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Maximum Compressive Stress Parallel to Edge of Gusset Plate Formula

GoMaximum Compressive Stress Formula

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Maximum Compressive Stress is the maximum amount of stress that a material can withstand before it starts to deform plastically or fracture. Check FAQs

f Compressive = (\frac{M GussetPlate}{Z}) \cdot (\frac{1}{\cos (Θ)})

f_Compressive - Maximum Compressive Stress?M_GussetPlate - Bending Moment of Gusset Plate?Z - Section Modulus of Vessel Support?Θ - Gusset Plate Edge Angle?

Maximum Compressive Stress Parallel to Edge of Gusset Plate Example

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Here is how the Maximum Compressive Stress Parallel to Edge of Gusset Plate equation looks like with Values.

Here is how the Maximum Compressive Stress Parallel to Edge of Gusset Plate equation looks like with Units.

Here is how the Maximum Compressive Stress Parallel to Edge of Gusset Plate equation looks like.

155.5248 = (\frac{2E+6}{22000}) \cdot (\frac{1}{\cos (54)})

155.5248N/mm² = (\frac{2E+6N*mm}{22000mm³}) \cdot (\frac{1}{\cos (54°)})

155.5248 = (\frac{2E+6}{22000}) \cdot (\frac{1}{\cos (54)})

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Maximum Compressive Stress Parallel to Edge of Gusset Plate Solution

Follow our step by step solution on how to calculate Maximum Compressive Stress Parallel to Edge of Gusset Plate?

FIRST Step Consider the formula

f Compressive = (\frac{M GussetPlate}{Z}) \cdot (\frac{1}{\cos (Θ)})

Next Step Substitute values of Variables

∴

f Compressive = (\frac{2E+6N*mm}{22000mm³}) \cdot (\frac{1}{\cos (54°)})

Next Step Convert Units

∴

f Compressive = (\frac{2011.134N*m}{2.2E-5m³}) \cdot (\frac{1}{\cos (0.9425rad)})

Next Step Prepare to Evaluate

∴

f Compressive = (\frac{2011.134}{2.2E-5}) \cdot (\frac{1}{\cos (0.9425)})

Next Step Evaluate

∴

f Compressive = 155524796.618532Pa

Next Step Convert to Output's Unit

∴

f Compressive = 155.524796618532N/mm²

LAST Step Rounding Answer

∴

f Compressive = 155.5248N/mm²

Maximum Compressive Stress Parallel to Edge of Gusset Plate Formula Elements

Variables

Functions

Maximum Compressive Stress

Maximum Compressive Stress is the maximum amount of stress that a material can withstand before it starts to deform plastically or fracture.

Symbol: f_Compressive

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Maximum Compressive Stress

Bending Moment of Gusset Plate

Bending Moment of Gusset Plate is a measure of the bending or flexural strength of a beam or structural element.

Symbol: M_GussetPlate

Measurement: Bending MomentUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment of Gusset Plate

Section Modulus of Vessel Support

Section Modulus of Vessel Support is a measure of its strength and ability to resist bending stress.

Symbol: Z

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus of Vessel Support

Gusset Plate Edge Angle

Gusset Plate Edge Angle refers to the angle between the edge of a gusset plate and the beam or column to which it is attached.

Symbol: Θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Gusset Plate Edge Angle

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Maximum Compressive Stress

Go Maximum Compressive Stress

f Compressive = f sb + f d

Other formulas in Lug or Bracket Support category

Go Maximum Compressive Load acting on Bracket

P Load = \frac{(4 \cdot (Wind Force)) \cdot (Height - c)}{N \cdot D bc} + (\frac{ΣW}{N})

Go Thickness of Horizontal Plate Fixed at Edges

T h = {((0.7) \cdot (f horizontal) \cdot (\frac{{(L Horizontal)}^{2}}{f Edges}) \cdot (\frac{{(a)}^{4}}{{(L Horizontal)}^{4} + {(a)}^{4}}))}^{0.5}

Go Thickness of Gusset Plate

T g = (\frac{M GussetPlate}{\frac{f Compressive \cdot (h^{2})}{6}}) \cdot (\frac{1}{\cos (Θ)})

Go Maximum Combined Stress on Long Column

f = ((\frac{P Column}{N Column \cdot A Column}) \cdot (1 + (\frac{1}{7500}) \cdot {(\frac{l e}{r g})}^{2}) + (\frac{P Column \cdot e}{N Column \cdot Z}))

How to Evaluate Maximum Compressive Stress Parallel to Edge of Gusset Plate?

Maximum Compressive Stress Parallel to Edge of Gusset Plate evaluator uses Maximum Compressive Stress = (Bending Moment of Gusset Plate/Section Modulus of Vessel Support)*(1/cos(Gusset Plate Edge Angle)) to evaluate the Maximum Compressive Stress, Maximum Compressive Stress Parallel to Edge of Gusset Plate occurs when a compressive load is applied to the plate, resulting in deformation of the plate. Maximum Compressive Stress is denoted by f_Compressive symbol.

How to evaluate Maximum Compressive Stress Parallel to Edge of Gusset Plate using this online evaluator? To use this online evaluator for Maximum Compressive Stress Parallel to Edge of Gusset Plate, enter Bending Moment of Gusset Plate (M_GussetPlate), Section Modulus of Vessel Support (Z) & Gusset Plate Edge Angle (Θ) and hit the calculate button.

FAQs on Maximum Compressive Stress Parallel to Edge of Gusset Plate

What is the formula to find Maximum Compressive Stress Parallel to Edge of Gusset Plate?

The formula of Maximum Compressive Stress Parallel to Edge of Gusset Plate is expressed as Maximum Compressive Stress = (Bending Moment of Gusset Plate/Section Modulus of Vessel Support)*(1/cos(Gusset Plate Edge Angle)). Here is an example- 0.000156 = (2011.134/2.2E-05)*(1/cos(0.942477796076761)).

How to calculate Maximum Compressive Stress Parallel to Edge of Gusset Plate?

With Bending Moment of Gusset Plate (M_GussetPlate), Section Modulus of Vessel Support (Z) & Gusset Plate Edge Angle (Θ) we can find Maximum Compressive Stress Parallel to Edge of Gusset Plate using the formula - Maximum Compressive Stress = (Bending Moment of Gusset Plate/Section Modulus of Vessel Support)*(1/cos(Gusset Plate Edge Angle)). This formula also uses Cosine function(s).

What are the other ways to Calculate Maximum Compressive Stress?

Here are the different ways to Calculate Maximum Compressive Stress-

Maximum Compressive Stress=Stress due to Bending Moment+Compressive Stress due to Force

Can the Maximum Compressive Stress Parallel to Edge of Gusset Plate be negative?

No, the Maximum Compressive Stress Parallel to Edge of Gusset Plate, measured in Stress cannot be negative.

Which unit is used to measure Maximum Compressive Stress Parallel to Edge of Gusset Plate?

Maximum Compressive Stress Parallel to Edge of Gusset Plate is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Maximum Compressive Stress Parallel to Edge of Gusset Plate can be measured.

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Maximum Compressive Stress Parallel to Edge of Gusset Plate Formula

​GoMaximum Compressive Stress Formula

Maximum Compressive Stress Parallel to Edge of Gusset Plate Example

Maximum Compressive Stress Parallel to Edge of Gusset Plate Solution

Maximum Compressive Stress Parallel to Edge of Gusset Plate Formula Elements

Other Formulas to find Maximum Compressive Stress

Other formulas in Lug or Bracket Support category

How to Evaluate Maximum Compressive Stress Parallel to Edge of Gusset Plate?

FAQs on Maximum Compressive Stress Parallel to Edge of Gusset Plate

Variable Name

GoMaximum Compressive Stress Formula