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Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances Formula

GoStirrups Spacing using Area in Legs of Vertical Stirrup 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' \cdot (\sin (α) + \cos (α))}{V' LAB}

s - Stirrup Spacing?A_v - Stirrup Area?f_v - Allowable Stress in Stirrup Steel?d' - Compression to Centroid Reinforcement Distance?α - Angle at which Stirrup is Inclined?V'_LAB - Excess Shear given Stirrup Leg Area for Bars Bent?

Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances Example

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Here is how the Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances equation looks like with Values.

Here is how the Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances equation looks like with Units.

Here is how the Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances equation looks like.

50.4587 = \frac{500 \cdot 35 \cdot 10.1 \cdot (\sin (30) + \cos (30))}{4785}

50.4587mm = \frac{500mm² \cdot 35MPa \cdot 10.1mm \cdot (\sin (30°) + \cos (30°))}{4785N/m²}

50.4587 = \frac{500 \cdot 35 \cdot 10.1 \cdot (\sin (30) + \cos (30))}{4785}

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Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances Solution

Follow our step by step solution on how to calculate Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

s = \frac{500mm² \cdot 35MPa \cdot 10.1mm \cdot (\sin (30°) + \cos (30°))}{4785N/m²}

Next Step Convert Units

∴

s = \frac{0.0005m² \cdot 3.5E+7Pa \cdot 0.0101m \cdot (\sin (0.5236rad) + \cos (0.5236rad))}{4785Pa}

Next Step Prepare to Evaluate

∴

s = \frac{0.0005 \cdot 3.5E+7 \cdot 0.0101 \cdot (\sin (0.5236) + \cos (0.5236))}{4785}

Next Step Evaluate

∴

s = 0.0504587231178473m

Next Step Convert to Output's Unit

∴

s = 50.4587231178473mm

LAST Step Rounding Answer

∴

s = 50.4587mm

Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances Formula Elements

Variables

Functions

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

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

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

Excess Shear given Stirrup Leg Area for Bars Bent

Excess Shear given Stirrup Leg Area for Bars Bent 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'_LAB

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Excess Shear given Stirrup Leg Area for Bars Bent

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)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Stirrup Spacing

Go Stirrups Spacing using Area in Legs of Vertical Stirrup

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

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 Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances?

Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances evaluator uses Stirrup Spacing = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance*(sin(Angle at which Stirrup is Inclined)+cos(Angle at which Stirrup is Inclined)))/(Excess Shear given Stirrup Leg Area for Bars Bent) to evaluate the Stirrup Spacing, The Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances formula is defined as the distance between the two bars. The minimum spacing between two bars can be taken as approximately 50-75 mm. Stirrup Spacing is denoted by s symbol.

How to evaluate Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances using this online evaluator? To use this online evaluator for Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances, enter Stirrup Area (A_v), Allowable Stress in Stirrup Steel (f_v), Compression to Centroid Reinforcement Distance (d'), Angle at which Stirrup is Inclined (α) & Excess Shear given Stirrup Leg Area for Bars Bent (V'_LAB) and hit the calculate button.

FAQs on Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances

What is the formula to find Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances?

The formula of Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances is expressed as Stirrup Spacing = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance*(sin(Angle at which Stirrup is Inclined)+cos(Angle at which Stirrup is Inclined)))/(Excess Shear given Stirrup Leg Area for Bars Bent). Here is an example- 49959.13 = (0.0005*35000000*0.0101*(sin(0.5235987755982)+cos(0.5235987755982)))/(4785).

How to calculate Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances?

With Stirrup Area (A_v), Allowable Stress in Stirrup Steel (f_v), Compression to Centroid Reinforcement Distance (d'), Angle at which Stirrup is Inclined (α) & Excess Shear given Stirrup Leg Area for Bars Bent (V'_LAB) we can find Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances using the formula - Stirrup Spacing = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance*(sin(Angle at which Stirrup is Inclined)+cos(Angle at which Stirrup is Inclined)))/(Excess Shear given Stirrup Leg Area for Bars Bent). This formula also uses Sine (sin), Cosine (cos) function(s).

What are the other ways to Calculate Stirrup Spacing?

Here are the different ways to Calculate Stirrup Spacing-

Stirrup Spacing=(Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)/Excess Shear

Can the Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances be negative?

No, the Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances, measured in Length cannot be negative.

Which unit is used to measure Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances?

Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances 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 Stirrup Leg Area for Group of Bars Bent up Different Distances can be measured.

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Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances Formula

​GoStirrups Spacing using Area in Legs of Vertical Stirrup Formula

Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances Example

Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances Solution

Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances Formula Elements

Other Formulas to find Stirrup Spacing

Other formulas in Allowable Shear category

How to Evaluate Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances?

FAQs on Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances

Variable Name

GoStirrups Spacing using Area in Legs of Vertical Stirrup Formula