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

✖Smaller Moment at ends of an unbraced length of the member.ⓘ Smaller Moment [M₁]			+10% -10%
✖Maximum Bending Strength is the mechanical parameter of the material, defined as the material's ability to resist deformation under load.ⓘ Maximum Bending Strength [M_u]			+10% -10%
✖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.ⓘ Radius of Gyration [r]			+10% -10%
✖Yield strength of steel is the level of stress that corresponds to the yield point.ⓘ Yield Strength of Steel [f_y]			+10% -10%

✖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.ⓘ Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges [L]

⎘ Copy

👎

Formula

✖

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

Formula

`"L" = ((3600-2200*("M"_{"1"}/"M"_{"u"}))*"r")/"f"_{"y"}`

Example

`"183mm"=((3600-2200*("5kN*mm"/"20kN*mm"))*"15mm")/"250MPa"`

Calculator

LaTeX

Reset

👍

Download Load Factor Design (LFD) Formulas PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

Max Unbraced Length for Flexural Compact Section = ((3600-2200*(Smaller Moment/Maximum Bending Strength))*Radius of Gyration)/Yield Strength of Steel
L = ((3600-2200*(M₁/M_u))*r)/f_y
This formula uses 5 Variables

Variables Used

Max Unbraced Length for Flexural Compact Section - (Measured in Millimeter) - 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.
Smaller Moment - (Measured in Newton Meter) - Smaller Moment at ends of an unbraced length of the member.
Maximum Bending Strength - (Measured in Newton Meter) - Maximum Bending Strength is the mechanical parameter of the material, defined as the material's ability to resist deformation under load.
Radius of Gyration - (Measured in Millimeter) - 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.
Yield Strength of Steel - (Measured in Megapascal) - Yield strength of steel is the level of stress that corresponds to the yield point.

STEP 1: Convert Input(s) to Base Unit

Smaller Moment: 5 Kilonewton Millimeter --> 5 Newton Meter (Check conversion here)
Maximum Bending Strength: 20 Kilonewton Millimeter --> 20 Newton Meter (Check conversion here)
Radius of Gyration: 15 Millimeter --> 15 Millimeter No Conversion Required
Yield Strength of Steel: 250 Megapascal --> 250 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = ((3600-2200*(M₁/M_u))*r)/f_y --> ((3600-2200*(5/20))*15)/250

Evaluating ... ...

L = 183

STEP 3: Convert Result to Output's Unit

0.183 Meter -->183 Millimeter (Check conversion here)

FINAL ANSWER

183 Millimeter <-- Max Unbraced Length for Flexural Compact Section

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Bridge and Suspension Cable » Load Factor Design (LFD) » Load-Factor Design for Bridge Beams » Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 14 Load-Factor Design for Bridge Beams Calculators

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

Go Max Unbraced Length for Flexural Compact Section = ((3600-2200*(Smaller Moment/Maximum Bending Strength))*Radius of Gyration)/Yield Strength of Steel

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

Go Flange Minimum Thickness = (Width of Projection of Flange*sqrt(Yield Strength of Steel))/69.6

Width of Projection of Flange for Compact Section for LFD given Minimum Flange Thickness

Go Width of Projection of Flange = (65*Flange Minimum Thickness)/(sqrt(Yield Strength of Steel))

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

Go Flange Minimum Thickness = (Width of Projection of Flange*sqrt(Yield Strength of Steel))/65

Maximum Unbraced Length for Symmetrical Flexural Braced Non-Compact Section for LFD of Bridges

Go Maximum Unbraced Length = (20000*Flange Area)/(Yield Strength of Steel*Depth of Section)

Depth of Section for Braced Non-Compact Section for LFD given Maximum Unbraced Length

Go Depth of Section = (20000*Flange Area)/(Yield Strength of Steel*Maximum Unbraced Length)

Area of Flange for Braced Non-Compact Section for LFD

Go Flange Area = (Maximum Unbraced Length*Yield Strength of Steel*Depth of Section)/20000

Minimum Web Thickness for Symmetrical Flexural Compact Section for LFD of Bridges

Go Web Minimum Thickness = Depth of Section*sqrt(Yield Strength of Steel)/608

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

Go Maximum Bending Strength = Yield Strength of Steel*Plastic Section Modulus

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

Go Maximum Bending Strength = Yield Strength of Steel*Section Modulus

Allowable Bearing Stresses on Pins not Subject to Rotation for Bridges for LFD

Go Allowable Bearing Stresses on Pins = 0.80*Yield Strength of Steel

Allowable Bearing Stresses on Pins Subject to Rotation for Bridges for LFD

Go Allowable Bearing Stresses on Pins = 0.40*Yield Strength of Steel

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

Go Web Minimum Thickness = Unsupported Distance between Flanges/150

Allowable Bearing Stresses on Pins for Buildings for LFD

Go Allowable Bearing Stresses on Pins = 0.9*Yield Strength of Steel

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

Max Unbraced Length for Flexural Compact Section = ((3600-2200*(Smaller Moment/Maximum Bending Strength))*Radius of Gyration)/Yield Strength of Steel
L = ((3600-2200*(M₁/M_u))*r)/f_y

What is Unbraced Length?

Unbraced Length is defined as the distance between ends of a structural member (such as a column) which are prevented from moving normal to the axis of the member, by bracing, by floor slabs, etc.

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

Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges calculator uses Max Unbraced Length for Flexural Compact Section = ((3600-2200*(Smaller Moment/Maximum Bending Strength))*Radius of Gyration)/Yield Strength of Steel to calculate 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 calculate Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges using this online calculator? To use this online calculator 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. Here is how the Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges calculation can be explained with given input values -> 183000 = ((3600-2200*(5/20))*0.015)/250000000.

FAQ

What is Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges?

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 and is represented as L = ((3600-2200*(M₁/M_u))*r)/f_y or Max Unbraced Length for Flexural Compact Section = ((3600-2200*(Smaller Moment/Maximum Bending Strength))*Radius of Gyration)/Yield Strength of Steel. Smaller Moment at ends of an unbraced length of the member, Maximum Bending Strength is the mechanical parameter of the material, defined as the material's ability to resist deformation under load, 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 & Yield strength of steel is the level of stress that corresponds to the yield point.

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

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 is calculated using Max Unbraced Length for Flexural Compact Section = ((3600-2200*(Smaller Moment/Maximum Bending Strength))*Radius of Gyration)/Yield Strength of Steel. To calculate Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges, you need Smaller Moment (M₁), Maximum Bending Strength (M_u), Radius of Gyration (r) & Yield Strength of Steel (f_y). With our tool, you need to enter the respective value for Smaller Moment, Maximum Bending Strength, Radius of Gyration & Yield Strength of Steel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search