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))
Dc = sqrt(4*Vc/(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
Dc = sqrt(4*Vc/(pi*p)) --> sqrt(4*3000/(pi*0.01))
Evaluating ... ...
Dc = 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)

Credits

Created by Pranav More
Vellore Institute of Technology, Vellore (VIT, Vellore), Vellore
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Verified by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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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))
Dc = sqrt(4*Vc/(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 Dc 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 (Vc) & 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 Dc = sqrt(4*Vc/(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 (Vc) & 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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