Area between Bearing Plate and Concrete Foundation using Compressive Stress Calculator

✖Total Weight of Vessel with Attachment widely depends on its size, material, and function.ⓘ Total Weight of Vessel [ΣW]			+10% -10%
✖Maximum Compressive Stress of Concrete is the maximum stress that, under a gradually applied load, a given solid material can sustain without fracture.ⓘ Maximum Compressive Stress of Concrete [f_concrete]			+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 between Bearing Plate and Concrete Foundation using Compressive Stress [A]

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Formula

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Area between Bearing Plate and Concrete Foundation using Compressive Stress

Formula

`"A" = "ΣW"/("f"_{"concrete"}-("M"_{"s"}/"Z"))`

Example

`"0.031646mm²"="50000N"/("1.58N/mm²"-("4400000N*mm"/"15497588.76mm²"))`

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Area between Bearing Plate and Concrete Foundation using Compressive Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area between Bearing Plate & Concrete Foundation = Total Weight of Vessel/(Maximum Compressive Stress of Concrete-(Maximum Seismic Moment/Section Modulus of Area A))
A = ΣW/(f_concrete-(M_s/Z))
This formula uses 5 Variables

Variables Used

Area between Bearing Plate & Concrete Foundation - (Measured in Square Millimeter) - 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.
Total Weight of Vessel - (Measured in Newton) - Total Weight of Vessel with Attachment widely depends on its size, material, and function.
Maximum Compressive Stress of Concrete - (Measured in Pascal) - Maximum Compressive Stress of Concrete is the maximum stress that, under a gradually applied load, a given solid material can sustain without fracture.
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 Millimeter) - 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

Total Weight of Vessel: 50000 Newton --> 50000 Newton No Conversion Required
Maximum Compressive Stress of Concrete: 1.58 Newton per Square Millimeter --> 1580000 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 --> 15497588.76 Square Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = ΣW/(f_concrete-(M_s/Z)) --> 50000/(1580000-(4400/15497588.76))

Evaluating ... ...

A = 0.0316455696259397

STEP 3: Convert Result to Output's Unit

3.16455696259396E-08 Square Meter -->0.0316455696259396 Square Millimeter (Check conversion here)

FINAL ANSWER

0.0316455696259396 ≈ 0.031646 Square Millimeter <-- Area between Bearing Plate & Concrete Foundation

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Process Equipment Design » Vessel Supports » Skirt Supports » Area between Bearing Plate and Concrete Foundation using Compressive Stress

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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 between Bearing Plate and Concrete Foundation using Compressive Stress Formula

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

What is Compressive Stress?

Compressive stress is a type of mechanical stress that occurs when an object is subjected to a force or load that tends to push or squeeze the material, causing it to become shorter or more compact along the axis in which the force is applied. It is the opposite of tensile stress, which occurs when a material is pulled or stretched. Compressive stress is an important consideration in the design and analysis of structures, such as buildings, bridges, and mechanical components. Engineers and materials scientists must ensure that materials used in such applications can withstand the compressive loads they may experience to prevent structural failure.

How to Calculate Area between Bearing Plate and Concrete Foundation using Compressive Stress?

Area between Bearing Plate and Concrete Foundation using Compressive Stress calculator uses Area between Bearing Plate & Concrete Foundation = Total Weight of Vessel/(Maximum Compressive Stress of Concrete-(Maximum Seismic Moment/Section Modulus of Area A)) to calculate the Area between Bearing Plate & Concrete Foundation, Area between Bearing Plate and Concrete Foundation using Compressive Stress determine the minimum required area between the bearing plate and the concrete foundation to support the vessel while ensuring that the compressive stress and seismic moments are within acceptable limits for the structural integrity and safety of the system. Area between Bearing Plate & Concrete Foundation is denoted by A symbol.

How to calculate Area between Bearing Plate and Concrete Foundation using Compressive Stress using this online calculator? To use this online calculator for Area between Bearing Plate and Concrete Foundation using Compressive Stress, enter Total Weight of Vessel (ΣW), Maximum Compressive Stress of Concrete (f_concrete), Maximum Seismic Moment (M_s) & Section Modulus of Area A (Z) and hit the calculate button. Here is how the Area between Bearing Plate and Concrete Foundation using Compressive Stress calculation can be explained with given input values -> 2.7E+6 = 50000/(1580000-(4400/15.49758876)).

FAQ

What is Area between Bearing Plate and Concrete Foundation using Compressive Stress?

Area between Bearing Plate and Concrete Foundation using Compressive Stress determine the minimum required area between the bearing plate and the concrete foundation to support the vessel while ensuring that the compressive stress and seismic moments are within acceptable limits for the structural integrity and safety of the system and is represented as A = ΣW/(f_concrete-(M_s/Z)) or 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 with Attachment widely depends on its size, material, and function, Maximum Compressive Stress of Concrete is the maximum stress that, under a gradually applied load, a given solid material can sustain without fracture, 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 between Bearing Plate and Concrete Foundation using Compressive Stress?

Area between Bearing Plate and Concrete Foundation using Compressive Stress determine the minimum required area between the bearing plate and the concrete foundation to support the vessel while ensuring that the compressive stress and seismic moments are within acceptable limits for the structural integrity and safety of the system is calculated using Area between Bearing Plate & Concrete Foundation = Total Weight of Vessel/(Maximum Compressive Stress of Concrete-(Maximum Seismic Moment/Section Modulus of Area A)). To calculate Area between Bearing Plate and Concrete Foundation using Compressive Stress, you need Total Weight of Vessel (ΣW), Maximum Compressive Stress of Concrete (f_concrete), Maximum Seismic Moment (M_s) & Section Modulus of Area A (Z). With our tool, you need to enter the respective value for Total Weight of Vessel, Maximum Compressive Stress of Concrete, 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 Total Weight of Vessel, Maximum Compressive Stress of Concrete, 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 = Maximum Weight of Empty Vessel/(Stress in Bearing Plate and Concrete Foundation+(Maximum Seismic Moment/Section Modulus of Area A))

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