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Area of Section above Considered Level Formula

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Area of section above considered level is the area of a section of a beam or other structural member that is above a certain reference level, used in calculations of shear stress and bending moments. Check FAQs

A above = \frac{𝜏 \cdot I \cdot w}{V \cdot ȳ}

A_above - Area of Section above Considered Level?𝜏 - Shear Stress at Section?I - Moment of Inertia of Area of Section?w - Beam Width at Considered Level?V - Shear Force at Section?ȳ - Distance to CG of Area from NA?

Area of Section above Considered Level Example

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Here is how the Area of Section above Considered Level equation looks like with Values.

Here is how the Area of Section above Considered Level equation looks like with Units.

Here is how the Area of Section above Considered Level equation looks like.

1986.0627 = \frac{0.005 \cdot 0.0017 \cdot 95}{4.9 \cdot 82}

1986.0627mm² = \frac{0.005MPa \cdot 0.0017m⁴ \cdot 95mm}{4.9kN \cdot 82mm}

1986.0627 = \frac{0.005 \cdot 0.0017 \cdot 95}{4.9 \cdot 82}

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Area of Section above Considered Level Solution

Follow our step by step solution on how to calculate Area of Section above Considered Level?

FIRST Step Consider the formula

A above = \frac{𝜏 \cdot I \cdot w}{V \cdot ȳ}

Next Step Substitute values of Variables

∴

A above = \frac{0.005MPa \cdot 0.0017m⁴ \cdot 95mm}{4.9kN \cdot 82mm}

Next Step Convert Units

∴

A above = \frac{5000Pa \cdot 0.0017m⁴ \cdot 0.095m}{4900N \cdot 0.082m}

Next Step Prepare to Evaluate

∴

A above = \frac{5000 \cdot 0.0017 \cdot 0.095}{4900 \cdot 0.082}

Next Step Evaluate

∴

A above = 0.00198606271777004m²

Next Step Convert to Output's Unit

∴

A above = 1986.06271777004mm²

LAST Step Rounding Answer

∴

A above = 1986.0627mm²

Area of Section above Considered Level Formula Elements

Variables

Area of Section above Considered Level

Area of section above considered level is the area of a section of a beam or other structural member that is above a certain reference level, used in calculations of shear stress and bending moments.

Symbol: A_above

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Section above Considered Level

Shear Stress at Section

Shear stress at section is the internal force per unit area acting parallel to the cross-section of a material arises from shear forces, that act along the plane of the section.

Symbol: 𝜏

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress at Section

Moment of Inertia of Area of Section

Moment of inertia of area of section is a geometric property that measures how a cross-section’s area is distributed relative to an axis for predicting a beam’s resistance to bending and deflection.

Symbol: I

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Area of Section

Beam Width at Considered Level

Beam width at considered level is the width of a beam at a specific height or section along its length analyzed for the load distribution, shear forces, and bending moments within the beam.

Symbol: w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Beam Width at Considered Level

Shear Force at Section

Shear force at section is the algebraic sum of all the vertical forces acting on one side of the section representing the internal force that acts parallel to the cross-section of the beam.

Symbol: V

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Shear Force at Section

Distance to CG of Area from NA

Distance to CG of Area from NA is a distance helps in determining the distribution of stresses within a beam or any structural element.

Symbol: ȳ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance to CG of Area from NA

Other formulas in Shear Stress at a Section category

Go Shear Force at Section given Shear Area

V = 𝜏 \cdot A v

Go Width of Beam at Considered Level

w = \frac{V \cdot A above \cdot ȳ}{I \cdot 𝜏}

Go Moment of Inertia of Section about Neutral Axis

I = \frac{V \cdot A above \cdot ȳ}{𝜏 \cdot w}

Go Distance of Center of Gravity of Area (above Considered Level) from Neutral Axis

ȳ = \frac{𝜏 \cdot I \cdot w}{V \cdot A above}

How to Evaluate Area of Section above Considered Level?

Area of Section above Considered Level evaluator uses Area of Section above Considered Level = (Shear Stress at Section*Moment of Inertia of Area of Section*Beam Width at Considered Level)/(Shear Force at Section*Distance to CG of Area from NA) to evaluate the Area of Section above Considered Level, Area of Section above Considered Level formula is defined as a measure of the area above a considered level in a section, which is essential in determining the shear stress at a section, providing valuable insights into the structural integrity of a system. Area of Section above Considered Level is denoted by A_above symbol.

How to evaluate Area of Section above Considered Level using this online evaluator? To use this online evaluator for Area of Section above Considered Level, enter Shear Stress at Section (𝜏), Moment of Inertia of Area of Section (I), Beam Width at Considered Level (w), Shear Force at Section (V) & Distance to CG of Area from NA (ȳ) and hit the calculate button.

FAQs on Area of Section above Considered Level

What is the formula to find Area of Section above Considered Level?

The formula of Area of Section above Considered Level is expressed as Area of Section above Considered Level = (Shear Stress at Section*Moment of Inertia of Area of Section*Beam Width at Considered Level)/(Shear Force at Section*Distance to CG of Area from NA). Here is an example- 2E+9 = (5000*0.00168*0.095)/(4900*0.082).

How to calculate Area of Section above Considered Level?

With Shear Stress at Section (𝜏), Moment of Inertia of Area of Section (I), Beam Width at Considered Level (w), Shear Force at Section (V) & Distance to CG of Area from NA (ȳ) we can find Area of Section above Considered Level using the formula - Area of Section above Considered Level = (Shear Stress at Section*Moment of Inertia of Area of Section*Beam Width at Considered Level)/(Shear Force at Section*Distance to CG of Area from NA).

Can the Area of Section above Considered Level be negative?

No, the Area of Section above Considered Level, measured in Area cannot be negative.

Which unit is used to measure Area of Section above Considered Level?

Area of Section above Considered Level 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 of Section above Considered Level can be measured.

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Area of Section above Considered Level Formula

Area of Section above Considered Level Example

Area of Section above Considered Level Solution

Area of Section above Considered Level Formula Elements

Other formulas in Shear Stress at a Section category

How to Evaluate Area of Section above Considered Level?

FAQs on Area of Section above Considered Level

Variable Name