+495.

How to calculate Total Shear 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), Stirrup Spacing (s) & Shear that Concrete should carry (V') we can find Total Shear given Cross-Sectional Area of Web Reinforcement using the formula - Total Shear = ((Cross-Sectional Area of Web Reinforcement*Allowable Unit Stress in Web Reinforcement*Effective Depth of Beam)/Stirrup Spacing)+Shear that Concrete should carry.

Can the Total Shear given Cross-Sectional Area of Web Reinforcement be negative?

Yes, the Total Shear given Cross-Sectional Area of Web Reinforcement, measured in Force can be negative.

Which unit is used to measure Total Shear given Cross-Sectional Area of Web Reinforcement?

Total Shear given Cross-Sectional Area of Web Reinforcement is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Total Shear given Cross-Sectional Area of Web Reinforcement can be measured.

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Total Shear given Cross-Sectional Area of Web Reinforcement Formula

Total Shear given Cross-Sectional Area of Web Reinforcement Example

Total Shear given Cross-Sectional Area of Web Reinforcement Solution

Total Shear given Cross-Sectional Area of Web Reinforcement Formula Elements

Other formulas in Shear and Diagonal Tension in Beams category

How to Evaluate Total Shear given Cross-Sectional Area of Web Reinforcement?

FAQs on Total Shear given Cross-Sectional Area of Web Reinforcement

Variable Name