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Length of Bearing for Applied Load at least Half of Depth of Beam Formula

GoLength of Bearing when Load applied at Distance Larger than Depth of Beam Formula

GoLength of Bearing if Column Load is at Distance of Half Beam Depth Formula

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Bearing or Plate Length is the length along the beam under which a high concentration of stresses due to concentrated loads is transferred to the supporting structure below. Check FAQs

N = (\frac{R}{(67.5 \cdot {t w}^{\frac{3}{2}}) \cdot \sqrt{F y \cdot t f}} - 1) \cdot \frac{D}{3 \cdot {(\frac{t w}{t f})}^{1.5}}

N - Bearing or Plate Length?R - Concentrated Load of Reaction?t_w - Web Thickness?F_y - Yield Stress of Steel?t_f - Flange Thickness?D - Depth of Section?

Length of Bearing for Applied Load at least Half of Depth of Beam Example

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Here is how the Length of Bearing for Applied Load at least Half of Depth of Beam equation looks like with Values.

Here is how the Length of Bearing for Applied Load at least Half of Depth of Beam equation looks like with Units.

Here is how the Length of Bearing for Applied Load at least Half of Depth of Beam equation looks like.

130.8707 = (\frac{235}{(67.5 \cdot 100^{\frac{3}{2}}) \cdot \sqrt{250 \cdot 15}} - 1) \cdot \frac{121}{3 \cdot {(\frac{100}{15})}^{1.5}}

130.8707mm = (\frac{235kN}{(67.5 \cdot {100mm}^{\frac{3}{2}}) \cdot \sqrt{250MPa \cdot 15mm}} - 1) \cdot \frac{121mm}{3 \cdot {(\frac{100mm}{15mm})}^{1.5}}

130.8707 = (\frac{235}{(67.5 \cdot 100^{\frac{3}{2}}) \cdot \sqrt{250 \cdot 15}} - 1) \cdot \frac{121}{3 \cdot {(\frac{100}{15})}^{1.5}}

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Design of Steel Structures » fx Length of Bearing for Applied Load at least Half of Depth of Beam

Length of Bearing for Applied Load at least Half of Depth of Beam Solution

Follow our step by step solution on how to calculate Length of Bearing for Applied Load at least Half of Depth of Beam?

FIRST Step Consider the formula

N = (\frac{R}{(67.5 \cdot {t w}^{\frac{3}{2}}) \cdot \sqrt{F y \cdot t f}} - 1) \cdot \frac{D}{3 \cdot {(\frac{t w}{t f})}^{1.5}}

Next Step Substitute values of Variables

∴

N = (\frac{235kN}{(67.5 \cdot {100mm}^{\frac{3}{2}}) \cdot \sqrt{250MPa \cdot 15mm}} - 1) \cdot \frac{121mm}{3 \cdot {(\frac{100mm}{15mm})}^{1.5}}

Next Step Convert Units

∴

N = (\frac{235000N}{(67.5 \cdot {0.1m}^{\frac{3}{2}}) \cdot \sqrt{2.5E+8Pa \cdot 0.015m}} - 1) \cdot \frac{0.121m}{3 \cdot {(\frac{0.1m}{0.015m})}^{1.5}}

Next Step Prepare to Evaluate

∴

N = (\frac{235000}{(67.5 \cdot {0.1}^{\frac{3}{2}}) \cdot \sqrt{2.5E+8 \cdot 0.015}} - 1) \cdot \frac{0.121}{3 \cdot {(\frac{0.1}{0.015})}^{1.5}}

Next Step Evaluate

∴

N = 0.130870719545008m

Next Step Convert to Output's Unit

∴

N = 130.870719545008mm

LAST Step Rounding Answer

∴

N = 130.8707mm

Length of Bearing for Applied Load at least Half of Depth of Beam Formula Elements

Variables

Functions

Bearing or Plate Length

Bearing or Plate Length is the length along the beam under which a high concentration of stresses due to concentrated loads is transferred to the supporting structure below.

Symbol: N

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Bearing or Plate Length

Concentrated Load of Reaction

Concentrated Load of Reaction is the reaction force that is assumed to act at a single point on the structure.

Symbol: R

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Concentrated Load of Reaction

Web Thickness

Web Thickness is the thickness of the web section in the member of I section.

Symbol: t_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Web Thickness

Yield Stress of Steel

Yield Stress of Steel is the stress at which the material begins to deform plastically, meaning it will not return to its original shape when the applied force is removed.

Symbol: F_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Stress of Steel

Flange Thickness

The Flange Thickness is the thickness of a flange in a protruded ridge, lip or rim, either external or internal of a beam such as an I-beam or a T-beam.

Symbol: t_f

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Flange Thickness

Depth of Section

The Depth of Section is the depth of the rectangular cross-section of the beam perpendicular to the axis of consideration.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Section

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Bearing or Plate Length

Go Length of Bearing when Load applied at Distance Larger than Depth of Beam

N = (\frac{R}{f a \cdot t w}) - 5 \cdot k

Go Length of Bearing if Column Load is at Distance of Half Beam Depth

N = (\frac{R}{(34 \cdot {t w}^{\frac{3}{2}}) \cdot \sqrt{F y \cdot t f}} - 1) \cdot \frac{D}{3 \cdot {(\frac{t w}{t f})}^{1.5}}

Other formulas in Webs under Concentrated Loads category

Go Stress when Concentrated Load is Applied Close to Beam End

f a = \frac{R}{t w \cdot (N + 2.5 \cdot k)}

Go Stress for Concentrated Load Applied at Distance Larger than Depth of Beam

f a = \frac{R}{t w \cdot (N + 5 \cdot k)}

Go Web Thickness for Given Stress

t w = \frac{R}{f a \cdot (N + 5 \cdot k)}

Go Web Thickness for given Stress Due to Load near Beam End

t w = \frac{R}{f a \cdot (N + 2.5 \cdot k)}

How to Evaluate Length of Bearing for Applied Load at least Half of Depth of Beam?

Length of Bearing for Applied Load at least Half of Depth of Beam evaluator uses Bearing or Plate Length = (Concentrated Load of Reaction/((67.5*Web Thickness^(3/2))*sqrt(Yield Stress of Steel*Flange Thickness))-1)*Depth of Section/(3*(Web Thickness/Flange Thickness)^1.5) to evaluate the Bearing or Plate Length, The Length of Bearing for Applied Load at least Half of Depth of Beam formula is defined as the minimum length of bearing needed to prevent web crippling, a common mode of failure experienced by web elements of thin-walled beams under concentrated loads or reactions. Bearing or Plate Length is denoted by N symbol.

How to evaluate Length of Bearing for Applied Load at least Half of Depth of Beam using this online evaluator? To use this online evaluator for Length of Bearing for Applied Load at least Half of Depth of Beam, enter Concentrated Load of Reaction (R), Web Thickness (t_w), Yield Stress of Steel (F_y), Flange Thickness (t_f) & Depth of Section (D) and hit the calculate button.

FAQs on Length of Bearing for Applied Load at least Half of Depth of Beam

What is the formula to find Length of Bearing for Applied Load at least Half of Depth of Beam?

The formula of Length of Bearing for Applied Load at least Half of Depth of Beam is expressed as Bearing or Plate Length = (Concentrated Load of Reaction/((67.5*Web Thickness^(3/2))*sqrt(Yield Stress of Steel*Flange Thickness))-1)*Depth of Section/(3*(Web Thickness/Flange Thickness)^1.5). Here is an example- 179990.7 = (235000/((67.5*0.1^(3/2))*sqrt(250000000*0.015))-1)*0.121/(3*(0.1/0.015)^1.5).

How to calculate Length of Bearing for Applied Load at least Half of Depth of Beam?

With Concentrated Load of Reaction (R), Web Thickness (t_w), Yield Stress of Steel (F_y), Flange Thickness (t_f) & Depth of Section (D) we can find Length of Bearing for Applied Load at least Half of Depth of Beam using the formula - Bearing or Plate Length = (Concentrated Load of Reaction/((67.5*Web Thickness^(3/2))*sqrt(Yield Stress of Steel*Flange Thickness))-1)*Depth of Section/(3*(Web Thickness/Flange Thickness)^1.5). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Bearing or Plate Length?

Here are the different ways to Calculate Bearing or Plate Length-

Bearing or Plate Length=(Concentrated Load of Reaction/(Compressive Stress*Web Thickness))-5*Distance from Flange to Web Fillet
Bearing or Plate Length=(Concentrated Load of Reaction/((34*Web Thickness^(3/2))*sqrt(Yield Stress of Steel*Flange Thickness))-1)*Depth of Section/(3*(Web Thickness/Flange Thickness)^1.5)

Can the Length of Bearing for Applied Load at least Half of Depth of Beam be negative?

No, the Length of Bearing for Applied Load at least Half of Depth of Beam, measured in Length cannot be negative.

Which unit is used to measure Length of Bearing for Applied Load at least Half of Depth of Beam?

Length of Bearing for Applied Load at least Half of Depth of Beam is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length of Bearing for Applied Load at least Half of Depth of Beam can be measured.

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Length of Bearing for Applied Load at least Half of Depth of Beam Formula

​GoLength of Bearing when Load applied at Distance Larger than Depth of Beam Formula

​GoLength of Bearing if Column Load is at Distance of Half Beam Depth Formula

Length of Bearing for Applied Load at least Half of Depth of Beam Example

Length of Bearing for Applied Load at least Half of Depth of Beam Solution

Length of Bearing for Applied Load at least Half of Depth of Beam Formula Elements

Other Formulas to find Bearing or Plate Length

Other formulas in Webs under Concentrated Loads category

How to Evaluate Length of Bearing for Applied Load at least Half of Depth of Beam?

FAQs on Length of Bearing for Applied Load at least Half of Depth of Beam

Variable Name

GoLength of Bearing when Load applied at Distance Larger than Depth of Beam Formula

GoLength of Bearing if Column Load is at Distance of Half Beam Depth Formula