Plastic Moment for Fixed Beam with UDL Calculator

✖Theoretical Load or Nominal Load is the maximum load that the beam can support.ⓘ Theoretical Load [W_u]			+10% -10%
✖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.ⓘ Overall Length of Beam [l]			+10% -10%

✖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.ⓘ Plastic Moment for Fixed Beam with UDL [Mp_F]

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Formula

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Plastic Moment for Fixed Beam with UDL

Formula

`"Mp"_{"F"} = ("W"_{"u"}*"l")/16`

Example

`"12.5N*m"=("20kg"*"10m")/16`

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Plastic Moment for Fixed Beam with UDL Solution

STEP 0: Pre-Calculation Summary

Formula Used

Plastic Moment for Fixed Beam with UDL = (Theoretical Load*Overall Length of Beam)/16
Mp_F = (W_u*l)/16
This formula uses 3 Variables

Variables Used

Plastic Moment for Fixed Beam with UDL - (Measured in Newton Meter) - 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.
Theoretical Load - (Measured in Kilogram) - Theoretical Load or Nominal Load is the maximum load that the beam can support.
Overall Length of Beam - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Theoretical Load: 20 Kilogram --> 20 Kilogram No Conversion Required
Overall Length of Beam: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mp_F = (W_u*l)/16 --> (20*10)/16

Evaluating ... ...

Mp_F = 12.5

STEP 3: Convert Result to Output's Unit

12.5 Newton Meter --> No Conversion Required

FINAL ANSWER

12.5 Newton Meter <-- Plastic Moment for Fixed Beam with UDL

(Calculation completed in 00.004 seconds)

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Plastic Moment for SSB with Point load at center

Go Plastic Moment for SSB with Load at Center = (Theoretical Load*Overall Length of Beam)/4

Plastic Moment for Fixed Beam with UDL

Go Plastic Moment for Fixed Beam with UDL = (Theoretical Load*Overall Length of Beam)/16

Plastic Moment for SSB with UDL

Go Plastic Moment for SSB with UDL = (Theoretical Load*Overall Length of Beam)/8

Plastic Moment for Fixed Beam with UDL Formula

Plastic Moment for Fixed Beam with UDL = (Theoretical Load*Overall Length of Beam)/16
Mp_F = (W_u*l)/16

Formula Background

Static Method : WuL/8 = 2Mp
Or Wu= 16Mp/L
Kinematic Method :Δ = θ L/2
External work =Load × average Deflection
= Wu×1/2 × θL/2
Internal Work = Moment × Rotation
= Mpθ+ Mp (θ + θ) + Mpθ
By principle of virtual work
External Work done = Internal work done
Wu× 1/2 ×(L/2 θ) = 4Mpθ
Wu =16Mp/L

How to Calculate Plastic Moment for Fixed Beam with UDL?

Plastic Moment for Fixed Beam with UDL calculator uses Plastic Moment for Fixed Beam with UDL = (Theoretical Load*Overall Length of Beam)/16 to calculate 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 calculate Plastic Moment for Fixed Beam with UDL using this online calculator? To use this online calculator for Plastic Moment for Fixed Beam with UDL, enter Theoretical Load (W_u) & Overall Length of Beam (l) and hit the calculate button. Here is how the Plastic Moment for Fixed Beam with UDL calculation can be explained with given input values -> 12.5 = (20*10)/16.

FAQ

What is 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 and is represented as Mp_F = (W_u*l)/16 or Plastic Moment for Fixed Beam with UDL = (Theoretical Load*Overall Length of Beam)/16. Theoretical Load or Nominal Load is the maximum load that the beam can support & 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.

How to calculate 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 is calculated using Plastic Moment for Fixed Beam with UDL = (Theoretical Load*Overall Length of Beam)/16. To calculate Plastic Moment for Fixed Beam with UDL, you need Theoretical Load (W_u) & Overall Length of Beam (l). With our tool, you need to enter the respective value for Theoretical Load & Overall Length of Beam and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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