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Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement Formula

GoBending Moment Capacity of Ultimate Strength given Beam Width Formula

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Bending Moment of Considered Section is defined as the sum of moment of all forces acting on one side of the beam or section. Check FAQs

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

B_M - Bending Moment of Considered Section?A_{steel required} - Area of Steel Required?fy_steel - Yield Strength of Steel?D_centroid - Centroidal Distance of Tension Reinforcement?a - Depth of Rectangular Stress Distribution?

Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement Example

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Here is how the Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement equation looks like with Values.

Here is how the Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement equation looks like with Units.

Here is how the Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement equation looks like.

364.5652 = 0.90 \cdot (35 \cdot 250 \cdot (51.01 - (\frac{9.432}{2})))

364.5652kN*m = 0.90 \cdot (35mm² \cdot 250MPa \cdot (51.01mm - (\frac{9.432mm}{2})))

364.5652 = 0.90 \cdot (35 \cdot 250 \cdot (51.01 - (\frac{9.432}{2})))

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Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement Solution

Follow our step by step solution on how to calculate Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B M = 0.90 \cdot (35mm² \cdot 250MPa \cdot (51.01mm - (\frac{9.432mm}{2})))

Next Step Convert Units

∴

B M = 0.90 \cdot (3.5E-5m² \cdot 2.5E+8Pa \cdot (0.051m - (\frac{0.0094m}{2})))

Next Step Prepare to Evaluate

∴

B M = 0.90 \cdot (3.5E-5 \cdot 2.5E+8 \cdot (0.051 - (\frac{0.0094}{2})))

Next Step Evaluate

∴

B M = 364565.25N*m

Next Step Convert to Output's Unit

∴

B M = 364.56525kN*m

LAST Step Rounding Answer

∴

B M = 364.5652kN*m

Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement Formula Elements

Variables

Bending Moment of Considered Section

Bending Moment of Considered Section is defined as the sum of moment of all forces acting on one side of the beam or section.

Symbol: B_M

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Bending Moment of Considered Section

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

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

Centroidal Distance of Tension Reinforcement

The Centroidal Distance of Tension Reinforcement is the distance measured from external fiber to centroid of tension reinforcement.

Symbol: D_centroid

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Centroidal Distance of Tension Reinforcement

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

Other Formulas to find Bending Moment of Considered Section

Go Bending Moment Capacity of Ultimate Strength given Beam Width

B M = 0.90 \cdot (A steel required \cdot fy steel \cdot D centroid \cdot (1 + (0.59 \cdot \frac{(ρ T \cdot fy steel)}{f c})))

Other formulas in Singly Reinforced Rectangular Sections category

Go Distance from Extreme Compression Surface to Neutral Axis in Compression Failure

c = \frac{0.003 \cdot d eff}{(\frac{f TS}{E s}) + 0.003}

How to Evaluate Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement?

Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement evaluator uses Bending Moment of Considered Section = 0.90*(Area of Steel Required*Yield Strength of Steel*(Centroidal Distance of Tension Reinforcement-(Depth of Rectangular Stress Distribution/2))) to evaluate the Bending Moment of Considered Section, Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement formula is defined by parameters area of steel, effective depth of section, depth of equivalent rectangular stress distribution and yield strength of concrete. Bending Moment of Considered Section is denoted by B_M symbol.

How to evaluate Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement using this online evaluator? To use this online evaluator for Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement, enter Area of Steel Required (A_{steel required}), Yield Strength of Steel (fy_steel), Centroidal Distance of Tension Reinforcement (D_centroid) & Depth of Rectangular Stress Distribution (a) and hit the calculate button.

FAQs on Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement

What is the formula to find Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement?

The formula of Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement is expressed as Bending Moment of Considered Section = 0.90*(Area of Steel Required*Yield Strength of Steel*(Centroidal Distance of Tension Reinforcement-(Depth of Rectangular Stress Distribution/2))). Here is an example- 0.364487 = 0.90*(3.5E-05*250000000*(0.05101-(0.009432/2))).

How to calculate Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement?

With Area of Steel Required (A_{steel required}), Yield Strength of Steel (fy_steel), Centroidal Distance of Tension Reinforcement (D_centroid) & Depth of Rectangular Stress Distribution (a) we can find Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement using the formula - Bending Moment of Considered Section = 0.90*(Area of Steel Required*Yield Strength of Steel*(Centroidal Distance of Tension Reinforcement-(Depth of Rectangular Stress Distribution/2))).

What are the other ways to Calculate Bending Moment of Considered Section?

Here are the different ways to Calculate Bending Moment of Considered Section-

Bending Moment of Considered Section=0.90*(Area of Steel Required*Yield Strength of Steel*Centroidal Distance of Tension Reinforcement*(1+(0.59*((Tension Reinforcement Ratio*Yield Strength of Steel))/28 Day Compressive Strength of Concrete)))

Can the Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement be negative?

No, the Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement, measured in Moment of Force cannot be negative.

Which unit is used to measure Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement?

Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement is usually measured using the Kilonewton Meter[kN*m] for Moment of Force. Newton Meter[kN*m], Millinewton Meter[kN*m], Micronewton Meter[kN*m] are the few other units in which Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement can be measured.

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Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement Formula

​GoBending Moment Capacity of Ultimate Strength given Beam Width Formula

Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement Example

Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement Solution

Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement Formula Elements

Other Formulas to find Bending Moment of Considered Section

Other formulas in Singly Reinforced Rectangular Sections category

How to Evaluate Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement?

FAQs on Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement

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GoBending Moment Capacity of Ultimate Strength given Beam Width Formula