Area using Minimum Stress Calculator

✖Maximum Weight of Empty Vessel is determined by the vessel's weight capacity or displacement capacity.ⓘ Maximum Weight of Empty Vessel [W_min]			+10% -10%
✖Stress in Bearing Plate and Concrete Foundation cause deformation, cracking or failure of the components, which can compromise the integrity of the bolted connection.ⓘ Stress in Bearing Plate and Concrete Foundation [f_c]			+10% -10%
✖Maximum Seismic Moment is the reaction induced in a vessel when an external force or moment is applied to the element causing the element to bend.ⓘ Maximum Seismic Moment [M_s]			+10% -10%
✖Section Modulus of Area A is measure of the stiffness and strength of a cross-sectional shape and defined as the ratio of the maximum bending moment.ⓘ Section Modulus of Area A [Z]			+10% -10%

✖Area between Bearing Plate & Concrete Foundation refers to the surface area in contact between a bearing plate and the concrete foundation on which it rests.ⓘ Area using Minimum Stress [A]

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Formula

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Area using Minimum Stress

Formula

`"A" = "W"_{"min"}/("f"_{"c"}+("M"_{"s"}/"Z"))`

Example

`"54218.08mm²"="120000N"/("2.213N/mm²"+("4400000N*mm"/"15497588.76mm²"))`

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Area using Minimum Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area between Bearing Plate & Concrete Foundation = Maximum Weight of Empty Vessel/(Stress in Bearing Plate and Concrete Foundation+(Maximum Seismic Moment/Section Modulus of Area A))
A = W_min/(f_c+(M_s/Z))
This formula uses 5 Variables

Variables Used

Area between Bearing Plate & Concrete Foundation - (Measured in Square Meter) - Area between Bearing Plate & Concrete Foundation refers to the surface area in contact between a bearing plate and the concrete foundation on which it rests.
Maximum Weight of Empty Vessel - (Measured in Newton) - Maximum Weight of Empty Vessel is determined by the vessel's weight capacity or displacement capacity.
Stress in Bearing Plate and Concrete Foundation - (Measured in Pascal) - Stress in Bearing Plate and Concrete Foundation cause deformation, cracking or failure of the components, which can compromise the integrity of the bolted connection.
Maximum Seismic Moment - (Measured in Newton Meter) - Maximum Seismic Moment is the reaction induced in a vessel when an external force or moment is applied to the element causing the element to bend.
Section Modulus of Area A - (Measured in Square Meter) - Section Modulus of Area A is measure of the stiffness and strength of a cross-sectional shape and defined as the ratio of the maximum bending moment.

STEP 1: Convert Input(s) to Base Unit

Maximum Weight of Empty Vessel: 120000 Newton --> 120000 Newton No Conversion Required
Stress in Bearing Plate and Concrete Foundation: 2.213 Newton per Square Millimeter --> 2213000 Pascal (Check conversion here)
Maximum Seismic Moment: 4400000 Newton Millimeter --> 4400 Newton Meter (Check conversion here)
Section Modulus of Area A: 15497588.76 Square Millimeter --> 15.49758876 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = W_min/(f_c+(M_s/Z)) --> 120000/(2213000+(4400/15.49758876))

Evaluating ... ...

A = 0.0542180780239836

STEP 3: Convert Result to Output's Unit

0.0542180780239836 Square Meter -->54218.0780239836 Square Millimeter (Check conversion here)

FINAL ANSWER

54218.0780239836 ≈ 54218.08 Square Millimeter <-- Area between Bearing Plate & Concrete Foundation

(Calculation completed in 00.004 seconds)

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< 7 Skirt Supports Calculators

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)

Area using Minimum Stress

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

Area between Bearing Plate and Concrete Foundation using Compressive Stress

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

Total Weight of Vessel given Maximum Compressive Stress

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

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)

Circumferential Length of Bearing Plate given Maximum Bending Moment

Go Circumferential Length of Bearing Plate = Maximum Bending Moment/(Compressive Stress*(Difference Between Radius Bearing Plate and Skirt^2/2))

Maximum Bending Moment at Junction of Skirt and Bearing Plate

Go Maximum Bending Moment = Compressive Stress*Circumferential Length of Bearing Plate*(Difference Between Radius Bearing Plate and Skirt^(2)/2)

Area using Minimum Stress Formula

What is Minimum Stress?

Minimum stress is a concept used in the context of stress analysis and material mechanics. It refers to the smallest magnitude of stress within a material or structure at a particular point or in a particular region. Stress, in this context, can be either normal stress (perpendicular to the surface) or shear stress (parallel to the surface). Minimum stress is important to consider because it helps in understanding the overall stress distribution within a material or structure. It is often used in conjunction with maximum stress (the highest magnitude of stress) to assess how a material or component responds to external loads and forces.

How to Calculate Area using Minimum Stress?

Area using Minimum Stress calculator uses Area between Bearing Plate & Concrete Foundation = Maximum Weight of Empty Vessel/(Stress in Bearing Plate and Concrete Foundation+(Maximum Seismic Moment/Section Modulus of Area A)) to calculate the Area between Bearing Plate & Concrete Foundation, The Area using Minimum Stress formula helps determine the area between the bearing plate and the concrete foundation by rearranging the stress equation. Area between Bearing Plate & Concrete Foundation is denoted by A symbol.

How to calculate Area using Minimum Stress using this online calculator? To use this online calculator for Area using Minimum Stress, enter Maximum Weight of Empty Vessel (W_min), Stress in Bearing Plate and Concrete Foundation (f_c), Maximum Seismic Moment (M_s) & Section Modulus of Area A (Z) and hit the calculate button. Here is how the Area using Minimum Stress calculation can be explained with given input values -> 5.4E+10 = 120000/(2213000+(4400/15.49758876)).

FAQ

What is Area using Minimum Stress?

The Area using Minimum Stress formula helps determine the area between the bearing plate and the concrete foundation by rearranging the stress equation and is represented as A = W_min/(f_c+(M_s/Z)) or Area between Bearing Plate & Concrete Foundation = Maximum Weight of Empty Vessel/(Stress in Bearing Plate and Concrete Foundation+(Maximum Seismic Moment/Section Modulus of Area A)). Maximum Weight of Empty Vessel is determined by the vessel's weight capacity or displacement capacity, Stress in Bearing Plate and Concrete Foundation cause deformation, cracking or failure of the components, which can compromise the integrity of the bolted connection, Maximum Seismic Moment is the reaction induced in a vessel when an external force or moment is applied to the element causing the element to bend & Section Modulus of Area A is measure of the stiffness and strength of a cross-sectional shape and defined as the ratio of the maximum bending moment.

How to calculate Area using Minimum Stress?

The Area using Minimum Stress formula helps determine the area between the bearing plate and the concrete foundation by rearranging the stress equation is calculated using Area between Bearing Plate & Concrete Foundation = Maximum Weight of Empty Vessel/(Stress in Bearing Plate and Concrete Foundation+(Maximum Seismic Moment/Section Modulus of Area A)). To calculate Area using Minimum Stress, you need Maximum Weight of Empty Vessel (W_min), Stress in Bearing Plate and Concrete Foundation (f_c), Maximum Seismic Moment (M_s) & Section Modulus of Area A (Z). With our tool, you need to enter the respective value for Maximum Weight of Empty Vessel, Stress in Bearing Plate and Concrete Foundation, Maximum Seismic Moment & Section Modulus of Area A 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 Area between Bearing Plate & Concrete Foundation?

In this formula, Area between Bearing Plate & Concrete Foundation uses Maximum Weight of Empty Vessel, Stress in Bearing Plate and Concrete Foundation, Maximum Seismic Moment & Section Modulus of Area A. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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