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Distance from Extreme Compression to Centroid given Steel Ratio Calculator

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✖Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section.ⓘ Area of Tension Reinforcement [A]			+10% -10%
✖Beam Width is defined as the shortest/least measurement of the beam.ⓘ Beam Width [b]			+10% -10%
✖Steel Ratio is defined as the ratio of steel to the beam area at which the yielding of steel happens simultaneously with the crushing of concrete.ⓘ Steel Ratio [ρ_{steel ratio}]			+10% -10%

✖Distance from Compression to Centroid Reinforcment is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).ⓘ Distance from Extreme Compression to Centroid given Steel Ratio [d']

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Distance from Extreme Compression to Centroid given Steel Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance from Compression to Centroid Reinforcment = (Area of Tension Reinforcement)/(Beam Width*Steel Ratio)
d' = (A)/(b*ρ_{steel ratio})
This formula uses 4 Variables

Variables Used

Distance from Compression to Centroid Reinforcment - (Measured in Meter) - Distance from Compression to Centroid Reinforcment is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).
Area of Tension Reinforcement - (Measured in Square Meter) - Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section.
Beam Width - (Measured in Meter) - Beam Width is defined as the shortest/least measurement of the beam.
Steel Ratio - Steel Ratio is defined as the ratio of steel to the beam area at which the yielding of steel happens simultaneously with the crushing of concrete.

STEP 1: Convert Input(s) to Base Unit

Area of Tension Reinforcement: 10 Square Meter --> 10 Square Meter No Conversion Required
Beam Width: 26.5 Millimeter --> 0.0265 Meter (Check conversion here)
Steel Ratio: 37.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d' = (A)/(b*ρ_{steel ratio}) --> (10)/(0.0265*37.9)

Evaluating ... ...

d' = 9.95668840543635

STEP 3: Convert Result to Output's Unit

9.95668840543635 Meter -->9956.68840543635 Millimeter (Check conversion here)

FINAL ANSWER

9956.68840543635 ≈ 9956.688 Millimeter <-- Distance from Compression to Centroid Reinforcment

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Concrete Structures » Behaviour in Flexure » Design of Beam and Slab » Singly Reinforced Rectangular Sections » Distance from Extreme Compression to Centroid given Steel Ratio

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< Singly Reinforced Rectangular Sections Calculators

Stress in Steel with Tension Reinforcement only

LaTeX Go Tensile Stress in Steel = (Modular Ratio*Compressive Stress at Extreme Concrete Surface*(1-Ratio of Depth))/(Ratio of Depth)

Distance from Extreme Compression to Centroid given Steel Ratio

LaTeX Go Distance from Compression to Centroid Reinforcment = (Area of Tension Reinforcement)/(Beam Width*Steel Ratio)

Area of Tension Reinforcement given Steel Ratio

LaTeX Go Area of Tension Reinforcement = (Steel Ratio*Beam Width*Distance from Compression to Centroid Reinforcment)

Modular Ratio

LaTeX Go Modular Ratio = (Modulus of Elasticity of Steel)/(Modulus of Elasticity of Concrete)

Distance from Extreme Compression to Centroid given Steel Ratio Formula

LaTeX Go

Distance from Compression to Centroid Reinforcment = (Area of Tension Reinforcement)/(Beam Width*Steel Ratio)
d' = (A)/(b*ρ_{steel ratio})

What is Centroid of Steel?

The Centroid of Steel is the center of mass of the members cross-sectional sections useful for beam analysis when the moment of inertia is required for calculations.

What is the purpose of Centroid in a Sectional Member?

The centroid is used to compute the moment of inertia of the beam, which is used in analysis of the beam's bending stress under weight, beam shear, and beam deflection or other analysis questions.

How to Calculate Distance from Extreme Compression to Centroid given Steel Ratio?

Distance from Extreme Compression to Centroid given Steel Ratio calculator uses Distance from Compression to Centroid Reinforcment = (Area of Tension Reinforcement)/(Beam Width*Steel Ratio) to calculate the Distance from Compression to Centroid Reinforcment, The Distance from Extreme Compression to Centroid given Steel Ratio is defined as steel ratio=As/bd, where As is area of tension reinforcement and b is beam width. Distance from Compression to Centroid Reinforcment is denoted by d' symbol.

How to calculate Distance from Extreme Compression to Centroid given Steel Ratio using this online calculator? To use this online calculator for Distance from Extreme Compression to Centroid given Steel Ratio, enter Area of Tension Reinforcement (A), Beam Width (b) & Steel Ratio (ρ_{steel ratio}) and hit the calculate button. Here is how the Distance from Extreme Compression to Centroid given Steel Ratio calculation can be explained with given input values -> 7.5E+6 = (10)/(0.0265*37.9).

FAQ

What is Distance from Extreme Compression to Centroid given Steel Ratio?

The Distance from Extreme Compression to Centroid given Steel Ratio is defined as steel ratio=As/bd, where As is area of tension reinforcement and b is beam width and is represented as d' = (A)/(b*ρ_{steel ratio}) or Distance from Compression to Centroid Reinforcment = (Area of Tension Reinforcement)/(Beam Width*Steel Ratio). Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section, Beam Width is defined as the shortest/least measurement of the beam & Steel Ratio is defined as the ratio of steel to the beam area at which the yielding of steel happens simultaneously with the crushing of concrete.

How to calculate Distance from Extreme Compression to Centroid given Steel Ratio?

The Distance from Extreme Compression to Centroid given Steel Ratio is defined as steel ratio=As/bd, where As is area of tension reinforcement and b is beam width is calculated using Distance from Compression to Centroid Reinforcment = (Area of Tension Reinforcement)/(Beam Width*Steel Ratio). To calculate Distance from Extreme Compression to Centroid given Steel Ratio, you need Area of Tension Reinforcement (A), Beam Width (b) & Steel Ratio (ρ_{steel ratio}). With our tool, you need to enter the respective value for Area of Tension Reinforcement, Beam Width & Steel Ratio 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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