Thickness of Gusset Plate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thickness of Gusset Plate = (Bending Moment of Gusset Plate/((Maximum Compressive Stress*(Height of Gusset Plate^(2)))/6))*(1/cos(Gusset Plate Edge Angle))
Tg = (MGussetPlate/((fCompressive*(h^(2)))/6))*(1/cos(Θ))
This formula uses 1 Functions, 5 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Thickness of Gusset Plate - (Measured in Meter) - Thickness of Gusset Plate is determined based on the compressive and tensile stresses acting on it.
Bending Moment of Gusset Plate - (Measured in Newton Meter) - Bending Moment of Gusset Plate is a measure of the bending or flexural strength of a beam or structural element.
Maximum Compressive Stress - (Measured in Pascal) - Maximum Compressive Stress is the maximum amount of stress that a material can withstand before it starts to deform plastically or fracture.
Height of Gusset Plate - (Measured in Meter) - 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.
Gusset Plate Edge Angle - (Measured in Radian) - 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.
STEP 1: Convert Input(s) to Base Unit
Bending Moment of Gusset Plate: 2011134 Newton Millimeter --> 2011.134 Newton Meter (Check conversion ​here)
Maximum Compressive Stress: 161 Newton per Square Millimeter --> 161000000 Pascal (Check conversion ​here)
Height of Gusset Plate: 190 Millimeter --> 0.19 Meter (Check conversion ​here)
Gusset Plate Edge Angle: 54 Degree --> 0.942477796076761 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tg = (MGussetPlate/((fCompressive*(h^(2)))/6))*(1/cos(Θ)) --> (2011.134/((161000000*(0.19^(2)))/6))*(1/cos(0.942477796076761))
Evaluating ... ...
Tg = 0.00353216103536523
STEP 3: Convert Result to Output's Unit
0.00353216103536523 Meter -->3.53216103536523 Millimeter (Check conversion ​here)
FINAL ANSWER
3.53216103536523 3.532161 Millimeter <-- Thickness of Gusset Plate
(Calculation completed in 00.007 seconds)

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​ LaTeX ​ Go Thickness of Gusset Plate = (Bending Moment of Gusset Plate/((Maximum Compressive Stress*(Height of Gusset Plate^(2)))/6))*(1/cos(Gusset Plate Edge Angle))
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Thickness of Gusset Plate Formula

​LaTeX ​Go
Thickness of Gusset Plate = (Bending Moment of Gusset Plate/((Maximum Compressive Stress*(Height of Gusset Plate^(2)))/6))*(1/cos(Gusset Plate Edge Angle))
Tg = (MGussetPlate/((fCompressive*(h^(2)))/6))*(1/cos(Θ))

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How to Calculate Thickness of Gusset Plate?

Thickness of Gusset Plate calculator 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 calculate 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 Tg symbol.

How to calculate Thickness of Gusset Plate using this online calculator? To use this online calculator for Thickness of Gusset Plate, enter Bending Moment of Gusset Plate (MGussetPlate), Maximum Compressive Stress (fCompressive), Height of Gusset Plate (h) & Gusset Plate Edge Angle (Θ) and hit the calculate button. Here is how the Thickness of Gusset Plate calculation can be explained with given input values -> 3532.161 = (2011.134/((161000000*(0.19^(2)))/6))*(1/cos(0.942477796076761)).

FAQ

What is 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 and is represented as Tg = (MGussetPlate/((fCompressive*(h^(2)))/6))*(1/cos(Θ)) or Thickness of Gusset Plate = (Bending Moment of Gusset Plate/((Maximum Compressive Stress*(Height of Gusset Plate^(2)))/6))*(1/cos(Gusset Plate Edge Angle)). Bending Moment of Gusset Plate is a measure of the bending or flexural strength of a beam or structural element, Maximum Compressive Stress is the maximum amount of stress that a material can withstand before it starts to deform plastically or fracture, 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 & 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.
How to calculate 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 is calculated using 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 calculate Thickness of Gusset Plate, you need Bending Moment of Gusset Plate (MGussetPlate), Maximum Compressive Stress (fCompressive), Height of Gusset Plate (h) & Gusset Plate Edge Angle (Θ). With our tool, you need to enter the respective value for Bending Moment of Gusset Plate, Maximum Compressive Stress, Height of Gusset Plate & Gusset Plate Edge Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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