FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances Example

With values

With units

Only example

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

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

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

4819.2613 = \frac{500 \cdot 35 \cdot 10.1 \cdot (\sin (30) + \cos (30))}{50.1}

4819.2613N/m² = \frac{500mm² \cdot 35MPa \cdot 10.1mm \cdot (\sin (30°) + \cos (30°))}{50.1mm}

4819.2613 = \frac{500 \cdot 35 \cdot 10.1 \cdot (\sin (30) + \cos (30))}{50.1}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Concrete Formulas » fx Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances

Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V' LAB = \frac{500mm² \cdot 35MPa \cdot 10.1mm \cdot (\sin (30°) + \cos (30°))}{50.1mm}

Next Step Convert Units

∴

V' LAB = \frac{0.0005m² \cdot 3.5E+7Pa \cdot 0.0101m \cdot (\sin (0.5236rad) + \cos (0.5236rad))}{0.0501m}

Next Step Prepare to Evaluate

∴

V' LAB = \frac{0.0005 \cdot 3.5E+7 \cdot 0.0101 \cdot (\sin (0.5236) + \cos (0.5236))}{0.0501}

Next Step Evaluate

∴

V' LAB = 4819.26127981835Pa

Next Step Convert to Output's Unit

∴

V' LAB = 4819.26127981835N/m²

LAST Step Rounding Answer

∴

V' LAB = 4819.2613N/m²

Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances Formula Elements

Variables

Functions

Excess Shear given Stirrup Leg Area for Bars Bent

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

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

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

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 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 Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances?

Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances evaluator uses Excess Shear given Stirrup Leg Area for Bars Bent = (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)))/(Stirrup Spacing) to evaluate the Excess Shear given Stirrup Leg Area for Bars Bent, The Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances formula is defined as the shear which is present in excess. It is also calculated by ( V'= V - vcbd). In order to resist this excess shear, stirrups and bent up bars are used. Excess Shear given Stirrup Leg Area for Bars Bent is denoted by V'_LAB symbol.

How to evaluate Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances using this online evaluator? To use this online evaluator for Excess Shear 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) & Stirrup Spacing (s) and hit the calculate button.

FAQs on Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances

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

The formula of Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances is expressed as Excess Shear given Stirrup Leg Area for Bars Bent = (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)))/(Stirrup Spacing). Here is an example- 4771.546 = (0.0005*35000000*0.0101*(sin(0.5235987755982)+cos(0.5235987755982)))/(0.0501).

How to calculate Excess Shear 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) & Stirrup Spacing (s) we can find Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances using the formula - Excess Shear given Stirrup Leg Area for Bars Bent = (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)))/(Stirrup Spacing). This formula also uses Sine (sin), Cosine (cos) function(s).

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

No, the Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances, measured in Pressure cannot be negative.

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

Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances Formula

Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances Example

Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances Solution

Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances Formula Elements

Other formulas in Allowable Shear category

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

FAQs on Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances

Variable Name