Maximum Compressive Stress Parallel to Edge of Gusset Plate Calculator

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✖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]			+10% -10%
✖Section Modulus of Gusset Plate is a measure of its resistance to bending and is a key parameter in the design of gusset plate.ⓘ Section Modulus of Gusset Plate [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 Plate occurs when a compressive load is applied to the plate, resulting in deformation of the plate.ⓘ Maximum Compressive Stress Parallel to Edge of Gusset Plate [f_max]

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Formula

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Maximum Compressive Stress Parallel to Edge of Gusset Plate

Formula

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

Example

`"462.9794N/mm²"=("6011134N*mm"/"22089mm³")*(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 Plate = (Bending Moment of Gusset Plate/Section Modulus of Gusset Plate)*(1/cos(Gusset Plate Edge Angle))
f_max = (M/Z)*(1/cos(Θ))
This formula uses 1 Functions, 4 Variables

Functions Used

cos - Trigonometric cosine function, cos(Angle)

Variables Used

Maximum Compressive Stress Plate - (Measured in Pascal) - Maximum Compressive Stress Plate occurs when a compressive load is applied to the plate, resulting in deformation of the plate.
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 Gusset Plate - (Measured in Cubic Meter) - Section Modulus of Gusset Plate is a measure of its resistance to bending and is a key parameter in the design of gusset plate.
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: 6011134 Newton Millimeter --> 6011.134 Newton Meter (Check conversion here)
Section Modulus of Gusset Plate: 22089 Cubic Millimeter --> 2.2089E-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_max = (M/Z)*(1/cos(Θ)) --> (6011.134/2.2089E-05)*(1/cos(0.942477796076761))

Evaluating ... ...

f_max = 462979401.169015

STEP 3: Convert Result to Output's Unit

462979401.169015 Pascal -->462.979401169015 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

462.979401169015 Newton per Square Millimeter <-- Maximum Compressive Stress Plate

(Calculation completed in 00.000 seconds)

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< 25 Vessel Supports 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 Column)))

Maximum Stress in Horizontal Plate fixed at Edges

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

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 Column)))

Wind Load acting on Lower Part of Vessel

Go Wind Load acting on Lower Part of Vessel = Coefficient depending on Shape Factor*Coefficient Period of One Cycle of Vibration*Wind Pressure acting on Lower Part of Vessel*Height of Lower Part of Vessel*Outside Diameter of Vessel

Wind Load acting on Upper Part of Vessel

Go Wind Load acting on Upper Part of Vessel = Coefficient depending on Shape Factor*Coefficient Period of One Cycle of Vibration*Wind Pressure acting on Upper Part of Vessel*Height of Upper Part of Vessel*Outside Diameter of Vessel

Thickness of Bearing Plate inside Chair

Go Thickness of Bearing Plate inside Chair = ((6*Maximum Bending Moment in Bearing Plate)/((Width of Bearing Plate-Diameter of Bolt Hole in Bearing Plate)*Allowable Stress in Bolt Material))^(0.5)

Minimum Stress between Bearing Plate and Concrete Foundation

Go Stress in Bearing Plate and Concrete Foundation = (Maximum Weight of Empty Vessel/Area between Bearing Plate & Concrete Foundation)-(Maximum Seismic Moment/Section Modulus of Area A)

Compressive Stress between Bearing Plate and Concrete Foundation

Go Maximum Compressive Stress = (Total Weight of Vessel/Area between Bearing Plate & Concrete Foundation)+(Maximum Seismic Moment/Section Modulus of Area A)

Maximum Compressive Stress Parallel to Edge of Gusset Plate

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

Thickness of Base Bearing Plate

Go Thickness of Base Bearing Plate = Difference Outer Radius of Bearing Plate and Skirt*((3*Maximum Compressive Stress)/(Allowable Bending Stress))^(0.5)

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)

Maximum Compressive Load

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

Stress due to Seismic Bending Moment

Go Stress due to Bending Moment = (4*Maximum Seismic Moment)/(pi*(Mean Diameter of Skirt^(2))*Skirt Thickness)

Load on Each Bolt

Go Load on Each Bolt = Stress in Bearing Plate and Concrete Foundation*(Area of Contact in Bearing Plate and Foundation/Number of Bolts)

Compressive Stress due to Vertical Downward Force

Go Compressive Stress due to Force = Total Weight of Vessel/(pi*Mean Diameter of Skirt*Skirt Thickness)

Maximum Seismic Moment

Go Maximum Seismic Moment = ((2/3)*Seismic Coefficient*Total Weight of Vessel*Total Height of Vessel)

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 Beading Moment in Bearing Plate Inside Chair

Go Maximum Bending Moment in Bearing Plate = (Load on Each Bolt*Spacing Inside Chairs)/8

Maximum Tensile Stress

Go Maximum Tensile Stress = Stress due to Bending Moment-Compressive Stress due to Force

Cross Sectional Area of Bolt

Go Cross Section Area of Bolt = Load on Each Bolt/Permissible Stress for Bolt Materials

Diameter of Bolt given Cross Sectional Area

Go Diameter of Bolt = (Cross Sectional Area of Bolt*(4/pi))^(0.5)

Number of Bolts

Go Number of Bolts = (pi*Mean Diameter of Skirt)/600

Minimum Wind Pressure at Vessel

Go Minimum Wind Pressure = 0.05*(Maximum Wind Velocity)^(2)

Maximum Compressive Stress Parallel to Edge of Gusset Plate Formula

Maximum Compressive Stress Plate = (Bending Moment of Gusset Plate/Section Modulus of Gusset Plate)*(1/cos(Gusset Plate Edge Angle))
f_max = (M/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 Plate = (Bending Moment of Gusset Plate/Section Modulus of Gusset Plate)*(1/cos(Gusset Plate Edge Angle)) to calculate the Maximum Compressive Stress 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. Maximum Compressive Stress Plate is denoted by f_max 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), Section Modulus of Gusset Plate (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 -> 462.9794 = (6011.134/2.2089E-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_max = (M/Z)*(1/cos(Θ)) or Maximum Compressive Stress Plate = (Bending Moment of Gusset Plate/Section Modulus of Gusset Plate)*(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 Gusset Plate is a measure of its resistance to bending and is a key parameter in the design of gusset plate & 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 Plate = (Bending Moment of Gusset Plate/Section Modulus of Gusset Plate)*(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), Section Modulus of Gusset Plate (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 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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