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Max Vertical Direct Stress Distribution at Base Formula

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Vertical direct stress Is the Direct sheer stresses are felt by a body when a force acts in the tangential direction of the surface. Check FAQs

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

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

Max Vertical Direct Stress Distribution at Base Example

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

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

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

103.04 = (\frac{1400}{25}) \cdot (1 + (6 \cdot \frac{3.5}{25}))

103.04kN/m² = (\frac{1400kN}{25m}) \cdot (1 + (6 \cdot \frac{3.5}{25m}))

103.04 = (\frac{1400}{25}) \cdot (1 + (6 \cdot \frac{3.5}{25}))

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Max Vertical Direct Stress Distribution at Base Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

ρ max = 103040Pa

LAST Step Convert to Output's Unit

∴

ρ max = 103.04kN/m²

Max Vertical Direct Stress Distribution at Base Formula Elements

Variables

Vertical Direct Stress

Vertical direct stress Is the Direct sheer stresses are felt by a body when a force acts in the tangential direction of the surface.

Symbol: ρ_max

Measurement: StressUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find 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 Minimum Vertical Direct Stress Distribution at Base

ρ min = (\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 Max Vertical Direct Stress Distribution at Base?

Max Vertical Direct Stress Distribution at Base evaluator uses Vertical Direct Stress = (Total Vertical Force/Base Width)*(1+(6*Eccentricity of Resultant Force/Base Width)) to evaluate the Vertical Direct Stress, The Max Vertical Direct Stress Distribution at Base formula is defined as direct shear stresses that are felt by a body when a force acts in the tangential direction of the surface. Vertical Direct Stress is denoted by ρ_max symbol.

How to evaluate Max Vertical Direct Stress Distribution at Base using this online evaluator? To use this online evaluator for Max 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 Max Vertical Direct Stress Distribution at Base

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

The formula of Max Vertical Direct Stress Distribution at Base is expressed as Vertical Direct Stress = (Total Vertical Force/Base Width)*(1+(6*Eccentricity of Resultant Force/Base Width)). Here is an example- 0.10304 = (1400000/25)*(1+(6*3.5/25)).

How to calculate Max Vertical Direct Stress Distribution at Base?

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

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

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

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

Max 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 Max Vertical Direct Stress Distribution at Base can be measured.

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Max Vertical Direct Stress Distribution at Base Formula

Max Vertical Direct Stress Distribution at Base Example

Max Vertical Direct Stress Distribution at Base Solution

Max Vertical Direct Stress Distribution at Base Formula Elements

Other formulas in Structural Stability of Gravity Dams category

How to Evaluate Max Vertical Direct Stress Distribution at Base?

FAQs on Max Vertical Direct Stress Distribution at Base

Variable Name