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Stress in Compressive Steel Solution

STEP 0: Pre-Calculation Summary
Formula Used
stress_in_compressive_steel = (Distance from compression fiber to NA-Effective cover/(Centroidal distance of tension reinforcement-Distance from compression fiber to NA))*(2*steel stress)
f's = (Kd-d'/(d-Kd))*(2*fs)
This formula uses 4 Variables
Variables Used
Distance from compression fiber to NA - Distance from compression fiber to NA is the distance from the extreme compression fiber or surface to the neutral axis. (Measured in Millimeter)
Effective cover - Effective cover is the distance from exposed surface of concrete to the centroid of main reinforcement. (Measured in Millimeter)
Centroidal distance of tension reinforcement - Centroidal distance of tension reinforcement is the distance measured from eternal fiber to centroid of tension reinforcement. (Measured in Millimeter)
steel stress - steel stress is the stress developed in steel (Measured in Kilopound Per Square Inch)
STEP 1: Convert Input(s) to Base Unit
Distance from compression fiber to NA: 100 Millimeter --> 0.1 Meter (Check conversion here)
Effective cover: 50 Millimeter --> 0.05 Meter (Check conversion here)
Centroidal distance of tension reinforcement: 50 Millimeter --> 0.05 Meter (Check conversion here)
steel stress: 100 Kilopound Per Square Inch --> 689475729.310432 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f's = (Kd-d'/(d-Kd))*(2*fs) --> (0.1-0.05/(0.05-0.1))*(2*689475729.310432)
Evaluating ... ...
f's = 1516846604.48295
STEP 3: Convert Result to Output's Unit
1516846604.48295 Pascal -->1516.84660448295 Megapascal (Check conversion here)
FINAL ANSWER
1516.84660448295 Megapascal <-- stress in compressive steel
(Calculation completed in 00.051 seconds)

11 Other formulas that you can solve using the same Inputs

Value of k in Design Reviewing
ratio_of_depth_of_compression_area_to_depth_d = sqrt((((2)*(Modular Ratio))*((Tension reinforcement ratio)+((Compression reinforcement ratio)*(Effective cover/Centroidal distance of tension reinforcement))))+((Modular Ratio^(2))*(Tension reinforcement ratio+Compression reinforcement ratio)^(2))-((Modular Ratio)*(Tension reinforcement ratio+Compression reinforcement ratio))) Go
Bending Moment Capacity of Rectangular Beam
bending_moment_of_considered_section = 0.90*((Area of steel required-Area of compression reinforcement)*yield strength of reinforcement*(Centroidal distance of tension reinforcement-(Depth of Rectangular Stress Distribution/2))+(Area of compression reinforcement*yield strength of reinforcement*(Centroidal distance of tension reinforcement-Effective cover))) Go
Spacing when Area of Steel in Vertical Stirrups is Given
stirrup_spacing = (Area of steel required*yield strength of reinforcement*Centroidal distance of tension reinforcement*Capacity reduction factor)/((Shear force in considered section)-(2*Capacity reduction factor*sqrt(28 Day Compressive Strength of Concrete)*Width of beam web*Centroidal distance of tension reinforcement)) Go
Nominal Shear Strength of the Concrete
nominal_shear_strength_of_concrete = (1.9*sqrt(28 Day Compressive Strength of Concrete)+((2500*Reinforcement ratio of web section)*((Shear force in considered section*Centroidal distance of tension reinforcement)/Bending moment of considered section)))*(Width of beam web*Centroidal distance of tension reinforcement) Go
Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio
tensile_to_compressive_stress_ratio = (Ratio of depth)/2*(Tension reinforcement ratio-((Compression reinforcement ratio*(Distance from compression fiber to NA-Effective cover))/(Centroidal distance of tension reinforcement-Distance from compression fiber to NA))) Go
Bending-Moment Capacity of Ultimate Strength when Beam Width is Given
bending_moment_of_considered_section = 0.90*(Area of steel required*yield strength of reinforcement*Centroidal distance of tension reinforcement*(1-(0.59*((Tension reinforcement ratio*yield strength of reinforcement))/28 Day Compressive Strength of Concrete))) Go
Bending-Moment Capacity of Ultimate Strength when Area of Tension Reinforcement is Given
bending_moment_of_considered_section = 0.90*(Area of steel required*yield strength of reinforcement*(Centroidal distance of tension reinforcement-(Depth of Rectangular Stress Distribution/2))) Go
Nominal Reinforcement Shear Strength when Area of Steel in Vertical Stirrups is Given
nominal_shear_strength_by_reinforcement = (Area of steel required*yield strength of reinforcement*Centroidal distance of tension reinforcement)/(Stirrup Spacing) Go
Area of Steel Required in Vertical Stirrups
area_of_steel_required = (Nominal shear strength by reinforcement*Stirrup Spacing)/(yield strength of reinforcement*Centroidal distance of tension reinforcement) Go
Distance from Extreme Compression Surface to Neutral Axis in Compression Failure
distance_from_the_extreme_compression_surface_to_the_neutral_axis = (0.003*Effective depth)/((steel stress/modulus of elasticity)+0.003) Go
Equation Based on Linear Variation of Stress and Strain with Distance
ratio_of_depth = 1/(1+(steel stress/(Modular Ratio*Compressive stress of concrete))) Go

Stress in Compressive Steel Formula

stress_in_compressive_steel = (Distance from compression fiber to NA-Effective cover/(Centroidal distance of tension reinforcement-Distance from compression fiber to NA))*(2*steel stress)
f's = (Kd-d'/(d-Kd))*(2*fs)

Why is calculation of Stress in Compressive Steel important?

When a section is continuously affected by compressive force, then the section undergoes creep or plastic deformation. Hence the stress in compressive steel should always be in permissible limit. It should not exceed the allowable tensile stress for the steel.

How to Calculate Stress in Compressive Steel?

Stress in Compressive Steel calculator uses stress_in_compressive_steel = (Distance from compression fiber to NA-Effective cover/(Centroidal distance of tension reinforcement-Distance from compression fiber to NA))*(2*steel stress) to calculate the stress in compressive steel, Stress in Compressive Steel formula is defined for designing the rectangular beam sections using working stress method. The factor 2 in the equation is incorporated to account the effect of creep and non linearity. stress in compressive steel and is denoted by f's symbol.

How to calculate Stress in Compressive Steel using this online calculator? To use this online calculator for Stress in Compressive Steel, enter Distance from compression fiber to NA (Kd), Effective cover (d'), Centroidal distance of tension reinforcement (d) and steel stress (fs) and hit the calculate button. Here is how the Stress in Compressive Steel calculation can be explained with given input values -> 1516.847 = (0.1-0.05/(0.05-0.1))*(2*689475729.310432).

FAQ

What is Stress in Compressive Steel?
Stress in Compressive Steel formula is defined for designing the rectangular beam sections using working stress method. The factor 2 in the equation is incorporated to account the effect of creep and non linearity and is represented as f's = (Kd-d'/(d-Kd))*(2*fs) or stress_in_compressive_steel = (Distance from compression fiber to NA-Effective cover/(Centroidal distance of tension reinforcement-Distance from compression fiber to NA))*(2*steel stress). Distance from compression fiber to NA is the distance from the extreme compression fiber or surface to the neutral axis. , Effective cover is the distance from exposed surface of concrete to the centroid of main reinforcement, Centroidal distance of tension reinforcement is the distance measured from eternal fiber to centroid of tension reinforcement and steel stress is the stress developed in steel.
How to calculate Stress in Compressive Steel?
Stress in Compressive Steel formula is defined for designing the rectangular beam sections using working stress method. The factor 2 in the equation is incorporated to account the effect of creep and non linearity is calculated using stress_in_compressive_steel = (Distance from compression fiber to NA-Effective cover/(Centroidal distance of tension reinforcement-Distance from compression fiber to NA))*(2*steel stress). To calculate Stress in Compressive Steel, you need Distance from compression fiber to NA (Kd), Effective cover (d'), Centroidal distance of tension reinforcement (d) and steel stress (fs). With our tool, you need to enter the respective value for Distance from compression fiber to NA, Effective cover, Centroidal distance of tension reinforcement and steel stress 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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