Area of Cross-section of Spiral Reinforcement given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of cross section of spiral reinforcement = Volume of helical reinforcement/pi*(Diameter of core-Diameter of spiral reinforcement)
Asp = Vh/pi*(Dc-Φsp)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Area of cross section of spiral reinforcement - (Measured in Square Meter) - Area of cross section of spiral reinforcement is defined as the cross-sectional area of spiral or hoop.
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 Meter) - Diameter of core is the diameter of the core of a given spiral reinforcement.
Diameter of spiral reinforcement - (Measured in Meter) - 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: 100 Cubic Meter --> 100 Cubic Meter No Conversion Required
Diameter of core: 100 Meter --> 100 Meter No Conversion Required
Diameter of spiral reinforcement: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Asp = Vh/pi*(Dcsp) --> 100/pi*(100-10)
Evaluating ... ...
Asp = 2864.78897565412
STEP 3: Convert Result to Output's Unit
2864.78897565412 Square Meter --> No Conversion Required
FINAL ANSWER
2864.78897565412 Square Meter <-- Area of cross section of spiral reinforcement
(Calculation completed in 00.021 seconds)

Credits

Created by Pranav More
Vellore Institute of Technology, Vellore (VIT, Vellore), Vellore
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10+ Short Axially Loaded Columns with Helical Ties Calculators

Area of longitudinal reinforcement for columns given factored axial load in spiral columns
Area of longitudinal reinforcement for columns = (((Factored axial load)/(1.05))-(0.4*Characteristic compressive strength*Area of concrete))/(0.67*Characteristic strength compressive reinforcement) Go
Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns
Characteristic strength compressive reinforcement = ((Factored axial load/1.05)-(0.4*Characteristic compressive strength*Area of concrete))/(0.67*Area of longitudinal reinforcement for columns) Go
Characteristic compressive strength of concrete given factored axial load in spiral columns
Characteristic compressive strength = (0.95*Factored axial load-0.67*Characteristic strength compressive reinforcement*Area of longitudinal reinforcement for columns)/(0.4*Area of concrete) Go
Area of concrete given factored axial load in spiral columns
Area of concrete = (0.95*Factored axial load-0.67*Characteristic strength compressive reinforcement*Area of longitudinal reinforcement for columns)/(0.4*Characteristic compressive strength) Go
Factored Axial Load on Member of Spiral Columns
Factored Load = 1.05*(0.4*Characteristic compressive strength*Area of concrete+0.67*Characteristic strength compressive reinforcement*Area of longitudinal reinforcement for columns) Go
Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop
Diameter of spiral reinforcement = Diameter of core-((Volume of helical reinforcement)/(pi*Area of cross section of spiral reinforcement)) Go
Diameter of Core given Volume of Helical Reinforcement in one Loop
Diameter of core = ((Volume of helical reinforcement)/(pi*Area of cross section of spiral reinforcement))+Diameter of spiral reinforcement Go
Area of Cross-section of Spiral Reinforcement given Volume
Area of cross section of spiral reinforcement = Volume of helical reinforcement/pi*(Diameter of core-Diameter of spiral reinforcement) Go
Volume of helical reinforcement in one loop
Volume of helical reinforcement = pi*(Diameter of core-Diameter of spiral reinforcement)*Area of cross section of spiral reinforcement Go
Volume of core in Short Axially Loaded Columns with Helical Ties
Volume of core = (pi/4)*((Diameter of core)^(2))*Pitch of spiral reinforcement Go

Area of Cross-section of Spiral Reinforcement given Volume Formula

Area of cross section of spiral reinforcement = Volume of helical reinforcement/pi*(Diameter of core-Diameter of spiral reinforcement)
Asp = Vh/pi*(Dc-Φsp)

What is the purpose of spiral reinforcement?

Spiral reinforcement help to place the longitudinal reinforcement in appropriate position like proper spacing between two bars. Spiral reinforcement contribute to bind the longitudinal reinforcements, make 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.

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 cross section of spiral reinforcement = Volume of helical reinforcement/pi*(Diameter of core-Diameter of spiral reinforcement) to calculate the Area of cross section of spiral 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 cross section of spiral reinforcement is denoted by Asp 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 (Vh), Diameter of core (Dc) & Diameter of spiral reinforcement sp) 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 -> 2864.789 = 100/pi*(100-10).

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 Asp = Vh/pi*(Dc-Φsp) or Area of cross section of spiral 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 & 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 cross section of spiral 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 (Vh), Diameter of core (Dc) & Diameter of spiral reinforcement sp). 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.
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