Plastic Moment for SSB with load at distance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Plastic Moment for SSB with Load at a Distance = (Theoretical Load*Distance1*Distance2)/Overall Length of Beam
Mpsx = (Wu*a1*a2)/l
This formula uses 5 Variables
Variables Used
Plastic Moment for SSB with Load at a Distance - (Measured in Newton Meter) - Plastic Moment for SSB with Load at a Distance is considered in the case where the concentrated load is placed at a certain distance from one end of the support.
Theoretical Load - (Measured in Kilogram) - Theoretical Load or Nominal Load is the maximum load that the beam can support.
Distance1 - (Measured in Meter) - Distance1 is denoted as 'a' and it is the distance at which the point load is located from one end of the support in Simply supported beam.
Distance2 - (Measured in Meter) - Distance2 is denoted as 'b' and it is the distance between where the point load is acting to the other end of the support in the beam.
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
Distance1: 6 Meter --> 6 Meter No Conversion Required
Distance2: 4 Meter --> 4 Meter No Conversion Required
Overall Length of Beam: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mpsx = (Wu*a1*a2)/l --> (20*6*4)/10
Evaluating ... ...
Mpsx = 48
STEP 3: Convert Result to Output's Unit
48 Newton Meter --> No Conversion Required
FINAL ANSWER
48 Newton Meter <-- Plastic Moment for SSB with Load at a Distance
(Calculation completed in 00.020 seconds)

Credits

Creator Image
Created by Bhuvana Shankar
Parisutham Institute of Technology and Science (PITS), THANJAVUR
Bhuvana Shankar has created this Calculator and 10+ more calculators!
Verifier Image
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 load at distance Formula

​LaTeX ​Go
Plastic Moment for SSB with Load at a Distance = (Theoretical Load*Distance1*Distance2)/Overall Length of Beam
Mpsx = (Wu*a1*a2)/l

Formula Background

Kinematic Method: Δ = aθ=b θ1 or θ1=a/b θ
External work =Load × Deflection
= Wu×a θ
Internal Work = Moment ×Rotation
= Mp (θ + θ1)
By principle of virtual work
External Work done =Internal work done
Wu aθ = Mp (θ+θ1)
Wu a θ = Mp (θ+a/bθ)
Wu a θ = Mp θ(b+a)/b
Wu = MpL/ab

How to Calculate Plastic Moment for SSB with load at distance?

Plastic Moment for SSB with load at distance calculator uses Plastic Moment for SSB with Load at a Distance = (Theoretical Load*Distance1*Distance2)/Overall Length of Beam to calculate the Plastic Moment for SSB with Load at a Distance, The Plastic Moment for SSB with load at distance is calculated using Nominal load and total span of the beam when the load is placed at a certain distance from its end support. Plastic Moment for SSB with Load at a Distance is denoted by Mpsx symbol.

How to calculate Plastic Moment for SSB with load at distance using this online calculator? To use this online calculator for Plastic Moment for SSB with load at distance, enter Theoretical Load (Wu), Distance1 (a1), Distance2 (a2) & Overall Length of Beam (l) and hit the calculate button. Here is how the Plastic Moment for SSB with load at distance calculation can be explained with given input values -> 48 = (20*6*4)/10.

FAQ

What is Plastic Moment for SSB with load at distance?
The Plastic Moment for SSB with load at distance is calculated using Nominal load and total span of the beam when the load is placed at a certain distance from its end support and is represented as Mpsx = (Wu*a1*a2)/l or Plastic Moment for SSB with Load at a Distance = (Theoretical Load*Distance1*Distance2)/Overall Length of Beam. Theoretical Load or Nominal Load is the maximum load that the beam can support, Distance1 is denoted as 'a' and it is the distance at which the point load is located from one end of the support in Simply supported beam, Distance2 is denoted as 'b' and it is the distance between where the point load is acting to the other end of the support in the 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.
How to calculate Plastic Moment for SSB with load at distance?
The Plastic Moment for SSB with load at distance is calculated using Nominal load and total span of the beam when the load is placed at a certain distance from its end support is calculated using Plastic Moment for SSB with Load at a Distance = (Theoretical Load*Distance1*Distance2)/Overall Length of Beam. To calculate Plastic Moment for SSB with load at distance, you need Theoretical Load (Wu), Distance1 (a1), Distance2 (a2) & Overall Length of Beam (l). With our tool, you need to enter the respective value for Theoretical Load, Distance1, Distance2 & 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!