Plastic Moment for SSB 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 SSB with UDL is taken when the plastic moment capacity of the simply supported beam while the uniformly distributed load is acting throughout the span is required.ⓘ Plastic Moment for SSB with UDL [Mp_udl]

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Formula

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Plastic Moment for SSB with UDL

Formula

`"Mp"_{"udl"} = ("W"_{"u"}*"l")/8`

Example

`"25N*m"=("20kg"*"10m")/8`

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Plastic Moment for SSB with UDL Solution

STEP 0: Pre-Calculation Summary

Formula Used

Plastic Moment for SSB with UDL = (Theoretical Load*Overall Length of Beam)/8
Mp_udl = (W_u*l)/8
This formula uses 3 Variables

Variables Used

Plastic Moment for SSB with UDL - (Measured in Newton Meter) - Plastic Moment for SSB with UDL is taken when the plastic moment capacity of the simply supported beam while the uniformly distributed load is acting throughout the span 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_udl = (W_u*l)/8 --> (20*10)/8

Evaluating ... ...

Mp_udl = 25

STEP 3: Convert Result to Output's Unit

25 Newton Meter --> No Conversion Required

FINAL ANSWER

25 Newton Meter <-- Plastic Moment for SSB with UDL

(Calculation completed in 00.004 seconds)

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< 8 Plastic Analysis Calculators

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Go Plastic Moment for Propped Cantilever = Theoretical Load*Distance1*Distance2/(Overall Length of Beam+Distance2)

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Go Plastic Moment for SSB with Load at a Distance = (Theoretical Load*Distance1*Distance2)/Overall Length of Beam

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Go Plastic Moment for a Rectangular Section = ((Width of Rectangular Beam*Depth of Rectangle Beam^2)/4)*Yield Stress of a Section

Plastic Moment for Circular section

Go Plastic Moment Capacity of Circular Section = (Diameter of Circle^3/6)*Yield Stress of a Section

Plastic Moment for Fixed Beam with Load at its Center

Go Plastic Moment for Fixed Beam with Load at Center = (Theoretical Load*Overall Length of Beam)/8

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 SSB with UDL Formula

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

Formula Background

Static Method: WuL/8 = Mp
Or Wu= 8Mp/L
Kinematic Method: Δ = θ L/2
External work = Load × AVERAGE Deflection
Internal Work = Moment ×Rotation
Wu 1/2 (L/2 θ) = Mp (θ+θ)
Wu = 8 Mp/L

How to Calculate Plastic Moment for SSB with UDL?

Plastic Moment for SSB with UDL calculator uses Plastic Moment for SSB with UDL = (Theoretical Load*Overall Length of Beam)/8 to calculate the Plastic Moment for SSB with UDL, The Plastic Moment for SSB with UDL is calculated using the nominal load and span of the beam when the Uniformly distribute load is located throughout the span of simple supported beam. Plastic Moment for SSB with UDL is denoted by Mp_udl symbol.

How to calculate Plastic Moment for SSB with UDL using this online calculator? To use this online calculator for Plastic Moment for SSB with UDL, enter Theoretical Load (W_u) & Overall Length of Beam (l) and hit the calculate button. Here is how the Plastic Moment for SSB with UDL calculation can be explained with given input values -> 25 = (20*10)/8.

FAQ

What is Plastic Moment for SSB with UDL?

The Plastic Moment for SSB with UDL is calculated using the nominal load and span of the beam when the Uniformly distribute load is located throughout the span of simple supported beam and is represented as Mp_udl = (W_u*l)/8 or Plastic Moment for SSB with UDL = (Theoretical Load*Overall Length of Beam)/8. 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 SSB with UDL?

The Plastic Moment for SSB with UDL is calculated using the nominal load and span of the beam when the Uniformly distribute load is located throughout the span of simple supported beam is calculated using Plastic Moment for SSB with UDL = (Theoretical Load*Overall Length of Beam)/8. To calculate Plastic Moment for SSB 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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