Diameter of Core given Volume of Core Calculator

✖Volume of core is the volume of the core of a given spiral reinforcement.ⓘ Volume of Core [V_c]			+10% -10%
✖Pitch of Spiral Reinforcement gives us a certain amount of flexural reinforcement.ⓘ Pitch of Spiral Reinforcement [P]			+10% -10%

✖Diameter of core is the diameter of the core of a given spiral reinforcement.ⓘ Diameter of Core given Volume of Core [d_c]

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Formula

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Diameter of Core given Volume of Core

Formula

`"d"_{"c"} = sqrt(4*"V"_{"c"}/(pi*"P"))`

Example

`"150.0002mm"=sqrt(4*"176715m³"/(pi*"10mm"))`

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Download Short Axially Loaded Columns with Helical Ties Formulas PDF

Diameter of Core given Volume of Core Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Core = sqrt(4*Volume of Core/(pi*Pitch of Spiral Reinforcement))
d_c = sqrt(4*V_c/(pi*P))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Diameter of Core - (Measured in Millimeter) - Diameter of core is the diameter of the core of a given spiral reinforcement.
Volume of Core - (Measured in Cubic Meter) - Volume of core is the volume of the core of a given spiral reinforcement.
Pitch of Spiral Reinforcement - (Measured in Millimeter) - Pitch of Spiral Reinforcement gives us a certain amount of flexural reinforcement.

STEP 1: Convert Input(s) to Base Unit

Volume of Core: 176715 Cubic Meter --> 176715 Cubic Meter No Conversion Required
Pitch of Spiral Reinforcement: 10 Millimeter --> 10 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_c = sqrt(4*V_c/(pi*P)) --> sqrt(4*176715/(pi*10))

Evaluating ... ...

d_c = 150.000175382522

STEP 3: Convert Result to Output's Unit

0.150000175382522 Meter -->150.000175382522 Millimeter (Check conversion here)

FINAL ANSWER

150.000175382522 ≈ 150.0002 Millimeter <-- Diameter of Core

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Columns » Short Axially Loaded Columns with Helical Ties » Diameter of Core given Volume of Core

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Created by Pranav More

Vellore Institute of Technology, Vellore (VIT, Vellore), Vellore

Pranav More has created this Calculator and 10+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 12 Short Axially Loaded Columns with Helical Ties Calculators

Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns

Go Area of Steel Reinforcement = (((Factored Load)/(1.05))-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Characteristic Strength of Steel Reinforcement)

Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns

Go Characteristic Strength of Steel Reinforcement = ((Factored Load/1.05)-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Area of Steel Reinforcement)

Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns

Go Characteristic Compressive Strength = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Area of Concrete)

Area of Concrete given Factored Axial Load

Go Area of Concrete = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Characteristic Compressive Strength)

Factored Axial Load on Member of Spiral Columns

Go Factored Load = 1.05*(0.4*Characteristic Compressive Strength*Area of Concrete+0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)

Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop

Go Diameter of Spiral Reinforcement = Diameter of Core-((Volume of Helical Reinforcement)/(pi*Area of Steel Reinforcement))

Diameter of Core given Volume of Helical Reinforcement in One Loop

Go Diameter of Core = ((Volume of Helical Reinforcement)/(pi*Area of Steel Reinforcement))+Diameter of Spiral Reinforcement

Area of Cross-section of Spiral Reinforcement given Volume

Go Area of Steel Reinforcement = Volume of Helical Reinforcement/(pi*(Diameter of Core-Diameter of Spiral Reinforcement))

Volume of Helical Reinforcement in One Loop

Go Volume of Helical Reinforcement = pi*(Diameter of Core-Diameter of Spiral Reinforcement)*Area of Steel Reinforcement

Diameter of Core given Volume of Core

Go Diameter of Core = sqrt(4*Volume of Core/(pi*Pitch of Spiral Reinforcement))

Volume of Core in Short Axially Loaded Columns with Helical Ties

Go Volume of Core = (pi/4)*Diameter of Core^(2)*Pitch of Spiral Reinforcement

Pitch of Spiral Reinforcement given Volume of Core

Go Pitch of Spiral Reinforcement = (4*Volume of Core)/(pi*Diameter of Core^2)

Diameter of Core given Volume of Core Formula

Diameter of Core = sqrt(4*Volume of Core/(pi*Pitch of Spiral Reinforcement))
d_c = sqrt(4*V_c/(pi*P))

What is the use of Spiral Reinforcement?

The Spiral reinforcement helps to support in the transverse direction. In the case of spiral column, the lateral expansion of the concrete is restrained by the spiral.

How to Calculate Diameter of Core given Volume of Core?

Diameter of Core given Volume of Core calculator uses Diameter of Core = sqrt(4*Volume of Core/(pi*Pitch of Spiral Reinforcement)) to calculate the Diameter of Core, The Diameter of Core given Volume of Core is defined as the diameter of the core of the given spiral reinforcement. Diameter of Core is denoted by d_c symbol.

How to calculate Diameter of Core given Volume of Core using this online calculator? To use this online calculator for Diameter of Core given Volume of Core, enter Volume of Core (V_c) & Pitch of Spiral Reinforcement (P) and hit the calculate button. Here is how the Diameter of Core given Volume of Core calculation can be explained with given input values -> 150000.2 = sqrt(4*176715/(pi*0.01)).

FAQ

What is Diameter of Core given Volume of Core?

The Diameter of Core given Volume of Core is defined as the diameter of the core of the given spiral reinforcement and is represented as d_c = sqrt(4*V_c/(pi*P)) or Diameter of Core = sqrt(4*Volume of Core/(pi*Pitch of Spiral Reinforcement)). Volume of core is the volume of the core of a given spiral reinforcement & Pitch of Spiral Reinforcement gives us a certain amount of flexural reinforcement.

How to calculate Diameter of Core given Volume of Core?

The Diameter of Core given Volume of Core is defined as the diameter of the core of the given spiral reinforcement is calculated using Diameter of Core = sqrt(4*Volume of Core/(pi*Pitch of Spiral Reinforcement)). To calculate Diameter of Core given Volume of Core, you need Volume of Core (V_c) & Pitch of Spiral Reinforcement (P). With our tool, you need to enter the respective value for Volume of Core & Pitch of Spiral Reinforcement 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 Diameter of Core?

In this formula, Diameter of Core uses Volume of Core & Pitch of Spiral Reinforcement. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of Core = ((Volume of Helical Reinforcement)/(pi*Area of Steel Reinforcement))+Diameter of Spiral Reinforcement

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