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Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a Formula

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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. Check FAQs

V' vsl = A v \cdot f v \cdot \sin (α)

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

Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a Example

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

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

Here is how the Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a equation looks like.

8750 = 500 \cdot 35 \cdot \sin (30)

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

8750 = 500 \cdot 35 \cdot \sin (30)

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Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a Solution

Follow our step by step solution on how to calculate Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a?

FIRST Step Consider the formula

V' vsl = A v \cdot f v \cdot \sin (α)

Next Step Substitute values of Variables

∴

V' vsl = 500mm² \cdot 35MPa \cdot \sin (30°)

Next Step Convert Units

∴

V' vsl = 0.0005m² \cdot 3.5E+7Pa \cdot \sin (0.5236rad)

Next Step Prepare to Evaluate

∴

V' vsl = 0.0005 \cdot 3.5E+7 \cdot \sin (0.5236)

Next Step Evaluate

∴

V' vsl = 8750Pa

LAST Step Convert to Output's Unit

∴

V' vsl = 8750N/m²

Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a Formula Elements

Variables

Functions

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

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

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 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 Vertical Stirrup Leg Area for Single Bar Bent at Angle a?

Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a evaluator uses Excess Shear given Vertical Stirrup Leg Area = Stirrup Area*Allowable Stress in Stirrup Steel*sin(Angle at which Stirrup is Inclined) to evaluate the Excess Shear given Vertical Stirrup Leg Area, The Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a formula is defined as it is used to calculate the excess shear (V'= V - Vcbd) which is resisted by stirrups and bent-up bars. Excess Shear given Vertical Stirrup Leg Area is denoted by V'_vsl symbol.

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

FAQs on Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a

What is the formula to find Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a?

The formula of Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a is expressed as Excess Shear given Vertical Stirrup Leg Area = Stirrup Area*Allowable Stress in Stirrup Steel*sin(Angle at which Stirrup is Inclined). Here is an example- 8750 = 0.0005*35000000*sin(0.5235987755982).

How to calculate Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a?

With Stirrup Area (A_v), Allowable Stress in Stirrup Steel (f_v) & Angle at which Stirrup is Inclined (α) we can find Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a using the formula - Excess Shear given Vertical Stirrup Leg Area = Stirrup Area*Allowable Stress in Stirrup Steel*sin(Angle at which Stirrup is Inclined). This formula also uses Sine (sin) function(s).

Can the Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a be negative?

No, the Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a, measured in Pressure cannot be negative.

Which unit is used to measure Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a?

Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a 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 Vertical Stirrup Leg Area for Single Bar Bent at Angle a can be measured.

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Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a Formula

Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a Example

Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a Solution

Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a Formula Elements

Other formulas in Allowable Shear category

How to Evaluate Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a?

FAQs on Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a

Variable Name