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)
fy = ((Pf/1.05)-(0.4*fck*Ac))/(0.67*Ast)
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
fy = ((Pf/1.05)-(0.4*fck*Ac))/(0.67*Ast) --> ((583672/1.05)-(0.4*20*52450))/(0.67*452)
Evaluating ... ...
fy = 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 00.004 seconds)

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Short Axially Loaded Columns with Helical Ties Calculators

Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Factored Load = 1.05*(0.4*Characteristic Compressive Strength*Area of Concrete+0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)

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

​LaTeX ​Go
Characteristic Strength of Steel Reinforcement = ((Factored Load/1.05)-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Area of Steel Reinforcement)
fy = ((Pf/1.05)-(0.4*fck*Ac))/(0.67*Ast)

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 fy 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 (Pf), Characteristic Compressive Strength (fck), Area of Concrete (Ac) & Area of Steel Reinforcement (Ast) 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 fy = ((Pf/1.05)-(0.4*fck*Ac))/(0.67*Ast) 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 (Pf), Characteristic Compressive Strength (fck), Area of Concrete (Ac) & Area of Steel Reinforcement (Ast). 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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