Weighted Value given Average Unit Weight of Deposit Calculator

✖Percentage of Sand on weight basis present in the sediment deposit.ⓘ Percentage of Sand [p_sa]			+10% -10%
✖Constant B1 is related to the compacting characteristics of the sediment components.ⓘ Constant B1 [B₁]			+10% -10%
✖Percentage of Silt on weight basis present in the sediment deposit.ⓘ Percentage of Silt [p_si]			+10% -10%
✖Constant B2 is related to the compacting characteristics of the sediment components.ⓘ Constant B2 [B₂]			+10% -10%
✖Percentage of Clay on weight basis present in the sediment deposit.ⓘ Percentage of Clay [p_cl]			+10% -10%
✖Constant B3 is related to the compacting characteristics of the sediment components.ⓘ Constant B3 [B₃]			+10% -10%

✖Weighted Value of B in decimal, is the weightages of sand, silt and clay samples present in fraction form.ⓘ Weighted Value given Average Unit Weight of Deposit [B_w]

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Formula

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Weighted Value given Average Unit Weight of Deposit

Formula

`"B"_{"w"} = (("p"_{"sa"}*"B"_{"1"})+("p"_{"si"}*"B"_{"2"})+("p"_{"cl"}*"B"_{"3"}))/100`

Example

`"12.595"=(("20.0"*"0.20")+("35"*"0.10")+("31.3"*"40"))/100`

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Weighted Value given Average Unit Weight of Deposit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weighted Value of B = ((Percentage of Sand*Constant B1)+(Percentage of Silt*Constant B2)+(Percentage of Clay*Constant B3))/100
B_w = ((p_sa*B₁)+(p_si*B₂)+(p_cl*B₃))/100
This formula uses 7 Variables

Variables Used

Weighted Value of B - Weighted Value of B in decimal, is the weightages of sand, silt and clay samples present in fraction form.
Percentage of Sand - Percentage of Sand on weight basis present in the sediment deposit.
Constant B1 - Constant B1 is related to the compacting characteristics of the sediment components.
Percentage of Silt - Percentage of Silt on weight basis present in the sediment deposit.
Constant B2 - Constant B2 is related to the compacting characteristics of the sediment components.
Percentage of Clay - Percentage of Clay on weight basis present in the sediment deposit.
Constant B3 - Constant B3 is related to the compacting characteristics of the sediment components.

STEP 1: Convert Input(s) to Base Unit

Percentage of Sand: 20 --> No Conversion Required
Constant B1: 0.2 --> No Conversion Required
Percentage of Silt: 35 --> No Conversion Required
Constant B2: 0.1 --> No Conversion Required
Percentage of Clay: 31.3 --> No Conversion Required
Constant B3: 40 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_w = ((p_sa*B₁)+(p_si*B₂)+(p_cl*B₃))/100 --> ((20*0.2)+(35*0.1)+(31.3*40))/100

Evaluating ... ...

B_w = 12.595

STEP 3: Convert Result to Output's Unit

12.595 --> No Conversion Required

FINAL ANSWER

12.595 <-- Weighted Value of B

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Erosion and Reservoir Sedimentation » Erosion and Sediment Deposits » Density of Sediment Deposits » Weighted Value given Average Unit Weight of Deposit

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< 8 Density of Sediment Deposits Calculators

Percentage of Sand given Unit Weight of Deposit

Go Percentage of Sand = ((Average Unit Weight of Deposit)-((Percentage of Silt/100)*(Unit Weight of Silt+Constant B2*log10(Age of Sediment)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant B3*log10(Age of Sediment))))/((Unit Weight of Sand+Constant B1*log10(Age of Sediment))/100)

Percentage of Clay given Unit Weight of Deposit

Go Percentage of Clay = ((Average Unit Weight of Deposit)-((Percentage of Sand/100)*(Unit Weight of Sand+Constant B1*log10(Age of Sediment)))-((Percentage of Silt/100)*(Unit Weight of Silt+Constant B2*log10(Age of Sediment))))/((Unit Weight of Clay+Constant B3*log10(Age of Sediment))/100)

Percentage of Silt for Unit Weight of Deposits

Go Percentage of Silt = ((Average Unit Weight of Deposit)-((Percentage of Sand/100)*(Unit Weight of Sand+Constant B1*log10(Age of Sediment)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant B3*log10(Age of Sediment))))/((Unit Weight of Silt+Constant B2*log10(Age of Sediment))/100)

Rough Estimation for Unit Weight of Deposit by Koelzer and Lara Formula

Go Unit Weight of Deposit = ((Percentage of Sand/100)*(Unit Weight of Sand+Constant B1*log10(Age of Sediment)))+((Percentage of Silt/100)*(Unit Weight of Silt+Constant B2*log10(Age of Sediment)))+((Percentage of Clay/100)*(Unit Weight of Clay+Constant B3*log10(Age of Sediment)))

Equation for Weighted Value of Sand, Silt and Clay

Go Weighted Value of B = (Average Unit Weight of Deposit-Initial Unit Weight)/(0.4343*(((Age of Sediment/(Age of Sediment-1))*ln(Age of Sediment))-1))

Average Unit Weight of Sediment Deposit during Period of T Years

Go Average Unit Weight of Deposit = Initial Unit Weight+(0.4343*Weighted Value of B)*(((Age of Sediment/(Age of Sediment-1))*ln(Age of Sediment))-1)

Initial Unit Weight given Average Unit Weight of Deposit

Go Initial Unit Weight = Average Unit Weight of Deposit-(0.4343*Weighted Value of B)*(((Age of Sediment/(Age of Sediment-1))*ln(Age of Sediment))-1)

Weighted Value given Average Unit Weight of Deposit

Go Weighted Value of B = ((Percentage of Sand*Constant B1)+(Percentage of Silt*Constant B2)+(Percentage of Clay*Constant B3))/100

Weighted Value given Average Unit Weight of Deposit Formula

Weighted Value of B = ((Percentage of Sand*Constant B1)+(Percentage of Silt*Constant B2)+(Percentage of Clay*Constant B3))/100
B_w = ((p_sa*B₁)+(p_si*B₂)+(p_cl*B₃))/100

What is Reservoir sedimentation?

Reservoir sedimentation is the gradual accumulation of the incoming sediment load from a river. This accumulation is a serious problem in many parts of the world and has severe consequences for water management, flood control, and production of energy.

How to Calculate Weighted Value given Average Unit Weight of Deposit?

Weighted Value given Average Unit Weight of Deposit calculator uses Weighted Value of B = ((Percentage of Sand*Constant B1)+(Percentage of Silt*Constant B2)+(Percentage of Clay*Constant B3))/100 to calculate the Weighted Value of B, The Weighted Value given Average Unit Weight of Deposit formula is defined as the weights of sand, silt and clay present in percentage form along with the compacting characteristics of the sediment components of the sample. Weighted Value of B is denoted by B_w symbol.

How to calculate Weighted Value given Average Unit Weight of Deposit using this online calculator? To use this online calculator for Weighted Value given Average Unit Weight of Deposit, enter Percentage of Sand (p_sa), Constant B1 (B₁), Percentage of Silt (p_si), Constant B2 (B₂), Percentage of Clay (p_cl) & Constant B3 (B₃) and hit the calculate button. Here is how the Weighted Value given Average Unit Weight of Deposit calculation can be explained with given input values -> 12.595 = ((20*0.2)+(35*0.1)+(31.3*40))/100.

FAQ

What is Weighted Value given Average Unit Weight of Deposit?

The Weighted Value given Average Unit Weight of Deposit formula is defined as the weights of sand, silt and clay present in percentage form along with the compacting characteristics of the sediment components of the sample and is represented as B_w = ((p_sa*B₁)+(p_si*B₂)+(p_cl*B₃))/100 or Weighted Value of B = ((Percentage of Sand*Constant B1)+(Percentage of Silt*Constant B2)+(Percentage of Clay*Constant B3))/100. Percentage of Sand on weight basis present in the sediment deposit, Constant B1 is related to the compacting characteristics of the sediment components, Percentage of Silt on weight basis present in the sediment deposit, Constant B2 is related to the compacting characteristics of the sediment components, Percentage of Clay on weight basis present in the sediment deposit & Constant B3 is related to the compacting characteristics of the sediment components.

How to calculate Weighted Value given Average Unit Weight of Deposit?

The Weighted Value given Average Unit Weight of Deposit formula is defined as the weights of sand, silt and clay present in percentage form along with the compacting characteristics of the sediment components of the sample is calculated using Weighted Value of B = ((Percentage of Sand*Constant B1)+(Percentage of Silt*Constant B2)+(Percentage of Clay*Constant B3))/100. To calculate Weighted Value given Average Unit Weight of Deposit, you need Percentage of Sand (p_sa), Constant B1 (B₁), Percentage of Silt (p_si), Constant B2 (B₂), Percentage of Clay (p_cl) & Constant B3 (B₃). With our tool, you need to enter the respective value for Percentage of Sand, Constant B1, Percentage of Silt, Constant B2, Percentage of Clay & Constant B3 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Weighted Value of B?

In this formula, Weighted Value of B uses Percentage of Sand, Constant B1, Percentage of Silt, Constant B2, Percentage of Clay & Constant B3. We can use 1 other way(s) to calculate the same, which is/are as follows -

Weighted Value of B = (Average Unit Weight of Deposit-Initial Unit Weight)/(0.4343*(((Age of Sediment/(Age of Sediment-1))*ln(Age of Sediment))-1))

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