Maximum Stress in Horizontal Plate fixed at Edges Calculator

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✖The Maximum Pressure on Horizontal Plate formula is defined as the highest pressure that a system, equipment or material can withstand without experiencing failure or damage.ⓘ Maximum Pressure on Horizontal Plate [f_p]			+10% -10%
✖Length of Horizontal Plate is a flat surface that is oriented parallel to the ground or any other reference plane.ⓘ Length of Horizontal Plate [B]			+10% -10%
✖Thickness of Horizontal Plate is calculated based on the bending moment, the distance from the neutral axis, and the moment of inertia of the cross-section.ⓘ Thickness of Horizontal Plate [T_h]			+10% -10%
✖Effective Width of Horizontal Plate refers to the distance across the plate in a direction perpendicular to its length.ⓘ Effective Width of Horizontal Plate [a]			+10% -10%

✖Maximum Stress in Horizontal Plate fixed at Edges depends on the loading conditions and the geometry of the structure.ⓘ Maximum Stress in Horizontal Plate fixed at Edges [f]

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Formula

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Maximum Stress in Horizontal Plate fixed at Edges

Formula

`"f" = 0.7*"f"_{"p"}*(("B")^(2)/("T"_{"h"})^(2))*(("a")^(4)/(("B")^(4)+("a"))^(4))`

Example

`"24473.73N/mm²"=0.7*"68.92N/mm²"*(("127mm")^(2)/("5.61mm")^(2))*(("102mm")^(4)/(("127mm")^(4)+("102mm"))^(4))`

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Maximum Stress in Horizontal Plate fixed at Edges Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
f = 0.7*f_p*((B)^(2)/(T_h)^(2))*((a)^(4)/((B)^(4)+(a))^(4))
This formula uses 5 Variables

Variables Used

Maximum Stress in Horizontal Plate fixed at Edges - (Measured in Pascal) - Maximum Stress in Horizontal Plate fixed at Edges depends on the loading conditions and the geometry of the structure.
Maximum Pressure on Horizontal Plate - (Measured in Pascal) - The Maximum Pressure on Horizontal Plate formula is defined as the highest pressure that a system, equipment or material can withstand without experiencing failure or damage.
Length of Horizontal Plate - (Measured in Meter) - Length of Horizontal Plate is a flat surface that is oriented parallel to the ground or any other reference plane.
Thickness of Horizontal Plate - (Measured in Meter) - Thickness of Horizontal Plate is calculated based on the bending moment, the distance from the neutral axis, and the moment of inertia of the cross-section.
Effective Width of Horizontal Plate - (Measured in Meter) - Effective Width of Horizontal Plate refers to the distance across the plate in a direction perpendicular to its length.

STEP 1: Convert Input(s) to Base Unit

Maximum Pressure on Horizontal Plate: 68.92 Newton per Square Millimeter --> 68920000 Pascal (Check conversion here)
Length of Horizontal Plate: 127 Millimeter --> 0.127 Meter (Check conversion here)
Thickness of Horizontal Plate: 5.61 Millimeter --> 0.00561 Meter (Check conversion here)
Effective Width of Horizontal Plate: 102 Millimeter --> 0.102 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = 0.7*f_p*((B)^(2)/(T_h)^(2))*((a)^(4)/((B)^(4)+(a))^(4)) --> 0.7*68920000*((0.127)^(2)/(0.00561)^(2))*((0.102)^(4)/((0.127)^(4)+(0.102))^(4))

Evaluating ... ...

f = 24473726621.6293

STEP 3: Convert Result to Output's Unit

24473726621.6293 Pascal -->24473.7266216293 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

24473.7266216293 Newton per Square Millimeter <-- Maximum Stress in Horizontal Plate fixed at Edges

(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 Stress in Horizontal Plate fixed at Edges Formula

What is Design Stress?

Design stress is the maximum allowable stress that a structural component or material can be subjected to under specific loading and environmental conditions while ensuring that the component or material will not fail during its service life. It is also sometimes referred to as the allowable stress or working stress.The design stress is typically calculated based on a combination of factors, including the properties of the material, the loading conditions, the geometry of the component, and the safety factors. The safety factor accounts for uncertainties in the design and manufacturing process, as well as variations in the loads and environmental conditions that the component may be subjected to during its service life.

How to Calculate Maximum Stress in Horizontal Plate fixed at Edges?

Maximum Stress in Horizontal Plate fixed at Edges calculator uses 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)) to calculate the Maximum Stress in Horizontal Plate fixed at Edges, The maximum stress in horizontal plate fixed at edges depends on the force per unit area that a material experiences when subjected to an external load or force. Maximum Stress in Horizontal Plate fixed at Edges is denoted by f symbol.

How to calculate Maximum Stress in Horizontal Plate fixed at Edges using this online calculator? To use this online calculator for Maximum Stress in Horizontal Plate fixed at Edges, enter Maximum Pressure on Horizontal Plate (f_p), Length of Horizontal Plate (B), Thickness of Horizontal Plate (T_h) & Effective Width of Horizontal Plate (a) and hit the calculate button. Here is how the Maximum Stress in Horizontal Plate fixed at Edges calculation can be explained with given input values -> 24473.73 = 0.7*68920000*((0.127)^(2)/(0.00561)^(2))*((0.102)^(4)/((0.127)^(4)+(0.102))^(4)).

FAQ

What is Maximum Stress in Horizontal Plate fixed at Edges?

The maximum stress in horizontal plate fixed at edges depends on the force per unit area that a material experiences when subjected to an external load or force and is represented as f = 0.7*f_p*((B)^(2)/(T_h)^(2))*((a)^(4)/((B)^(4)+(a))^(4)) or 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)). The Maximum Pressure on Horizontal Plate formula is defined as the highest pressure that a system, equipment or material can withstand without experiencing failure or damage, Length of Horizontal Plate is a flat surface that is oriented parallel to the ground or any other reference plane, Thickness of Horizontal Plate is calculated based on the bending moment, the distance from the neutral axis, and the moment of inertia of the cross-section & Effective Width of Horizontal Plate refers to the distance across the plate in a direction perpendicular to its length.

How to calculate Maximum Stress in Horizontal Plate fixed at Edges?

The maximum stress in horizontal plate fixed at edges depends on the force per unit area that a material experiences when subjected to an external load or force is calculated using 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)). To calculate Maximum Stress in Horizontal Plate fixed at Edges, you need Maximum Pressure on Horizontal Plate (f_p), Length of Horizontal Plate (B), Thickness of Horizontal Plate (T_h) & Effective Width of Horizontal Plate (a). With our tool, you need to enter the respective value for Maximum Pressure on Horizontal Plate, Length of Horizontal Plate, Thickness of Horizontal Plate & Effective Width of Horizontal Plate 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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