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

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of core = ((Volume of helical reinforcement)/(pi*Area of cross section of spiral reinforcement))+Diameter of spiral reinforcement
Dc = ((Vh)/(pi*Asp))+Φsp
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Diameter of core - (Measured in Meter) - Diameter of core is the diameter of the core of a given spiral reinforcement.
Volume of helical reinforcement - (Measured in Cubic Meter) - Volume of helical reinforcement is defined as the volume of the given helical structure.
Area of cross section of spiral reinforcement - (Measured in Square Meter) - Area of cross section of spiral reinforcement is defined as the cross-sectional area of spiral or hoop.
Diameter of spiral reinforcement - (Measured in Meter) - Diameter of spiral reinforcement is the diameter of the given spirally reinforced structure.
STEP 1: Convert Input(s) to Base Unit
Volume of helical reinforcement: 100 Cubic Meter --> 100 Cubic Meter No Conversion Required
Area of cross section of spiral reinforcement: 2000 Square Meter --> 2000 Square Meter No Conversion Required
Diameter of spiral reinforcement: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dc = ((Vh)/(pi*Asp))+Φsp --> ((100)/(pi*2000))+10
Evaluating ... ...
Dc = 10.0159154943092
STEP 3: Convert Result to Output's Unit
10.0159154943092 Meter --> No Conversion Required
FINAL ANSWER
10.0159154943092 Meter <-- Diameter of core
(Calculation completed in 00.031 seconds)

Credits

Created by Pranav More
Vellore Institute of Technology, Vellore (VIT, Vellore), Vellore
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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 in terms of Volume of helical reinforcement in one loop Formula

Diameter of core = ((Volume of helical reinforcement)/(pi*Area of cross section of spiral reinforcement))+Diameter of spiral reinforcement
Dc = ((Vh)/(pi*Asp))+Φsp

What is a helical reinforcement?

A unit of reinforcement is wrapped in a helical manner around the main longitudinal reinforcing bar in a pile or column to prevent them from buckling. It also serves to carry shear and tension, as well as around tendons that are attached to resist burst action.

How to Calculate Diameter of the core in terms of Volume of helical reinforcement in one loop?

Diameter of the core in terms of Volume of helical reinforcement in one loop calculator uses Diameter of core = ((Volume of helical reinforcement)/(pi*Area of cross section of spiral reinforcement))+Diameter of spiral reinforcement to calculate the Diameter of core, The Diameter of the core in terms of Volume of helical reinforcement in one loop formula is defined as the diameter of the core of given helical structure. Diameter of core is denoted by Dc symbol.

How to calculate Diameter of the core in terms of Volume of helical reinforcement in one loop using this online calculator? To use this online calculator for Diameter of the core in terms of Volume of helical reinforcement in one loop, enter Volume of helical reinforcement (Vh), Area of cross section of spiral reinforcement (Asp) & Diameter of spiral reinforcement sp) and hit the calculate button. Here is how the Diameter of the core in terms of Volume of helical reinforcement in one loop calculation can be explained with given input values -> 10.01592 = ((100)/(pi*2000))+10.

FAQ

What is Diameter of the core in terms of Volume of helical reinforcement in one loop?
The Diameter of the core in terms of Volume of helical reinforcement in one loop formula is defined as the diameter of the core of given helical structure and is represented as Dc = ((Vh)/(pi*Asp))+Φsp or Diameter of core = ((Volume of helical reinforcement)/(pi*Area of cross section of spiral reinforcement))+Diameter of spiral reinforcement. Volume of helical reinforcement is defined as the volume of the given helical structure, Area of cross section of spiral reinforcement is defined as the cross-sectional area of spiral or hoop & Diameter of spiral reinforcement is the diameter of the given spirally reinforced structure.
How to calculate Diameter of the core in terms of Volume of helical reinforcement in one loop?
The Diameter of the core in terms of Volume of helical reinforcement in one loop formula is defined as the diameter of the core of given helical structure is calculated using Diameter of core = ((Volume of helical reinforcement)/(pi*Area of cross section of spiral reinforcement))+Diameter of spiral reinforcement. To calculate Diameter of the core in terms of Volume of helical reinforcement in one loop, you need Volume of helical reinforcement (Vh), Area of cross section of spiral reinforcement (Asp) & Diameter of spiral reinforcement sp). With our tool, you need to enter the respective value for Volume of helical reinforcement, Area of cross section of spiral reinforcement & Diameter 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 helical reinforcement, Area of cross section of spiral reinforcement & Diameter of spiral reinforcement. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Diameter of core = sqrt(4*Volume of core/(pi*Pitch of spiral reinforcement))
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