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

STEP 0: Pre-Calculation Summary
Formula Used
Characteristic strength compressive reinforcement = ((Factored axial load/1.05)-(0.4*Characteristic compressive strength*Area of concrete))/(0.67*Area of longitudinal reinforcement for columns)
fy = ((Pu/1.05)-(0.4*fck*Ac))/(0.67*Asc)
This formula uses 5 Variables
Variables Used
Characteristic strength compressive reinforcement - (Measured in Pascal) - Characteristic strength compressive reinforcement is the strength of compressive reinforcement.
Factored axial load - (Measured in Newton) - A factored axial load is defined as an axial load multiplied by a certain factor designated by codes of practice to drermine the strength of a structural members 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.
Area of concrete - (Measured in Square Meter) - Area of concrete is defined as concrete area in beam or column excluding reinforcement.
Area of longitudinal reinforcement for columns - (Measured in Square Meter) - Area of longitudinal reinforcement for columns is defined as 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 axial load: 3000 Kilonewton --> 3000000 Newton (Check conversion here)
Characteristic compressive strength: 20 Megapascal --> 20000000 Pascal (Check conversion here)
Area of concrete: 1000 Square Millimeter --> 0.001 Square Meter (Check conversion here)
Area of longitudinal reinforcement for columns: 2000 Square Millimeter --> 0.002 Square Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fy = ((Pu/1.05)-(0.4*fck*Ac))/(0.67*Asc) --> ((3000000/1.05)-(0.4*20000000*0.001))/(0.67*0.002)
Evaluating ... ...
fy = 2126226012.79318
STEP 3: Convert Result to Output's Unit
2126226012.79318 Pascal --> No Conversion Required
FINAL ANSWER
2126226012.79318 Pascal <-- Characteristic strength compressive reinforcement
(Calculation completed in 00.031 seconds)

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Vellore Institute of Technology, Vellore (VIT, Vellore), Vellore
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10+ Short Axially Loaded Columns with Helical Ties Calculators

Area of longitudinal reinforcement for columns given factored axial load in spiral columns
Area of longitudinal reinforcement for columns = (((Factored axial load)/(1.05))-(0.4*Characteristic compressive strength*Area of concrete))/(0.67*Characteristic strength compressive reinforcement) Go
Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns
Characteristic strength compressive reinforcement = ((Factored axial load/1.05)-(0.4*Characteristic compressive strength*Area of concrete))/(0.67*Area of longitudinal reinforcement for columns) Go
Characteristic compressive strength of concrete given factored axial load in spiral columns
Characteristic compressive strength = (0.95*Factored axial load-0.67*Characteristic strength compressive reinforcement*Area of longitudinal reinforcement for columns)/(0.4*Area of concrete) Go
Area of concrete given factored axial load in spiral columns
Area of concrete = (0.95*Factored axial load-0.67*Characteristic strength compressive reinforcement*Area of longitudinal reinforcement for columns)/(0.4*Characteristic compressive strength) Go
Factored Axial Load on Member of Spiral Columns
Factored Load = 1.05*(0.4*Characteristic compressive strength*Area of concrete+0.67*Characteristic strength compressive reinforcement*Area of longitudinal reinforcement for columns) Go
Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop
Diameter of spiral reinforcement = Diameter of core-((Volume of helical reinforcement)/(pi*Area of cross section of spiral reinforcement)) Go
Diameter of Core given Volume of Helical Reinforcement in one Loop
Diameter of core = ((Volume of helical reinforcement)/(pi*Area of cross section of spiral reinforcement))+Diameter of spiral reinforcement Go
Area of Cross-section of Spiral Reinforcement given Volume
Area of cross section of spiral reinforcement = Volume of helical reinforcement/pi*(Diameter of core-Diameter of spiral reinforcement) Go
Volume of helical reinforcement in one loop
Volume of helical reinforcement = pi*(Diameter of core-Diameter of spiral reinforcement)*Area of cross section of spiral reinforcement Go
Volume of core in Short Axially Loaded Columns with Helical Ties
Volume of core = (pi/4)*((Diameter of core)^(2))*Pitch of spiral reinforcement Go

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

Characteristic strength compressive reinforcement = ((Factored axial load/1.05)-(0.4*Characteristic compressive strength*Area of concrete))/(0.67*Area of longitudinal reinforcement for columns)
fy = ((Pu/1.05)-(0.4*fck*Ac))/(0.67*Asc)

What is factored load?

A factored axial load 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.

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 compressive reinforcement = ((Factored axial load/1.05)-(0.4*Characteristic compressive strength*Area of concrete))/(0.67*Area of longitudinal reinforcement for columns) to calculate the Characteristic strength compressive reinforcement, The Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns formula is defined as the strength of compressive reinforcement. Characteristic strength compressive 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 axial load (Pu), Characteristic compressive strength (fck), Area of concrete (Ac) & Area of longitudinal reinforcement for columns (Asc) 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 -> 2.1E+9 = ((3000000/1.05)-(0.4*20000000*0.001))/(0.67*0.002).

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 = ((Pu/1.05)-(0.4*fck*Ac))/(0.67*Asc) or Characteristic strength compressive reinforcement = ((Factored axial load/1.05)-(0.4*Characteristic compressive strength*Area of concrete))/(0.67*Area of longitudinal reinforcement for columns). A factored axial load is defined as an axial load multiplied by a certain factor designated by codes of practice to drermine the strength of a structural members 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, Area of concrete is defined as concrete area in beam or column excluding reinforcement & Area of longitudinal reinforcement for columns is defined as 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 compressive reinforcement = ((Factored axial load/1.05)-(0.4*Characteristic compressive strength*Area of concrete))/(0.67*Area of longitudinal reinforcement for columns). To calculate Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns, you need Factored axial load (Pu), Characteristic compressive strength (fck), Area of concrete (Ac) & Area of longitudinal reinforcement for columns (Asc). With our tool, you need to enter the respective value for Factored axial load, Characteristic compressive strength, Area of concrete & Area of longitudinal reinforcement for columns 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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