FormulaDen.com

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

1

Stirrups area for Inclined Stirrups Formula

2

GoStirrup Area given Stirrup Spacing in Practical Design Formula

3

GoStirrup Area given Support Angle Formula

Fx Copy

LaTeX Copy

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

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

A_v - Stirrup Area?Vs - Strength of Shear Reinforcement?s - Stirrup Spacing?α - Angle at which Stirrup is inclined?f_y - Yield Strength of Reinforcement?d_eff - Effective Depth of Beam?

Stirrups area for Inclined Stirrups Example

With values

With units

Only example

Here is how the Stirrups area for Inclined Stirrups equation looks like with Values.

Here is how the Stirrups area for Inclined Stirrups equation looks like with Units.

Here is how the Stirrups area for Inclined Stirrups equation looks like.

183.5623 = \frac{200 \cdot 50.1}{(\sin (30) + \cos (30)) \cdot 9.99 \cdot 4}

183.5623mm² = \frac{200kN \cdot 50.1mm}{(\sin (30°) + \cos (30°)) \cdot 9.99MPa \cdot 4m}

183.5623 = \frac{200 \cdot 50.1}{(\sin (30) + \cos (30)) \cdot 9.99 \cdot 4}

Tip: Use pencil ( Pencil

Pencil

) icon above to edit Input Values and Units.

Solution

Copy

Share

You are here -

HomeIcon

Home » Category

Category

Engineering » Category

Category

Civil » Category

Category

Structural Engineering » fx Stirrups area for Inclined Stirrups

Stirrups area for Inclined Stirrups Solution

Follow our step by step solution on how to calculate Stirrups area for Inclined Stirrups?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A v = \frac{200kN \cdot 50.1mm}{(\sin (30°) + \cos (30°)) \cdot 9.99MPa \cdot 4m}

Next Step Convert Units

∴

A v = \frac{200000N \cdot 0.0501m}{(\sin (0.5236rad) + \cos (0.5236rad)) \cdot 1E+7Pa \cdot 4m}

Next Step Prepare to Evaluate

∴

A v = \frac{200000 \cdot 0.0501}{(\sin (0.5236) + \cos (0.5236)) \cdot 1E+7 \cdot 4}

Next Step Evaluate

∴

A v = 0.000183562289585589m²

Next Step Convert to Output's Unit

∴

A v = 183.562289585589mm²

LAST Step Rounding Answer

∴

A v = 183.5623mm²

Stirrups area for Inclined Stirrups 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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

Effective Depth of Beam

Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.

Symbol: d_eff

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Depth of Beam

Open Variable

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 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 Stirrup Area given Support Angle

A v = \frac{Vs}{f y} \cdot \sin (α)

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}

See More

OpenImg

How to Evaluate Stirrups area for Inclined Stirrups?

Stirrups area for Inclined Stirrups evaluator uses 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) to evaluate the Stirrup Area, The Stirrups area for Inclined Stirrups defined as area cut by a plane normal to the axis of the bars when bars are bent at different distances from support. Stirrup Area is denoted by A_v symbol.

How to evaluate Stirrups area for Inclined Stirrups using this online evaluator? To use this online evaluator for Stirrups area for Inclined Stirrups, enter Strength of Shear Reinforcement (Vs), Stirrup Spacing (s), Angle at which Stirrup is inclined (α), Yield Strength of Reinforcement (f_y) & Effective Depth of Beam (d_eff) and hit the calculate button.

FAQs on Stirrups area for Inclined Stirrups

What is the formula to find Stirrups area for Inclined Stirrups?

The formula of Stirrups area for Inclined Stirrups is expressed as 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). Here is an example- 1.8E+8 = (200000*0.0501)/((sin(0.5235987755982)+cos(0.5235987755982))*9990000*4).

How to calculate Stirrups area for Inclined Stirrups?

With Strength of Shear Reinforcement (Vs), Stirrup Spacing (s), Angle at which Stirrup is inclined (α), Yield Strength of Reinforcement (f_y) & Effective Depth of Beam (d_eff) we can find Stirrups area for Inclined Stirrups using the formula - 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). This formula also uses Sine (sin), Cosine (cos) 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)/(Yield Strength of Reinforcement)*sin(Angle at which Stirrup is inclined)

Can the Stirrups area for Inclined Stirrups be negative?

Yes, the Stirrups area for Inclined Stirrups, measured in Area can be negative.

Which unit is used to measure Stirrups area for Inclined Stirrups?

Stirrups area for Inclined Stirrups 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 Stirrups area for Inclined Stirrups can be measured.

Let Others Know

✖

WhatsApp

Copied!