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Vertical Stirrup Leg Area when Single Bar is Bent at Angle a Formula

GoArea Required in Legs of Vertical Stirrup Formula

GoVertical Stirrup Leg Area when Group of Bars is Bent at Different Distances Formula

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

A v = \frac{V' vsl}{f v \cdot \sin (α)}

A_v - Stirrup Area?V'_vsl - Excess Shear given Vertical Stirrup Leg Area?f_v - Allowable Stress in Stirrup Steel?α - Angle at which Stirrup is Inclined?

Vertical Stirrup Leg Area when Single Bar is Bent at Angle a Example

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Here is how the Vertical Stirrup Leg Area when Single Bar is Bent at Angle a equation looks like with Values.

Here is how the Vertical Stirrup Leg Area when Single Bar is Bent at Angle a equation looks like with Units.

Here is how the Vertical Stirrup Leg Area when Single Bar is Bent at Angle a equation looks like.

500 = \frac{8750}{35 \cdot \sin (30)}

500mm² = \frac{8750N/m²}{35MPa \cdot \sin (30°)}

500 = \frac{8750}{35 \cdot \sin (30)}

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Vertical Stirrup Leg Area when Single Bar is Bent at Angle a Solution

Follow our step by step solution on how to calculate Vertical Stirrup Leg Area when Single Bar is Bent at Angle a?

FIRST Step Consider the formula

A v = \frac{V' vsl}{f v \cdot \sin (α)}

Next Step Substitute values of Variables

∴

A v = \frac{8750N/m²}{35MPa \cdot \sin (30°)}

Next Step Convert Units

∴

A v = \frac{8750Pa}{3.5E+7Pa \cdot \sin (0.5236rad)}

Next Step Prepare to Evaluate

∴

A v = \frac{8750}{3.5E+7 \cdot \sin (0.5236)}

Next Step Evaluate

∴

A v = 0.0005m²

LAST Step Convert to Output's Unit

∴

A v = 500mm²

Vertical Stirrup Leg Area when Single Bar is Bent at Angle a 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

Excess Shear given Vertical Stirrup Leg Area

Excess shear given Vertical Stirrup Leg Area is a measure that can be evaluated numerically and can be used in an assessment of the possible magnitude and relative likelihood of seismic activity.

Symbol: V'_vsl

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Excess Shear given Vertical Stirrup Leg 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

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 Area Required in Legs of Vertical Stirrup

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

Go Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances

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

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 Excess Shear given Area in Legs of Vertical Stirrup

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

How to Evaluate Vertical Stirrup Leg Area when Single Bar is Bent at Angle a?

Vertical Stirrup Leg Area when Single Bar is Bent at Angle a evaluator uses Stirrup Area = Excess Shear given Vertical Stirrup Leg Area/(Allowable Stress in Stirrup Steel*sin(Angle at which Stirrup is Inclined)) to evaluate the Stirrup Area, The Vertical Stirrup Leg Area when Single Bar is Bent at Angle a formula is defined as it is used to calculate the area of the vertical stirrup since they are used to counteract the shear applied in the structural member. Stirrup Area is denoted by A_v symbol.

How to evaluate Vertical Stirrup Leg Area when Single Bar is Bent at Angle a using this online evaluator? To use this online evaluator for Vertical Stirrup Leg Area when Single Bar is Bent at Angle a, enter Excess Shear given Vertical Stirrup Leg Area (V'_vsl), Allowable Stress in Stirrup Steel (f_v) & Angle at which Stirrup is Inclined (α) and hit the calculate button.

FAQs on Vertical Stirrup Leg Area when Single Bar is Bent at Angle a

What is the formula to find Vertical Stirrup Leg Area when Single Bar is Bent at Angle a?

The formula of Vertical Stirrup Leg Area when Single Bar is Bent at Angle a is expressed as Stirrup Area = Excess Shear given Vertical Stirrup Leg Area/(Allowable Stress in Stirrup Steel*sin(Angle at which Stirrup is Inclined)). Here is an example- 5E+8 = 8750/(35000000*sin(0.5235987755982)).

How to calculate Vertical Stirrup Leg Area when Single Bar is Bent at Angle a?

With Excess Shear given Vertical Stirrup Leg Area (V'_vsl), Allowable Stress in Stirrup Steel (f_v) & Angle at which Stirrup is Inclined (α) we can find Vertical Stirrup Leg Area when Single Bar is Bent at Angle a using the formula - Stirrup Area = Excess Shear given Vertical Stirrup Leg Area/(Allowable Stress in Stirrup Steel*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=(Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)
Stirrup Area=(Excess Shear given Stirrup Leg Area for Bars Bent*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance*(cos(Angle at which Stirrup is Inclined)+sin(Angle at which Stirrup is Inclined)))

Can the Vertical Stirrup Leg Area when Single Bar is Bent at Angle a be negative?

Yes, the Vertical Stirrup Leg Area when Single Bar is Bent at Angle a, measured in Area can be negative.

Which unit is used to measure Vertical Stirrup Leg Area when Single Bar is Bent at Angle a?

Vertical Stirrup Leg Area when Single Bar is Bent at Angle a 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 Vertical Stirrup Leg Area when Single Bar is Bent at Angle a can be measured.

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Vertical Stirrup Leg Area when Single Bar is Bent at Angle a Formula

​GoArea Required in Legs of Vertical Stirrup Formula

​GoVertical Stirrup Leg Area when Group of Bars is Bent at Different Distances Formula

Vertical Stirrup Leg Area when Single Bar is Bent at Angle a Example

Vertical Stirrup Leg Area when Single Bar is Bent at Angle a Solution

Vertical Stirrup Leg Area when Single Bar is Bent at Angle a Formula Elements

Other Formulas to find Stirrup Area

Other formulas in Allowable Shear category

How to Evaluate Vertical Stirrup Leg Area when Single Bar is Bent at Angle a?

FAQs on Vertical Stirrup Leg Area when Single Bar is Bent at Angle a

Variable Name

GoArea Required in Legs of Vertical Stirrup Formula

GoVertical Stirrup Leg Area when Group of Bars is Bent at Different Distances Formula