Volume of Core in Short Axially Loaded Columns with Helical Ties Calculator

✖Diameter of core is the diameter of the core of a given spiral reinforcement.ⓘ Diameter of Core [d_c]			+10% -10%
✖Pitch of Spiral Reinforcement gives us a certain amount of flexural reinforcement.ⓘ Pitch of Spiral Reinforcement [P]			+10% -10%

✖Volume of core is the volume of the core of a given spiral reinforcement.ⓘ Volume of Core in Short Axially Loaded Columns with Helical Ties [V_c]

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Formula

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Volume of Core in Short Axially Loaded Columns with Helical Ties

Formula

`"V"_{"c"} = (pi/4)*"d"_{"c"}^(2)*"P"`

Example

`"176714.6m³"=(pi/4)*("150mm")^(2)*"10mm"`

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Volume of Core in Short Axially Loaded Columns with Helical Ties Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Core = (pi/4)*Diameter of Core^(2)*Pitch of Spiral Reinforcement
V_c = (pi/4)*d_c^(2)*P
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Volume of Core - (Measured in Cubic Meter) - Volume of core is the volume of the core of a given spiral reinforcement.
Diameter of Core - (Measured in Millimeter) - Diameter of core is the diameter of the core of a given spiral reinforcement.
Pitch of Spiral Reinforcement - (Measured in Millimeter) - Pitch of Spiral Reinforcement gives us a certain amount of flexural reinforcement.

STEP 1: Convert Input(s) to Base Unit

Diameter of Core: 150 Millimeter --> 150 Millimeter No Conversion Required
Pitch of Spiral Reinforcement: 10 Millimeter --> 10 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = (pi/4)*d_c^(2)*P --> (pi/4)*150^(2)*10

Evaluating ... ...

V_c = 176714.586764426

STEP 3: Convert Result to Output's Unit

176714.586764426 Cubic Meter --> No Conversion Required

FINAL ANSWER

176714.586764426 ≈ 176714.6 Cubic Meter <-- Volume of Core

(Calculation completed in 00.004 seconds)

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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 Core in Short Axially Loaded Columns with Helical Ties Formula

Volume of Core = (pi/4)*Diameter of Core^(2)*Pitch of Spiral Reinforcement
V_c = (pi/4)*d_c^(2)*P

What is a Short Column?

When the length of the column is less as compared to its c/s dimension, it is called the Short column. A short column is the one whose ratio of effective length to its least lateral dimension is less than or equal to 12.

How to Calculate Volume of Core in Short Axially Loaded Columns with Helical Ties?

Volume of Core in Short Axially Loaded Columns with Helical Ties calculator uses Volume of Core = (pi/4)*Diameter of Core^(2)*Pitch of Spiral Reinforcement to calculate the Volume of Core, The Volume of Core in Short Axially Loaded Columns with Helical Ties formula is defined as the volume of the core of the given column. Volume of Core is denoted by V_c symbol.

How to calculate Volume of Core in Short Axially Loaded Columns with Helical Ties using this online calculator? To use this online calculator for Volume of Core in Short Axially Loaded Columns with Helical Ties, enter Diameter of Core (d_c) & Pitch of Spiral Reinforcement (P) and hit the calculate button. Here is how the Volume of Core in Short Axially Loaded Columns with Helical Ties calculation can be explained with given input values -> 176714.6 = (pi/4)*0.15^(2)*0.01.

FAQ

What is Volume of Core in Short Axially Loaded Columns with Helical Ties?

The Volume of Core in Short Axially Loaded Columns with Helical Ties formula is defined as the volume of the core of the given column and is represented as V_c = (pi/4)*d_c^(2)*P or Volume of Core = (pi/4)*Diameter of Core^(2)*Pitch of Spiral Reinforcement. Diameter of core is the diameter of the core of a given spiral reinforcement & Pitch of Spiral Reinforcement gives us a certain amount of flexural reinforcement.

How to calculate Volume of Core in Short Axially Loaded Columns with Helical Ties?

The Volume of Core in Short Axially Loaded Columns with Helical Ties formula is defined as the volume of the core of the given column is calculated using Volume of Core = (pi/4)*Diameter of Core^(2)*Pitch of Spiral Reinforcement. To calculate Volume of Core in Short Axially Loaded Columns with Helical Ties, you need Diameter of Core (d_c) & Pitch of Spiral Reinforcement (P). With our tool, you need to enter the respective value for Diameter of Core & Pitch 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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