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Area using Minimum Stress Formula

GoArea between Bearing Plate and Concrete Foundation using Compressive Stress Formula

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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. Check FAQs

A = \frac{W min}{f c + (\frac{M s}{Z})}

A - Area between Bearing Plate & Concrete Foundation?W_min - Maximum Weight of Empty Vessel?f_c - Stress in Bearing Plate and Concrete Foundation?M_s - Maximum Seismic Moment?Z - Section Modulus of Area A?

Area using Minimum Stress Example

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Here is how the Area using Minimum Stress equation looks like with Values.

Here is how the Area using Minimum Stress equation looks like with Units.

Here is how the Area using Minimum Stress equation looks like.

54218.078 = \frac{120000}{2.213 + (\frac{4.4E+6}{1.5E+7})}

54218.078mm² = \frac{120000N}{2.213N/mm² + (\frac{4.4E+6N*mm}{1.5E+7mm²})}

54218.078 = \frac{120000}{2.213 + (\frac{4.4E+6}{1.5E+7})}

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Area using Minimum Stress Solution

Follow our step by step solution on how to calculate Area using Minimum Stress?

FIRST Step Consider the formula

A = \frac{W min}{f c + (\frac{M s}{Z})}

Next Step Substitute values of Variables

∴

A = \frac{120000N}{2.213N/mm² + (\frac{4.4E+6N*mm}{1.5E+7mm²})}

Next Step Convert Units

∴

A = \frac{120000N}{2.2E+6Pa + (\frac{4400N*m}{15.4976m²})}

Next Step Prepare to Evaluate

∴

A = \frac{120000}{2.2E+6 + (\frac{4400}{15.4976})}

Next Step Evaluate

∴

A = 0.0542180780239836m²

Next Step Convert to Output's Unit

∴

A = 54218.0780239836mm²

LAST Step Rounding Answer

∴

A = 54218.078mm²

Area using Minimum Stress Formula Elements

Variables

Area between Bearing Plate & Concrete Foundation

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.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area between Bearing Plate & Concrete Foundation

Maximum Weight of Empty Vessel

Maximum Weight of Empty Vessel is determined by the vessel's weight capacity or displacement capacity.

Symbol: W_min

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Maximum Weight of Empty Vessel

Stress in Bearing Plate and Concrete Foundation

Stress in Bearing Plate and Concrete Foundation cause deformation, cracking or failure of the components, which can compromise the integrity of the bolted connection.

Symbol: f_c

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Stress in Bearing Plate and Concrete Foundation

Maximum Seismic Moment

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.

Symbol: M_s

Measurement: Bending MomentUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Maximum Seismic Moment

Section Modulus of Area A

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.

Symbol: Z

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Section Modulus of Area A

Other Formulas to find Area between Bearing Plate & Concrete Foundation

Go Area between Bearing Plate and Concrete Foundation using Compressive Stress

A = \frac{ΣW}{f concrete - (\frac{M s}{Z})}

Other formulas in Skirt Supports category

Go Minimum Stress between Bearing Plate and Concrete Foundation

f c = (\frac{W min}{A}) - (\frac{M s}{Z})

Go Compressive Stress between Bearing Plate and Concrete Foundation

f Compressive = (\frac{ΣW}{A}) + (\frac{M s}{Z})

Go Maximum Bending Moment at Junction of Skirt and Bearing Plate

M max = f appliedload \cdot b \cdot (\frac{l^{2}}{2})

Go Circumferential Length of Bearing Plate given Maximum Bending Moment

b = \frac{M max}{f appliedload \cdot (\frac{l^{2}}{2})}

How to Evaluate Area using Minimum Stress?

Area using Minimum Stress evaluator 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 evaluate 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 evaluate Area using Minimum Stress using this online evaluator? To use this online evaluator 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.

FAQs on Area using Minimum Stress

What is the formula to find Area using Minimum Stress?

The formula of Area using Minimum Stress is expressed as 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)). Here is an example- 5.4E+10 = 120000/(2213000+(4400/15.49758876)).

How to calculate Area using Minimum Stress?

With 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) we can find Area using Minimum Stress using the formula - 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)).

What are the other ways to Calculate Area between Bearing Plate & Concrete Foundation?

Here are the different ways to Calculate Area between Bearing Plate & Concrete Foundation-

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

Can the Area using Minimum Stress be negative?

No, the Area using Minimum Stress, measured in Area cannot be negative.

Which unit is used to measure Area using Minimum Stress?

Area using Minimum Stress is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Area using Minimum Stress can be measured.

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Area using Minimum Stress Formula

​GoArea between Bearing Plate and Concrete Foundation using Compressive Stress Formula

Area using Minimum Stress Example

Area using Minimum Stress Solution

Area using Minimum Stress Formula Elements

Other Formulas to find Area between Bearing Plate & Concrete Foundation

Other formulas in Skirt Supports category

How to Evaluate Area using Minimum Stress?

FAQs on Area using Minimum Stress

Variable Name

GoArea between Bearing Plate and Concrete Foundation using Compressive Stress Formula