FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Depth of Equivalent Rectangular Compressive Stress Distribution Formula

Fx Copy

LaTeX Copy

Depth of Rectangular Stress Distribution is the distance from extreme fiber to rectangular stress distribution in compression zone. Check FAQs

a = \frac{(A steel required - A s') \cdot fy steel}{f c \cdot b}

a - Depth of Rectangular Stress Distribution?A_{steel required} - Area of Steel Required?A_s' - Area of Compression Reinforcement?fy_steel - Yield Strength of Steel?f_c - 28 Day Compressive Strength of Concrete?b - Beam Width?

Depth of Equivalent Rectangular Compressive Stress Distribution Example

With values

With units

Only example

Here is how the Depth of Equivalent Rectangular Compressive Stress Distribution equation looks like with Values.

Here is how the Depth of Equivalent Rectangular Compressive Stress Distribution equation looks like with Units.

Here is how the Depth of Equivalent Rectangular Compressive Stress Distribution equation looks like.

9.434 = \frac{(35 - 20) \cdot 250}{15 \cdot 26.5}

9.434mm = \frac{(35mm² - 20mm²) \cdot 250MPa}{15MPa \cdot 26.5mm}

9.434 = \frac{(35 - 20) \cdot 250}{15 \cdot 26.5}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Structural Engineering » fx Depth of Equivalent Rectangular Compressive Stress Distribution

Depth of Equivalent Rectangular Compressive Stress Distribution Solution

Follow our step by step solution on how to calculate Depth of Equivalent Rectangular Compressive Stress Distribution?

FIRST Step Consider the formula

a = \frac{(A steel required - A s') \cdot fy steel}{f c \cdot b}

Next Step Substitute values of Variables

∴

a = \frac{(35mm² - 20mm²) \cdot 250MPa}{15MPa \cdot 26.5mm}

Next Step Convert Units

∴

a = \frac{(3.5E-5m² - 2E-5m²) \cdot 2.5E+8Pa}{1.5E+7Pa \cdot 0.0265m}

Next Step Prepare to Evaluate

∴

a = \frac{(3.5E-5 - 2E-5) \cdot 2.5E+8}{1.5E+7 \cdot 0.0265}

Next Step Evaluate

∴

a = 0.00943396226415094m

Next Step Convert to Output's Unit

∴

a = 9.43396226415094mm

LAST Step Rounding Answer

∴

a = 9.434mm

Depth of Equivalent Rectangular Compressive Stress Distribution Formula Elements

Variables

Depth of Rectangular Stress Distribution

Depth of Rectangular Stress Distribution is the distance from extreme fiber to rectangular stress distribution in compression zone.

Symbol: a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Rectangular Stress Distribution

Area of Steel Required

Area of steel required is the amount of steel required for resisting the shear or diagonal stress as stirrups.

Symbol: A_{steel required}

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Steel Required

Area of Compression Reinforcement

Area of Compression Reinforcement is the amount of steel required in the compression zone.

Symbol: A_s'

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Compression Reinforcement

Yield Strength of Steel

Yield Strength of Steel is the level of stress that corresponds to the yield point.

Symbol: fy_steel

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Strength of Steel

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.

Symbol: f_c

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find 28 Day Compressive Strength of Concrete

Beam Width

Beam Width is defined as the shortest/least measurement of the beam.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Beam Width

Other formulas in Doubly Reinforced Rectangular Sections category

Go Bending Moment Capacity of Rectangular Beam

B M = 0.90 \cdot ((A steel required - A s') \cdot fy steel \cdot (D centroid - (\frac{a}{2})) + (A s' \cdot fy steel \cdot (D centroid - d')))

How to Evaluate Depth of Equivalent Rectangular Compressive Stress Distribution?

Depth of Equivalent Rectangular Compressive Stress Distribution evaluator 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 evaluate 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 evaluate Depth of Equivalent Rectangular Compressive Stress Distribution using this online evaluator? To use this online evaluator 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.

FAQs on Depth of Equivalent Rectangular Compressive Stress Distribution

What is the formula to find Depth of Equivalent Rectangular Compressive Stress Distribution?

The formula of Depth of Equivalent Rectangular Compressive Stress Distribution is expressed as 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). Here is an example- 9433.962 = ((3.5E-05-2E-05)*250000000)/(15000000*0.0265).

How to calculate Depth of Equivalent Rectangular Compressive Stress Distribution?

With 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) we can find Depth of Equivalent Rectangular Compressive Stress Distribution using the formula - 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).

Can the Depth of Equivalent Rectangular Compressive Stress Distribution be negative?

No, the Depth of Equivalent Rectangular Compressive Stress Distribution, measured in Length cannot be negative.

Which unit is used to measure Depth of Equivalent Rectangular Compressive Stress Distribution?

Depth of Equivalent Rectangular Compressive Stress Distribution is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Depth of Equivalent Rectangular Compressive Stress Distribution can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Depth of Equivalent Rectangular Compressive Stress Distribution Formula

Depth of Equivalent Rectangular Compressive Stress Distribution Example

Depth of Equivalent Rectangular Compressive Stress Distribution Solution

Depth of Equivalent Rectangular Compressive Stress Distribution Formula Elements

Other formulas in Doubly Reinforced Rectangular Sections category

How to Evaluate Depth of Equivalent Rectangular Compressive Stress Distribution?

FAQs on Depth of Equivalent Rectangular Compressive Stress Distribution

Variable Name