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

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of spiral reinforcement = Diameter of core-((Volume of helical reinforcement)/(pi*Area of cross section of spiral reinforcement))
Φsp = Dc-((Vh)/(pi*Asp))
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Diameter of spiral reinforcement - (Measured in Meter) - Diameter of spiral reinforcement is the diameter of the given spirally reinforced structure.
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.
STEP 1: Convert Input(s) to Base Unit
Diameter of core: 100 Meter --> 100 Meter No Conversion Required
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Φsp = Dc-((Vh)/(pi*Asp)) --> 100-((100)/(pi*2000))
Evaluating ... ...
Φsp = 99.9840845056908
STEP 3: Convert Result to Output's Unit
99.9840845056908 Meter --> No Conversion Required
FINAL ANSWER
99.9840845056908 Meter <-- Diameter of spiral reinforcement
(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 spiral reinforcement in terms of Volume of helical reinforcement in one loop Formula

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

What is the purpose of a spiral reinforcement?

The purpose of this type of reinforcement is to retain the main bars in exact position. The height or depth of the column is taken as 10 feet. The gaping among each spiral is 2 feet. The gaping gapping among two successive spiral is known as pitch.

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

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

How to calculate Diameter of the spiral reinforcement in terms of Volume of helical reinforcement in one loop using this online calculator? To use this online calculator for Diameter of the spiral reinforcement in terms of Volume of helical reinforcement in one loop, enter Diameter of core (Dc), Volume of helical reinforcement (Vh) & Area of cross section of spiral reinforcement (Asp) and hit the calculate button. Here is how the Diameter of the spiral reinforcement in terms of Volume of helical reinforcement in one loop calculation can be explained with given input values -> 99.98408 = 100-((100)/(pi*2000)).

FAQ

What is Diameter of the spiral reinforcement in terms of Volume of helical reinforcement in one loop?
The Diameter of the spiral reinforcement in terms of Volume of helical reinforcement in one loop formula is defined as the diameter of the given spiral structure and is represented as Φsp = Dc-((Vh)/(pi*Asp)) or Diameter of spiral reinforcement = Diameter of core-((Volume of helical reinforcement)/(pi*Area of cross section of spiral reinforcement)). Diameter of core is the diameter of the core of a given 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.
How to calculate Diameter of the spiral reinforcement in terms of Volume of helical reinforcement in one loop?
The Diameter of the spiral reinforcement in terms of Volume of helical reinforcement in one loop formula is defined as the diameter of the given spiral structure is calculated using Diameter of spiral reinforcement = Diameter of core-((Volume of helical reinforcement)/(pi*Area of cross section of spiral reinforcement)). To calculate Diameter of the spiral reinforcement in terms of Volume of helical reinforcement in one loop, you need Diameter of core (Dc), Volume of helical reinforcement (Vh) & Area of cross section of spiral reinforcement (Asp). With our tool, you need to enter the respective value for Diameter of core, Volume of helical reinforcement & Area of cross section of spiral reinforcement and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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