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Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section Formula

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

ȳ = \frac{1}{2} \cdot (σ + \frac{d}{2})

ȳ - Distance to CG of Area from NA?σ - Distance from Neutral Axis?d - Depth of Rectangular Section?

Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section Example

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Here is how the Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section equation looks like with Values.

Here is how the Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section equation looks like with Units.

Here is how the Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section equation looks like.

73.75 = \frac{1}{2} \cdot (5 + \frac{285}{2})

73.75mm = \frac{1}{2} \cdot (5mm + \frac{285mm}{2})

73.75 = \frac{1}{2} \cdot (5 + \frac{285}{2})

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Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section Solution

Follow our step by step solution on how to calculate Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section?

FIRST Step Consider the formula

ȳ = \frac{1}{2} \cdot (σ + \frac{d}{2})

Next Step Substitute values of Variables

∴

ȳ = \frac{1}{2} \cdot (5mm + \frac{285mm}{2})

Next Step Convert Units

∴

ȳ = \frac{1}{2} \cdot (0.005m + \frac{0.285m}{2})

Next Step Prepare to Evaluate

∴

ȳ = \frac{1}{2} \cdot (0.005 + \frac{0.285}{2})

Next Step Evaluate

∴

ȳ = 0.07375m

LAST Step Convert to Output's Unit

∴

ȳ = 73.75mm

Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section Formula Elements

Variables

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

Distance from Neutral Axis

Distance from neutral axis in a beam is the perpendicular distance from the neutral axis to a specific point within the beam’s cross-section. It is an imaginary line where the bending stress is zero.

Symbol: σ

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Distance from Neutral Axis

Depth of Rectangular Section

Depth of rectangular section is the vertical dimension of the cross-section of the beam helps in calculating various stresses and ensuring the structural integrity of the beam.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Rectangular Section

Other formulas in Shear Stress in Rectangular Section category

Go Distance of Considered Level from Neutral Axis for Rectangular Section

σ = 2 \cdot (ȳ - \frac{d}{4})

Go Shear Stress for Rectangular Section

𝜏 = \frac{V}{2 \cdot I} \cdot (\frac{d^{2}}{4} - σ^{2})

Go Shear Force for Rectangular Section

V = \frac{2 \cdot I \cdot 𝜏}{\frac{d^{2}}{4} - σ^{2}}

Go Moment of Inertia of Rectangular Section about Neutral Axis

I = \frac{V}{2 \cdot 𝜏} \cdot (\frac{d^{2}}{4} - σ^{2})

How to Evaluate Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section?

Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section evaluator uses Distance to CG of Area from NA = 1/2*(Distance from Neutral Axis+Depth of Rectangular Section/2) to evaluate the Distance to CG of Area from NA, Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section formula is defined as the vertical distance from the neutral axis to the centroid of the area above a certain level in a rectangular section, which is essential in calculating shear stress in rectangular sections. Distance to CG of Area from NA is denoted by ȳ symbol.

How to evaluate Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section using this online evaluator? To use this online evaluator for Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section, enter Distance from Neutral Axis (σ) & Depth of Rectangular Section (d) and hit the calculate button.

FAQs on Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section

What is the formula to find Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section?

The formula of Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section is expressed as Distance to CG of Area from NA = 1/2*(Distance from Neutral Axis+Depth of Rectangular Section/2). Here is an example- 73750 = 1/2*(0.005+0.285/2).

How to calculate Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section?

With Distance from Neutral Axis (σ) & Depth of Rectangular Section (d) we can find Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section using the formula - Distance to CG of Area from NA = 1/2*(Distance from Neutral Axis+Depth of Rectangular Section/2).

Can the Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section be negative?

No, the Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section, measured in Length cannot be negative.

Which unit is used to measure Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section?

Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section can be measured.

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Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section Formula

Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section Example

Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section Solution

Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section Formula Elements

Other formulas in Shear Stress in Rectangular Section category

How to Evaluate Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section?

FAQs on Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section

Variable Name