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Plastic Moment for Propped cantilever Formula

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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. Check FAQs

Mp prop = W u \cdot a 1 \cdot \frac{a 2}{l + a 2}

Mp_prop - Plastic Moment for Propped Cantilever?W_u - Theoretical Load?a₁ - Distance1?a₂ - Distance2?l - Overall Length of Beam?

Plastic Moment for Propped cantilever Example

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Here is how the Plastic Moment for Propped cantilever equation looks like with Values.

Here is how the Plastic Moment for Propped cantilever equation looks like with Units.

Here is how the Plastic Moment for Propped cantilever equation looks like.

34.2857 = 20 \cdot 6 \cdot \frac{4}{10 + 4}

34.2857N*m = 20kg \cdot 6m \cdot \frac{4m}{10m + 4m}

34.2857 = 20 \cdot 6 \cdot \frac{4}{10 + 4}

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Plastic Moment for Propped cantilever Solution

Follow our step by step solution on how to calculate Plastic Moment for Propped cantilever?

FIRST Step Consider the formula

Mp prop = W u \cdot a 1 \cdot \frac{a 2}{l + a 2}

Next Step Substitute values of Variables

∴

Mp prop = 20kg \cdot 6m \cdot \frac{4m}{10m + 4m}

Next Step Prepare to Evaluate

∴

Mp prop = 20 \cdot 6 \cdot \frac{4}{10 + 4}

Next Step Evaluate

∴

Mp prop = 34.2857142857143N*m

LAST Step Rounding Answer

∴

Mp prop = 34.2857N*m

Plastic Moment for Propped cantilever Formula Elements

Variables

Plastic Moment for Propped Cantilever

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.

Symbol: Mp_prop

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Plastic Moment for Propped Cantilever

Theoretical Load

Theoretical Load or Nominal Load is the maximum load that the beam can support.

Symbol: W_u

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Theoretical Load

Distance1

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.

Symbol: a₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance1

Distance2

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.

Symbol: a₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance2

Overall Length of 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.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Overall Length of Beam

Other formulas in Plastic Analysis category

Go Plastic Moment for Rectangular Section

Mp r = (\frac{b \cdot {D b}^{2}}{4}) \cdot fy

Go Plastic Moment for Circular section

Mp c = (\frac{D^{3}}{6}) \cdot fy

Go Plastic Moment for SSB with Point load at center

Mp sc = \frac{W u \cdot l}{4}

Go Plastic Moment for SSB with load at distance

Mp sx = \frac{W u \cdot a 1 \cdot a 2}{l}

How to Evaluate Plastic Moment for Propped cantilever?

Plastic Moment for Propped cantilever evaluator uses Plastic Moment for Propped Cantilever = Theoretical Load*Distance1*Distance2/(Overall Length of Beam+Distance2) to evaluate 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 evaluate Plastic Moment for Propped cantilever using this online evaluator? To use this online evaluator 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.

FAQs on Plastic Moment for Propped cantilever

What is the formula to find Plastic Moment for Propped cantilever?

The formula of Plastic Moment for Propped cantilever is expressed as Plastic Moment for Propped Cantilever = Theoretical Load*Distance1*Distance2/(Overall Length of Beam+Distance2). Here is an example- 34.28571 = 20*6*4/(10+4).

How to calculate Plastic Moment for Propped cantilever?

With Theoretical Load (W_u), Distance1 (a₁), Distance2 (a₂) & Overall Length of Beam (l) we can find Plastic Moment for Propped cantilever using the formula - Plastic Moment for Propped Cantilever = Theoretical Load*Distance1*Distance2/(Overall Length of Beam+Distance2).

Can the Plastic Moment for Propped cantilever be negative?

No, the Plastic Moment for Propped cantilever, measured in Moment of Force cannot be negative.

Which unit is used to measure Plastic Moment for Propped cantilever?

Plastic Moment for Propped cantilever is usually measured using the Newton Meter[N*m] for Moment of Force. Kilonewton Meter[N*m], Millinewton Meter[N*m], Micronewton Meter[N*m] are the few other units in which Plastic Moment for Propped cantilever can be measured.

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Plastic Moment for Propped cantilever Formula

Plastic Moment for Propped cantilever Example

Plastic Moment for Propped cantilever Solution

Plastic Moment for Propped cantilever Formula Elements

Other formulas in Plastic Analysis category

How to Evaluate Plastic Moment for Propped cantilever?

FAQs on Plastic Moment for Propped cantilever

Variable Name