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Minimum Vertical Direct Stress Distribution at Base Formula

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Minimum vertical direct stress is the stress which is induced due to the applied load when it is perpendicular to the body or structure. Check FAQs

ρ min = (\frac{Σ v}{B}) \cdot (1 - (6 \cdot \frac{e}{B}))

ρ_min - Minimum Vertical Direct Stress?Σ_v - Total Vertical Force?B - Base Width?e - Eccentricity of Resultant Force?

Minimum Vertical Direct Stress Distribution at Base Example

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Here is how the Minimum Vertical Direct Stress Distribution at Base equation looks like with Values.

Here is how the Minimum Vertical Direct Stress Distribution at Base equation looks like with Units.

Here is how the Minimum Vertical Direct Stress Distribution at Base equation looks like.

8.96 = (\frac{1400}{25}) \cdot (1 - (6 \cdot \frac{3.5}{25}))

8.96kN/m² = (\frac{1400kN}{25m}) \cdot (1 - (6 \cdot \frac{3.5}{25m}))

8.96 = (\frac{1400}{25}) \cdot (1 - (6 \cdot \frac{3.5}{25}))

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Minimum Vertical Direct Stress Distribution at Base Solution

Follow our step by step solution on how to calculate Minimum Vertical Direct Stress Distribution at Base?

FIRST Step Consider the formula

ρ min = (\frac{Σ v}{B}) \cdot (1 - (6 \cdot \frac{e}{B}))

Next Step Substitute values of Variables

∴

ρ min = (\frac{1400kN}{25m}) \cdot (1 - (6 \cdot \frac{3.5}{25m}))

Next Step Convert Units

∴

ρ min = (\frac{1.4E+6N}{25m}) \cdot (1 - (6 \cdot \frac{3.5}{25m}))

Next Step Prepare to Evaluate

∴

ρ min = (\frac{1.4E+6}{25}) \cdot (1 - (6 \cdot \frac{3.5}{25}))

Next Step Evaluate

∴

ρ min = 8960Pa

LAST Step Convert to Output's Unit

∴

ρ min = 8.96kN/m²

Minimum Vertical Direct Stress Distribution at Base Formula Elements

Variables

Minimum Vertical Direct Stress

Minimum vertical direct stress is the stress which is induced due to the applied load when it is perpendicular to the body or structure.

Symbol: ρ_min

Measurement: StressUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Minimum Vertical Direct Stress

Total Vertical Force

Total vertical force forces that act in the vertical plane, which is perpendicular to the ground.

Symbol: Σ_v

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Total Vertical Force

Base Width

Base width is the maximum thickness or width of a dam measured horizontally between upstream and downstream faces and normal to the axis.

Symbol: B

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Width

Eccentricity of Resultant Force

Eccentricity of Resultant Force is a force that does not pass through the Centre of gravity of the body on which it acts or through a point at which the body is fixed.

Symbol: e

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Eccentricity of Resultant Force

Other formulas in Structural Stability of Gravity Dams category

Go Max Vertical Direct Stress Distribution at Base

ρ max = (\frac{Σ v}{B}) \cdot (1 + (6 \cdot \frac{e}{B}))

Go Shear Friction Factor

S.F.F = \frac{(μ \cdot Σ v) + (B \cdot q)}{ΣH}

Go Sliding Factor

S.F = μ \cdot \frac{Σ v}{ΣH}

Go Width of Elementary Gravity Dam

B = \frac{H d}{\sqrt{S c - C}}

How to Evaluate Minimum Vertical Direct Stress Distribution at Base?

Minimum Vertical Direct Stress Distribution at Base evaluator uses Minimum Vertical Direct Stress = (Total Vertical Force/Base Width)*(1-(6*Eccentricity of Resultant Force/Base Width)) to evaluate the Minimum Vertical Direct Stress, The Minimum Vertical Direct Stress Distribution at Base formula is defined as the direct stress which is induced due to the applied load when it is perpendicular to the body or structure. Minimum Vertical Direct Stress is denoted by ρ_min symbol.

How to evaluate Minimum Vertical Direct Stress Distribution at Base using this online evaluator? To use this online evaluator for Minimum Vertical Direct Stress Distribution at Base, enter Total Vertical Force (Σ_v), Base Width (B) & Eccentricity of Resultant Force (e) and hit the calculate button.

FAQs on Minimum Vertical Direct Stress Distribution at Base

What is the formula to find Minimum Vertical Direct Stress Distribution at Base?

The formula of Minimum Vertical Direct Stress Distribution at Base is expressed as Minimum Vertical Direct Stress = (Total Vertical Force/Base Width)*(1-(6*Eccentricity of Resultant Force/Base Width)). Here is an example- 0.00896 = (1400000/25)*(1-(6*3.5/25)).

How to calculate Minimum Vertical Direct Stress Distribution at Base?

With Total Vertical Force (Σ_v), Base Width (B) & Eccentricity of Resultant Force (e) we can find Minimum Vertical Direct Stress Distribution at Base using the formula - Minimum Vertical Direct Stress = (Total Vertical Force/Base Width)*(1-(6*Eccentricity of Resultant Force/Base Width)).

Can the Minimum Vertical Direct Stress Distribution at Base be negative?

No, the Minimum Vertical Direct Stress Distribution at Base, measured in Stress cannot be negative.

Which unit is used to measure Minimum Vertical Direct Stress Distribution at Base?

Minimum Vertical Direct Stress Distribution at Base is usually measured using the Kilonewton per Square Meter[kN/m²] for Stress. Pascal[kN/m²], Newton per Square Meter[kN/m²], Newton per Square Millimeter[kN/m²] are the few other units in which Minimum Vertical Direct Stress Distribution at Base can be measured.

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Minimum Vertical Direct Stress Distribution at Base Formula

Minimum Vertical Direct Stress Distribution at Base Example

Minimum Vertical Direct Stress Distribution at Base Solution

Minimum Vertical Direct Stress Distribution at Base Formula Elements

Other formulas in Structural Stability of Gravity Dams category

How to Evaluate Minimum Vertical Direct Stress Distribution at Base?

FAQs on Minimum Vertical Direct Stress Distribution at Base

Variable Name