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Area to Maintain Stress as Wholly Compressive given Eccentricity Formula

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Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area. Check FAQs

A = \frac{Z}{e'}

A - Area of Cross-Section?Z - Section Modulus for Eccentric Load on Beam?e' - Eccentricity of Load?

Area to Maintain Stress as Wholly Compressive given Eccentricity Example

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Here is how the Area to Maintain Stress as Wholly Compressive given Eccentricity equation looks like with Values.

Here is how the Area to Maintain Stress as Wholly Compressive given Eccentricity equation looks like with Units.

Here is how the Area to Maintain Stress as Wholly Compressive given Eccentricity equation looks like.

5600 = \frac{1.1E+6}{200}

5600mm² = \frac{1.1E+6mm³}{200mm}

5600 = \frac{1.1E+6}{200}

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Strength of Materials » fx Area to Maintain Stress as Wholly Compressive given Eccentricity

Area to Maintain Stress as Wholly Compressive given Eccentricity Solution

Follow our step by step solution on how to calculate Area to Maintain Stress as Wholly Compressive given Eccentricity?

FIRST Step Consider the formula

A = \frac{Z}{e'}

Next Step Substitute values of Variables

∴

A = \frac{1.1E+6mm³}{200mm}

Next Step Convert Units

∴

A = \frac{0.0011m³}{0.2m}

Next Step Prepare to Evaluate

∴

A = \frac{0.0011}{0.2}

Next Step Evaluate

∴

A = 0.0056m²

LAST Step Convert to Output's Unit

∴

A = 5600mm²

Area to Maintain Stress as Wholly Compressive given Eccentricity Formula Elements

Variables

Area of Cross-Section

Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Cross-Section

Section Modulus for Eccentric Load on Beam

Section Modulus for Eccentric Load on Beam is a geometric property for a given cross-section used in the design of beams or flexural members.

Symbol: Z

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus for Eccentric Load on Beam

Eccentricity of Load

Eccentricity of Load is the distance from point of application of resultant to center of base.

Symbol: e'

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Eccentricity of Load

Other formulas in Strain Energy category

Go Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre

B = \frac{3 \cdot P \cdot a}{σ \cdot {d e}^{2}}

Go Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre

d e = \sqrt{\frac{3 \cdot P \cdot a}{B \cdot σ}}

Go Stress of Beam of Uniform Strength

σ = \frac{3 \cdot P \cdot a}{B \cdot {d e}^{2}}

Go Loading of Beam of Uniform Strength

P = \frac{σ \cdot B \cdot {d e}^{2}}{3 \cdot a}

How to Evaluate Area to Maintain Stress as Wholly Compressive given Eccentricity?

Area to Maintain Stress as Wholly Compressive given Eccentricity evaluator uses Area of Cross-Section = Section Modulus for Eccentric Load on Beam/Eccentricity of Load to evaluate the Area of Cross-Section, The Area to Maintain Stress as Wholly Compressive given Eccentricity formula is defined as the minimum area to ensure that the beam is fully in compression. Area of Cross-Section is denoted by A symbol.

How to evaluate Area to Maintain Stress as Wholly Compressive given Eccentricity using this online evaluator? To use this online evaluator for Area to Maintain Stress as Wholly Compressive given Eccentricity, enter Section Modulus for Eccentric Load on Beam (Z) & Eccentricity of Load (e') and hit the calculate button.

FAQs on Area to Maintain Stress as Wholly Compressive given Eccentricity

What is the formula to find Area to Maintain Stress as Wholly Compressive given Eccentricity?

The formula of Area to Maintain Stress as Wholly Compressive given Eccentricity is expressed as Area of Cross-Section = Section Modulus for Eccentric Load on Beam/Eccentricity of Load. Here is an example- 0.0056 = 0.00112/0.2.

How to calculate Area to Maintain Stress as Wholly Compressive given Eccentricity?

With Section Modulus for Eccentric Load on Beam (Z) & Eccentricity of Load (e') we can find Area to Maintain Stress as Wholly Compressive given Eccentricity using the formula - Area of Cross-Section = Section Modulus for Eccentric Load on Beam/Eccentricity of Load.

Can the Area to Maintain Stress as Wholly Compressive given Eccentricity be negative?

No, the Area to Maintain Stress as Wholly Compressive given Eccentricity, measured in Area cannot be negative.

Which unit is used to measure Area to Maintain Stress as Wholly Compressive given Eccentricity?

Area to Maintain Stress as Wholly Compressive given Eccentricity 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 to Maintain Stress as Wholly Compressive given Eccentricity can be measured.

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Area to Maintain Stress as Wholly Compressive given Eccentricity Formula

Area to Maintain Stress as Wholly Compressive given Eccentricity Example

Area to Maintain Stress as Wholly Compressive given Eccentricity Solution

Area to Maintain Stress as Wholly Compressive given Eccentricity Formula Elements

Other formulas in Strain Energy category

How to Evaluate Area to Maintain Stress as Wholly Compressive given Eccentricity?

FAQs on Area to Maintain Stress as Wholly Compressive given Eccentricity

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