Excess Shear given Area in Legs of Vertical Stirrup Calculator

✖Stirrup Area is the total cross-sectional area of the stirrup bars used.ⓘ Stirrup Area [A_v]			+10% -10%
✖Allowable stress in stirrup steel is 55% of those for ultimate strength design.ⓘ Allowable Stress in Stirrup Steel [f_v]			+10% -10%
✖Compression to Centroid Reinforcement Distance is the distance from extreme compression surface to the centroid of compression reinforcement.ⓘ Compression to Centroid Reinforcement Distance [d']			+10% -10%
✖Stirrup Spacing is the approximate minimum spacing between two bars in a section.ⓘ Stirrup Spacing [s]			+10% -10%

✖Excess shear is a measure that can be evaluated numerically and that, in principle, can be used in an assessment of the possible magnitude and relative likelihood of seismic activity.ⓘ Excess Shear given Area in Legs of Vertical Stirrup [V']

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Excess Shear given Area in Legs of Vertical Stirrup Solution

STEP 0: Pre-Calculation Summary

Formula Used

Excess Shear = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)/(Stirrup Spacing)
V' = (A_v*f_v*d')/(s)
This formula uses 5 Variables

Variables Used

Excess Shear - (Measured in Pascal) - Excess shear is a measure that can be evaluated numerically and that, in principle, can be used in an assessment of the possible magnitude and relative likelihood of seismic activity.
Stirrup Area - (Measured in Square Meter) - Stirrup Area is the total cross-sectional area of the stirrup bars used.
Allowable Stress in Stirrup Steel - (Measured in Pascal) - Allowable stress in stirrup steel is 55% of those for ultimate strength design.
Compression to Centroid Reinforcement Distance - (Measured in Meter) - Compression to Centroid Reinforcement Distance is the distance from extreme compression surface to the centroid of compression reinforcement.
Stirrup Spacing - (Measured in Meter) - Stirrup Spacing is the approximate minimum spacing between two bars in a section.

STEP 1: Convert Input(s) to Base Unit

Stirrup Area: 500 Square Millimeter --> 0.0005 Square Meter (Check conversion here)
Allowable Stress in Stirrup Steel: 35 Megapascal --> 35000000 Pascal (Check conversion here)
Compression to Centroid Reinforcement Distance: 10.1 Millimeter --> 0.0101 Meter (Check conversion here)
Stirrup Spacing: 50.1 Millimeter --> 0.0501 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V' = (A_v*f_v*d')/(s) --> (0.0005*35000000*0.0101)/(0.0501)

Evaluating ... ...

V' = 3527.94411177645

STEP 3: Convert Result to Output's Unit

3527.94411177645 Pascal -->3527.94411177645 Newton per Square Meter (Check conversion here)

FINAL ANSWER

3527.94411177645 ≈ 3527.944 Newton per Square Meter <-- Excess Shear

(Calculation completed in 00.020 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Bhilai Institute of Technology (BIT), Raipur

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< Allowable Shear Calculators

Area Required in Legs of Vertical Stirrup

LaTeX Go Stirrup Area = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)

Distance from Extreme Compression to Centroid given Nominal Unit Shear Stress

LaTeX Go Compression to Centroid Reinforcement Distance = Total Shear/(Beam Width for Nominal Shear*Nominal Shear Stress)

Nominal Unit Shear Stress

LaTeX Go Nominal Shear Stress = Total Shear/(Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance)

Shear given Nominal Unit Shear Stress

LaTeX Go Total Shear = Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance*Nominal Shear Stress

Excess Shear given Area in Legs of Vertical Stirrup Formula

LaTeX Go

Excess Shear = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)/(Stirrup Spacing)
V' = (A_v*f_v*d')/(s)

What is Vertical Stirrup?

Vertical stirrups are steel bars that are provided resist shear because shear failure in a beam can cause diagonal cracks.

How to Calculate Excess Shear given Area in Legs of Vertical Stirrup?

Excess Shear given Area in Legs of Vertical Stirrup calculator uses Excess Shear = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)/(Stirrup Spacing) to calculate the Excess Shear, The Excess Shear given Area in Legs of Vertical Stirrup formula is defined as the shear which is present in excess. It can also be calculated by V'= V - vcbd. Excess Shear is denoted by V' symbol.

How to calculate Excess Shear given Area in Legs of Vertical Stirrup using this online calculator? To use this online calculator for Excess Shear given Area in Legs of Vertical Stirrup, enter Stirrup Area (A_v), Allowable Stress in Stirrup Steel (f_v), Compression to Centroid Reinforcement Distance (d') & Stirrup Spacing (s) and hit the calculate button. Here is how the Excess Shear given Area in Legs of Vertical Stirrup calculation can be explained with given input values -> 3493.014 = (0.0005*35000000*0.0101)/(0.0501).

FAQ

What is Excess Shear given Area in Legs of Vertical Stirrup?

The Excess Shear given Area in Legs of Vertical Stirrup formula is defined as the shear which is present in excess. It can also be calculated by V'= V - vcbd and is represented as V' = (A_v*f_v*d')/(s) or Excess Shear = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)/(Stirrup Spacing). Stirrup Area is the total cross-sectional area of the stirrup bars used, Allowable stress in stirrup steel is 55% of those for ultimate strength design, Compression to Centroid Reinforcement Distance is the distance from extreme compression surface to the centroid of compression reinforcement & Stirrup Spacing is the approximate minimum spacing between two bars in a section.

How to calculate Excess Shear given Area in Legs of Vertical Stirrup?

The Excess Shear given Area in Legs of Vertical Stirrup formula is defined as the shear which is present in excess. It can also be calculated by V'= V - vcbd is calculated using Excess Shear = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)/(Stirrup Spacing). To calculate Excess Shear given Area in Legs of Vertical Stirrup, you need Stirrup Area (A_v), Allowable Stress in Stirrup Steel (f_v), Compression to Centroid Reinforcement Distance (d') & Stirrup Spacing (s). With our tool, you need to enter the respective value for Stirrup Area, Allowable Stress in Stirrup Steel, Compression to Centroid Reinforcement Distance & Stirrup Spacing and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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