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Required Stiffeners if Concentrated Load exceeds Load of Reaction R Formula

GoReaction of Concentrated Load given Allowable Compressive Stress Formula

GoReaction of Concentrated Load applied at least Half of Depth of Beam 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 = (\frac{6800 \cdot {t w}^{3}}{h}) \cdot (1 + (0.4 \cdot {r wf}^{3}))

R - Concentrated Load of Reaction?t_w - Web Thickness?h - Clear Distance between Flanges?r_wf - Slenderness of Web and Flange?

Required Stiffeners if Concentrated Load exceeds Load of Reaction R Example

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Here is how the Required Stiffeners if Concentrated Load exceeds Load of Reaction R equation looks like with Values.

Here is how the Required Stiffeners if Concentrated Load exceeds Load of Reaction R equation looks like with Units.

Here is how the Required Stiffeners if Concentrated Load exceeds Load of Reaction R equation looks like.

234.0984 = (\frac{6800 \cdot 100^{3}}{122}) \cdot (1 + (0.4 \cdot 2^{3}))

234.0984kN = (\frac{6800 \cdot {100mm}^{3}}{122mm}) \cdot (1 + (0.4 \cdot 2^{3}))

234.0984 = (\frac{6800 \cdot 100^{3}}{122}) \cdot (1 + (0.4 \cdot 2^{3}))

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Design of Steel Structures » fx Required Stiffeners if Concentrated Load exceeds Load of Reaction R

Required Stiffeners if Concentrated Load exceeds Load of Reaction R Solution

Follow our step by step solution on how to calculate Required Stiffeners if Concentrated Load exceeds Load of Reaction R?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R = (\frac{6800 \cdot {100mm}^{3}}{122mm}) \cdot (1 + (0.4 \cdot 2^{3}))

Next Step Convert Units

∴

R = (\frac{6800 \cdot {0.1m}^{3}}{0.122m}) \cdot (1 + (0.4 \cdot 2^{3}))

Next Step Prepare to Evaluate

∴

R = (\frac{6800 \cdot {0.1}^{3}}{0.122}) \cdot (1 + (0.4 \cdot 2^{3}))

Next Step Evaluate

∴

R = 234098.360655738N

Next Step Convert to Output's Unit

∴

R = 234.098360655738kN

LAST Step Rounding Answer

∴

R = 234.0984kN

Required Stiffeners if Concentrated Load exceeds Load of Reaction R Formula Elements

Variables

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

Clear Distance between Flanges

Clear Distance between Flanges refers to the distance between the two endpoints of the flange. That is the height of the web including fillets.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Clear Distance between Flanges

Slenderness of Web and Flange

Slenderness of Web and Flange of a structural element is a measure of its susceptibility to buckling under compressive stress.

Symbol: r_wf

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Slenderness of Web and Flange

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 applied at least Half of Depth of Beam

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}}}

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}}}

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 Required Stiffeners if Concentrated Load exceeds Load of Reaction R?

Required Stiffeners if Concentrated Load exceeds Load of Reaction R evaluator uses Concentrated Load of Reaction = ((6800*Web Thickness^3)/Clear Distance between Flanges)*(1+(0.4*Slenderness of Web and Flange^3)) to evaluate the Concentrated Load of Reaction, The Required Stiffeners if Concentrated Load exceeds Load of Reaction R formula is defined as the structural elements used to reinforce the parts of a structure under high-stress conditions. Concentrated Load of Reaction is denoted by R symbol.

How to evaluate Required Stiffeners if Concentrated Load exceeds Load of Reaction R using this online evaluator? To use this online evaluator for Required Stiffeners if Concentrated Load exceeds Load of Reaction R, enter Web Thickness (t_w), Clear Distance between Flanges (h) & Slenderness of Web and Flange (r_wf) and hit the calculate button.

FAQs on Required Stiffeners if Concentrated Load exceeds Load of Reaction R

What is the formula to find Required Stiffeners if Concentrated Load exceeds Load of Reaction R?

The formula of Required Stiffeners if Concentrated Load exceeds Load of Reaction R is expressed as Concentrated Load of Reaction = ((6800*Web Thickness^3)/Clear Distance between Flanges)*(1+(0.4*Slenderness of Web and Flange^3)). Here is an example- 0.000234 = ((6800*0.1^3)/0.122)*(1+(0.4*2^3)).

How to calculate Required Stiffeners if Concentrated Load exceeds Load of Reaction R?

With Web Thickness (t_w), Clear Distance between Flanges (h) & Slenderness of Web and Flange (r_wf) we can find Required Stiffeners if Concentrated Load exceeds Load of Reaction R using the formula - Concentrated Load of Reaction = ((6800*Web Thickness^3)/Clear Distance between Flanges)*(1+(0.4*Slenderness of Web and Flange^3)).

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=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))
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))

Can the Required Stiffeners if Concentrated Load exceeds Load of Reaction R be negative?

No, the Required Stiffeners if Concentrated Load exceeds Load of Reaction R, measured in Force cannot be negative.

Which unit is used to measure Required Stiffeners if Concentrated Load exceeds Load of Reaction R?

Required Stiffeners if Concentrated Load exceeds Load of Reaction R is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Required Stiffeners if Concentrated Load exceeds Load of Reaction R can be measured.

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Required Stiffeners if Concentrated Load exceeds Load of Reaction R Formula

​GoReaction of Concentrated Load given Allowable Compressive Stress Formula

​GoReaction of Concentrated Load applied at least Half of Depth of Beam Formula

Required Stiffeners if Concentrated Load exceeds Load of Reaction R Example

Required Stiffeners if Concentrated Load exceeds Load of Reaction R Solution

Required Stiffeners if Concentrated Load exceeds Load of Reaction R Formula Elements

Other Formulas to find Concentrated Load of Reaction

Other formulas in Webs under Concentrated Loads category

How to Evaluate Required Stiffeners if Concentrated Load exceeds Load of Reaction R?

FAQs on Required Stiffeners if Concentrated Load exceeds Load of Reaction R

Variable Name

GoReaction of Concentrated Load given Allowable Compressive Stress Formula

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