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Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges Formula

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Max Unbraced Length for Flexural Compact Section is the maximum distance along the member between brace points or points at which the member is braced against deflection in the given direction. Check FAQs

L = \frac{(3600 - 2200 \cdot (\frac{M 1}{M u})) \cdot r}{f y}

L - Max Unbraced Length for Flexural Compact Section?M₁ - Smaller Moment?M_u - Maximum Bending Strength?r - Radius of Gyration?f_y - Yield Strength of Steel?

Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges Example

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Here is how the Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges equation looks like with Values.

Here is how the Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges equation looks like with Units.

Here is how the Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges equation looks like.

183 = \frac{(3600 - 2200 \cdot (\frac{5}{20})) \cdot 15}{250}

183mm = \frac{(3600 - 2200 \cdot (\frac{5kN*mm}{20kN*mm})) \cdot 15mm}{250MPa}

183 = \frac{(3600 - 2200 \cdot (\frac{5}{20})) \cdot 15}{250}

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Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges Solution

Follow our step by step solution on how to calculate Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges?

FIRST Step Consider the formula

L = \frac{(3600 - 2200 \cdot (\frac{M 1}{M u})) \cdot r}{f y}

Next Step Substitute values of Variables

∴

L = \frac{(3600 - 2200 \cdot (\frac{5kN*mm}{20kN*mm})) \cdot 15mm}{250MPa}

Next Step Convert Units

∴

L = \frac{(3600 - 2200 \cdot (\frac{5N*m}{20N*m})) \cdot 15mm}{250MPa}

Next Step Prepare to Evaluate

∴

L = \frac{(3600 - 2200 \cdot (\frac{5}{20})) \cdot 15}{250}

Next Step Evaluate

∴

L = 0.183m

LAST Step Convert to Output's Unit

∴

L = 183mm

Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges Formula Elements

Variables

Max Unbraced Length for Flexural Compact Section

Max Unbraced Length for Flexural Compact Section is the maximum distance along the member between brace points or points at which the member is braced against deflection in the given direction.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Max Unbraced Length for Flexural Compact Section

Smaller Moment

Smaller Moment at ends of an unbraced length of the member.

Symbol: M₁

Measurement: Moment of ForceUnit: kN*mm

Note: Value should be greater than 0.

Formulas to find Smaller Moment

Maximum Bending Strength

Maximum Bending Strength is the mechanical parameter of the material, defined as the material's ability to resist deformation under load.

Symbol: M_u

Measurement: Moment of ForceUnit: kN*mm

Note: Value should be greater than 0.

Formulas to find Maximum Bending Strength

Radius of Gyration

Radius of Gyration is used to compare how various structural shapes will behave under compression along an axis. It is used to predict buckling in a compression member or beam.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Gyration

Yield Strength of Steel

Yield strength of steel is the level of stress that corresponds to the yield point.

Symbol: f_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Strength of Steel

Other formulas in Load Factor Design for Bridge Beams category

Go Maximum Bending Strength for Symmetrical Flexural Compact Section for LFD of Bridges

M u = f y \cdot Z

Go Maximum Bending Strength for Symmetrical Flexural Braced Non-Compacted Section for LFD of Bridges

M u = f y \cdot S

Go Minimum Flange Thickness for Symmetrical Flexural Compact Section for LFD of Bridges

t f = \frac{b' \cdot \sqrt{f y}}{65}

Go Minimum Flange Thickness for Symmetrical Flexural Braced Non-Compact Section for LFD of Bridges

t f = \frac{b' \cdot \sqrt{f y}}{69.6}

How to Evaluate Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges?

Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges evaluator uses Max Unbraced Length for Flexural Compact Section = ((3600-2200*(Smaller Moment/Maximum Bending Strength))*Radius of Gyration)/Yield Strength of Steel to evaluate the Max Unbraced Length for Flexural Compact Section, The Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges formula is defined as is the clear distance between the supports of the flexural bridge section. Max Unbraced Length for Flexural Compact Section is denoted by L symbol.

How to evaluate Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges using this online evaluator? To use this online evaluator for Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges, enter Smaller Moment (M₁), Maximum Bending Strength (M_u), Radius of Gyration (r) & Yield Strength of Steel (f_y) and hit the calculate button.

FAQs on Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges

What is the formula to find Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges?

The formula of Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges is expressed as Max Unbraced Length for Flexural Compact Section = ((3600-2200*(Smaller Moment/Maximum Bending Strength))*Radius of Gyration)/Yield Strength of Steel. Here is an example- 183000 = ((3600-2200*(5/20))*0.015)/250000000.

How to calculate Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges?

With Smaller Moment (M₁), Maximum Bending Strength (M_u), Radius of Gyration (r) & Yield Strength of Steel (f_y) we can find Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges using the formula - Max Unbraced Length for Flexural Compact Section = ((3600-2200*(Smaller Moment/Maximum Bending Strength))*Radius of Gyration)/Yield Strength of Steel.

Can the Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges be negative?

No, the Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges, measured in Length cannot be negative.

Which unit is used to measure Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges?

Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges can be measured.

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Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges Formula

Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges Example

Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges Solution

Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges Formula Elements

Other formulas in Load Factor Design for Bridge Beams category

How to Evaluate Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges?

FAQs on Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges

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