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Reaction of Concentrated Load applied at least Half of Depth of Beam Formula

GoReaction of Concentrated Load given Allowable Compressive Stress Formula

GoReaction of Concentrated Load when Applied at distance at least Half of Beam Depth Formula

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

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

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

Reaction of Concentrated Load applied at least Half of Depth of Beam Example

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Here is how the Reaction of Concentrated Load applied at least Half of Depth of Beam equation looks like with Values.

Here is how the Reaction of Concentrated Load applied at least Half of Depth of Beam equation looks like with Units.

Here is how the Reaction of Concentrated Load applied at least Half of Depth of Beam equation looks like.

286.3864 = 67.5 \cdot 100^{2} \cdot (1 + 3 \cdot (\frac{160}{121}) \cdot {(\frac{100}{15})}^{1.5}) \cdot \sqrt{\frac{250}{\frac{100}{15}}}

286.3864kN = 67.5 \cdot {100mm}^{2} \cdot (1 + 3 \cdot (\frac{160mm}{121mm}) \cdot {(\frac{100mm}{15mm})}^{1.5}) \cdot \sqrt{\frac{250MPa}{\frac{100mm}{15mm}}}

286.3864 = 67.5 \cdot 100^{2} \cdot (1 + 3 \cdot (\frac{160}{121}) \cdot {(\frac{100}{15})}^{1.5}) \cdot \sqrt{\frac{250}{\frac{100}{15}}}

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Reaction of Concentrated Load applied at least Half of Depth of Beam Solution

Follow our step by step solution on how to calculate Reaction of Concentrated Load applied at least Half of Depth of Beam?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R = 67.5 \cdot {100mm}^{2} \cdot (1 + 3 \cdot (\frac{160mm}{121mm}) \cdot {(\frac{100mm}{15mm})}^{1.5}) \cdot \sqrt{\frac{250MPa}{\frac{100mm}{15mm}}}

Next Step Convert Units

∴

R = 67.5 \cdot {0.1m}^{2} \cdot (1 + 3 \cdot (\frac{0.16m}{0.121m}) \cdot {(\frac{0.1m}{0.015m})}^{1.5}) \cdot \sqrt{\frac{2.5E+8Pa}{\frac{0.1m}{0.015m}}}

Next Step Prepare to Evaluate

∴

R = 67.5 \cdot {0.1}^{2} \cdot (1 + 3 \cdot (\frac{0.16}{0.121}) \cdot {(\frac{0.1}{0.015})}^{1.5}) \cdot \sqrt{\frac{2.5E+8}{\frac{0.1}{0.015}}}

Next Step Evaluate

∴

R = 286386.396005562N

Next Step Convert to Output's Unit

∴

R = 286.386396005562kN

LAST Step Rounding Answer

∴

R = 286.3864kN

Reaction of Concentrated Load applied at least Half of Depth of Beam Formula Elements

Variables

Functions

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

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

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

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

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

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 Concentrated Load of Reaction

Go Reaction of Concentrated Load given Allowable Compressive Stress

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

Go Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth

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

Go Required Stiffeners if Concentrated Load exceeds Load of Reaction R

R = (\frac{6800 \cdot {t w}^{3}}{h}) \cdot (1 + (0.4 \cdot {r wf}^{3}))

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 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 Web Thickness for Given Stress

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

How to Evaluate Reaction of Concentrated Load applied at least Half of Depth of Beam?

Reaction of Concentrated Load applied at least Half of Depth of Beam evaluator uses Concentrated Load of Reaction = 67.5*Web Thickness^2*(1+3*(Bearing or Plate Length/Depth of Section)*(Web Thickness/Flange Thickness)^1.5)*sqrt(Yield Stress of Steel/(Web Thickness/Flange Thickness)) to evaluate the Concentrated Load of Reaction, The Reaction of Concentrated Load applied at least Half of Depth of Beam formula is defined for finding the need for bearing stiffeners if the concentrated load applied on the column exceeds the value above. Concentrated Load of Reaction is denoted by R symbol.

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

FAQs on Reaction of Concentrated Load applied at least Half of Depth of Beam

What is the formula to find Reaction of Concentrated Load applied at least Half of Depth of Beam?

The formula of Reaction of Concentrated Load applied at least Half of Depth of Beam is expressed as Concentrated Load of Reaction = 67.5*Web Thickness^2*(1+3*(Bearing or Plate Length/Depth of Section)*(Web Thickness/Flange Thickness)^1.5)*sqrt(Yield Stress of Steel/(Web Thickness/Flange Thickness)). Here is an example- 0.209292 = 67.5*0.1^2*(1+3*(0.16/0.121)*(0.1/0.015)^1.5)*sqrt(250000000/(0.1/0.015)).

How to calculate Reaction of Concentrated Load applied at least Half of Depth of Beam?

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

What are the other ways to Calculate Concentrated Load of Reaction?

Here are the different ways to Calculate Concentrated Load of Reaction-

Concentrated Load of Reaction=Compressive Stress*Web Thickness*(Bearing or Plate Length+5*Distance from Flange to Web Fillet)
Concentrated Load of Reaction=34*Web Thickness^2*(1+3*(Bearing or Plate Length/Depth of Section)*(Web Thickness/Flange Thickness)^1.5)*sqrt(Yield Stress of Steel/(Web Thickness/Flange Thickness))
Concentrated Load of Reaction=((6800*Web Thickness^3)/Clear Distance between Flanges)*(1+(0.4*Slenderness of Web and Flange^3))

Can the Reaction of Concentrated Load applied at least Half of Depth of Beam be negative?

No, the Reaction of Concentrated Load applied at least Half of Depth of Beam, measured in Force cannot be negative.

Which unit is used to measure Reaction of Concentrated Load applied at least Half of Depth of Beam?

Reaction of Concentrated Load applied at least Half of Depth of Beam is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Reaction of Concentrated Load applied at least Half of Depth of Beam can be measured.

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Reaction of Concentrated Load applied at least Half of Depth of Beam Formula

​GoReaction of Concentrated Load given Allowable Compressive Stress Formula

​GoReaction of Concentrated Load when Applied at distance at least Half of Beam Depth Formula

Reaction of Concentrated Load applied at least Half of Depth of Beam Example

Reaction of Concentrated Load applied at least Half of Depth of Beam Solution

Reaction of Concentrated Load applied at least Half of Depth of Beam Formula Elements

Other Formulas to find Concentrated Load of Reaction

Other formulas in Webs under Concentrated Loads category

How to Evaluate Reaction of Concentrated Load applied at least Half of Depth of Beam?

FAQs on Reaction of Concentrated Load applied at least Half of Depth of Beam

Variable Name

GoReaction of Concentrated Load given Allowable Compressive Stress Formula

GoReaction of Concentrated Load when Applied at distance at least Half of Beam Depth Formula