Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Allowable Stress in Vertical Reinforcement = (Allowable Load/Gross Area of Column-0.25*Specified Compressive Strength at 28 Days)/Area Ratio of Cross Sectional Area to Gross Area
f's = (Pallow/Ag-0.25*f'c)/pg
This formula uses 5 Variables
Variables Used
Allowable Stress in Vertical Reinforcement - (Measured in Pascal) - Allowable Stress in Vertical Reinforcement is equal to 40 percent of the minimum yield strength, but not to exceed 30,000 lb/sq.in(207 MPa).
Allowable Load - (Measured in Newton) - Allowable load is the maximum working load that can be applied on the structure.
Gross Area of Column - (Measured in Square Meter) - Gross Area of Column is the total area enclosed by the column.
Specified Compressive Strength at 28 Days - (Measured in Pascal) - Specified Compressive Strength at 28 Days is the capacity of a material or structure to withstand loads tending to reduce the size, as opposed to which withstands loads tending to elongate.
Area Ratio of Cross Sectional Area to Gross Area - Area Ratio of Cross Sectional Area to Gross Area is the ratio of cross-sectional area of vertical reinforcing steel to gross area of column.
STEP 1: Convert Input(s) to Base Unit
Allowable Load: 16.00001 Kilonewton --> 16000.01 Newton (Check conversion here)
Gross Area of Column: 500 Square Millimeter --> 0.0005 Square Meter (Check conversion here)
Specified Compressive Strength at 28 Days: 80 Pascal --> 80 Pascal No Conversion Required
Area Ratio of Cross Sectional Area to Gross Area: 8.01 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f's = (Pallow/Ag-0.25*f'c)/pg --> (16000.01/0.0005-0.25*80)/8.01
Evaluating ... ...
f's = 3995006.24219725
STEP 3: Convert Result to Output's Unit
3995006.24219725 Pascal -->3.99500624219725 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
3.99500624219725 3.995006 Newton per Square Millimeter <-- Allowable Stress in Vertical Reinforcement
(Calculation completed in 00.004 seconds)

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Cummins College of Engineering for Women (CCEW), Pune
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7 Design of Short Column under Axial Compression Calculators

Concrete Compressive Strength given Total Allowable Axial Load
Go Characteristic Compressive Strength = ((Total Allowable Load/Gross Area of Column)-(Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area))/0.25
Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load
Go Allowable Stress in Vertical Reinforcement = (Allowable Load/Gross Area of Column-0.25*Specified Compressive Strength at 28 Days)/Area Ratio of Cross Sectional Area to Gross Area
Gross Cross-Sectional Area of Column given Total Allowable Axial Load
Go Gross Area of Column = Allowable Load/(0.25*Specified Compressive Strength at 28 Days+Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area)
Total Allowable Axial Load for Short Columns
Go Allowable Load = Gross Area of Column*(0.25*Specified Compressive Strength at 28 Days+Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area)
Spiral Volume to Concrete-Core Volume Ratio
Go Ratio of Spiral to Concrete Core Volume = 0.45*(Gross Area of Column/Cross Sectional Area of Column-1)*Specified Compressive Strength at 28 Days/Yield Strength of Steel
Allowable Bond Stress for Horizontal Tension Bars of Sizes and Deformations Conforming to ASTM A 408
Go Allowable Bond Stress = 2.1*sqrt(Specified Compressive Strength at 28 Days)
Allowable Bond Stress for Other Tension Bars of Sizes and Deformations Conforming to ASTM A 408
Go Allowable Bond Stress = 3*sqrt(Specified Compressive Strength at 28 Days)

Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load Formula

Allowable Stress in Vertical Reinforcement = (Allowable Load/Gross Area of Column-0.25*Specified Compressive Strength at 28 Days)/Area Ratio of Cross Sectional Area to Gross Area
f's = (Pallow/Ag-0.25*f'c)/pg

What is Maximum Allowable Stress?

The allowable stress or allowable strength is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material. The allowable stresses are generally defined by building codes, and for steel, and aluminum is a fraction of their yield stress (strength).

How to Calculate Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load?

Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load calculator uses Allowable Stress in Vertical Reinforcement = (Allowable Load/Gross Area of Column-0.25*Specified Compressive Strength at 28 Days)/Area Ratio of Cross Sectional Area to Gross Area to calculate the Allowable Stress in Vertical Reinforcement, The Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load formula is defined as the maximum stress (tensile, compressive or bending) that is allowed to be applied on structural material and it is equal to 40 percent of minimum yield strength, but not to exceed 30,000 lb/sq.in(207 MPa). Allowable Stress in Vertical Reinforcement is denoted by f's symbol.

How to calculate Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load using this online calculator? To use this online calculator for Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load, enter Allowable Load (Pallow), Gross Area of Column (Ag), Specified Compressive Strength at 28 Days (f'c) & Area Ratio of Cross Sectional Area to Gross Area (pg) and hit the calculate button. Here is how the Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load calculation can be explained with given input values -> 4E-6 = (16000.01/0.0005-0.25*80)/8.01.

FAQ

What is Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load?
The Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load formula is defined as the maximum stress (tensile, compressive or bending) that is allowed to be applied on structural material and it is equal to 40 percent of minimum yield strength, but not to exceed 30,000 lb/sq.in(207 MPa) and is represented as f's = (Pallow/Ag-0.25*f'c)/pg or Allowable Stress in Vertical Reinforcement = (Allowable Load/Gross Area of Column-0.25*Specified Compressive Strength at 28 Days)/Area Ratio of Cross Sectional Area to Gross Area. Allowable load is the maximum working load that can be applied on the structure, Gross Area of Column is the total area enclosed by the column, Specified Compressive Strength at 28 Days is the capacity of a material or structure to withstand loads tending to reduce the size, as opposed to which withstands loads tending to elongate & Area Ratio of Cross Sectional Area to Gross Area is the ratio of cross-sectional area of vertical reinforcing steel to gross area of column.
How to calculate Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load?
The Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load formula is defined as the maximum stress (tensile, compressive or bending) that is allowed to be applied on structural material and it is equal to 40 percent of minimum yield strength, but not to exceed 30,000 lb/sq.in(207 MPa) is calculated using Allowable Stress in Vertical Reinforcement = (Allowable Load/Gross Area of Column-0.25*Specified Compressive Strength at 28 Days)/Area Ratio of Cross Sectional Area to Gross Area. To calculate Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load, you need Allowable Load (Pallow), Gross Area of Column (Ag), Specified Compressive Strength at 28 Days (f'c) & Area Ratio of Cross Sectional Area to Gross Area (pg). With our tool, you need to enter the respective value for Allowable Load, Gross Area of Column, Specified Compressive Strength at 28 Days & Area Ratio of Cross Sectional Area to Gross Area 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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