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Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
area_of_tension_reinforcement = ((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(Axial Load Capacity/Resistance Factor))/Tensile Stress in Steel
As = ((.85*fc*b*a)+(As'*Fy)-(Pu/Φ))/fs
This formula uses 8 Variables
Variables Used
28 Day Compressive Strength of Concrete - 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it. (Measured in Megapascal)
Width of compression face - Width of compression face is the measurement or extent of something from side to side. (Measured in Meter)
Depth Rectangular Compressive Stress - Depth Rectangular Compressive Stress is defined as the depth of equivalent rectangular compressive-stress distribution, in(mm). (Measured in Millimeter)
Area of Compressive Reinforcement - Area of Compressive Reinforcement is common sense to place reinforcement in an area subjected to compressive stress. (Measured in Square Meter)
Yeild Strength of Base Plate - Yeild Strength of Base Plate is defined as (Measured in Megapascal)
Axial Load Capacity - Axial Load Capacity is defined as the maximum load along the direction of the drive train. (Measured in Newton)
Resistance Factor- The Resistance Factor accounts for the possible conditions that the actual fastener strength may be less than calculated strength value as a result of variations in dimensional tolerances.
Tensile Stress in Steel - Tensile Stress in Steel is defined as the steel is under tension. The external force per unit area of the material resulting in the stretch of the material is known as tensile stress. (Measured in Kilogram-Force per Square Meter)
STEP 1: Convert Input(s) to Base Unit
28 Day Compressive Strength of Concrete: 100 Megapascal --> 100000000 Pascal (Check conversion here)
Width of compression face: 5 Meter --> 5 Meter No Conversion Required
Depth Rectangular Compressive Stress: 10 Millimeter --> 0.01 Meter (Check conversion here)
Area of Compressive Reinforcement: 20 Square Meter --> 20 Square Meter No Conversion Required
Yeild Strength of Base Plate: 50 Megapascal --> 50000000 Pascal (Check conversion here)
Axial Load Capacity: 100 Newton --> 100 Newton No Conversion Required
Resistance Factor: 10 --> No Conversion Required
Tensile Stress in Steel: 100 Kilogram-Force per Square Meter --> 980.664999999931 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
As = ((.85*fc*b*a)+(As'*Fy)-(Pu/Φ))/fs --> ((.85*100000000*5*0.01)+(20*50000000)-(100/10))/980.664999999931
Evaluating ... ...
As = 1024049.99668599
STEP 3: Convert Result to Output's Unit
1024049.99668599 Square Meter --> No Conversion Required
FINAL ANSWER
1024049.99668599 Square Meter <-- area of tension reinforcement
(Calculation completed in 00.047 seconds)

11 Other formulas that you can solve using the same Inputs

Ultimate Strength for Symmetrical Reinforcement
axial_load_capacity = 0.85*28 Day Compressive Strength of Concrete*Width of compression face*Distance from Compression to Tensile Reinforcement*Capacity reduction factor*((-Area ratio of tensile reinforcement)+1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement)+sqrt(((1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement))^2)+2*Area ratio of tensile reinforcement*((Force ratio of strengths of reinforcements-1)*(1-(Distance from Compression to Centroid Reinforcment/Distance from Compression to Tensile Reinforcement))+(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement)))) Go
Balanced Moment when Φ is Given
balanced_moment = Resistance Factor*((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress*(Distance from Compression to Tensile Reinforcement-Distance from Plastic to Tensile Reinforcement-Depth Rectangular Compressive Stress/2))+(Area of Compressive Reinforcement*Yeild Strength of Base Plate*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment-Distance from Plastic to Tensile Reinforcement))+(area of tension reinforcement*Tensile Stress in Steel*Distance from Plastic to Tensile Reinforcement)) Go
Compressive Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given
area_of_compressive_reinforcement = ((Axial Load Capacity/Resistance Factor)-(.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(area of tension reinforcement*Tensile Stress in Steel))/Yeild Strength of Base Plate Go
Tensile Stress in Steel when Axial-Load Capacity of Short Rectangular Members is Given
tensile_stress_in_steel = ((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(Axial Load Capacity/Resistance Factor))/area of tension reinforcement Go
Axial-Load Capacity of Short Rectangular Members
axial_load_capacity = Resistance Factor*((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(area of tension reinforcement*Tensile Stress in Steel)) Go
Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given
yield_strength = (Ultimate strength-0.85*28 Day Compressive Strength of Concrete*(Gross area-Area of Reinforcement))/Area of Reinforcement Go
Column Ultimate Strength with Zero Eccentricity of Load
ultimate_strength = 0.85*28 Day Compressive Strength of Concrete*(Gross area-Area of Reinforcement)+Yield Strength*Area of Reinforcement Go
Base Plate Thickness
base_plate_thickness = 2*Maximum Cantilever Dimension*(sqrt(Bearing Pressure on Base Plate/Yeild Strength of Base Plate)) Go
Gross Area of Steel Core when Design Strength of Axially Loaded Composite Column is Given
gross_area_of_steel_core = Nominal Loading Capacity*Resistance Factor/(0.85*Critical Compressive Stress) Go
Design Strength of an Axially Loaded Composite Column
nominal_loding_capacity = 0.85*Gross Area of Steel Core*Critical Compressive Stress/Resistance Factor Go
Allowable Bearing Pressure when Full Area of Support is Occupied by Base Plate
allowable_bearing_pressure = 0.35*28 Day Compressive Strength of Concrete Go

2 Other formulas that calculate the same Output

Tension Reinforcement Area when Axial Load for Tied Columns is Given
area_of_tension_reinforcement = (Bending moment)/(0.40*yield strength of reinforcement*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment)) Go
Area of Tension Reinforcement when Steel Ratio is Given
area_of_tension_reinforcement = (Steel Ratio*Beam Width*Distance from Extreme Compression to Centroid ) Go

Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given Formula

area_of_tension_reinforcement = ((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(Axial Load Capacity/Resistance Factor))/Tensile Stress in Steel
As = ((.85*fc*b*a)+(As'*Fy)-(Pu/Φ))/fs

Define Tension Reinforcement Area?

The Tension Reinforcement Area is defined as the area of reinforcement within an effective tension area of concrete. The effective tension area is that area of the concrete cross-section which will crack due to the tension developed in bending.

How to Calculate Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given?

Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given calculator uses area_of_tension_reinforcement = ((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(Axial Load Capacity/Resistance Factor))/Tensile Stress in Steel to calculate the area of tension reinforcement, The Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given formula is defined as the area of reinforcement within an effective tension area of concrete. The effective tension area is that area of the concrete cross-section which will crack due to the tension developed in bending. area of tension reinforcement and is denoted by As symbol.

How to calculate Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given using this online calculator? To use this online calculator for Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given, enter 28 Day Compressive Strength of Concrete (fc), Width of compression face (b), Depth Rectangular Compressive Stress (a), Area of Compressive Reinforcement (As'), Yeild Strength of Base Plate (Fy), Axial Load Capacity (Pu), Resistance Factor (Φ) and Tensile Stress in Steel (fs) and hit the calculate button. Here is how the Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given calculation can be explained with given input values -> 1.024E+6 = ((.85*100000000*5*0.01)+(20*50000000)-(100/10))/980.664999999931.

FAQ

What is Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given?
The Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given formula is defined as the area of reinforcement within an effective tension area of concrete. The effective tension area is that area of the concrete cross-section which will crack due to the tension developed in bending and is represented as As = ((.85*fc*b*a)+(As'*Fy)-(Pu/Φ))/fs or area_of_tension_reinforcement = ((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(Axial Load Capacity/Resistance Factor))/Tensile Stress in Steel. 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it, Width of compression face is the measurement or extent of something from side to side, Depth Rectangular Compressive Stress is defined as the depth of equivalent rectangular compressive-stress distribution, in(mm). , Area of Compressive Reinforcement is common sense to place reinforcement in an area subjected to compressive stress, Yeild Strength of Base Plate is defined as, Axial Load Capacity is defined as the maximum load along the direction of the drive train, The Resistance Factor accounts for the possible conditions that the actual fastener strength may be less than calculated strength value as a result of variations in dimensional tolerances and Tensile Stress in Steel is defined as the steel is under tension. The external force per unit area of the material resulting in the stretch of the material is known as tensile stress.
How to calculate Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given?
The Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given formula is defined as the area of reinforcement within an effective tension area of concrete. The effective tension area is that area of the concrete cross-section which will crack due to the tension developed in bending is calculated using area_of_tension_reinforcement = ((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(Axial Load Capacity/Resistance Factor))/Tensile Stress in Steel. To calculate Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given, you need 28 Day Compressive Strength of Concrete (fc), Width of compression face (b), Depth Rectangular Compressive Stress (a), Area of Compressive Reinforcement (As'), Yeild Strength of Base Plate (Fy), Axial Load Capacity (Pu), Resistance Factor (Φ) and Tensile Stress in Steel (fs). With our tool, you need to enter the respective value for 28 Day Compressive Strength of Concrete, Width of compression face, Depth Rectangular Compressive Stress, Area of Compressive Reinforcement, Yeild Strength of Base Plate, Axial Load Capacity, Resistance Factor and Tensile Stress in Steel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate area of tension reinforcement?
In this formula, area of tension reinforcement uses 28 Day Compressive Strength of Concrete, Width of compression face, Depth Rectangular Compressive Stress, Area of Compressive Reinforcement, Yeild Strength of Base Plate, Axial Load Capacity, Resistance Factor and Tensile Stress in Steel. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • area_of_tension_reinforcement = (Bending moment)/(0.40*yield strength of reinforcement*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment))
  • area_of_tension_reinforcement = (Steel Ratio*Beam Width*Distance from Extreme Compression to Centroid )
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