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Stress when Concentrated Load is Applied Close to Beam End Formula

GoStress for Concentrated Load Applied at Distance Larger than Depth of Beam Formula

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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. Check FAQs

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

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

Stress when Concentrated Load is Applied Close to Beam End Example

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Here is how the Stress when Concentrated Load is Applied Close to Beam End equation looks like with Values.

Here is how the Stress when Concentrated Load is Applied Close to Beam End equation looks like with Units.

Here is how the Stress when Concentrated Load is Applied Close to Beam End equation looks like.

11.4634 = \frac{235}{100 \cdot (160 + 2.5 \cdot 18)}

11.4634MPa = \frac{235kN}{100mm \cdot (160mm + 2.5 \cdot 18mm)}

11.4634 = \frac{235}{100 \cdot (160 + 2.5 \cdot 18)}

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Stress when Concentrated Load is Applied Close to Beam End Solution

Follow our step by step solution on how to calculate Stress when Concentrated Load is Applied Close to Beam End?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f a = \frac{235kN}{100mm \cdot (160mm + 2.5 \cdot 18mm)}

Next Step Convert Units

∴

f a = \frac{235000N}{0.1m \cdot (0.16m + 2.5 \cdot 0.018m)}

Next Step Prepare to Evaluate

∴

f a = \frac{235000}{0.1 \cdot (0.16 + 2.5 \cdot 0.018)}

Next Step Evaluate

∴

f a = 11463414.6341463Pa

Next Step Convert to Output's Unit

∴

f a = 11.4634146341463MPa

LAST Step Rounding Answer

∴

f a = 11.4634MPa

Stress when Concentrated Load is Applied Close to Beam End Formula Elements

Variables

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

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

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 Compressive Stress

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

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

Other formulas in Webs under Concentrated Loads category

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)}

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

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

Go Reaction of Concentrated Load given Allowable Compressive Stress

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

How to Evaluate Stress when Concentrated Load is Applied Close to Beam End?

Stress when Concentrated Load is Applied Close to Beam End evaluator uses Compressive Stress = Concentrated Load of Reaction/(Web Thickness*(Bearing or Plate Length+2.5*Distance from Flange to Web Fillet)) to evaluate the Compressive Stress, The Stress when Concentrated Load is Applied Close to Beam End formula is defined as the maximum limit of compressive stress on columns when the concentrated load is acted at a closer distance from the end beam. Compressive Stress is denoted by f_a symbol.

How to evaluate Stress when Concentrated Load is Applied Close to Beam End using this online evaluator? To use this online evaluator for Stress when Concentrated Load is Applied Close to Beam End, enter Concentrated Load of Reaction (R), Web Thickness (t_w), Bearing or Plate Length (N) & Distance from Flange to Web Fillet (k) and hit the calculate button.

FAQs on Stress when Concentrated Load is Applied Close to Beam End

What is the formula to find Stress when Concentrated Load is Applied Close to Beam End?

The formula of Stress when Concentrated Load is Applied Close to Beam End is expressed as Compressive Stress = Concentrated Load of Reaction/(Web Thickness*(Bearing or Plate Length+2.5*Distance from Flange to Web Fillet)). Here is an example- 1.1E-5 = 235000/(0.1*(0.16+2.5*0.018)).

How to calculate Stress when Concentrated Load is Applied Close to Beam End?

With Concentrated Load of Reaction (R), Web Thickness (t_w), Bearing or Plate Length (N) & Distance from Flange to Web Fillet (k) we can find Stress when Concentrated Load is Applied Close to Beam End using the formula - Compressive Stress = Concentrated Load of Reaction/(Web Thickness*(Bearing or Plate Length+2.5*Distance from Flange to Web Fillet)).

What are the other ways to Calculate Compressive Stress?

Here are the different ways to Calculate Compressive Stress-

Compressive Stress=Concentrated Load of Reaction/(Web Thickness*(Bearing or Plate Length+5*Distance from Flange to Web Fillet))

Can the Stress when Concentrated Load is Applied Close to Beam End be negative?

No, the Stress when Concentrated Load is Applied Close to Beam End, measured in Stress cannot be negative.

Which unit is used to measure Stress when Concentrated Load is Applied Close to Beam End?

Stress when Concentrated Load is Applied Close to Beam End is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Stress when Concentrated Load is Applied Close to Beam End can be measured.

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Stress when Concentrated Load is Applied Close to Beam End Formula

​GoStress for Concentrated Load Applied at Distance Larger than Depth of Beam Formula

Stress when Concentrated Load is Applied Close to Beam End Example

Stress when Concentrated Load is Applied Close to Beam End Solution

Stress when Concentrated Load is Applied Close to Beam End Formula Elements

Other Formulas to find Compressive Stress

Other formulas in Webs under Concentrated Loads category

How to Evaluate Stress when Concentrated Load is Applied Close to Beam End?

FAQs on Stress when Concentrated Load is Applied Close to Beam End

Variable Name

GoStress for Concentrated Load Applied at Distance Larger than Depth of Beam Formula