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Reaction of Concentrated Load given Allowable Compressive Stress Formula

GoReaction of Concentrated Load applied at least Half of Depth of Beam 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 = f a \cdot t w \cdot (N + 5 \cdot k)

R - Concentrated Load of Reaction?f_a - Compressive Stress?t_w - Web Thickness?N - Bearing or Plate Length?k - Distance from Flange to Web Fillet?

Reaction of Concentrated Load given Allowable Compressive Stress Example

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Here is how the Reaction of Concentrated Load given Allowable Compressive Stress equation looks like with Values.

Here is how the Reaction of Concentrated Load given Allowable Compressive Stress equation looks like with Units.

Here is how the Reaction of Concentrated Load given Allowable Compressive Stress equation looks like.

260.775 = 10.431 \cdot 100 \cdot (160 + 5 \cdot 18)

260.775kN = 10.431MPa \cdot 100mm \cdot (160mm + 5 \cdot 18mm)

260.775 = 10.431 \cdot 100 \cdot (160 + 5 \cdot 18)

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Reaction of Concentrated Load given Allowable Compressive Stress Solution

Follow our step by step solution on how to calculate Reaction of Concentrated Load given Allowable Compressive Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R = 10.431MPa \cdot 100mm \cdot (160mm + 5 \cdot 18mm)

Next Step Convert Units

∴

R = 1E+7Pa \cdot 0.1m \cdot (0.16m + 5 \cdot 0.018m)

Next Step Prepare to Evaluate

∴

R = 1E+7 \cdot 0.1 \cdot (0.16 + 5 \cdot 0.018)

Next Step Evaluate

∴

R = 260775N

LAST Step Convert to Output's Unit

∴

R = 260.775kN

Reaction of Concentrated Load given Allowable Compressive Stress 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

Compressive Stress

Compressive stress is the deformation of a material, leading to a reduction in its volume. It is caused by an externally applied force and is experienced by a material when it is under compression.

Symbol: f_a

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Compressive Stress

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

Distance from Flange to Web Fillet

The Distance from Flange to Web Fillet is the total distance from the outer face of the flange to the web toe of the fillet.

Symbol: k

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Flange to Web Fillet

Other Formulas to find Concentrated Load of Reaction

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}}}

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 given Allowable Compressive Stress?

Reaction of Concentrated Load given Allowable Compressive Stress evaluator uses Concentrated Load of Reaction = Compressive Stress*Web Thickness*(Bearing or Plate Length+5*Distance from Flange to Web Fillet) to evaluate the Concentrated Load of Reaction, The Reaction of Concentrated Load given Allowable Compressive Stress formula is defined as the relationship between the maximum compressive stress on the column and the web thickness. If the web thickness is much less, the compressive stress is more. Concentrated Load of Reaction is denoted by R symbol.

How to evaluate Reaction of Concentrated Load given Allowable Compressive Stress using this online evaluator? To use this online evaluator for Reaction of Concentrated Load given Allowable Compressive Stress, enter Compressive Stress (f_a), Web Thickness (t_w), Bearing or Plate Length (N) & Distance from Flange to Web Fillet (k) and hit the calculate button.

FAQs on Reaction of Concentrated Load given Allowable Compressive Stress

What is the formula to find Reaction of Concentrated Load given Allowable Compressive Stress?

The formula of Reaction of Concentrated Load given Allowable Compressive Stress is expressed as Concentrated Load of Reaction = Compressive Stress*Web Thickness*(Bearing or Plate Length+5*Distance from Flange to Web Fillet). Here is an example- 0.28975 = 10431000*0.1*(0.16+5*0.018).

How to calculate Reaction of Concentrated Load given Allowable Compressive Stress?

With Compressive Stress (f_a), Web Thickness (t_w), Bearing or Plate Length (N) & Distance from Flange to Web Fillet (k) we can find Reaction of Concentrated Load given Allowable Compressive Stress using the formula - Concentrated Load of Reaction = Compressive Stress*Web Thickness*(Bearing or Plate Length+5*Distance from Flange to Web Fillet).

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=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))
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 given Allowable Compressive Stress be negative?

No, the Reaction of Concentrated Load given Allowable Compressive Stress, measured in Force cannot be negative.

Which unit is used to measure Reaction of Concentrated Load given Allowable Compressive Stress?

Reaction of Concentrated Load given Allowable Compressive Stress 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 given Allowable Compressive Stress can be measured.

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Reaction of Concentrated Load given Allowable Compressive Stress Formula

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

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

Reaction of Concentrated Load given Allowable Compressive Stress Example

Reaction of Concentrated Load given Allowable Compressive Stress Solution

Reaction of Concentrated Load given Allowable Compressive Stress 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 given Allowable Compressive Stress?

FAQs on Reaction of Concentrated Load given Allowable Compressive Stress

Variable Name

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

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