Area of Concrete given Factored Axial Load Calculator

✖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.ⓘ Factored Load [P_f]			+10% -10%
✖The Characteristic Strength of Steel Reinforcement is the yield strength of steel.ⓘ Characteristic Strength of Steel Reinforcement [f_y]			+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 Steel Reinforcement [A_st]			+10% -10%
✖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.ⓘ Characteristic Compressive Strength [f_ck]			+10% -10%

✖The Area of Concrete is defined as the concrete area in a beam or column excluding the area of reinforcement.ⓘ Area of Concrete given Factored Axial Load [A_c]

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Formula

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Area of Concrete given Factored Axial Load

Formula

`"A"_{"c"} = (("P"_{"f"}/1.05)-0.67*"f"_{"y"}*"A"_{"st"})/(0.4*"f"_{"ck"})`

Example

`"52450.01mm²"=(("583672kN"/1.05)-0.67*"450MPa"*"452mm²")/(0.4*"20MPa")`

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Area of Concrete given Factored Axial Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Concrete = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Characteristic Compressive Strength)
A_c = ((P_f/1.05)-0.67*f_y*A_st)/(0.4*f_ck)
This formula uses 5 Variables

Variables Used

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.
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.
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.

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
Characteristic Compressive Strength: 20 Megapascal --> 20 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_c = ((P_f/1.05)-0.67*f_y*A_st)/(0.4*f_ck) --> ((583672/1.05)-0.67*450*452)/(0.4*20)

Evaluating ... ...

A_c = 52450.0119047619

STEP 3: Convert Result to Output's Unit

0.0524500119047619 Square Meter -->52450.0119047619 Square Millimeter (Check conversion here)

FINAL ANSWER

52450.0119047619 ≈ 52450.01 Square Millimeter <-- Area of Concrete

(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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< 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)

Area of Concrete given Factored Axial Load Formula

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.

What is a Factored Load?

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 ultimate bending moment will be calculated.

How to Calculate Area of Concrete given Factored Axial Load?

Area of Concrete given Factored Axial Load calculator uses Area of Concrete = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Characteristic Compressive Strength) to calculate the Area of Concrete, the Area of Concrete given Factored Axial Load formula is defined as the area of the concrete given axial load and characteristics compressive strength. Area of Concrete is denoted by A_c symbol.

How to calculate Area of Concrete given Factored Axial Load using this online calculator? To use this online calculator for Area of Concrete given Factored Axial Load, enter Factored Load (P_f), Characteristic Strength of Steel Reinforcement (f_y), Area of Steel Reinforcement (A_st) & Characteristic Compressive Strength (f_ck) and hit the calculate button. Here is how the Area of Concrete given Factored Axial Load calculation can be explained with given input values -> 5.2E+10 = ((583672000/1.05)-0.67*450000000*0.000452)/(0.4*20000000).

FAQ

What is Area of Concrete given Factored Axial Load?

the Area of Concrete given Factored Axial Load formula is defined as the area of the concrete given axial load and characteristics compressive strength and is represented as A_c = ((P_f/1.05)-0.67*f_y*A_st)/(0.4*f_ck) or Area of Concrete = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Characteristic Compressive Strength). 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 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.

How to calculate Area of Concrete given Factored Axial Load?

the Area of Concrete given Factored Axial Load formula is defined as the area of the concrete given axial load and characteristics compressive strength is calculated using Area of Concrete = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Characteristic Compressive Strength). To calculate Area of Concrete given Factored Axial Load, you need Factored Load (P_f), Characteristic Strength of Steel Reinforcement (f_y), Area of Steel Reinforcement (A_st) & Characteristic Compressive Strength (f_ck). With our tool, you need to enter the respective value for Factored Load, Characteristic Strength of Steel Reinforcement, Area of Steel Reinforcement & Characteristic Compressive Strength 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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