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)
Vs = Av*fysteel*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
Vs = Av*fysteel*sin(α) --> 500*250000000*sin(0.5235987755982)
Evaluating ... ...
Vs = 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 00.008 seconds)

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Coorg Institute of Technology (CIT), Coorg
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Shear Reinforcement Calculators

Nominal Shear Strength of Concrete
​ LaTeX ​ 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)
Area of Steel Required in Vertical Stirrups
​ LaTeX ​ Go Area of Steel required = (Nominal Shear Strength by Reinforcement*Stirrup Spacing)/(Yield Strength of Steel*Centroidal Distance of Tension Reinforcement)
Ultimate Shear Capacity of Beam Section
​ LaTeX ​ Go Ultimate Shear Capacity = (Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement)
Nominal Shear Strength Provided by Reinforcement
​ LaTeX ​ Go Nominal Shear Strength by Reinforcement = Ultimate Shear Capacity-Nominal Shear Strength of Concrete

Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle Formula

​LaTeX ​Go
Nominal Shear Strength by Reinforcement = Stirrup Area*Yield Strength of Steel*sin(Angle at which Stirrup is inclined)
Vs = Av*fysteel*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 Vs 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 (Av), Yield Strength of Steel (fysteel) & 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 Vs = Av*fysteel*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 (Av), Yield Strength of Steel (fysteel) & 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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