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Stirrup Area given Support Angle Formula

GoStirrup Area given Stirrup Spacing in Practical Design Formula

GoStirrups area for Inclined Stirrups Formula

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

A v = \frac{Vs}{f y} \cdot \sin (α)

A_v - Stirrup Area?Vs - Strength of Shear Reinforcement?f_y - Yield Strength of Reinforcement?α - Angle at which Stirrup is inclined?

Stirrup Area given Support Angle Example

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With units

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Here is how the Stirrup Area given Support Angle equation looks like with Values.

Here is how the Stirrup Area given Support Angle equation looks like with Units.

Here is how the Stirrup Area given Support Angle equation looks like.

10010.01 = \frac{200}{9.99} \cdot \sin (30)

10010.01mm² = \frac{200kN}{9.99MPa} \cdot \sin (30°)

10010.01 = \frac{200}{9.99} \cdot \sin (30)

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Stirrup Area given Support Angle Solution

Follow our step by step solution on how to calculate Stirrup Area given Support Angle?

FIRST Step Consider the formula

A v = \frac{Vs}{f y} \cdot \sin (α)

Next Step Substitute values of Variables

∴

A v = \frac{200kN}{9.99MPa} \cdot \sin (30°)

Next Step Convert Units

∴

A v = \frac{200000N}{1E+7Pa} \cdot \sin (0.5236rad)

Next Step Prepare to Evaluate

∴

A v = \frac{200000}{1E+7} \cdot \sin (0.5236)

Next Step Evaluate

∴

A v = 0.01001001001001m²

Next Step Convert to Output's Unit

∴

A v = 10010.01001001mm²

LAST Step Rounding Answer

∴

A v = 10010.01mm²

Stirrup Area given Support Angle Formula Elements

Variables

Functions

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

Strength of Shear Reinforcement

Strength of Shear reinforcements are designed to withstand shear or diagonal stresses acting on the structure.

Symbol: Vs

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Strength of Shear Reinforcement

Yield Strength of Reinforcement

Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs.

Symbol: f_y

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Strength of Reinforcement

Angle at which Stirrup is inclined

Angle at which Stirrup is inclined series constitutes bars that are bent up at different distances from the support or when the stirrup is inclined.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle at which Stirrup is inclined

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Stirrup Area

Go Stirrup Area given Stirrup Spacing in Practical Design

A v = (s) \cdot \frac{Vu - (2 \cdot Φ \cdot \sqrt{f c} \cdot d eff \cdot bw)}{Φ \cdot f y \cdot d eff}

Go Stirrups area for Inclined Stirrups

A v = \frac{Vs \cdot s}{(\sin (α) + \cos (α)) \cdot f y \cdot d eff}

Other formulas in Shear Reinforcement category

Go Ultimate Shear Capacity of Beam Section

V n = (V c + V s)

Go Nominal Shear Strength of Concrete

V c = (1.9 \cdot \sqrt{f c} + ((2500 \cdot ρ w) \cdot (\frac{V u \cdot D centroid}{B M}))) \cdot (b w \cdot D centroid)

Go Nominal Shear Strength Provided by Reinforcement

V s = V n - V c

Go Area of Steel Required in Vertical Stirrups

A s = \frac{V s \cdot s}{fy steel \cdot D centroid}

How to Evaluate Stirrup Area given Support Angle?

Stirrup Area given Support Angle evaluator uses Stirrup Area = (Strength of Shear Reinforcement)/(Yield Strength of Reinforcement)*sin(Angle at which Stirrup is inclined) to evaluate the Stirrup Area, The Stirrup Area given Support Angle is defined as the area required when a single bar or a group of parallel bars are all bent up at the same distance from the support at an angle with the longitudinal axis of the member. Stirrup Area is denoted by A_v symbol.

How to evaluate Stirrup Area given Support Angle using this online evaluator? To use this online evaluator for Stirrup Area given Support Angle, enter Strength of Shear Reinforcement (Vs), Yield Strength of Reinforcement (f_y) & Angle at which Stirrup is inclined (α) and hit the calculate button.

FAQs on Stirrup Area given Support Angle

What is the formula to find Stirrup Area given Support Angle?

The formula of Stirrup Area given Support Angle is expressed as Stirrup Area = (Strength of Shear Reinforcement)/(Yield Strength of Reinforcement)*sin(Angle at which Stirrup is inclined). Here is an example- 1E+10 = (200000)/(9990000)*sin(0.5235987755982).

How to calculate Stirrup Area given Support Angle?

With Strength of Shear Reinforcement (Vs), Yield Strength of Reinforcement (f_y) & Angle at which Stirrup is inclined (α) we can find Stirrup Area given Support Angle using the formula - Stirrup Area = (Strength of Shear Reinforcement)/(Yield Strength of Reinforcement)*sin(Angle at which Stirrup is inclined). This formula also uses Sine function(s).

What are the other ways to Calculate Stirrup Area?

Here are the different ways to Calculate Stirrup Area-

Stirrup Area=(Stirrup Spacing)*(Design of Shear Stress-(2*Capacity Reduction Factor*sqrt(28 Day Compressive Strength of Concrete)*Effective Depth of Beam*Breadth of Web))/(Capacity Reduction Factor*Yield Strength of Reinforcement*Effective Depth of Beam)
Stirrup Area=(Strength of Shear Reinforcement*Stirrup Spacing)/((sin(Angle at which Stirrup is inclined)+cos(Angle at which Stirrup is inclined))*Yield Strength of Reinforcement*Effective Depth of Beam)

Can the Stirrup Area given Support Angle be negative?

Yes, the Stirrup Area given Support Angle, measured in Area can be negative.

Which unit is used to measure Stirrup Area given Support Angle?

Stirrup Area given Support Angle is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Stirrup Area given Support Angle can be measured.

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Stirrup Area given Support Angle Formula

​GoStirrup Area given Stirrup Spacing in Practical Design Formula

​GoStirrups area for Inclined Stirrups Formula

Stirrup Area given Support Angle Example

Stirrup Area given Support Angle Solution

Stirrup Area given Support Angle Formula Elements

Other Formulas to find Stirrup Area

Other formulas in Shear Reinforcement category

How to Evaluate Stirrup Area given Support Angle?

FAQs on Stirrup Area given Support Angle

Variable Name

GoStirrup Area given Stirrup Spacing in Practical Design Formula

GoStirrups area for Inclined Stirrups Formula