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

✖Yield strength of steel is the level of stress that corresponds to the yield point.ⓘ Yield Strength of Steel [f_y]			+10% -10%
✖Plastic Section Modulus is the section modulus for plastic analysis.ⓘ Plastic Section Modulus [Z]			+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 for Symmetrical Flexural Compact Section for LFD of Bridges [M_u]

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

Formula

`"M"_{"u"} = "f"_{"y"}*"Z"`

Example

`"20kN*mm"="250MPa"*"80mm³"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Bending Strength = Yield Strength of Steel*Plastic Section Modulus
M_u = f_y*Z
This formula uses 3 Variables

Variables Used

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.
Yield Strength of Steel - (Measured in Pascal) - Yield strength of steel is the level of stress that corresponds to the yield point.
Plastic Section Modulus - (Measured in Cubic Meter) - Plastic Section Modulus is the section modulus for plastic analysis.

STEP 1: Convert Input(s) to Base Unit

Yield Strength of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)
Plastic Section Modulus: 80 Cubic Millimeter --> 8E-08 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_u = f_y*Z --> 250000000*8E-08

Evaluating ... ...

M_u = 20

STEP 3: Convert Result to Output's Unit

20 Newton Meter -->20 Kilonewton Millimeter (Check conversion here)

FINAL ANSWER

20 Kilonewton Millimeter <-- Maximum Bending Strength

(Calculation completed in 00.004 seconds)

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< 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 Bending Strength for Symmetrical Flexural Compact Section for LFD of Bridges Formula

Maximum Bending Strength = Yield Strength of Steel*Plastic Section Modulus
M_u = f_y*Z

What is Compact Section?

Compact Section is defined as ,if a beam has very small slenderness ratio, it is called as compact section. The section with small slenderness ratio can attain its plastic moment at the time of loading. This cross section is classified as compact.

How to Calculate Maximum Bending Strength for Symmetrical Flexural Compact Section for LFD of Bridges?

Maximum Bending Strength for Symmetrical Flexural Compact Section for LFD of Bridges calculator uses Maximum Bending Strength = Yield Strength of Steel*Plastic Section Modulus to calculate the Maximum Bending Strength, The Maximum Bending Strength for Symmetrical Flexural Compact Section for LFD of Bridges formula is defined as strength at which member will fail under flexure. Maximum Bending Strength is denoted by M_u symbol.

How to calculate Maximum Bending Strength for Symmetrical Flexural Compact Section for LFD of Bridges using this online calculator? To use this online calculator for Maximum Bending Strength for Symmetrical Flexural Compact Section for LFD of Bridges, enter Yield Strength of Steel (f_y) & Plastic Section Modulus (Z) and hit the calculate button. Here is how the Maximum Bending Strength for Symmetrical Flexural Compact Section for LFD of Bridges calculation can be explained with given input values -> 20 = 250000000*8E-08.

FAQ

What is Maximum Bending Strength for Symmetrical Flexural Compact Section for LFD of Bridges?

The Maximum Bending Strength for Symmetrical Flexural Compact Section for LFD of Bridges formula is defined as strength at which member will fail under flexure and is represented as M_u = f_y*Z or Maximum Bending Strength = Yield Strength of Steel*Plastic Section Modulus. Yield strength of steel is the level of stress that corresponds to the yield point & Plastic Section Modulus is the section modulus for plastic analysis.

How to calculate Maximum Bending Strength for Symmetrical Flexural Compact Section for LFD of Bridges?

The Maximum Bending Strength for Symmetrical Flexural Compact Section for LFD of Bridges formula is defined as strength at which member will fail under flexure is calculated using Maximum Bending Strength = Yield Strength of Steel*Plastic Section Modulus. To calculate Maximum Bending Strength for Symmetrical Flexural Compact Section for LFD of Bridges, you need Yield Strength of Steel (f_y) & Plastic Section Modulus (Z). With our tool, you need to enter the respective value for Yield Strength of Steel & Plastic Section Modulus and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum Bending Strength?

In this formula, Maximum Bending Strength uses Yield Strength of Steel & Plastic Section Modulus. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Bending Strength = Yield Strength of Steel*Section Modulus

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