Plastic Moment for SSB with load at distance Calculator

✖Theoretical Load or Nominal Load is the maximum load that the beam can support.ⓘ Theoretical Load [W_u]			+10% -10%
✖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.ⓘ Distance1 [a₁]			+10% -10%
✖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.ⓘ Distance2 [a₂]			+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 a Distance is considered in the case where the concentrated load is placed at a certain distance from one end of the support.ⓘ Plastic Moment for SSB with load at distance [Mp_sx]

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Plastic Moment for SSB with load at distance

Formula

`"Mp"_{"sx"} = ("W"_{"u"}*"a"_{"1"}*"a"_{"2"})/"l"`

Example

`"48N*m"=("20kg"*"6m"*"4m")/"10m"`

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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
Mp_sx = (W_u*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

Mp_sx = (W_u*a₁*a₂)/l --> (20*6*4)/10

Evaluating ... ...

Mp_sx = 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 00.004 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)

Plastic Moment for SSB with load at distance

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

Plastic Moment for Rectangular Section

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 load at distance Formula

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

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