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Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge Formula

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Distance of point where Moment is Maximum is the distance from a point where moment is maximum in the interior span. Check FAQs

x = (\frac{Len}{2}) - (\frac{k \cdot M p}{q \cdot Len})

x - Distance of point where Moment is Maximum?Len - Length of Rectangular Beam?k - Ratio between Plastic Moments?M_p - Plastic Moment?q - Uniformly Distributed Load?

Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge Example

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Here is how the Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge equation looks like with Values.

Here is how the Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge equation looks like with Units.

Here is how the Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge equation looks like.

1.2498 = (\frac{3}{2}) - (\frac{0.75 \cdot 10.007}{10.0006 \cdot 3})

1.2498m = (\frac{3m}{2}) - (\frac{0.75 \cdot 10.007kN*m}{10.0006kN/m \cdot 3m})

1.2498 = (\frac{3}{2}) - (\frac{0.75 \cdot 10.007}{10.0006 \cdot 3})

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Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge Solution

Follow our step by step solution on how to calculate Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge?

FIRST Step Consider the formula

x = (\frac{Len}{2}) - (\frac{k \cdot M p}{q \cdot Len})

Next Step Substitute values of Variables

∴

x = (\frac{3m}{2}) - (\frac{0.75 \cdot 10.007kN*m}{10.0006kN/m \cdot 3m})

Next Step Convert Units

∴

x = (\frac{3m}{2}) - (\frac{0.75 \cdot 10007N*m}{10000.6N/m \cdot 3m})

Next Step Prepare to Evaluate

∴

x = (\frac{3}{2}) - (\frac{0.75 \cdot 10007}{10000.6 \cdot 3})

Next Step Evaluate

∴

x = 1.24984000959942m

LAST Step Rounding Answer

∴

x = 1.2498m

Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge Formula Elements

Variables

Distance of point where Moment is Maximum

Distance of point where Moment is Maximum is the distance from a point where moment is maximum in the interior span.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance of point where Moment is Maximum

Length of Rectangular Beam

Length of Rectangular Beam is the measurement or extent of something from end to end.

Symbol: Len

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Rectangular Beam

Ratio between Plastic Moments

Ratio between Plastic Moments is the ratio of plastic moment at the ends to the plastic moment at the center.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio between Plastic Moments

Plastic Moment

Plastic Moment is the moment at which the entire cross section has reached its yield stress.

Symbol: M_p

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Plastic Moment

Uniformly Distributed Load

Uniformly distributed Load (UDL) is a load that is distributed or spread across the whole region of an element whose magnitude of the load remains uniform throughout the whole element.

Symbol: q

Measurement: Surface TensionUnit: kN/m

Note: Value should be greater than 0.

Formulas to find Uniformly Distributed Load

Other formulas in Continuous Beams category

Go Condition for Maximum Moment in Interior Spans of Beams

x'' = (\frac{Len}{2}) - (\frac{M max}{q \cdot Len})

Go Ultimate Load for Continuous Beam

U = \frac{4 \cdot M p \cdot (1 + k)}{Len}

Go Absolute Value of Maximum Moment in Unbraced Beam Segment

M'max = \frac{M coeff \cdot ((3 \cdot M A) + (4 \cdot M B) + (3 \cdot M C))}{12.5 - (M coeff \cdot 2.5)}

How to Evaluate Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge?

Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge evaluator uses Distance of point where Moment is Maximum = (Length of Rectangular Beam/2)-((Ratio between Plastic Moments*Plastic Moment)/(Uniformly Distributed Load*Length of Rectangular Beam)) to evaluate the Distance of point where Moment is Maximum, The Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge formula is defined as the distance of a point from the support where the moment is maximum after the formation of a plastic hinge. Distance of point where Moment is Maximum is denoted by x symbol.

How to evaluate Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge using this online evaluator? To use this online evaluator for Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge, enter Length of Rectangular Beam (Len), Ratio between Plastic Moments (k), Plastic Moment (M_p) & Uniformly Distributed Load (q) and hit the calculate button.

FAQs on Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge

What is the formula to find Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge?

The formula of Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge is expressed as Distance of point where Moment is Maximum = (Length of Rectangular Beam/2)-((Ratio between Plastic Moments*Plastic Moment)/(Uniformly Distributed Load*Length of Rectangular Beam)). Here is an example- 1.250015 = (3/2)-((0.75*10007)/(10000.6*3)).

How to calculate Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge?

With Length of Rectangular Beam (Len), Ratio between Plastic Moments (k), Plastic Moment (M_p) & Uniformly Distributed Load (q) we can find Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge using the formula - Distance of point where Moment is Maximum = (Length of Rectangular Beam/2)-((Ratio between Plastic Moments*Plastic Moment)/(Uniformly Distributed Load*Length of Rectangular Beam)).

Can the Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge be negative?

No, the Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge, measured in Length cannot be negative.

Which unit is used to measure Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge?

Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge can be measured.

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Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge Formula

Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge Example

Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge Solution

Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge Formula Elements

Other formulas in Continuous Beams category

How to Evaluate Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge?

FAQs on Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge

Variable Name