Plastic Moment for SSB with Point load at 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 SSB with Load at Center is taken when the plastic moment capacity of the simply supported beam while the point load is acting at its center is required.ⓘ Plastic Moment for SSB with Point load at center [Mp_sc]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Design of Steel Structures Formula PDF PDF Image

Plastic Moment for SSB with Point load at center Solution

STEP 0: Pre-Calculation Summary

Formula Used

Plastic Moment for SSB with Load at Center = (Theoretical Load*Overall Length of Beam)/4
Mp_sc = (W_u*l)/4
This formula uses 3 Variables

Variables Used

Plastic Moment for SSB with Load at Center - (Measured in Newton Meter) - Plastic Moment for SSB with Load at Center is taken when the plastic moment capacity of the simply supported beam while the point load is acting at its center 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_sc = (W_u*l)/4 --> (20*10)/4

Evaluating ... ...

Mp_sc = 50

STEP 3: Convert Result to Output's Unit

50 Newton Meter --> No Conversion Required

FINAL ANSWER

50 Newton Meter <-- Plastic Moment for SSB with Load at Center

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Design of Steel Structures » Plastic Analysis » Plastic Moment for SSB with Point load at center

Credits

Created by Bhuvana Shankar

Parisutham Institute of Technology and Science (PITS), THANJAVUR

Bhuvana Shankar has created this Calculator and 10+ more calculators!

Verified by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

Ayush Singh has verified this Calculator and 100+ more calculators!

< Plastic Analysis Calculators

Plastic Moment for SSB with load at distance

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

Plastic Moment for Rectangular Section

LaTeX 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

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

Plastic Moment for SSB with Point load at center

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

Plastic Moment for SSB with Point load at center Formula

LaTeX Go

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

Formula Background

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

How to Calculate Plastic Moment for SSB with Point load at center?

Plastic Moment for SSB with Point load at center calculator uses Plastic Moment for SSB with Load at Center = (Theoretical Load*Overall Length of Beam)/4 to calculate the Plastic Moment for SSB with Load at Center, The Plastic Moment for SSB with Point load at center is calculated using the nominal load and span of the beam when the point load is centrally located in simple supported beam. Plastic Moment for SSB with Load at Center is denoted by Mp_sc symbol.

How to calculate Plastic Moment for SSB with Point load at center using this online calculator? To use this online calculator for Plastic Moment for SSB with Point load at center, enter Theoretical Load (W_u) & Overall Length of Beam (l) and hit the calculate button. Here is how the Plastic Moment for SSB with Point load at center calculation can be explained with given input values -> 50 = (20*10)/4.

FAQ

What is Plastic Moment for SSB with Point load at center?

The Plastic Moment for SSB with Point load at center is calculated using the nominal load and span of the beam when the point load is centrally located in simple supported beam and is represented as Mp_sc = (W_u*l)/4 or Plastic Moment for SSB with Load at Center = (Theoretical Load*Overall Length of Beam)/4. 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 Point load at center?

The Plastic Moment for SSB with Point load at center is calculated using the nominal load and span of the beam when the point load is centrally located in simple supported beam is calculated using Plastic Moment for SSB with Load at Center = (Theoretical Load*Overall Length of Beam)/4. To calculate Plastic Moment for SSB with Point load at 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.

Home

FREE PDFs

🔍 Search