Depth of Equivalent Rectangular Compressive Stress Distribution Calculator

✖Area of steel required is the amount of steel required for resisting the shear or diagonal stress as stirrups.ⓘ Area of Steel Required [A_{steel required}]			+10% -10%
✖Area of Compression Reinforcement is the amount of steel required in the compression zone.ⓘ Area of Compression Reinforcement [A_s']			+10% -10%
✖Yield Strength of Steel is the level of stress that corresponds to the yield point.ⓘ Yield Strength of Steel [fy_steel]			+10% -10%
✖28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.ⓘ 28 Day Compressive Strength of Concrete [f_c]			+10% -10%
✖Beam Width is defined as the shortest/least measurement of the beam.ⓘ Beam Width [b]			+10% -10%

✖Depth of Rectangular Stress Distribution is the distance from extreme fiber to rectangular stress distribution in compression zone.ⓘ Depth of Equivalent Rectangular Compressive Stress Distribution [a]

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Formula

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Depth of Equivalent Rectangular Compressive Stress Distribution

Formula

`"a" = (("A"_{"steel required"}-"A"_{"s'"})*"fy"_{"steel"})/("f"_{"c"}*"b")`

Example

`"9.433962mm"=(("35mm²"-"20mm²")*"250MPa")/("15MPa"*"26.5mm")`

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Depth of Equivalent Rectangular Compressive Stress Distribution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Rectangular Stress Distribution = ((Area of Steel Required-Area of Compression Reinforcement)*Yield Strength of Steel)/(28 Day Compressive Strength of Concrete*Beam Width)
a = ((A_{steel required}-A_s')*fy_steel)/(f_c*b)
This formula uses 6 Variables

Variables Used

Depth of Rectangular Stress Distribution - (Measured in Meter) - Depth of Rectangular Stress Distribution is the distance from extreme fiber to rectangular stress distribution in compression zone.
Area of Steel Required - (Measured in Square Meter) - Area of steel required is the amount of steel required for resisting the shear or diagonal stress as stirrups.
Area of Compression Reinforcement - (Measured in Square Meter) - Area of Compression Reinforcement is the amount of steel required in the compression zone.
Yield Strength of Steel - (Measured in Pascal) - Yield Strength of Steel is the level of stress that corresponds to the yield point.
28 Day Compressive Strength of Concrete - (Measured in Pascal) - 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.
Beam Width - (Measured in Meter) - Beam Width is defined as the shortest/least measurement of the beam.

STEP 1: Convert Input(s) to Base Unit

Area of Steel Required: 35 Square Millimeter --> 3.5E-05 Square Meter (Check conversion here)
Area of Compression Reinforcement: 20 Square Millimeter --> 2E-05 Square Meter (Check conversion here)
Yield Strength of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)
28 Day Compressive Strength of Concrete: 15 Megapascal --> 15000000 Pascal (Check conversion here)
Beam Width: 26.5 Millimeter --> 0.0265 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = ((A_{steel required}-A_s')*fy_steel)/(f_c*b) --> ((3.5E-05-2E-05)*250000000)/(15000000*0.0265)

Evaluating ... ...

a = 0.00943396226415094

STEP 3: Convert Result to Output's Unit

0.00943396226415094 Meter -->9.43396226415094 Millimeter (Check conversion here)

FINAL ANSWER

9.43396226415094 ≈ 9.433962 Millimeter <-- Depth of Rectangular Stress Distribution

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Concrete Structures » Behaviour in Flexure » Analysis using Limit State Method » Doubly Reinforced Rectangular Sections » Depth of Equivalent Rectangular Compressive Stress Distribution

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 2 Doubly Reinforced Rectangular Sections Calculators

Bending Moment Capacity of Rectangular Beam

Go Bending Moment of Considered Section = 0.90*((Area of Steel Required-Area of Compression Reinforcement)*Yield Strength of Steel*(Centroidal Distance of Tension Reinforcement-(Depth of Rectangular Stress Distribution/2))+(Area of Compression Reinforcement*Yield Strength of Steel*(Centroidal Distance of Tension Reinforcement-Effective Cover)))

Depth of Equivalent Rectangular Compressive Stress Distribution

Go Depth of Rectangular Stress Distribution = ((Area of Steel Required-Area of Compression Reinforcement)*Yield Strength of Steel)/(28 Day Compressive Strength of Concrete*Beam Width)

Depth of Equivalent Rectangular Compressive Stress Distribution Formula

What is Depth of Equivalent Rectangular Compressive Stress Distribution?

Generally, the Evaluation of Flexural Strength is calculated by parabolic stress distribution. For more simpler approach, in 1930s, Whitney proposed an equivalent rectangular stress distribution to replace the original. In that distribution, average 0.85fc', (0.85* characteristic compressive strength), is used with a rectangle of depth a, which is termed as depth of equivalent rectangular tress distribution.

How to Calculate Depth of Equivalent Rectangular Compressive Stress Distribution?

Depth of Equivalent Rectangular Compressive Stress Distribution calculator uses Depth of Rectangular Stress Distribution = ((Area of Steel Required-Area of Compression Reinforcement)*Yield Strength of Steel)/(28 Day Compressive Strength of Concrete*Beam Width) to calculate the Depth of Rectangular Stress Distribution, The Depth of Equivalent Rectangular Compressive Stress Distribution is defined as the parameters area of tension reinforcement,area of compression reinforcement,compressive strength of concrete and width of beam section. Depth of Rectangular Stress Distribution is denoted by a symbol.

How to calculate Depth of Equivalent Rectangular Compressive Stress Distribution using this online calculator? To use this online calculator for Depth of Equivalent Rectangular Compressive Stress Distribution, enter Area of Steel Required (A_{steel required}), Area of Compression Reinforcement (A_s'), Yield Strength of Steel (fy_steel), 28 Day Compressive Strength of Concrete (f_c) & Beam Width (b) and hit the calculate button. Here is how the Depth of Equivalent Rectangular Compressive Stress Distribution calculation can be explained with given input values -> 9433.962 = ((3.5E-05-2E-05)*250000000)/(15000000*0.0265).

FAQ

What is Depth of Equivalent Rectangular Compressive Stress Distribution?

The Depth of Equivalent Rectangular Compressive Stress Distribution is defined as the parameters area of tension reinforcement,area of compression reinforcement,compressive strength of concrete and width of beam section and is represented as a = ((A_{steel required}-A_s')*fy_steel)/(f_c*b) or Depth of Rectangular Stress Distribution = ((Area of Steel Required-Area of Compression Reinforcement)*Yield Strength of Steel)/(28 Day Compressive Strength of Concrete*Beam Width). Area of steel required is the amount of steel required for resisting the shear or diagonal stress as stirrups, Area of Compression Reinforcement is the amount of steel required in the compression zone, Yield Strength of Steel is the level of stress that corresponds to the yield point, 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it & Beam Width is defined as the shortest/least measurement of the beam.

How to calculate Depth of Equivalent Rectangular Compressive Stress Distribution?

The Depth of Equivalent Rectangular Compressive Stress Distribution is defined as the parameters area of tension reinforcement,area of compression reinforcement,compressive strength of concrete and width of beam section is calculated using Depth of Rectangular Stress Distribution = ((Area of Steel Required-Area of Compression Reinforcement)*Yield Strength of Steel)/(28 Day Compressive Strength of Concrete*Beam Width). To calculate Depth of Equivalent Rectangular Compressive Stress Distribution, you need Area of Steel Required (A_{steel required}), Area of Compression Reinforcement (A_s'), Yield Strength of Steel (fy_steel), 28 Day Compressive Strength of Concrete (f_c) & Beam Width (b). With our tool, you need to enter the respective value for Area of Steel Required, Area of Compression Reinforcement, Yield Strength of Steel, 28 Day Compressive Strength of Concrete & Beam Width 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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