Area of Cross-section of Spiral Reinforcement given Volume Calculator

✖Volume of helical reinforcement is defined as the volume of the given helical structure.ⓘ Volume of Helical Reinforcement [V_h]			+10% -10%
✖Diameter of core is the diameter of the core of a given spiral reinforcement.ⓘ Diameter of Core [d_c]			+10% -10%
✖The diameter of spiral reinforcement is the diameter of the given spirally reinforced structure.ⓘ Diameter of Spiral Reinforcement [Φ]			+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 Cross-section of Spiral Reinforcement given Volume [A_st]

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Area of Cross-section of Spiral Reinforcement given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Steel Reinforcement = Volume of Helical Reinforcement/(pi*(Diameter of Core-Diameter of Spiral Reinforcement))
A_st = V_h/(pi*(d_c-Φ))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Volume of Helical Reinforcement: 191700 Cubic Meter --> 191700 Cubic Meter No Conversion Required
Diameter of Core: 150 Millimeter --> 150 Millimeter No Conversion Required
Diameter of Spiral Reinforcement: 15 Millimeter --> 15 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_st = V_h/(pi*(d_c-Φ)) --> 191700/(pi*(150-15))

Evaluating ... ...

A_st = 452.000038380983

STEP 3: Convert Result to Output's Unit

0.000452000038380983 Square Meter -->452.000038380983 Square Millimeter (Check conversion here)

FINAL ANSWER

452.000038380983 ≈ 452 Square Millimeter <-- Area of Steel Reinforcement

(Calculation completed in 00.004 seconds)

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Vellore Institute of Technology, Vellore (VIT, Vellore), Vellore

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Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX Go Factored Load = 1.05*(0.4*Characteristic Compressive Strength*Area of Concrete+0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)

Area of Cross-section of Spiral Reinforcement given Volume Formula

LaTeX Go

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

What is the purpose of Spiral Reinforcement?

Spiral reinforcement helps to place the longitudinal reinforcement in an appropriate position like proper spacing between two bars. Spiral reinforcement contributes to binding the longitudinal reinforcements, making the column stiff against buckling due to axial loading or eccentric moment or lateral loading. Spiral reinforcement provides resistance against shear in column, though shear is small in magnitude.

What are Spiral Columns?

When the transverse reinforcement it is used in the form of helical hoops then it is known as a spirally reinforced column. The longitudinal reinforcement bars are arranged in the spiral column by a closely spaced continuous spiral. The spiral columns are usually circular in shape.

How to Calculate Area of Cross-section of Spiral Reinforcement given Volume?

Area of Cross-section of Spiral Reinforcement given Volume calculator uses Area of Steel Reinforcement = Volume of Helical Reinforcement/(pi*(Diameter of Core-Diameter of Spiral Reinforcement)) to calculate the Area of Steel Reinforcement, The Area of Cross-section of Spiral Reinforcement given Volume is defined as the area of a section of a given spiral reinforcement influencing the volume of helical reinforcement in one loop . Area of Steel Reinforcement is denoted by A_st symbol.

How to calculate Area of Cross-section of Spiral Reinforcement given Volume using this online calculator? To use this online calculator for Area of Cross-section of Spiral Reinforcement given Volume, enter Volume of Helical Reinforcement (V_h), Diameter of Core (d_c) & Diameter of Spiral Reinforcement (Φ) and hit the calculate button. Here is how the Area of Cross-section of Spiral Reinforcement given Volume calculation can be explained with given input values -> 4.5E+8 = 191700/(pi*(0.15-0.015)).

FAQ

What is Area of Cross-section of Spiral Reinforcement given Volume?

The Area of Cross-section of Spiral Reinforcement given Volume is defined as the area of a section of a given spiral reinforcement influencing the volume of helical reinforcement in one loop and is represented as A_st = V_h/(pi*(d_c-Φ)) or Area of Steel Reinforcement = Volume of Helical Reinforcement/(pi*(Diameter of Core-Diameter of Spiral Reinforcement)). Volume of helical reinforcement is defined as the volume of the given helical structure, 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.

How to calculate Area of Cross-section of Spiral Reinforcement given Volume?

The Area of Cross-section of Spiral Reinforcement given Volume is defined as the area of a section of a given spiral reinforcement influencing the volume of helical reinforcement in one loop is calculated using Area of Steel Reinforcement = Volume of Helical Reinforcement/(pi*(Diameter of Core-Diameter of Spiral Reinforcement)). To calculate Area of Cross-section of Spiral Reinforcement given Volume, you need Volume of Helical Reinforcement (V_h), Diameter of Core (d_c) & Diameter of Spiral Reinforcement (Φ). With our tool, you need to enter the respective value for Volume of Helical Reinforcement, Diameter of Core & 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 Area of Steel Reinforcement?

In this formula, Area of Steel Reinforcement uses Volume of Helical Reinforcement, Diameter of Core & Diameter of Spiral Reinforcement. We can use 1 other way(s) to calculate the same, which is/are as follows -

Area of Steel Reinforcement = (((Factored Load)/(1.05))-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Characteristic Strength of Steel Reinforcement)

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