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Thickness of Gusset Plate Formula

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Thickness of Gusset Plate is determined based on the compressive and tensile stresses acting on it. Check FAQs

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

T_g - Thickness of Gusset Plate?M_GussetPlate - Bending Moment of Gusset Plate?f_Compressive - Maximum Compressive Stress?h - Height of Gusset Plate?Θ - Gusset Plate Edge Angle?

Thickness of Gusset Plate Example

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Here is how the Thickness of Gusset Plate equation looks like with Values.

Here is how the Thickness of Gusset Plate equation looks like with Units.

Here is how the Thickness of Gusset Plate equation looks like.

3.5322 = (\frac{2E+6}{\frac{161 \cdot (190^{2})}{6}}) \cdot (\frac{1}{\cos (54)})

3.5322mm = (\frac{2E+6N*mm}{\frac{161N/mm² \cdot ({190mm}^{2})}{6}}) \cdot (\frac{1}{\cos (54°)})

3.5322 = (\frac{2E+6}{\frac{161 \cdot (190^{2})}{6}}) \cdot (\frac{1}{\cos (54)})

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Thickness of Gusset Plate Solution

Follow our step by step solution on how to calculate Thickness of Gusset Plate?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T g = (\frac{2E+6N*mm}{\frac{161N/mm² \cdot ({190mm}^{2})}{6}}) \cdot (\frac{1}{\cos (54°)})

Next Step Convert Units

∴

T g = (\frac{2011.134N*m}{\frac{1.6E+8Pa \cdot ({0.19m}^{2})}{6}}) \cdot (\frac{1}{\cos (0.9425rad)})

Next Step Prepare to Evaluate

∴

T g = (\frac{2011.134}{\frac{1.6E+8 \cdot ({0.19}^{2})}{6}}) \cdot (\frac{1}{\cos (0.9425)})

Next Step Evaluate

∴

T g = 0.00353216103536523m

Next Step Convert to Output's Unit

∴

T g = 3.53216103536523mm

LAST Step Rounding Answer

∴

T g = 3.5322mm

Thickness of Gusset Plate Formula Elements

Variables

Functions

Thickness of Gusset Plate

Thickness of Gusset Plate is determined based on the compressive and tensile stresses acting on it.

Symbol: T_g

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Gusset Plate

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

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

Height of Gusset Plate

Height of Gusset Plate is typically chosen to provide adequate strength and stiffness to the joint, while also maintaining a reasonable size and weight for the overall structure.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height of Gusset Plate

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 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 Maximum Compressive Stress Parallel to Edge of Gusset Plate

f Compressive = (\frac{M GussetPlate}{Z}) \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 Thickness of Gusset Plate?

Thickness of Gusset Plate evaluator uses Thickness of Gusset Plate = (Bending Moment of Gusset Plate/((Maximum Compressive Stress*(Height of Gusset Plate^(2)))/6))*(1/cos(Gusset Plate Edge Angle)) to evaluate the Thickness of Gusset Plate, The Thickness of Gusset Plate formula refers to the thickness of the plate that is used to reinforce and connect two or more structural elements. Thickness of Gusset Plate is denoted by T_g symbol.

How to evaluate Thickness of Gusset Plate using this online evaluator? To use this online evaluator for Thickness of Gusset Plate, enter Bending Moment of Gusset Plate (M_GussetPlate), Maximum Compressive Stress (f_Compressive), Height of Gusset Plate (h) & Gusset Plate Edge Angle (Θ) and hit the calculate button.

FAQs on Thickness of Gusset Plate

What is the formula to find Thickness of Gusset Plate?

The formula of Thickness of Gusset Plate is expressed as Thickness of Gusset Plate = (Bending Moment of Gusset Plate/((Maximum Compressive Stress*(Height of Gusset Plate^(2)))/6))*(1/cos(Gusset Plate Edge Angle)). Here is an example- 3532.161 = (2011.134/((161000000*(0.19^(2)))/6))*(1/cos(0.942477796076761)).

How to calculate Thickness of Gusset Plate?

With Bending Moment of Gusset Plate (M_GussetPlate), Maximum Compressive Stress (f_Compressive), Height of Gusset Plate (h) & Gusset Plate Edge Angle (Θ) we can find Thickness of Gusset Plate using the formula - Thickness of Gusset Plate = (Bending Moment of Gusset Plate/((Maximum Compressive Stress*(Height of Gusset Plate^(2)))/6))*(1/cos(Gusset Plate Edge Angle)). This formula also uses Cosine function(s).

Can the Thickness of Gusset Plate be negative?

No, the Thickness of Gusset Plate, measured in Length cannot be negative.

Which unit is used to measure Thickness of Gusset Plate?

Thickness of Gusset Plate is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Thickness of Gusset Plate can be measured.

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Thickness of Gusset Plate Formula

Thickness of Gusset Plate Example

Thickness of Gusset Plate Solution

Thickness of Gusset Plate Formula Elements

Other formulas in Lug or Bracket Support category

How to Evaluate Thickness of Gusset Plate?

FAQs on Thickness of Gusset Plate

Variable Name