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

✖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.ⓘ Sub Merged Unit Weight of Silt Materials [Γ_s]			+10% -10%
✖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.ⓘ Height of Silt Deposited [h]			+10% -10%
✖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.ⓘ Coefficient of Active Earth Pressure of Silt [K_a]			+10% -10%

✖Force exerted by silt in water pressure is one of the forces acting on the dam structure.ⓘ Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula [P_silt]

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Formula

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

Formula

`"P"_{"silt"} = (1/2)*"Γ"_{"s"}*("h"^2)*"K"_{"a"}`

Example

`"153kN/m²"=(1/2)*"17kN/m³"*(("3m")^2)*"2"`

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

STEP 0: Pre-Calculation Summary

Formula Used

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
P_silt = (1/2)*Γ_s*(h^2)*K_a
This formula uses 4 Variables

Variables Used

Force Exerted by Silt in Water Pressure - (Measured in Pascal) - Force exerted by silt in water pressure is one of the forces acting on the dam structure.
Sub Merged Unit Weight of Silt Materials - (Measured in Newton per Cubic Meter) - 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.
Height of Silt Deposited - (Measured in Meter) - 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.
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.

STEP 1: Convert Input(s) to Base Unit

Sub Merged Unit Weight of Silt Materials: 17 Kilonewton per Cubic Meter --> 17000 Newton per Cubic Meter (Check conversion here)
Height of Silt Deposited: 3 Meter --> 3 Meter No Conversion Required
Coefficient of Active Earth Pressure of Silt: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_silt = (1/2)*Γ_s*(h^2)*K_a --> (1/2)*17000*(3^2)*2

Evaluating ... ...

P_silt = 153000

STEP 3: Convert Result to Output's Unit

153000 Pascal -->153 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

153 Kilonewton per Square Meter <-- Force Exerted by Silt in Water Pressure

(Calculation completed in 00.004 seconds)

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< 8 Forces acting on Gravity Dam Calculators

Wave Height for Fetch Less than 32 kilometers

Go Height of Water from Top Crest to Bottom of Trough = (0.032*sqrt(Wind Velocity of Wave Pressure*Straight Length of Water Expense)+0.763)-(0.271*(Straight Length of Water Expense^(3/4)))

Net Effective Weight of Dam

Go Net Effective Weight of Dam = Total Weight of Dam-((Total Weight of Dam/Gravity adapted for Vertical Acceleration)*Fraction Gravity adapted for Vertical Acceleration)

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

Go 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

Von Karman Equation of Amount of Hydrodynamic Force acting from Base

Go Von Karman Amount of Hydrodynamic Force = 0.555*Fraction of Gravity for Horizontal Acceleration*Unit Weight of Water*(Depth of Water due to External Force^2)

Wave Height for Fetch more than 32 kilometers

Go Height of Water from Top Crest to Bottom of Trough = 0.032*sqrt(Wind Velocity of Wave Pressure*Straight Length of Water Expense)

Maximum Pressure Intensity due to Wave Action

Go Maximum Pressure Intensity due to Wave Action = (2.4*Unit Weight of Water*Height of Water from Top Crest to Bottom of Trough)

Moment of Hydrodynamic Force about Base

Go Moment of Hydrodynamic Force about Base = 0.424*Von Karman Amount of Hydrodynamic Force*Depth of Water due to External Force

Resultant Force due to External Water Pressure acting from Base

Go Resultant Force due to External Water = (1/2)*Unit Weight of Water*Depth of Water due to External Force^2

Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula 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
P_silt = (1/2)*Γ_s*(h^2)*K_a

What is Silt Pressure?

The silt pressure
where, Ka = (1-sinΦ)/(1+sinΦ).
γsub = submerged unit weight of silt material
h = height of silt deposited. If the upstream face is inclined, the vertical weight of the silt which is supported on the slope will also act as a vertical force.

What is Silt Pressure in Dam?

Earth submerged in water, and h is the height of silt submerged in water above the base of dam. Vertical silt and water pressure is determined as if silt and water together have a density of 1925 kg/m3. Other Forces acting on Gravity dam- Water Pressure. Uplift Pressure.

How to Calculate 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 calculator 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 calculate 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 calculate Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula using this online calculator? To use this online calculator 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. Here is how the Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula calculation can be explained with given input values -> 0.153 = (1/2)*17000*(3^2)*2.

FAQ

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

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 and is represented as P_silt = (1/2)*Γ_s*(h^2)*K_a or 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. 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, 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 & 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.

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

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 is calculated using 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 calculate Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula, you need Sub Merged Unit Weight of Silt Materials (Γ_s), Height of Silt Deposited (h) & Coefficient of Active Earth Pressure of Silt (K_a). With our tool, you need to enter the respective value for Sub Merged Unit Weight of Silt Materials, Height of Silt Deposited & Coefficient of Active Earth Pressure of Silt and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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