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Plastic Moment for Fixed Beam with UDL Formula

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Plastic Moment for Fixed Beam with UDL is taken when the Plastic moment capacity for fixed beam with uniformly distributed load acting throughout the span of the beam is required. Check FAQs

Mp F = \frac{W u \cdot l}{16}

Mp_F - Plastic Moment for Fixed Beam with UDL?W_u - Theoretical Load?l - Overall Length of Beam?

Plastic Moment for Fixed Beam with UDL Example

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Here is how the Plastic Moment for Fixed Beam with UDL equation looks like with Values.

Here is how the Plastic Moment for Fixed Beam with UDL equation looks like with Units.

Here is how the Plastic Moment for Fixed Beam with UDL equation looks like.

12.5 = \frac{20 \cdot 10}{16}

12.5N*m = \frac{20kg \cdot 10m}{16}

12.5 = \frac{20 \cdot 10}{16}

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Plastic Moment for Fixed Beam with UDL Solution

Follow our step by step solution on how to calculate Plastic Moment for Fixed Beam with UDL?

FIRST Step Consider the formula

Mp F = \frac{W u \cdot l}{16}

Next Step Substitute values of Variables

∴

Mp F = \frac{20kg \cdot 10m}{16}

Next Step Prepare to Evaluate

∴

Mp F = \frac{20 \cdot 10}{16}

LAST Step Evaluate

∴

Mp F = 12.5N*m

Plastic Moment for Fixed Beam with UDL Formula Elements

Variables

Plastic Moment for Fixed Beam with UDL

Plastic Moment for Fixed Beam with UDL is taken when the Plastic moment capacity for fixed beam with uniformly distributed load acting throughout the span of the beam is required.

Symbol: Mp_F

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Plastic Moment for Fixed Beam with UDL

Theoretical Load

Theoretical Load or Nominal Load is the maximum load that the beam can support.

Symbol: W_u

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Theoretical Load

Overall Length of Beam

Overall Length of Beam is the total span of the beam in the structure whereas Effective length is the distance between the centers of bearing supports.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Overall Length of Beam

Other formulas in Plastic Analysis category

Go Plastic Moment for Rectangular Section

Mp r = (\frac{b \cdot {D b}^{2}}{4}) \cdot fy

Go Plastic Moment for Circular section

Mp c = (\frac{D^{3}}{6}) \cdot fy

Go Plastic Moment for SSB with Point load at center

Mp sc = \frac{W u \cdot l}{4}

Go Plastic Moment for SSB with load at distance

Mp sx = \frac{W u \cdot a 1 \cdot a 2}{l}

How to Evaluate Plastic Moment for Fixed Beam with UDL?

Plastic Moment for Fixed Beam with UDL evaluator uses Plastic Moment for Fixed Beam with UDL = (Theoretical Load*Overall Length of Beam)/16 to evaluate the Plastic Moment for Fixed Beam with UDL, The Plastic Moment for Fixed Beam with UDL is calculated using the nominal load and span of the beam when the Uniformly Distributed Load is acting through out the span of the beam. Plastic Moment for Fixed Beam with UDL is denoted by Mp_F symbol.

How to evaluate Plastic Moment for Fixed Beam with UDL using this online evaluator? To use this online evaluator for Plastic Moment for Fixed Beam with UDL, enter Theoretical Load (W_u) & Overall Length of Beam (l) and hit the calculate button.

FAQs on Plastic Moment for Fixed Beam with UDL

What is the formula to find Plastic Moment for Fixed Beam with UDL?

The formula of Plastic Moment for Fixed Beam with UDL is expressed as Plastic Moment for Fixed Beam with UDL = (Theoretical Load*Overall Length of Beam)/16. Here is an example- 12.5 = (20*10)/16.

How to calculate Plastic Moment for Fixed Beam with UDL?

With Theoretical Load (W_u) & Overall Length of Beam (l) we can find Plastic Moment for Fixed Beam with UDL using the formula - Plastic Moment for Fixed Beam with UDL = (Theoretical Load*Overall Length of Beam)/16.

Can the Plastic Moment for Fixed Beam with UDL be negative?

No, the Plastic Moment for Fixed Beam with UDL, measured in Moment of Force cannot be negative.

Which unit is used to measure Plastic Moment for Fixed Beam with UDL?

Plastic Moment for Fixed Beam with UDL 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 Plastic Moment for Fixed Beam with UDL can be measured.

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