Factored Axial Load on Member given Gross Area of Concrete Calculator

✖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 percentage of compression reinforcement is the amount of structural reinforcement which is designed to carry compressive stresses of total gross area of concrete.ⓘ Percentage of Compression Reinforcement [p]			+10% -10%
✖The Characteristic Strength of Steel Reinforcement is the yield strength of steel.ⓘ Characteristic Strength of Steel Reinforcement [f_y]			+10% -10%
✖Gross area of concrete is defined as total cross sectional area of column including reinforcement.ⓘ Gross Area of Concrete [A_g]			+10% -10%

✖Factored Load on Member is the specific factor designated by codes of practice to determine the strength of a structural member such as reinforced concrete.ⓘ Factored Axial Load on Member given Gross Area of Concrete [P_fm]

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Factored Axial Load on Member given Gross Area of Concrete

Formula

`"P"_{"fm"} = (0.4*"f"_{"ck"}+("p"/100)*(0.67*"f"_{"y"}-0.4*"f"_{"ck"}))*"A"_{"g"}`

Example

`"20.805kN"=(0.4*"20MPa"+("2"/100)*(0.67*"450MPa"-0.4*"20MPa"))*"1500mm²"`

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Factored Axial Load on Member given Gross Area of Concrete Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factored Load on Member = (0.4*Characteristic Compressive Strength+(Percentage of Compression Reinforcement/100)*(0.67*Characteristic Strength of Steel Reinforcement-0.4*Characteristic Compressive Strength))*Gross Area of Concrete
P_fm = (0.4*f_ck+(p/100)*(0.67*f_y-0.4*f_ck))*A_g
This formula uses 5 Variables

Variables Used

Factored Load on Member - (Measured in Newton) - Factored Load on Member is the specific factor designated by codes of practice to determine the strength of a structural member such as reinforced concrete.
Characteristic Compressive Strength - (Measured in Pascal) - 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.
Percentage of Compression Reinforcement - The percentage of compression reinforcement is the amount of structural reinforcement which is designed to carry compressive stresses of total gross area of concrete.
Characteristic Strength of Steel Reinforcement - (Measured in Pascal) - The Characteristic Strength of Steel Reinforcement is the yield strength of steel.
Gross Area of Concrete - (Measured in Square Meter) - Gross area of concrete is defined as total cross sectional area of column including reinforcement.

STEP 1: Convert Input(s) to Base Unit

Characteristic Compressive Strength: 20 Megapascal --> 20000000 Pascal (Check conversion here)
Percentage of Compression Reinforcement: 2 --> No Conversion Required
Characteristic Strength of Steel Reinforcement: 450 Megapascal --> 450000000 Pascal (Check conversion here)
Gross Area of Concrete: 1500 Square Millimeter --> 0.0015 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_fm = (0.4*f_ck+(p/100)*(0.67*f_y-0.4*f_ck))*A_g --> (0.4*20000000+(2/100)*(0.67*450000000-0.4*20000000))*0.0015

Evaluating ... ...

P_fm = 20805

STEP 3: Convert Result to Output's Unit

20805 Newton -->20.805 Kilonewton (Check conversion here)

FINAL ANSWER

20.805 Kilonewton <-- Factored Load on Member

(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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Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 9 Short Axially Loaded Tied Columns Calculators

Factored Axial Load on Member given Gross Area of Concrete

Go Factored Load on Member = (0.4*Characteristic Compressive Strength+(Percentage of Compression Reinforcement/100)*(0.67*Characteristic Strength of Steel Reinforcement-0.4*Characteristic Compressive Strength))*Gross Area of Concrete

Gross Area of Concrete given Factored Axial Load on Member

Go Gross Area of Concrete = Factored Load on Member/(0.4*Characteristic Compressive Strength+(Percentage of Compression Reinforcement/100)*(0.67*Characteristic Strength of Steel Reinforcement-0.4*Characteristic Compressive Strength))

Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member

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

Area of Concrete given Factored Axial Load on Member

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

Factored Axial Load on Member

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

Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement

Go Percentage of Compression Reinforcement = Area of Steel Reinforcement in Compression/(Gross Area of Concrete/100)

Area of Longitudinal Reinforcement given Gross Area of Concrete

Go Area of Steel Reinforcement in Compression = Percentage of Compression Reinforcement*Gross Area of Concrete/100

Gross Area of concrete given Area of Longitudinal Reinforcement

Go Gross Area of Concrete = 100*Area of Steel Reinforcement in Compression/Percentage of Compression Reinforcement

Gross Area of Concrete given Area of Concrete

Go Gross Area of Concrete = Area of Concrete/(1-(Percentage of Compression Reinforcement/100))

Factored Axial Load on Member given Gross Area of Concrete Formula

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.

How to calculate the Factored Axial Load?

The factored concentric load applied on short, tied columns is resisted by
the concrete of area Ac and longitudinal steel of areas effectively held by lateral ties at intervals. Assuming the design strengths of concrete and steel are 0.4fck and 0.67fy we calculate the factored axial load.

How to Calculate Factored Axial Load on Member given Gross Area of Concrete?

Factored Axial Load on Member given Gross Area of Concrete calculator uses Factored Load on Member = (0.4*Characteristic Compressive Strength+(Percentage of Compression Reinforcement/100)*(0.67*Characteristic Strength of Steel Reinforcement-0.4*Characteristic Compressive Strength))*Gross Area of Concrete to calculate the Factored Load on Member, The Factored Axial Load on Member given Gross Area of Concrete formula is defined as an axial load multiplied by a certain factor designated by codes of practice to determine the strength of structural members such as reinforced concrete. Factored Load on Member is denoted by P_fm symbol.

How to calculate Factored Axial Load on Member given Gross Area of Concrete using this online calculator? To use this online calculator for Factored Axial Load on Member given Gross Area of Concrete, enter Characteristic Compressive Strength (f_ck), Percentage of Compression Reinforcement (p), Characteristic Strength of Steel Reinforcement (f_y) & Gross Area of Concrete (A_g) and hit the calculate button. Here is how the Factored Axial Load on Member given Gross Area of Concrete calculation can be explained with given input values -> 0.020805 = (0.4*20000000+(2/100)*(0.67*450000000-0.4*20000000))*0.0015.

FAQ

What is Factored Axial Load on Member given Gross Area of Concrete?

The Factored Axial Load on Member given Gross Area of Concrete formula is defined as an axial load multiplied by a certain factor designated by codes of practice to determine the strength of structural members such as reinforced concrete and is represented as P_fm = (0.4*f_ck+(p/100)*(0.67*f_y-0.4*f_ck))*A_g or Factored Load on Member = (0.4*Characteristic Compressive Strength+(Percentage of Compression Reinforcement/100)*(0.67*Characteristic Strength of Steel Reinforcement-0.4*Characteristic Compressive Strength))*Gross Area of Concrete. 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 percentage of compression reinforcement is the amount of structural reinforcement which is designed to carry compressive stresses of total gross area of concrete, The Characteristic Strength of Steel Reinforcement is the yield strength of steel & Gross area of concrete is defined as total cross sectional area of column including reinforcement.

How to calculate Factored Axial Load on Member given Gross Area of Concrete?

The Factored Axial Load on Member given Gross Area of Concrete formula is defined as an axial load multiplied by a certain factor designated by codes of practice to determine the strength of structural members such as reinforced concrete is calculated using Factored Load on Member = (0.4*Characteristic Compressive Strength+(Percentage of Compression Reinforcement/100)*(0.67*Characteristic Strength of Steel Reinforcement-0.4*Characteristic Compressive Strength))*Gross Area of Concrete. To calculate Factored Axial Load on Member given Gross Area of Concrete, you need Characteristic Compressive Strength (f_ck), Percentage of Compression Reinforcement (p), Characteristic Strength of Steel Reinforcement (f_y) & Gross Area of Concrete (A_g). With our tool, you need to enter the respective value for Characteristic Compressive Strength, Percentage of Compression Reinforcement, Characteristic Strength of Steel Reinforcement & Gross Area of Concrete 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 Factored Load on Member?

In this formula, Factored Load on Member uses Characteristic Compressive Strength, Percentage of Compression Reinforcement, Characteristic Strength of Steel Reinforcement & Gross Area of Concrete. We can use 1 other way(s) to calculate the same, which is/are as follows -

Factored Load on Member = (0.4*Characteristic Compressive Strength*Area of Concrete)+(0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)

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