Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop Calculator

✖Diameter of core is the diameter of the core of a given spiral reinforcement.ⓘ Diameter of Core [d_c]			+10% -10%
✖Volume of helical reinforcement is defined as the volume of the given helical structure.ⓘ Volume of Helical Reinforcement [V_h]			+10% -10%
✖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.ⓘ Area of Steel Reinforcement [A_st]			+10% -10%

✖The diameter of spiral reinforcement is the diameter of the given spirally reinforced structure.ⓘ Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop [Φ]

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Formula

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Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop

Formula

`"Φ" = "d"_{"c"}-(("V"_{"h"})/(pi*"A"_{"st"}))`

Example

`"14.99999mm"="150mm"-(("191700m³")/(pi*"452mm²"))`

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Download Short Axially Loaded Columns with Helical Ties Formulas PDF

Diameter of Spiral Reinforcement given 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 Steel Reinforcement))
Φ = d_c-((V_h)/(pi*A_st))
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 Millimeter) - The diameter of spiral reinforcement is the diameter of the given spirally reinforced structure.
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.

STEP 1: Convert Input(s) to Base Unit

Diameter of Core: 150 Millimeter --> 150 Millimeter No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ = d_c-((V_h)/(pi*A_st)) --> 150-((191700)/(pi*452))

Evaluating ... ...

Φ = 14.9999885366534

STEP 3: Convert Result to Output's Unit

0.0149999885366534 Meter -->14.9999885366534 Millimeter (Check conversion here)

FINAL ANSWER

14.9999885366534 ≈ 14.99999 Millimeter <-- Diameter of Spiral Reinforcement

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Columns » Short Axially Loaded Columns with Helical Ties » Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop

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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 Spiral Reinforcement given Volume of Helical Reinforcement in one Loop Formula

Diameter of Spiral Reinforcement = Diameter of Core-((Volume of Helical Reinforcement)/(pi*Area of Steel Reinforcement))
Φ = d_c-((V_h)/(pi*A_st))

What is the purpose of a Spiral Reinforcement?

The purpose of this type of reinforcement is to retain the main bars in the 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 spirals is known as pitch.

What is a Helical Reinforcement?

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

How to Calculate Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop?

Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop calculator uses Diameter of Spiral Reinforcement = Diameter of Core-((Volume of Helical Reinforcement)/(pi*Area of Steel Reinforcement)) to calculate the Diameter of Spiral Reinforcement, The Diameter of Spiral Reinforcement given 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 Φ symbol.

How to calculate Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop using this online calculator? To use this online calculator for Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop, enter Diameter of Core (d_c), Volume of Helical Reinforcement (V_h) & Area of Steel Reinforcement (A_st) and hit the calculate button. Here is how the Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop calculation can be explained with given input values -> 14999.99 = 0.15-((191700)/(pi*0.000452)).

FAQ

What is Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop?

The Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop formula is defined as the diameter of the given spiral structure and is represented as Φ = d_c-((V_h)/(pi*A_st)) or Diameter of Spiral Reinforcement = Diameter of Core-((Volume of Helical Reinforcement)/(pi*Area of Steel 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 & 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 Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop?

The Diameter of Spiral Reinforcement given 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 Steel Reinforcement)). To calculate Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop, you need Diameter of Core (d_c), Volume of Helical Reinforcement (V_h) & Area of Steel Reinforcement (A_st). With our tool, you need to enter the respective value for Diameter of Core, Volume of Helical 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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