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Maximum Ultimate Moment when Neutral Axis Lies in Web Formula

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Maximum Ultimate Moment is the moment acting on the beam at its maximum capacity. Check FAQs

M u = 0.9 \cdot ((A - A st) \cdot fy steel \cdot (d eff - \frac{D equivalent}{2}) + A st \cdot fy steel \cdot (d eff - \frac{t f}{2}))

M_u - Maximum Ultimate Moment?A - Area of Tension Reinforcement?A_st - Tensile Steel Area for Strength?fy_steel - Yield Strength of Steel?d_eff - Effective Depth of Beam?D_equivalent - Equivalent Depth?t_f - Flange Thickness?

Maximum Ultimate Moment when Neutral Axis Lies in Web Example

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Here is how the Maximum Ultimate Moment when Neutral Axis Lies in Web equation looks like with Values.

Here is how the Maximum Ultimate Moment when Neutral Axis Lies in Web equation looks like with Units.

Here is how the Maximum Ultimate Moment when Neutral Axis Lies in Web equation looks like.

9E+9 = 0.9 \cdot ((10 - 0.4) \cdot 250 \cdot (4 - \frac{25}{2}) + 0.4 \cdot 250 \cdot (4 - \frac{99.5}{2}))

9E+9N*m = 0.9 \cdot ((10m² - 0.4m²) \cdot 250MPa \cdot (4m - \frac{25mm}{2}) + 0.4m² \cdot 250MPa \cdot (4m - \frac{99.5mm}{2}))

9E+9 = 0.9 \cdot ((10 - 0.4) \cdot 250 \cdot (4 - \frac{25}{2}) + 0.4 \cdot 250 \cdot (4 - \frac{99.5}{2}))

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Maximum Ultimate Moment when Neutral Axis Lies in Web Solution

Follow our step by step solution on how to calculate Maximum Ultimate Moment when Neutral Axis Lies in Web?

FIRST Step Consider the formula

M u = 0.9 \cdot ((A - A st) \cdot fy steel \cdot (d eff - \frac{D equivalent}{2}) + A st \cdot fy steel \cdot (d eff - \frac{t f}{2}))

Next Step Substitute values of Variables

∴

M u = 0.9 \cdot ((10m² - 0.4m²) \cdot 250MPa \cdot (4m - \frac{25mm}{2}) + 0.4m² \cdot 250MPa \cdot (4m - \frac{99.5mm}{2}))

Next Step Convert Units

∴

M u = 0.9 \cdot ((10m² - 0.4m²) \cdot 2.5E+8Pa \cdot (4m - \frac{0.025m}{2}) + 0.4m² \cdot 2.5E+8Pa \cdot (4m - \frac{0.0995m}{2}))

Next Step Prepare to Evaluate

∴

M u = 0.9 \cdot ((10 - 0.4) \cdot 2.5E+8 \cdot (4 - \frac{0.025}{2}) + 0.4 \cdot 2.5E+8 \cdot (4 - \frac{0.0995}{2}))

Next Step Evaluate

∴

M u = 8968522500N*m

LAST Step Rounding Answer

∴

M u = 9E+9N*m

Maximum Ultimate Moment when Neutral Axis Lies in Web Formula Elements

Variables

Maximum Ultimate Moment

Maximum Ultimate Moment is the moment acting on the beam at its maximum capacity.

Symbol: M_u

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Maximum Ultimate Moment

Area of Tension Reinforcement

Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Tension Reinforcement

Tensile Steel Area for Strength

The Tensile Steel Area for Strength is the area of tensile steel required to develop the compressive strength of overhanging flange.

Symbol: A_st

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Tensile Steel Area for Strength

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

Effective Depth of Beam

Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.

Symbol: d_eff

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Depth of Beam

Equivalent Depth

Equivalent Depth is the depth of equivalent rectangular compressive stress distribution.

Symbol: D_equivalent

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Equivalent Depth

Flange Thickness

Flange Thickness is the thickness of flange in a protruded ridge, lip or rim, either external or internal of a beam such as an I-beam or a T-beam.

Symbol: t_f

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Flange Thickness

Other formulas in Flanged Sections category

Go Distance when Neutral Axis Lies in Flange

K d = \frac{1.18 \cdot ω \cdot d eff}{β1}

Go Depth when Neutral Axis is in Flange

d eff = K d \cdot \frac{β1}{1.18 \cdot ω}

How to Evaluate Maximum Ultimate Moment when Neutral Axis Lies in Web?

Maximum Ultimate Moment when Neutral Axis Lies in Web evaluator uses Maximum Ultimate Moment = 0.9*((Area of Tension Reinforcement-Tensile Steel Area for Strength)*Yield Strength of Steel*(Effective Depth of Beam-Equivalent Depth/2)+Tensile Steel Area for Strength*Yield Strength of Steel*(Effective Depth of Beam-Flange Thickness/2)) to evaluate the Maximum Ultimate Moment, The Maximum Ultimate Moment when Neutral Axis Lies in Web formula calculates the moment acting on the beam on its maximum capacity. Maximum Ultimate Moment is denoted by M_u symbol.

How to evaluate Maximum Ultimate Moment when Neutral Axis Lies in Web using this online evaluator? To use this online evaluator for Maximum Ultimate Moment when Neutral Axis Lies in Web, enter Area of Tension Reinforcement (A), Tensile Steel Area for Strength (A_st), Yield Strength of Steel (fy_steel), Effective Depth of Beam (d_eff), Equivalent Depth (D_equivalent) & Flange Thickness (t_f) and hit the calculate button.

FAQs on Maximum Ultimate Moment when Neutral Axis Lies in Web

What is the formula to find Maximum Ultimate Moment when Neutral Axis Lies in Web?

The formula of Maximum Ultimate Moment when Neutral Axis Lies in Web is expressed as Maximum Ultimate Moment = 0.9*((Area of Tension Reinforcement-Tensile Steel Area for Strength)*Yield Strength of Steel*(Effective Depth of Beam-Equivalent Depth/2)+Tensile Steel Area for Strength*Yield Strength of Steel*(Effective Depth of Beam-Flange Thickness/2)). Here is an example- 9E+9 = 0.9*((10-0.4)*250000000*(4-0.025/2)+0.4*250000000*(4-0.0995/2)).

How to calculate Maximum Ultimate Moment when Neutral Axis Lies in Web?

With Area of Tension Reinforcement (A), Tensile Steel Area for Strength (A_st), Yield Strength of Steel (fy_steel), Effective Depth of Beam (d_eff), Equivalent Depth (D_equivalent) & Flange Thickness (t_f) we can find Maximum Ultimate Moment when Neutral Axis Lies in Web using the formula - Maximum Ultimate Moment = 0.9*((Area of Tension Reinforcement-Tensile Steel Area for Strength)*Yield Strength of Steel*(Effective Depth of Beam-Equivalent Depth/2)+Tensile Steel Area for Strength*Yield Strength of Steel*(Effective Depth of Beam-Flange Thickness/2)).

Can the Maximum Ultimate Moment when Neutral Axis Lies in Web be negative?

No, the Maximum Ultimate Moment when Neutral Axis Lies in Web, measured in Moment of Force cannot be negative.

Which unit is used to measure Maximum Ultimate Moment when Neutral Axis Lies in Web?

Maximum Ultimate Moment when Neutral Axis Lies in Web is usually measured using the Newton Meter[N*m] for Moment of Force. Kilonewton Meter[N*m], Millinewton Meter[N*m], Micronewton Meter[N*m] are the few other units in which Maximum Ultimate Moment when Neutral Axis Lies in Web can be measured.

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Maximum Ultimate Moment when Neutral Axis Lies in Web Formula

Maximum Ultimate Moment when Neutral Axis Lies in Web Example

Maximum Ultimate Moment when Neutral Axis Lies in Web Solution

Maximum Ultimate Moment when Neutral Axis Lies in Web Formula Elements

Other formulas in Flanged Sections category

How to Evaluate Maximum Ultimate Moment when Neutral Axis Lies in Web?

FAQs on Maximum Ultimate Moment when Neutral Axis Lies in Web

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