Diameter of Core given 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 Steel Reinforcement))+Diameter of Spiral Reinforcement
dc = ((Vh)/(pi*Ast))+Φ
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Diameter of Core - (Measured in Millimeter) - 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 Steel Reinforcement - (Measured in Square Millimeter) - The area of steel reinforcement for columns or beams is defined as an area of vertical reinforcement which is provided to absorb the bending tensile stresses in the longitudinal direction.
Diameter of Spiral Reinforcement - (Measured in Millimeter) - The 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: 191700 Cubic Meter --> 191700 Cubic Meter No Conversion Required
Area of Steel Reinforcement: 452 Square Millimeter --> 452 Square Millimeter No Conversion Required
Diameter of Spiral Reinforcement: 15 Millimeter --> 15 Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dc = ((Vh)/(pi*Ast))+Φ --> ((191700)/(pi*452))+15
Evaluating ... ...
dc = 150.000011463347
STEP 3: Convert Result to Output's Unit
0.150000011463347 Meter -->150.000011463347 Millimeter (Check conversion here)
FINAL ANSWER
150.000011463347 150 Millimeter <-- Diameter of Core
(Calculation completed in 00.020 seconds)

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Vellore Institute of Technology, Vellore (VIT, Vellore), Vellore
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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 Helical Reinforcement in One Loop Formula

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

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 Core given Volume of Helical Reinforcement in One Loop?

Diameter of Core given Volume of Helical Reinforcement in One Loop calculator uses Diameter of Core = ((Volume of Helical Reinforcement)/(pi*Area of Steel Reinforcement))+Diameter of Spiral Reinforcement to calculate the Diameter of Core, The Diameter of Core given Volume of Helical Reinforcement in One Loop formula is defined as the diameter of the core of a given helical structure. Diameter of Core is denoted by dc symbol.

How to calculate Diameter of Core given Volume of Helical Reinforcement in One Loop using this online calculator? To use this online calculator for Diameter of Core given Volume of Helical Reinforcement in One Loop, enter Volume of Helical Reinforcement (Vh), Area of Steel Reinforcement (Ast) & Diameter of Spiral Reinforcement (Φ) and hit the calculate button. Here is how the Diameter of Core given Volume of Helical Reinforcement in One Loop calculation can be explained with given input values -> 150000 = ((191700)/(pi*0.000452))+0.015.

FAQ

What is Diameter of Core given Volume of Helical Reinforcement in One Loop?
The Diameter of Core given Volume of Helical Reinforcement in One Loop formula is defined as the diameter of the core of a given helical structure and is represented as dc = ((Vh)/(pi*Ast))+Φ or Diameter of Core = ((Volume of Helical Reinforcement)/(pi*Area of Steel Reinforcement))+Diameter of Spiral Reinforcement. Volume of helical reinforcement is defined as the volume of the given helical structure, The area of steel reinforcement for columns or beams is defined as an area of vertical reinforcement which is provided to absorb the bending tensile stresses in the longitudinal direction & The diameter of spiral reinforcement is the diameter of the given spirally reinforced structure.
How to calculate Diameter of Core given Volume of Helical Reinforcement in One Loop?
The Diameter of Core given Volume of Helical Reinforcement in One Loop formula is defined as the diameter of the core of a given helical structure is calculated using Diameter of Core = ((Volume of Helical Reinforcement)/(pi*Area of Steel Reinforcement))+Diameter of Spiral Reinforcement. To calculate Diameter of Core given Volume of Helical Reinforcement in One Loop, you need Volume of Helical Reinforcement (Vh), Area of Steel Reinforcement (Ast) & Diameter of Spiral Reinforcement (Φ). With our tool, you need to enter the respective value for Volume of Helical Reinforcement, Area of Steel 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 Steel 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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