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Modifier for Moment Gradient Formula

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Moment Gradient Factor is rate at which moment is changing with length of beam. Check FAQs

C b = 1.75 + (1.05 \cdot (\frac{M 1}{M 2})) + (0.3 \cdot {(\frac{M 1}{M 2})}^{2})

C_b - Moment Gradient Factor?M₁ - Smaller Beam End Moment?M₂ - Larger Beam End Moment?

Modifier for Moment Gradient Example

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Here is how the Modifier for Moment Gradient equation looks like with Values.

Here is how the Modifier for Moment Gradient equation looks like with Units.

Here is how the Modifier for Moment Gradient equation looks like.

1.9609 = 1.75 + (1.05 \cdot (\frac{10}{52.5})) + (0.3 \cdot {(\frac{10}{52.5})}^{2})

1.9609 = 1.75 + (1.05 \cdot (\frac{10kN*m}{52.5kN*m})) + (0.3 \cdot {(\frac{10kN*m}{52.5kN*m})}^{2})

1.9609 = 1.75 + (1.05 \cdot (\frac{10}{52.5})) + (0.3 \cdot {(\frac{10}{52.5})}^{2})

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Modifier for Moment Gradient Solution

Follow our step by step solution on how to calculate Modifier for Moment Gradient?

FIRST Step Consider the formula

C b = 1.75 + (1.05 \cdot (\frac{M 1}{M 2})) + (0.3 \cdot {(\frac{M 1}{M 2})}^{2})

Next Step Substitute values of Variables

∴

C b = 1.75 + (1.05 \cdot (\frac{10kN*m}{52.5kN*m})) + (0.3 \cdot {(\frac{10kN*m}{52.5kN*m})}^{2})

Next Step Convert Units

∴

C b = 1.75 + (1.05 \cdot (\frac{10000N*m}{52500N*m})) + (0.3 \cdot {(\frac{10000N*m}{52500N*m})}^{2})

Next Step Prepare to Evaluate

∴

C b = 1.75 + (1.05 \cdot (\frac{10000}{52500})) + (0.3 \cdot {(\frac{10000}{52500})}^{2})

Next Step Evaluate

∴

C b = 1.9608843537415

LAST Step Rounding Answer

∴

C b = 1.9609

Modifier for Moment Gradient Formula Elements

Variables

Moment Gradient Factor

Moment Gradient Factor is rate at which moment is changing with length of beam.

Symbol: C_b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Moment Gradient Factor

Smaller Beam End Moment

Smaller Beam End Moment is the smaller moment on the section when beam is subjected to unequal end moments.

Symbol: M₁

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Smaller Beam End Moment

Larger Beam End Moment

Larger Beam End Moment is the bigger moment on the beam when it is subjected to unequal end moments.

Symbol: M₂

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Larger Beam End Moment

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How to Evaluate Modifier for Moment Gradient?

Modifier for Moment Gradient evaluator uses Moment Gradient Factor = 1.75+(1.05*(Smaller Beam End Moment/Larger Beam End Moment))+(0.3*(Smaller Beam End Moment/Larger Beam End Moment)^2) to evaluate the Moment Gradient Factor, The Modifier for Moment Gradient formula is defined as the two parameters, smaller end moment and larger end moment if the beam is subjected to two unequal end moments. Moment Gradient Factor is denoted by C_b symbol.

How to evaluate Modifier for Moment Gradient using this online evaluator? To use this online evaluator for Modifier for Moment Gradient, enter Smaller Beam End Moment (M₁) & Larger Beam End Moment (M₂) and hit the calculate button.

FAQs on Modifier for Moment Gradient

What is the formula to find Modifier for Moment Gradient?

The formula of Modifier for Moment Gradient is expressed as Moment Gradient Factor = 1.75+(1.05*(Smaller Beam End Moment/Larger Beam End Moment))+(0.3*(Smaller Beam End Moment/Larger Beam End Moment)^2). Here is an example- 1.960884 = 1.75+(1.05*(10000/52500))+(0.3*(10000/52500)^2).

How to calculate Modifier for Moment Gradient?

With Smaller Beam End Moment (M₁) & Larger Beam End Moment (M₂) we can find Modifier for Moment Gradient using the formula - Moment Gradient Factor = 1.75+(1.05*(Smaller Beam End Moment/Larger Beam End Moment))+(0.3*(Smaller Beam End Moment/Larger Beam End Moment)^2).

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Modifier for Moment Gradient Formula

Modifier for Moment Gradient Example

Modifier for Moment Gradient Solution

Modifier for Moment Gradient Formula Elements

Other formulas in Allowable Stress Design for Building Beams category

How to Evaluate Modifier for Moment Gradient?

FAQs on Modifier for Moment Gradient

Variable Name