Distance from Extreme Compression to Centroid given Area in Legs of Vertical Stirrup Calculator

✖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 [V']			+10% -10%
✖Stirrup Spacing is the approximate minimum spacing between two bars in a section.ⓘ Stirrup Spacing [s]			+10% -10%
✖Allowable stress in stirrup steel is 55% of those for ultimate strength design.ⓘ Allowable Stress in Stirrup Steel [f_v]			+10% -10%
✖Stirrup Area is the total cross-sectional area of the stirrup bars used.ⓘ Stirrup Area [A_v]			+10% -10%

✖Compression to Centroid Reinforcement Distance is the distance from extreme compression surface to the centroid of compression reinforcement.ⓘ Distance from Extreme Compression to Centroid given Area in Legs of Vertical Stirrup [d']

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Distance from Extreme Compression to Centroid given Area in Legs of Vertical Stirrup Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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 Spacing - (Measured in Meter) - Stirrup Spacing is the approximate minimum spacing between two bars in a section.
Allowable Stress in Stirrup Steel - (Measured in Pascal) - Allowable stress in stirrup steel is 55% of those for ultimate strength design.
Stirrup Area - (Measured in Square Meter) - Stirrup Area is the total cross-sectional area of the stirrup bars used.

STEP 1: Convert Input(s) to Base Unit

Excess Shear: 3500 Newton per Square Meter --> 3500 Pascal (Check conversion here)
Stirrup Spacing: 50.1 Millimeter --> 0.0501 Meter (Check conversion here)
Allowable Stress in Stirrup Steel: 35 Megapascal --> 35000000 Pascal (Check conversion here)
Stirrup Area: 500 Square Millimeter --> 0.0005 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d' = (V'*s)/(f_v*A_v) --> (3500*0.0501)/(35000000*0.0005)

Evaluating ... ...

d' = 0.01002

STEP 3: Convert Result to Output's Unit

0.01002 Meter -->10.02 Millimeter (Check conversion here)

FINAL ANSWER

10.02 Millimeter <-- Compression to Centroid Reinforcement Distance

(Calculation completed in 00.008 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

Distance from Extreme Compression to Centroid given Area in Legs of Vertical Stirrup Formula

LaTeX Go

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

What is Vertical Stirrup?

Vertical stirrup is a steel bar vertically placed around the tensile reinforcement at suitable spacing along the length of the beam.

What is Stirrup?

A Stirrup is a closed loop of reinforcement bars, which has the main function of holding the main reinforcement bars together in a reinforced concrete element.

How to Calculate Distance from Extreme Compression to Centroid given Area in Legs of Vertical Stirrup?

Distance from Extreme Compression to Centroid given Area in Legs of Vertical Stirrup calculator uses Compression to Centroid Reinforcement Distance = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Stirrup Area) to calculate the Compression to Centroid Reinforcement Distance, The Distance from Extreme Compression to Centroid given Area in Legs of Vertical Stirrup formula is defined as the distance calculated from extreme end of compression to centroid of beam. Compression to Centroid Reinforcement Distance is denoted by d' symbol.

How to calculate Distance from Extreme Compression to Centroid given Area in Legs of Vertical Stirrup using this online calculator? To use this online calculator for Distance from Extreme Compression to Centroid given Area in Legs of Vertical Stirrup, enter Excess Shear (V'), Stirrup Spacing (s), Allowable Stress in Stirrup Steel (f_v) & Stirrup Area (A_v) and hit the calculate button. Here is how the Distance from Extreme Compression to Centroid given Area in Legs of Vertical Stirrup calculation can be explained with given input values -> 10020 = (3500*0.0501)/(35000000*0.0005).

FAQ

What is Distance from Extreme Compression to Centroid given Area in Legs of Vertical Stirrup?

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

How to calculate Distance from Extreme Compression to Centroid given Area in Legs of Vertical Stirrup?

The Distance from Extreme Compression to Centroid given Area in Legs of Vertical Stirrup formula is defined as the distance calculated from extreme end of compression to centroid of beam is calculated using Compression to Centroid Reinforcement Distance = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Stirrup Area). To calculate Distance from Extreme Compression to Centroid given Area in Legs of Vertical Stirrup, you need Excess Shear (V'), Stirrup Spacing (s), Allowable Stress in Stirrup Steel (f_v) & Stirrup Area (A_v). With our tool, you need to enter the respective value for Excess Shear, Stirrup Spacing, Allowable Stress in Stirrup Steel & Stirrup Area 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 Compression to Centroid Reinforcement Distance?

In this formula, Compression to Centroid Reinforcement Distance uses Excess Shear, Stirrup Spacing, Allowable Stress in Stirrup Steel & Stirrup Area. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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