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Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula Formula

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Force exerted by silt in water pressure is one of the forces acting on the dam structure. Check FAQs

P silt = (\frac{1}{2}) \cdot Γ s \cdot (h^{2}) \cdot K a

P_silt - Force Exerted by Silt in Water Pressure?Γ_s - Sub Merged Unit Weight of Silt Materials?h - Height of Silt Deposited?K_a - Coefficient of Active Earth Pressure of Silt?

Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula Example

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Here is how the Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula equation looks like with Values.

Here is how the Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula equation looks like with Units.

Here is how the Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula equation looks like.

153 = (\frac{1}{2}) \cdot 17 \cdot (3^{2}) \cdot 2

153kN/m² = (\frac{1}{2}) \cdot 17kN/m³ \cdot ({3m}^{2}) \cdot 2

153 = (\frac{1}{2}) \cdot 17 \cdot (3^{2}) \cdot 2

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Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula Solution

Follow our step by step solution on how to calculate Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula?

FIRST Step Consider the formula

P silt = (\frac{1}{2}) \cdot Γ s \cdot (h^{2}) \cdot K a

Next Step Substitute values of Variables

∴

P silt = (\frac{1}{2}) \cdot 17kN/m³ \cdot ({3m}^{2}) \cdot 2

Next Step Convert Units

∴

P silt = (\frac{1}{2}) \cdot 17000N/m³ \cdot ({3m}^{2}) \cdot 2

Next Step Prepare to Evaluate

∴

P silt = (\frac{1}{2}) \cdot 17000 \cdot (3^{2}) \cdot 2

Next Step Evaluate

∴

P silt = 153000Pa

LAST Step Convert to Output's Unit

∴

P silt = 153kN/m²

Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula Formula Elements

Variables

Force Exerted by Silt in Water Pressure

Force exerted by silt in water pressure is one of the forces acting on the dam structure.

Symbol: P_silt

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Force Exerted by Silt in Water Pressure

Sub Merged Unit Weight of Silt Materials

Sub merged unit weight of silt materials When the soil mass is submerged below the ground water table it is being acted upon by force of buoyancy in vertically upward direction.

Symbol: Γ_s

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Sub Merged Unit Weight of Silt Materials

Height of Silt Deposited

Height of silt deposited If the upstream face is inclined, the vertical weight of the silt which is supported on the slope will also acts as a vertical force.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Silt Deposited

Coefficient of Active Earth Pressure of Silt

Coefficient of active earth pressure of silt is the ratio of horizontal and vertical principal effective stresses when a retaining wall moves away (by a small amount) from the retained soil.

Symbol: K_a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Active Earth Pressure of Silt

Other formulas in Forces acting on Gravity Dam category

Go Net Effective Weight of Dam

W net = W - ((\frac{W}{g}) \cdot a v)

Go Resultant Force due to External Water Pressure acting from Base

P = (\frac{1}{2}) \cdot Γ w \cdot H^{2}

Go Von Karman Equation of Amount of Hydrodynamic Force acting from Base

P e = 0.555 \cdot K h \cdot Γ w \cdot (H^{2})

Go Moment of Hydrodynamic Force about Base

M e = 0.424 \cdot P e \cdot H

How to Evaluate Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula?

Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula evaluator uses Force Exerted by Silt in Water Pressure = (1/2)*Sub Merged Unit Weight of Silt Materials*(Height of Silt Deposited^2)*Coefficient of Active Earth Pressure of Silt to evaluate the Force Exerted by Silt in Water Pressure, The Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula formula is defined as calculating the force exerted by silt and also the external water pressure. Force Exerted by Silt in Water Pressure is denoted by P_silt symbol.

How to evaluate Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula using this online evaluator? To use this online evaluator for Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula, enter Sub Merged Unit Weight of Silt Materials (Γ_s), Height of Silt Deposited (h) & Coefficient of Active Earth Pressure of Silt (K_a) and hit the calculate button.

FAQs on Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula

What is the formula to find Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula?

The formula of Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula is expressed as Force Exerted by Silt in Water Pressure = (1/2)*Sub Merged Unit Weight of Silt Materials*(Height of Silt Deposited^2)*Coefficient of Active Earth Pressure of Silt. Here is an example- 0.153 = (1/2)*17000*(3^2)*2.

How to calculate Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula?

With Sub Merged Unit Weight of Silt Materials (Γ_s), Height of Silt Deposited (h) & Coefficient of Active Earth Pressure of Silt (K_a) we can find Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula using the formula - Force Exerted by Silt in Water Pressure = (1/2)*Sub Merged Unit Weight of Silt Materials*(Height of Silt Deposited^2)*Coefficient of Active Earth Pressure of Silt.

Can the Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula be negative?

No, the Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula, measured in Pressure cannot be negative.

Which unit is used to measure Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula?

Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula is usually measured using the Kilonewton per Square Meter[kN/m²] for Pressure. Pascal[kN/m²], Kilopascal[kN/m²], Bar[kN/m²] are the few other units in which Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula can be measured.

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Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula Formula

Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula Example

Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula Solution

Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula Formula Elements

Other formulas in Forces acting on Gravity Dam category

How to Evaluate Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula?

FAQs on Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula

Variable Name