Factored Axial Load on Member of Spiral Columns Solution

STEP 0: Pre-Calculation Summary
Formula Used
Factored Load = 1.05*(0.4*Characteristic Compressive Strength*Area of Concrete+0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)
Pf = 1.05*(0.4*fck*Ac+0.67*fy*Ast)
This formula uses 5 Variables
Variables Used
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 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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Characteristic Compressive Strength: 20 Megapascal --> 20 Megapascal No Conversion Required
Area of Concrete: 52450 Square Millimeter --> 52450 Square Millimeter 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pf = 1.05*(0.4*fck*Ac+0.67*fy*Ast) --> 1.05*(0.4*20*52450+0.67*450*452)
Evaluating ... ...
Pf = 583671.9
STEP 3: Convert Result to Output's Unit
583671900 Newton -->583671.9 Kilonewton (Check conversion here)
FINAL ANSWER
583671.9 Kilonewton <-- Factored Load
(Calculation completed in 00.020 seconds)

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Created by Pranav More
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)

Factored Axial Load on Member of Spiral Columns Formula

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

What is a Factored Load?

Whenever we are designing a 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 ultimate bending moment will be calculated.

What are Spiral Columns?

When the transverse reinforcement it is used in the form of helical hoops then it is known as 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 Factored Axial Load on Member of Spiral Columns?

Factored Axial Load on Member of Spiral Columns calculator uses Factored Load = 1.05*(0.4*Characteristic Compressive Strength*Area of Concrete+0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement) to calculate the Factored Load, The Factored Axial Load on Member of Spiral Columns formula is defined as the force acting on an object, parallel and on its axis. Factored Load is denoted by Pf symbol.

How to calculate Factored Axial Load on Member of Spiral Columns using this online calculator? To use this online calculator for Factored Axial Load on Member of Spiral Columns, enter Characteristic Compressive Strength (fck), Area of Concrete (Ac), Characteristic Strength of Steel Reinforcement (fy) & Area of Steel Reinforcement (Ast) and hit the calculate button. Here is how the Factored Axial Load on Member of Spiral Columns calculation can be explained with given input values -> 583.6719 = 1.05*(0.4*20000000*0.05245+0.67*450000000*0.000452).

FAQ

What is Factored Axial Load on Member of Spiral Columns?
The Factored Axial Load on Member of Spiral Columns formula is defined as the force acting on an object, parallel and on its axis and is represented as Pf = 1.05*(0.4*fck*Ac+0.67*fy*Ast) or Factored Load = 1.05*(0.4*Characteristic Compressive Strength*Area of Concrete+0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement). 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, The Area of Concrete is defined as the concrete area in a beam or column excluding the area of reinforcement, 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.
How to calculate Factored Axial Load on Member of Spiral Columns?
The Factored Axial Load on Member of Spiral Columns formula is defined as the force acting on an object, parallel and on its axis is calculated using Factored Load = 1.05*(0.4*Characteristic Compressive Strength*Area of Concrete+0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement). To calculate Factored Axial Load on Member of Spiral Columns, you need Characteristic Compressive Strength (fck), Area of Concrete (Ac), Characteristic Strength of Steel Reinforcement (fy) & Area of Steel Reinforcement (Ast). With our tool, you need to enter the respective value for Characteristic Compressive Strength, Area of Concrete, Characteristic Strength of Steel 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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