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Bending Moment Capacity of Ultimate Strength given Beam Width Formula

GoBending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement 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 \cdot (1 + (0.59 \cdot \frac{(ρ T \cdot fy steel)}{f c})))

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?ρ_T - Tension Reinforcement Ratio?f_c - 28 Day Compressive Strength of Concrete?

Bending Moment Capacity of Ultimate Strength given Beam Width Example

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Here is how the Bending Moment Capacity of Ultimate Strength given Beam Width equation looks like with Values.

Here is how the Bending Moment Capacity of Ultimate Strength given Beam Width equation looks like with Units.

Here is how the Bending Moment Capacity of Ultimate Strength given Beam Width equation looks like.

51.3578 = 0.90 \cdot (35 \cdot 250 \cdot 51.01 \cdot (1 + (0.59 \cdot \frac{(12.9 \cdot 250)}{15})))

51.3578kN*m = 0.90 \cdot (35mm² \cdot 250MPa \cdot 51.01mm \cdot (1 + (0.59 \cdot \frac{(12.9 \cdot 250MPa)}{15MPa})))

51.3578 = 0.90 \cdot (35 \cdot 250 \cdot 51.01 \cdot (1 + (0.59 \cdot \frac{(12.9 \cdot 250)}{15})))

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Bending Moment Capacity of Ultimate Strength given Beam Width Solution

Follow our step by step solution on how to calculate Bending Moment Capacity of Ultimate Strength given Beam Width?

FIRST Step Consider the formula

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})))

Next Step Substitute values of Variables

∴

B M = 0.90 \cdot (35mm² \cdot 250MPa \cdot 51.01mm \cdot (1 + (0.59 \cdot \frac{(12.9 \cdot 250MPa)}{15MPa})))

Next Step Convert Units

∴

B M = 0.90 \cdot (3.5E-5m² \cdot 2.5E+8Pa \cdot 0.051m \cdot (1 + (0.59 \cdot \frac{(12.9 \cdot 2.5E+8Pa)}{1.5E+7Pa})))

Next Step Prepare to Evaluate

∴

B M = 0.90 \cdot (3.5E-5 \cdot 2.5E+8 \cdot 0.051 \cdot (1 + (0.59 \cdot \frac{(12.9 \cdot 2.5E+8)}{1.5E+7})))

Next Step Evaluate

∴

B M = 51357.8244375N*m

Next Step Convert to Output's Unit

∴

B M = 51.3578244375kN*m

LAST Step Rounding Answer

∴

B M = 51.3578kN*m

Bending Moment Capacity of Ultimate Strength given Beam Width 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

Tension Reinforcement Ratio

The Tension Reinforcement Ratio is the ratio between the area of tensile reinforcement to the area of cross-section.

Symbol: ρ_T

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Tension Reinforcement Ratio

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

Other Formulas to find Bending Moment of Considered Section

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

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

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 Beam Width?

Bending Moment Capacity of Ultimate Strength given Beam Width evaluator uses 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))) to evaluate the Bending Moment of Considered Section, The Bending moment capacity of ultimate strength given beam width is defined as the bending moment capacity of a section,beam when the width of beam is given. Bending Moment of Considered Section is denoted by B_M symbol.

How to evaluate Bending Moment Capacity of Ultimate Strength given Beam Width using this online evaluator? To use this online evaluator for Bending Moment Capacity of Ultimate Strength given Beam Width, enter Area of Steel Required (A_{steel required}), Yield Strength of Steel (fy_steel), Centroidal Distance of Tension Reinforcement (D_centroid), Tension Reinforcement Ratio (ρ_T) & 28 Day Compressive Strength of Concrete (f_c) and hit the calculate button.

FAQs on Bending Moment Capacity of Ultimate Strength given Beam Width

What is the formula to find Bending Moment Capacity of Ultimate Strength given Beam Width?

The formula of Bending Moment Capacity of Ultimate Strength given Beam Width is expressed as 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))). Here is an example- 0.051348 = 0.90*(3.5E-05*250000000*0.05101*(1+(0.59*((12.9*250000000))/15000000))).

How to calculate Bending Moment Capacity of Ultimate Strength given Beam Width?

With Area of Steel Required (A_{steel required}), Yield Strength of Steel (fy_steel), Centroidal Distance of Tension Reinforcement (D_centroid), Tension Reinforcement Ratio (ρ_T) & 28 Day Compressive Strength of Concrete (f_c) we can find Bending Moment Capacity of Ultimate Strength given Beam Width using the formula - 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))).

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-(Depth of Rectangular Stress Distribution/2)))

Can the Bending Moment Capacity of Ultimate Strength given Beam Width be negative?

No, the Bending Moment Capacity of Ultimate Strength given Beam Width, measured in Moment of Force cannot be negative.

Which unit is used to measure Bending Moment Capacity of Ultimate Strength given Beam Width?

Bending Moment Capacity of Ultimate Strength given Beam Width 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 Beam Width can be measured.

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Bending Moment Capacity of Ultimate Strength given Beam Width Formula

​GoBending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement Formula

Bending Moment Capacity of Ultimate Strength given Beam Width Example

Bending Moment Capacity of Ultimate Strength given Beam Width Solution

Bending Moment Capacity of Ultimate Strength given Beam Width 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 Beam Width?

FAQs on Bending Moment Capacity of Ultimate Strength given Beam Width

Variable Name

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