Area of longitudinal reinforcement for columns given factored axial load in spiral columns Calculator

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✖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.ⓘ Factored axial load [P_u]			+10% -10%
✖Characteristic compressive strength is the definite theoretical value of the material in which, when the material has actually tested the probability of getting higher results.ⓘ Characteristic compressive strength [F_ck]			+10% -10%
✖Area of concrete is defined as concrete area in beam or column excluding reinforcement.ⓘ Area of concrete [A_c]			+10% -10%
✖Characteristic strength compressive reinforcement is the strength of compressive reinforcement.ⓘ Characteristic strength compressive reinforcement [f_y]			+10% -10%

✖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.ⓘ Area of longitudinal reinforcement for columns given factored axial load in spiral columns [A_sc]

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Area of longitudinal reinforcement for columns given factored axial load in spiral columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
A_sc = (((P_u)/(1.05))-(0.4*F_ck*A_c))/(0.67*f_y)
This formula uses 5 Variables

Variables Used

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.
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) - Characteristic compressive strength is the definite theoretical value of the material in which, when the material has actually tested the probability of getting higher results.
Area of concrete - (Measured in Square Meter) - Area of concrete is defined as concrete area in beam or column excluding reinforcement.
Characteristic strength compressive reinforcement - (Measured in Pascal) - Characteristic strength compressive reinforcement is the strength of compressive reinforcement.

STEP 1: Convert Input(s) to Base Unit

Factored axial load: 3000 Kilonewton --> 3000000 Newton (Check conversion here)
Characteristic compressive strength: 25000 Pascal --> 25000 Pascal No Conversion Required
Area of concrete: 1000 Square Millimeter --> 0.001 Square Meter (Check conversion here)
Characteristic strength compressive reinforcement: 20000 Pascal --> 20000 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_sc = (((P_u)/(1.05))-(0.4*F_ck*A_c))/(0.67*f_y) --> (((3000000)/(1.05))-(0.4*25000*0.001))/(0.67*20000)

Evaluating ... ...

A_sc = 213.218869936034

STEP 3: Convert Result to Output's Unit

213.218869936034 Square Meter -->213218869.936034 Square Millimeter (Check conversion here)

FINAL ANSWER

213218869.936034 Square Millimeter <-- Area of longitudinal reinforcement for columns

(Calculation completed in 00.031 seconds)

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Home » Engineering » Civil » Columns » Short Axially Loaded Columns with Helical Ties » Area of longitudinal reinforcement for columns given factored axial load in spiral columns

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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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< 10+ Short Axially Loaded Columns with Helical Ties Calculators

Area of longitudinal reinforcement for columns given factored axial load in spiral columns

Characteristic strength of the 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 the Member of the 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 the spiral reinforcement in terms of 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 the core in terms of 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 when Volume is established

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

Area of longitudinal reinforcement for columns given factored axial load in spiral columns Formula

What is longitudinal reinforcement?

Longitudinal reinforcement is the absorption of bending tensile stresses in the longitudinal direction of the main support direction of the structural component.

How to Calculate Area of longitudinal reinforcement for columns given factored axial load in spiral columns?

Area of longitudinal reinforcement for columns given factored axial load in spiral columns calculator uses 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) to calculate the Area of longitudinal reinforcement for columns, The Area of longitudinal reinforcement for columns given factored axial load in spiral columns formula is defined as the area covered by the reinforcement. Area of longitudinal reinforcement for columns is denoted by A_sc symbol.

How to calculate Area of longitudinal reinforcement for columns given factored axial load in spiral columns using this online calculator? To use this online calculator for Area of longitudinal reinforcement for columns given factored axial load in spiral columns, enter Factored axial load (P_u), Characteristic compressive strength (F_ck), Area of concrete (A_c) & Characteristic strength compressive reinforcement (f_y) and hit the calculate button. Here is how the Area of longitudinal reinforcement for columns given factored axial load in spiral columns calculation can be explained with given input values -> 2.1E+8 = (((3000000)/(1.05))-(0.4*25000*0.001))/(0.67*20000).

FAQ

What is Area of longitudinal reinforcement for columns given factored axial load in spiral columns?

The Area of longitudinal reinforcement for columns given factored axial load in spiral columns formula is defined as the area covered by the reinforcement and is represented as A_sc = (((P_u)/(1.05))-(0.4*F_ck*A_c))/(0.67*f_y) or 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). 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 is the definite theoretical value of the material in which, when the material has actually tested the probability of getting higher results, Area of concrete is defined as concrete area in beam or column excluding reinforcement & Characteristic strength compressive reinforcement is the strength of compressive reinforcement.

How to calculate Area of longitudinal reinforcement for columns given factored axial load in spiral columns?

The Area of longitudinal reinforcement for columns given factored axial load in spiral columns formula is defined as the area covered by the reinforcement is calculated using 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). To calculate Area of longitudinal reinforcement for columns given factored axial load in spiral columns, you need Factored axial load (P_u), Characteristic compressive strength (F_ck), Area of concrete (A_c) & Characteristic strength compressive reinforcement (f_y). With our tool, you need to enter the respective value for Factored axial load, Characteristic compressive strength, Area of concrete & Characteristic strength compressive 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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