Volume of Helical Reinforcement in One Loop Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Helical Reinforcement = pi*(Diameter of Core-Diameter of Spiral Reinforcement)*Area of Steel Reinforcement
Vh = pi*(dc-Φ)*Ast
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Volume of Helical Reinforcement - (Measured in Cubic Meter) - Volume of helical reinforcement is defined as the volume of the given helical structure.
Diameter of Core - (Measured in Millimeter) - Diameter of core is the diameter of the core of a given spiral reinforcement.
Diameter of Spiral Reinforcement - (Measured in Millimeter) - The diameter of spiral reinforcement is the diameter of the given spirally reinforced 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.
STEP 1: Convert Input(s) to Base Unit
Diameter of Core: 150 Millimeter --> 150 Millimeter No Conversion Required
Diameter of Spiral Reinforcement: 15 Millimeter --> 15 Millimeter No Conversion Required
Area of Steel Reinforcement: 452 Square Millimeter --> 452 Square Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vh = pi*(dc-Φ)*Ast --> pi*(150-15)*452
Evaluating ... ...
Vh = 191699.983722049
STEP 3: Convert Result to Output's Unit
191699.983722049 Cubic Meter --> No Conversion Required
FINAL ANSWER
191699.983722049 191700 Cubic Meter <-- Volume of Helical Reinforcement
(Calculation completed in 00.004 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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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)

Volume of Helical Reinforcement in One Loop Formula

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

What is a Helical Reinforcement?

Helical reinforcement is capable of protecting columns or piles against seismic loads. Whenever the column reaches the failure condition, then concrete outside hoops will crack & it falls off first, followed by the whole columns’ eventual failure.

How to Calculate Volume of Helical Reinforcement in One Loop?

Volume of Helical Reinforcement in One Loop calculator uses Volume of Helical Reinforcement = pi*(Diameter of Core-Diameter of Spiral Reinforcement)*Area of Steel Reinforcement to calculate the Volume of Helical Reinforcement, The Volume of Helical Reinforcement in One Loop formula is defined as the volume of the given helical reinforcement which is small-diameter reinforcement wrapped around the main or longitudinal reinforcement, restraining the lateral expansion of the concrete under compression, and thus strengthening the structure. Volume of Helical Reinforcement is denoted by Vh symbol.

How to calculate Volume of Helical Reinforcement in One Loop using this online calculator? To use this online calculator for Volume of Helical Reinforcement in One Loop, enter Diameter of Core (dc), Diameter of Spiral Reinforcement (Φ) & Area of Steel Reinforcement (Ast) and hit the calculate button. Here is how the Volume of Helical Reinforcement in One Loop calculation can be explained with given input values -> 191700 = pi*(0.15-0.015)*0.000452.

FAQ

What is Volume of Helical Reinforcement in One Loop?
The Volume of Helical Reinforcement in One Loop formula is defined as the volume of the given helical reinforcement which is small-diameter reinforcement wrapped around the main or longitudinal reinforcement, restraining the lateral expansion of the concrete under compression, and thus strengthening the structure and is represented as Vh = pi*(dc-Φ)*Ast or Volume of Helical Reinforcement = pi*(Diameter of Core-Diameter of Spiral Reinforcement)*Area of Steel Reinforcement. Diameter of core is the diameter of the core of a given spiral reinforcement, The diameter of spiral reinforcement is the diameter of the given spirally reinforced 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.
How to calculate Volume of Helical Reinforcement in One Loop?
The Volume of Helical Reinforcement in One Loop formula is defined as the volume of the given helical reinforcement which is small-diameter reinforcement wrapped around the main or longitudinal reinforcement, restraining the lateral expansion of the concrete under compression, and thus strengthening the structure is calculated using Volume of Helical Reinforcement = pi*(Diameter of Core-Diameter of Spiral Reinforcement)*Area of Steel Reinforcement. To calculate Volume of Helical Reinforcement in One Loop, you need Diameter of Core (dc), Diameter of Spiral Reinforcement (Φ) & Area of Steel Reinforcement (Ast). With our tool, you need to enter the respective value for Diameter of Core, Diameter of Spiral Reinforcement & Area of Steel 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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