Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns Solution

STEP 0: Pre-Calculation Summary
Formula Used
Characteristic Compressive Strength = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Area of Concrete)
fck = ((Pf/1.05)-0.67*fy*Ast)/(0.4*Ac)
This formula uses 5 Variables
Variables Used
Characteristic Compressive Strength - (Measured in Megapascal) - The Characteristic Compressive Strength is defined as the strength of the concrete below which not more than 5% of the test results are expected to fall.
Factored Load - (Measured in Kilonewton) - The factored load is multiplied by a specific factor designated by codes of practice to determine the strength of a structural member such as reinforced concrete.
Characteristic Strength of Steel Reinforcement - (Measured in Megapascal) - The Characteristic Strength of Steel Reinforcement is the yield strength of steel.
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.
Area of Concrete - (Measured in Square Millimeter) - The Area of Concrete is defined as the concrete area in a beam or column excluding the area of reinforcement.
STEP 1: Convert Input(s) to Base Unit
Factored Load: 583672 Kilonewton --> 583672 Kilonewton No Conversion Required
Characteristic Strength of Steel Reinforcement: 450 Megapascal --> 450 Megapascal No Conversion Required
Area of Steel Reinforcement: 452 Square Millimeter --> 452 Square Millimeter No Conversion Required
Area of Concrete: 52450 Square Millimeter --> 52450 Square Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fck = ((Pf/1.05)-0.67*fy*Ast)/(0.4*Ac) --> ((583672/1.05)-0.67*450*452)/(0.4*52450)
Evaluating ... ...
fck = 20.0000045394707
STEP 3: Convert Result to Output's Unit
20000004.5394707 Pascal -->20.0000045394707 Megapascal (Check conversion here)
FINAL ANSWER
20.0000045394707 20 Megapascal <-- Characteristic Compressive Strength
(Calculation completed in 00.020 seconds)

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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)

Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns Formula

Characteristic Compressive Strength = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Area of Concrete)
fck = ((Pf/1.05)-0.67*fy*Ast)/(0.4*Ac)

What is the Compressive Strength of Concrete?

Strength of hardened concrete is measured by the compression test. The compression strength of concrete is a measure of the concrete's ability to resist loads which tend to compress it. The compressive strength of concrete is measured by crushing cylindrical concrete specimens in a compression testing machine.

What is a Factored Load & Spiral Columns?

Whenever we are designing an RCC SLAB, we will be calculating the dead load and live load. Before finding out the ultimate bending moment, we shall find out the total of 1.5 DL+2.2 LL and this is called as factored loads and the ultimate bending moment will be calculated.
When the transverse reinforcement 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 Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns?

Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns calculator uses Characteristic Compressive Strength = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Area of Concrete) to calculate the Characteristic Compressive Strength, The Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns formula is defined as the compressive strength of concrete, as concrete has maximum compressive strength and is its unique feature. Characteristic Compressive Strength is denoted by fck symbol.

How to calculate Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns using this online calculator? To use this online calculator for Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns, enter Factored Load (Pf), Characteristic Strength of Steel Reinforcement (fy), Area of Steel Reinforcement (Ast) & Area of Concrete (Ac) and hit the calculate button. Here is how the Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns calculation can be explained with given input values -> 2E-5 = ((583672000/1.05)-0.67*450000000*0.000452)/(0.4*0.05245).

FAQ

What is Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns?
The Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns formula is defined as the compressive strength of concrete, as concrete has maximum compressive strength and is its unique feature and is represented as fck = ((Pf/1.05)-0.67*fy*Ast)/(0.4*Ac) or Characteristic Compressive Strength = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Area of Concrete). The factored load is multiplied by a specific factor designated by codes of practice to determine the strength of a structural member such as reinforced concrete, The Characteristic Strength of Steel Reinforcement is the yield strength of steel, 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 & The Area of Concrete is defined as the concrete area in a beam or column excluding the area of reinforcement.
How to calculate Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns?
The Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns formula is defined as the compressive strength of concrete, as concrete has maximum compressive strength and is its unique feature is calculated using Characteristic Compressive Strength = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Area of Concrete). To calculate Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns, you need Factored Load (Pf), Characteristic Strength of Steel Reinforcement (fy), Area of Steel Reinforcement (Ast) & Area of Concrete (Ac). With our tool, you need to enter the respective value for Factored Load, Characteristic Strength of Steel Reinforcement, Area of Steel Reinforcement & Area of Concrete 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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