Plastic Moment for Propped cantilever 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 Propped Cantilever is considered in the case where the concentrated load is placed at a certain distance from one end of the support in the beam.ⓘ Plastic Moment for Propped cantilever [Mp_prop]

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Plastic Moment for Propped cantilever

Formula

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

Example

`"34.28571N*m"="20kg"*"6m"*"4m"/("10m"+"4m")`

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Plastic Moment for Propped cantilever Solution

STEP 0: Pre-Calculation Summary

Formula Used

Plastic Moment for Propped Cantilever = Theoretical Load*Distance1*Distance2/(Overall Length of Beam+Distance2)
Mp_prop = W_u*a₁*a₂/(l+a₂)
This formula uses 5 Variables

Variables Used

Plastic Moment for Propped Cantilever - (Measured in Newton Meter) - Plastic Moment for Propped Cantilever is considered in the case where the concentrated load is placed at a certain distance from one end of the support in the beam.
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_prop = W_u*a₁*a₂/(l+a₂) --> 20*6*4/(10+4)

Evaluating ... ...

Mp_prop = 34.2857142857143

STEP 3: Convert Result to Output's Unit

34.2857142857143 Newton Meter --> No Conversion Required

FINAL ANSWER

34.2857142857143 ≈ 34.28571 Newton Meter <-- Plastic Moment for Propped Cantilever

(Calculation completed in 00.020 seconds)

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< 8 Plastic Analysis Calculators

Plastic Moment for Propped cantilever

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

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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 Propped cantilever Formula

Plastic Moment for Propped Cantilever = Theoretical Load*Distance1*Distance2/(Overall Length of Beam+Distance2)
Mp_prop = W_u*a₁*a₂/(l+a₂)

Plastic Hinge in Propped cantilever

• The propped beam of is an example of a structure that will fail after two plastic hinges develop.
• Three hinges are required for collapse, but there is a real hinge on the right end.
• In this beam the largest elastic moment caused by the design concentrated load is at the fixed end.
• As the magnitude of the load is increased a plastic hinge will form at that point.

How to Calculate Plastic Moment for Propped cantilever?

Plastic Moment for Propped cantilever calculator uses Plastic Moment for Propped Cantilever = Theoretical Load*Distance1*Distance2/(Overall Length of Beam+Distance2) to calculate the Plastic Moment for Propped Cantilever, The Plastic Moment for Propped cantilever is calculated using the nominal load and span of the ea when the concentrated load is acting at a certain distance between the supports. Plastic Moment for Propped Cantilever is denoted by Mp_prop symbol.

How to calculate Plastic Moment for Propped cantilever using this online calculator? To use this online calculator for Plastic Moment for Propped cantilever, 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 Propped cantilever calculation can be explained with given input values -> 34.28571 = 20*6*4/(10+4).

FAQ

What is Plastic Moment for Propped cantilever?

The Plastic Moment for Propped cantilever is calculated using the nominal load and span of the ea when the concentrated load is acting at a certain distance between the supports and is represented as Mp_prop = W_u*a₁*a₂/(l+a₂) or Plastic Moment for Propped Cantilever = Theoretical Load*Distance1*Distance2/(Overall Length of Beam+Distance2). 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 Propped cantilever?

The Plastic Moment for Propped cantilever is calculated using the nominal load and span of the ea when the concentrated load is acting at a certain distance between the supports is calculated using Plastic Moment for Propped Cantilever = Theoretical Load*Distance1*Distance2/(Overall Length of Beam+Distance2). To calculate Plastic Moment for Propped cantilever, 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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