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

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 when Applied at distance at least Half of Beam Depth Example

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

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

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

144.2539 = 34 \cdot 100^{2} \cdot (1 + 3 \cdot (\frac{160}{121}) \cdot {(\frac{100}{15})}^{1.5}) \cdot \sqrt{\frac{250}{\frac{100}{15}}}

144.2539kN = 34 \cdot {100mm}^{2} \cdot (1 + 3 \cdot (\frac{160mm}{121mm}) \cdot {(\frac{100mm}{15mm})}^{1.5}) \cdot \sqrt{\frac{250MPa}{\frac{100mm}{15mm}}}

144.2539 = 34 \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 when Applied at distance at least Half of Beam Depth Solution

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

FIRST Step Consider the formula

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}}}

Next Step Substitute values of Variables

∴

R = 34 \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 = 34 \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 = 34 \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 = 144253.888358357N

Next Step Convert to Output's Unit

∴

R = 144.253888358357kN

LAST Step Rounding Answer

∴

R = 144.2539kN

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

Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth evaluator uses 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)) to evaluate the Concentrated Load of Reaction, The Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth formula is defined as the limiting value of the concentrated load on a column to decide whether a bearing stiffener is needed or not. If the applied load exceeds the value above (satisfying the condition regarding d/2 distance), stiffeners are provided. Concentrated Load of Reaction is denoted by R symbol.

How to evaluate Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth using this online evaluator? To use this online evaluator for Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth, 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 when Applied at distance at least Half of Beam Depth

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

The formula of Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth is expressed as 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)). Here is an example- 0.105421 = 34*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 when Applied at distance at least Half of Beam Depth?

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 when Applied at distance at least Half of Beam Depth using the formula - 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)). 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=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=((6800*Web Thickness^3)/Clear Distance between Flanges)*(1+(0.4*Slenderness of Web and Flange^3))

Can the Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth be negative?

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

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

Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth 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 when Applied at distance at least Half of Beam Depth can be measured.

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

​GoReaction of Concentrated Load given Allowable Compressive Stress Formula

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

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

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

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

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

Variable Name

GoReaction of Concentrated Load given Allowable Compressive Stress Formula

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