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Condition for Maximum Moment in Interior Spans of Beams Formula

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Point of Maximum Moment is the distance of the point from the support where bending moment of beam is maximum. Check FAQs

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

x'' - Point of Maximum Moment?Len - Length of Rectangular Beam?M_max - Maximum Bending Moment?q - Uniformly Distributed Load?

Condition for Maximum Moment in Interior Spans of Beams Example

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

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

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

1.4997 = (\frac{3}{2}) - (\frac{10.03}{10.0006 \cdot 3})

1.4997m = (\frac{3m}{2}) - (\frac{10.03N*m}{10.0006kN/m \cdot 3m})

1.4997 = (\frac{3}{2}) - (\frac{10.03}{10.0006 \cdot 3})

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Condition for Maximum Moment in Interior Spans of Beams Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

x'' = (\frac{3m}{2}) - (\frac{10.03N*m}{10.0006kN/m \cdot 3m})

Next Step Convert Units

∴

x'' = (\frac{3m}{2}) - (\frac{10.03N*m}{10000.6N/m \cdot 3m})

Next Step Prepare to Evaluate

∴

x'' = (\frac{3}{2}) - (\frac{10.03}{10000.6 \cdot 3})

Next Step Evaluate

∴

x'' = 1.49966568672546m

LAST Step Rounding Answer

∴

x'' = 1.4997m

Condition for Maximum Moment in Interior Spans of Beams Formula Elements

Variables

Point of Maximum Moment

Point of Maximum Moment is the distance of the point from the support where bending moment of beam is maximum.

Symbol: x''

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Point of Maximum Moment

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

Maximum Bending Moment

The Maximum Bending Moment is the absolute value of the maximum moment in the unbraced beam segment.

Symbol: M_max

Measurement: Moment of ForceUnit: N*m

Note: Value can be positive or negative.

Formulas to find Maximum Bending 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 with Plastic Hinge

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

Condition for Maximum Moment in Interior Spans of Beams evaluator uses Point of Maximum Moment = (Length of Rectangular Beam/2)-(Maximum Bending Moment/(Uniformly Distributed Load*Length of Rectangular Beam)) to evaluate the Point of Maximum Moment, The Condition for Maximum Moment in Interior Spans of Beams formula is defined as the distance from the support where the bending moment of a beam carrying uniformly distributed load is maximum and where the shear force is zero. Point of Maximum Moment is denoted by x'' symbol.

How to evaluate Condition for Maximum Moment in Interior Spans of Beams using this online evaluator? To use this online evaluator for Condition for Maximum Moment in Interior Spans of Beams, enter Length of Rectangular Beam (Len), Maximum Bending Moment (M_max) & Uniformly Distributed Load (q) and hit the calculate button.

FAQs on Condition for Maximum Moment in Interior Spans of Beams

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

The formula of Condition for Maximum Moment in Interior Spans of Beams is expressed as Point of Maximum Moment = (Length of Rectangular Beam/2)-(Maximum Bending Moment/(Uniformly Distributed Load*Length of Rectangular Beam)). Here is an example- 1.499666 = (3/2)-(10.03/(10000.6*3)).

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

With Length of Rectangular Beam (Len), Maximum Bending Moment (M_max) & Uniformly Distributed Load (q) we can find Condition for Maximum Moment in Interior Spans of Beams using the formula - Point of Maximum Moment = (Length of Rectangular Beam/2)-(Maximum Bending Moment/(Uniformly Distributed Load*Length of Rectangular Beam)).

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

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

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

Condition for Maximum Moment in Interior Spans of Beams 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 can be measured.

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Condition for Maximum Moment in Interior Spans of Beams Formula

Condition for Maximum Moment in Interior Spans of Beams Example

Condition for Maximum Moment in Interior Spans of Beams Solution

Condition for Maximum Moment in Interior Spans of Beams Formula Elements

Other formulas in Continuous Beams category

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

FAQs on Condition for Maximum Moment in Interior Spans of Beams

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