Plastic Moment for Fixed Beam with Load at its Center 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 Load at Center is considered in the case where the concentrated load is placed at equal distance in the beam.ⓘ Plastic Moment for Fixed Beam with Load at its Center [Mp_f]

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Plastic Moment for Fixed Beam with Load at its Center Solution

STEP 0: Pre-Calculation Summary

Formula Used

Plastic Moment for Fixed Beam with Load at Center = (Theoretical Load*Overall Length of Beam)/8
Mp_f = (W_u*l)/8
This formula uses 3 Variables

Variables Used

Plastic Moment for Fixed Beam with Load at Center - (Measured in Newton Meter) - Plastic Moment for Fixed Beam with Load at Center is considered in the case where the concentrated load is placed at equal distance in the beam.
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)/8 --> (20*10)/8

Evaluating ... ...

Mp_f = 25

STEP 3: Convert Result to Output's Unit

25 Newton Meter --> No Conversion Required

FINAL ANSWER

25 Newton Meter <-- Plastic Moment for Fixed Beam with Load at Center

(Calculation completed in 00.020 seconds)

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Created by Bhuvana Shankar

Parisutham Institute of Technology and Science (PITS), THANJAVUR

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Plastic Moment for SSB with Point load at center

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Plastic Moment for Fixed Beam with Load at its Center Formula

LaTeX Go

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

Formula Background

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

How to Calculate Plastic Moment for Fixed Beam with Load at its Center?

Plastic Moment for Fixed Beam with Load at its Center calculator uses Plastic Moment for Fixed Beam with Load at Center = (Theoretical Load*Overall Length of Beam)/8 to calculate the Plastic Moment for Fixed Beam with Load at Center, The Plastic Moment for Fixed Beam with Load at its Center is calculated by considering nominal load and overall span of the beam. This is done when the beam is subjected to concentrated load located centrally. Plastic Moment for Fixed Beam with Load at Center is denoted by Mp_f symbol.

How to calculate Plastic Moment for Fixed Beam with Load at its Center using this online calculator? To use this online calculator for Plastic Moment for Fixed Beam with Load at its Center, 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 Load at its Center calculation can be explained with given input values -> 25 = (20*10)/8.

FAQ

What is Plastic Moment for Fixed Beam with Load at its Center?

The Plastic Moment for Fixed Beam with Load at its Center is calculated by considering nominal load and overall span of the beam. This is done when the beam is subjected to concentrated load located centrally and is represented as Mp_f = (W_u*l)/8 or Plastic Moment for Fixed Beam with Load at Center = (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 Fixed Beam with Load at its Center?

The Plastic Moment for Fixed Beam with Load at its Center is calculated by considering nominal load and overall span of the beam. This is done when the beam is subjected to concentrated load located centrally is calculated using Plastic Moment for Fixed Beam with Load at Center = (Theoretical Load*Overall Length of Beam)/8. To calculate Plastic Moment for Fixed Beam with Load at its Center, 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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