Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns 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 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 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 Strength of Steel Reinforcement is the yield strength of steel.ⓘ Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns [f_y]

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Formula

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Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns

Formula

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

Example

`"450.0003MPa"=(("583672kN"/1.05)-(0.4*"20MPa"*"52450mm²"))/(0.67*"452mm²")`

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Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Characteristic Strength of Steel Reinforcement - (Measured in Megapascal) - The Characteristic Strength of Steel Reinforcement is the yield strength of steel.
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.
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

Factored Load: 583672 Kilonewton --> 583672 Kilonewton No Conversion Required
Characteristic Compressive Strength: 20 Megapascal --> 20 Megapascal No Conversion Required
Area of Concrete: 52450 Square Millimeter --> 52450 Square Millimeter 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

f_y = ((P_f/1.05)-(0.4*f_ck*A_c))/(0.67*A_st) --> ((583672/1.05)-(0.4*20*52450))/(0.67*452)

Evaluating ... ...

f_y = 450.00031448321

STEP 3: Convert Result to Output's Unit

450000314.48321 Pascal -->450.00031448321 Megapascal (Check conversion here)

FINAL ANSWER

450.00031448321 ≈ 450.0003 Megapascal <-- Characteristic Strength of Steel Reinforcement

(Calculation completed in 00.005 seconds)

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Created by Pranav More

Vellore Institute of Technology, Vellore (VIT, Vellore), Vellore

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Coorg Institute of Technology (CIT), Coorg

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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 Strength of Compression Reinforcement given Factored Load in Spiral Columns Formula

What is 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 Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns?

Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns calculator uses Characteristic Strength of Steel Reinforcement = ((Factored Load/1.05)-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Area of Steel Reinforcement) to calculate the Characteristic Strength of Steel Reinforcement, The Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns formula is defined as the strength of compressive reinforcement. Characteristic Strength of Steel Reinforcement is denoted by f_y symbol.

How to calculate Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns using this online calculator? To use this online calculator for Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns, enter Factored Load (P_f), Characteristic Compressive Strength (f_ck), Area of Concrete (A_c) & Area of Steel Reinforcement (A_st) and hit the calculate button. Here is how the Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns calculation can be explained with given input values -> 0.00045 = ((583672000/1.05)-(0.4*20000000*0.05245))/(0.67*0.000452).

FAQ

What is Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns?

The Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns formula is defined as the strength of compressive reinforcement and is represented as f_y = ((P_f/1.05)-(0.4*f_ck*A_c))/(0.67*A_st) or Characteristic Strength of Steel Reinforcement = ((Factored Load/1.05)-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Area of Steel Reinforcement). 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 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 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 Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns?

The Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns formula is defined as the strength of compressive reinforcement is calculated using Characteristic Strength of Steel Reinforcement = ((Factored Load/1.05)-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Area of Steel Reinforcement). To calculate Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns, you need Factored Load (P_f), Characteristic Compressive Strength (f_ck), Area of Concrete (A_c) & Area of Steel Reinforcement (A_st). With our tool, you need to enter the respective value for Factored Load, Characteristic Compressive Strength, Area of Concrete & 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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