Diameter of the core when Volume of Core is established Calculator

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✖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 the core when Volume of Core is established [D_c]

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Diameter of the core when Volume of Core is established 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 - Squre root function, sqrt(Number)

Variables Used

Diameter of core - (Measured in Meter) - 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 Meter) - Pitch of spiral reinforcement gives us a certain amount of flexural reinforcement.

STEP 1: Convert Input(s) to Base Unit

Volume of core: 3000 Cubic Meter --> 3000 Cubic Meter No Conversion Required
Pitch of spiral reinforcement: 10 Millimeter --> 0.01 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_c = sqrt(4*V_c/(pi*p)) --> sqrt(4*3000/(pi*0.01))

Evaluating ... ...

D_c = 618.038723237103

STEP 3: Convert Result to Output's Unit

618.038723237103 Meter --> No Conversion Required

FINAL ANSWER

618.038723237103 Meter <-- Diameter of core

(Calculation completed in 00.016 seconds)

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Home » Engineering » Civil » Columns » Short Axially Loaded Columns with Helical Ties » Diameter of the core when Volume of Core is established

Credits

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

Mithila Muthamma PA has verified this Calculator and 800+ more calculators!

< 10+ Short Axially Loaded Columns with Helical Ties Calculators

Area of longitudinal reinforcement for columns given factored axial load in spiral columns

Area of longitudinal reinforcement for columns = (((Factored axial load)/(1.05))-(0.4*Characteristic compressive strength*Area of concrete))/(0.67*Characteristic strength compressive reinforcement) Go

Characteristic strength of the compression reinforcement given factored load in spiral columns

Characteristic strength compressive reinforcement = ((Factored axial load/1.05)-(0.4*Characteristic compressive strength*Area of concrete))/(0.67*Area of longitudinal reinforcement for columns) Go

Characteristic compressive strength of concrete given factored axial load in spiral columns

Characteristic compressive strength = (0.95*Factored axial load-0.67*Characteristic strength compressive reinforcement*Area of longitudinal reinforcement for columns)/(0.4*Area of concrete) Go

Area of concrete given factored axial load in spiral columns

Area of concrete = (0.95*Factored axial load-0.67*Characteristic strength compressive reinforcement*Area of longitudinal reinforcement for columns)/(0.4*Characteristic compressive strength) Go

Factored Axial Load on the Member of the spiral columns

Factored Load = 1.05*(0.4*Characteristic compressive strength*Area of concrete+0.67*Characteristic strength compressive reinforcement*Area of longitudinal reinforcement for columns) Go

Diameter of the spiral reinforcement in terms of Volume of helical reinforcement in one loop

Diameter of spiral reinforcement = Diameter of core-((Volume of helical reinforcement)/(pi*Area of cross section of spiral reinforcement)) Go

Diameter of the core in terms of Volume of helical reinforcement in one loop

Diameter of core = ((Volume of helical reinforcement)/(pi*Area of cross section of spiral reinforcement))+Diameter of spiral reinforcement Go

Area of cross-section of spiral reinforcement when Volume is established

Area of cross section of spiral reinforcement = Volume of helical reinforcement/pi*(Diameter of core-Diameter of spiral reinforcement) Go

Volume of helical reinforcement in one loop

Volume of helical reinforcement = pi*(Diameter of core-Diameter of spiral reinforcement)*Area of cross section of spiral reinforcement Go

Volume of core in Short Axially Loaded Columns with Helical Ties

Volume of core = (pi/4)*((Diameter of core)^(2))*Pitch of spiral reinforcement Go

Diameter of the core when Volume of Core is established 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 the core when Volume of Core is established?

Diameter of the core when Volume of Core is established calculator uses Diameter of core = sqrt(4*Volume of core/(pi*Pitch of spiral reinforcement)) to calculate the Diameter of core, The Diameter of the core when Volume of Core is established 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 the core when Volume of Core is established using this online calculator? To use this online calculator for Diameter of the core when Volume of Core is established, enter Volume of core (V_c) & Pitch of spiral reinforcement (p) and hit the calculate button. Here is how the Diameter of the core when Volume of Core is established calculation can be explained with given input values -> 618.0387 = sqrt(4*3000/(pi*0.01)).

FAQ

What is Diameter of the core when Volume of Core is established?

The Diameter of the core when Volume of Core is established 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 the core when Volume of Core is established?

The Diameter of the core when Volume of Core is established 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 the core when Volume of Core is established, 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 cross section of spiral reinforcement))+Diameter of spiral reinforcement

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