Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle Calculator

✖Stirrup Area is the total cross-sectional area of the stirrup bars used.ⓘ Stirrup Area [A_v]			+10% -10%
✖Yield Strength of Steel is the level of stress that corresponds to the yield point.ⓘ Yield Strength of Steel [fy_steel]			+10% -10%
✖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.ⓘ Angle at which Stirrup is inclined [α]			+10% -10%

✖Nominal Shear Strength by Reinforcement is the strength or capacity of shear reinforcement to withstand shear or diagonal stresses.ⓘ Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle [V_s]

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Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle

Formula

`"V"_{"s"} = "A"_{"v"}*"fy"_{"steel"}*sin("α")`

Example

`"62500MPa"="500mm²"*"250MPa"*sin("30°")`

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Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nominal Shear Strength by Reinforcement = Stirrup Area*Yield Strength of Steel*sin(Angle at which Stirrup is inclined)
V_s = A_v*fy_steel*sin(α)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sin(Angle)

Variables Used

Nominal Shear Strength by Reinforcement - (Measured in Pascal) - Nominal Shear Strength by Reinforcement is the strength or capacity of shear reinforcement to withstand shear or diagonal stresses.
Stirrup Area - (Measured in Square Millimeter) - Stirrup Area is the total cross-sectional area of the stirrup bars used.
Yield Strength of Steel - (Measured in Pascal) - Yield Strength of Steel is the level of stress that corresponds to the yield point.
Angle at which Stirrup is inclined - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Stirrup Area: 500 Square Millimeter --> 500 Square Millimeter No Conversion Required
Yield Strength of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)
Angle at which Stirrup is inclined: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_s = A_v*fy_steel*sin(α) --> 500*250000000*sin(0.5235987755982)

Evaluating ... ...

V_s = 62500000000

STEP 3: Convert Result to Output's Unit

62500000000 Pascal -->62500 Megapascal (Check conversion here)

FINAL ANSWER

62500 Megapascal <-- Nominal Shear Strength by Reinforcement

(Calculation completed in 00.004 seconds)

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< 12 Shear Reinforcement Calculators

Nominal Shear Strength of Concrete

Go Nominal Shear Strength of Concrete = (1.9*sqrt(28 Day Compressive Strength of Concrete)+((2500*Reinforcement Ratio of Web Section)*((Shear Force in considered Section*Centroidal Distance of Tension Reinforcement)/Bending Moment of Considered Section)))*(Width of Beam Web*Centroidal Distance of Tension Reinforcement)

Stirrup Area given Stirrup Spacing in Practical Design

Go 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 Spacing for Practical Design

Go Stirrup Spacing = (Stirrup Area*Capacity Reduction Factor*Yield Strength of Steel*Effective Depth of Beam)/((Design of Shear Stress)-((2*Capacity Reduction Factor)*sqrt(28 Day Compressive Strength of Concrete)*Breadth of Web*Effective Depth of Beam))

Stirrups area for Inclined Stirrups

Go 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)

Area of Steel Required in Vertical Stirrups

Go Area of Steel required = (Nominal Shear Strength by Reinforcement*Stirrup Spacing)/(Yield Strength of Steel*Centroidal Distance of Tension Reinforcement)

Stirrup Area given Support Angle

Go Stirrup Area = (Strength of Shear Reinforcement)/(Yield Strength of Reinforcement)*sin(Angle at which Stirrup is inclined)

Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle

Go Nominal Shear Strength by Reinforcement = Stirrup Area*Yield Strength of Steel*sin(Angle at which Stirrup is inclined)

Bar Diameter given Development Length for Hooked Bar

Go Bar Diameter = ((Development Length)*(sqrt(28 Day Compressive Strength of Concrete)))/1200

Development Length for Hooked Bar

Go Development Length = (1200*Bar Diameter)/sqrt(28 Day Compressive Strength of Concrete)

Ultimate Shear Capacity of Beam Section

Go Ultimate Shear Capacity = (Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement)

Nominal Shear Strength Provided by Reinforcement

Go Nominal Shear Strength by Reinforcement = Ultimate Shear Capacity-Nominal Shear Strength of Concrete

28 Day Concrete Compressive Strength given Development Length for Hooked Bar

Go 28 Day Compressive Strength of Concrete = ((1200*Bar Diameter)/(Development Length))^2

Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle Formula

Nominal Shear Strength by Reinforcement = Stirrup Area*Yield Strength of Steel*sin(Angle at which Stirrup is inclined)
V_s = A_v*fy_steel*sin(α)

What does Nominal Shear Strength mean?

Nominal strength is defined as the capacity of a structure to resist the effects of loads, as determined by computations using specified material strengths, dimensions and formulas derived from standard principles.

What are the Types of Shear Reinforcement?

The types of shear reinforcement are Vertical stirrups, Inclined stirrups and Bent up bars along with stirrups.

How to Calculate Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle?

Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle calculator uses Nominal Shear Strength by Reinforcement = Stirrup Area*Yield Strength of Steel*sin(Angle at which Stirrup is inclined) to calculate the Nominal Shear Strength by Reinforcement, The Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle is defined as the shear strength of a member or cross section calculated in accordance with specifications of the strength-design before application of any strength-reduction factor. Nominal Shear Strength by Reinforcement is denoted by V_s symbol.

How to calculate Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle using this online calculator? To use this online calculator for Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle, enter Stirrup Area (A_v), Yield Strength of Steel (fy_steel) & Angle at which Stirrup is inclined (α) and hit the calculate button. Here is how the Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle calculation can be explained with given input values -> 6.3E-8 = 0.0005*250000000*sin(0.5235987755982).

FAQ

What is Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle?

The Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle is defined as the shear strength of a member or cross section calculated in accordance with specifications of the strength-design before application of any strength-reduction factor and is represented as V_s = A_v*fy_steel*sin(α) or Nominal Shear Strength by Reinforcement = Stirrup Area*Yield Strength of Steel*sin(Angle at which Stirrup is inclined). Stirrup Area is the total cross-sectional area of the stirrup bars used, Yield Strength of Steel is the level of stress that corresponds to the yield point & 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.

How to calculate Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle?

The Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle is defined as the shear strength of a member or cross section calculated in accordance with specifications of the strength-design before application of any strength-reduction factor is calculated using Nominal Shear Strength by Reinforcement = Stirrup Area*Yield Strength of Steel*sin(Angle at which Stirrup is inclined). To calculate Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle, you need Stirrup Area (A_v), Yield Strength of Steel (fy_steel) & Angle at which Stirrup is inclined (α). With our tool, you need to enter the respective value for Stirrup Area, Yield Strength of Steel & Angle at which Stirrup is inclined and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Nominal Shear Strength by Reinforcement?

In this formula, Nominal Shear Strength by Reinforcement uses Stirrup Area, Yield Strength of Steel & Angle at which Stirrup is inclined. We can use 1 other way(s) to calculate the same, which is/are as follows -

Nominal Shear Strength by Reinforcement = Ultimate Shear Capacity-Nominal Shear Strength of Concrete

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