Factored Axial Load on Member 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 Area of Concrete is defined as the concrete area in a beam or column excluding the area of reinforcement.ⓘ Area of Concrete [A_c]			+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%

✖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 [P_fm]

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Formula

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Factored Axial Load on Member

Formula

`"P"_{"fm"} = (0.4*"f"_{"ck"}*"A"_{"c"})+(0.67*"f"_{"y"}*"A"_{"st"})`

Example

`"555.878kN"=(0.4*"20MPa"*"52450mm²")+(0.67*"450MPa"*"452mm²")`

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Download Short Axially Loaded Columns with Helical Ties Formulas PDF

Factored Axial Load on Member Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factored Load on Member = (0.4*Characteristic Compressive Strength*Area of Concrete)+(0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)
P_fm = (0.4*f_ck*A_c)+(0.67*f_y*A_st)
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 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

P_fm = (0.4*f_ck*A_c)+(0.67*f_y*A_st) --> (0.4*20*52450)+(0.67*450*452)

Evaluating ... ...

P_fm = 555878

STEP 3: Convert Result to Output's Unit

555878 Newton -->555.878 Kilonewton (Check conversion here)

FINAL ANSWER

555.878 Kilonewton <-- Factored Load on Member

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Columns » Short Axially Loaded Columns with Helical Ties » Short Axially Loaded Tied Columns » Factored Axial Load on Member

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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 Formula

What is Axial Load?

An axial load is any force whether tensile or compressive in nature acting parallel to the centroidal / longitudinal axis of the member.

If an axial load coincides with centroidal axis of the member then it is called concentric axial load and if an axial load is at a distance from the axis then it is called eccentric axial load.

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?

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

How to calculate Factored Axial Load on Member using this online calculator? To use this online calculator for Factored Axial Load on Member, enter Characteristic Compressive Strength (f_ck), Area of Concrete (A_c), Characteristic Strength of Steel Reinforcement (f_y) & Area of Steel Reinforcement (A_st) and hit the calculate button. Here is how the Factored Axial Load on Member calculation can be explained with given input values -> 0.555878 = (0.4*20000000*0.05245)+(0.67*450000000*0.000452).

FAQ

What is Factored Axial Load on Member?

The Factored Axial Load on Member formula is defined as an axial load multiplied by a certain factor designated by codes of practice to determine the strength of a structural members such as reinforced concrete and is represented as P_fm = (0.4*f_ck*A_c)+(0.67*f_y*A_st) or Factored Load on Member = (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?

The Factored Axial Load on Member formula is defined as an axial load multiplied by a certain factor designated by codes of practice to determine the strength of a structural members such as reinforced concrete is calculated using Factored Load on Member = (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, you need Characteristic Compressive Strength (f_ck), Area of Concrete (A_c), Characteristic Strength of Steel Reinforcement (f_y) & Area of Steel Reinforcement (A_st). 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.

How many ways are there to calculate Factored Load on Member?

In this formula, Factored Load on Member uses Characteristic Compressive Strength, Area of Concrete, Characteristic Strength of Steel Reinforcement & Area of Steel Reinforcement. 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+(Percentage of Compression Reinforcement/100)*(0.67*Characteristic Strength of Steel Reinforcement-0.4*Characteristic Compressive Strength))*Gross Area of Concrete

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