Maximum Compressive Stress Parallel to Edge of Gusset Plate Calculator

✖Bending Moment of Gusset Plate is a measure of the bending or flexural strength of a beam or structural element.ⓘ Bending Moment of Gusset Plate [M_GussetPlate]			+10% -10%
✖Section Modulus of Vessel Support is a measure of its strength and ability to resist bending stress.ⓘ Section Modulus of Vessel Support [Z]			+10% -10%
✖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.ⓘ Gusset Plate Edge Angle [Θ]			+10% -10%

✖Maximum Compressive Stress is the maximum amount of stress that a material can withstand before it starts to deform plastically or fracture.ⓘ Maximum Compressive Stress Parallel to Edge of Gusset Plate [f_Compressive]

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Formula

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Maximum Compressive Stress Parallel to Edge of Gusset Plate

Formula

`"f"_{"Compressive"} = ("M"_{"GussetPlate"}/"Z")*(1/cos("Θ"))`

Example

`"155.5248N/mm²"=("2011134N*mm"/"22000mm³")*(1/cos("54°"))`

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Maximum Compressive Stress Parallel to Edge of Gusset Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Compressive Stress = (Bending Moment of Gusset Plate/Section Modulus of Vessel Support)*(1/cos(Gusset Plate Edge Angle))
f_Compressive = (M_GussetPlate/Z)*(1/cos(Θ))
This formula uses 1 Functions, 4 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

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.
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.
Section Modulus of Vessel Support - (Measured in Cubic Meter) - Section Modulus of Vessel Support is a measure of its strength and ability to resist bending stress.
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)
Section Modulus of Vessel Support: 22000 Cubic Millimeter --> 2.2E-05 Cubic 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

f_Compressive = (M_GussetPlate/Z)*(1/cos(Θ)) --> (2011.134/2.2E-05)*(1/cos(0.942477796076761))

Evaluating ... ...

f_Compressive = 155524796.618532

STEP 3: Convert Result to Output's Unit

155524796.618532 Pascal -->155.524796618532 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

155.524796618532 ≈ 155.5248 Newton per Square Millimeter <-- Maximum Compressive Stress

(Calculation completed in 00.020 seconds)

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< 14 Lug or Bracket Support Calculators

Maximum Combined Stress on Long Column

Go Maximum Combined Stress = ((Axial Compressive Load on Column/(Number of Columns*Cross Sectional Area of Column))*(1+(1/7500)*(Column Effective Length/Radius of Gyration of Column)^(2))+((Axial Compressive Load on Column*Eccentricity for Vessel Support)/(Number of Columns*Section Modulus of Vessel Support)))

Maximum Compressive Load acting on Bracket

Go Maximum Compressive Load on Remote Bracket = ((4*(Total Wind Force acting on Vessel))*(Height of Vessel above Foundation-Clearance between Vessel Bottom and Foundation))/(Number of Brackets*Diameter of Anchor Bolt Circle)+(Total Weight of Vessel/Number of Brackets)

Thickness of Horizontal Plate Fixed at Edges

Go Thickness of Horizontal Plate = ((0.7)*(Maximum Pressure on Horizontal Plate)*((Length of Horizontal Plate)^(2)/(Maximum Stress in Horizontal Plate fixed at Edges))*((Effective Width of Horizontal Plate)^(4)/((Length of Horizontal Plate)^(4)+(Effective Width of Horizontal Plate)^(4))))^(0.5)

Maximum Combined Stress on Short Column

Go Maximum Combined Stress = ((Axial Compressive Load on Column/(Number of Columns*Cross Sectional Area of Column))+((Axial Compressive Load on Column*Eccentricity for Vessel Support)/(Number of Columns*Section Modulus of Vessel Support)))

Minimum Thickness of Base Plate

Go Minimum Thickness of Base Plate = ((3*Pressure Intensity on Under Side of Base Plate/Permissible Bending Stress in Base Plate Material)*((Greater Projection of Plate beyond Column)^(2)-((Lesser Projection of Plate beyond Column)^(2)/4)))^(0.5)

Thickness of Gusset Plate

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))

Bending Stress in Column due to Wind Load

Go Bending Stress in Column due to Wind Load = ((Wind Load acting on Vessel/Number of Columns)*(Length of Columns/2))/Section Modulus of Vessel Support

Maximum Compressive Stress Parallel to Edge of Gusset Plate

Go Maximum Compressive Stress = (Bending Moment of Gusset Plate/Section Modulus of Vessel Support)*(1/cos(Gusset Plate Edge Angle))

Pressure Intensity on under side of Base Plate

Go Pressure Intensity on Under Side of Base Plate = Axial Compressive Load on Column/(Effective Width of Horizontal Plate*Length of Horizontal Plate)

Maximum Pressure on Horizontal Plate

Go Maximum Pressure on Horizontal Plate = Maximum Compressive Load on Remote Bracket/(Effective Width of Horizontal Plate*Length of Horizontal Plate)

Axial Bending Stress in Vessel Wall for Unit Width

Go Axial Bending Stress induced in Vessel Wall = (6*Axial Bending Moment*Effective Width of Horizontal Plate)/Vessel Shell Thickness^(2)

Minimum Area by Base Plate

Go Minimum Area provided by Base Plate = Axial Compressive Load on Column/Permissible Bearing Strength of Concrete

Maximum Compressive Stress

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

Maximum Compressive Load on Remote Bracket due to Dead Load

Go Maximum Compressive Load on Remote Bracket = Total Weight of Vessel/Number of Brackets

Maximum Compressive Stress Parallel to Edge of Gusset Plate Formula

Maximum Compressive Stress = (Bending Moment of Gusset Plate/Section Modulus of Vessel Support)*(1/cos(Gusset Plate Edge Angle))
f_Compressive = (M_GussetPlate/Z)*(1/cos(Θ))

What is Design Stress?

Design stress is the maximum allowable stress that a material or structural element can withstand while remaining safe and reliable for its intended use. The design stress is determined by analyzing the material properties, loading conditions, and other factors that may affect the performance of the structure or component. The design stress is typically calculated as a percentage of the yield stress or ultimate tensile strength of the material, and is based on the expected service life and safety factors required for the application. The design stress must be lower than the yield stress or ultimate tensile strength to ensure that the material or structure does not fail or deform beyond its limits under normal or expected loading conditions.

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

Maximum Compressive Stress Parallel to Edge of Gusset Plate calculator uses Maximum Compressive Stress = (Bending Moment of Gusset Plate/Section Modulus of Vessel Support)*(1/cos(Gusset Plate Edge Angle)) to calculate 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 calculate Maximum Compressive Stress Parallel to Edge of Gusset Plate using this online calculator? To use this online calculator 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. Here is how the Maximum Compressive Stress Parallel to Edge of Gusset Plate calculation can be explained with given input values -> 0.000156 = (2011.134/2.2E-05)*(1/cos(0.942477796076761)).

FAQ

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

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 and is represented as f_Compressive = (M_GussetPlate/Z)*(1/cos(Θ)) or Maximum Compressive Stress = (Bending Moment of Gusset Plate/Section Modulus of Vessel Support)*(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, Section Modulus of Vessel Support is a measure of its strength and ability to resist bending stress & 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 Maximum Compressive Stress Parallel to Edge of Gusset Plate?

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 is calculated using Maximum Compressive Stress = (Bending Moment of Gusset Plate/Section Modulus of Vessel Support)*(1/cos(Gusset Plate Edge Angle)). To calculate Maximum Compressive Stress Parallel to Edge of Gusset Plate, you need Bending Moment of Gusset Plate (M_GussetPlate), Section Modulus of Vessel Support (Z) & Gusset Plate Edge Angle (Θ). With our tool, you need to enter the respective value for Bending Moment of Gusset Plate, Section Modulus of Vessel Support & 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.

How many ways are there to calculate Maximum Compressive Stress?

In this formula, Maximum Compressive Stress uses Bending Moment of Gusset Plate, Section Modulus of Vessel Support & Gusset Plate Edge Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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