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Weighted Value given Average Unit Weight of Deposit Formula

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GoEquation for Weighted Value of Sand, Silt and Clay Formula

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Weighted Value of B in decimal, is the weightages of sand, silt and clay samples present in fraction form. Check FAQs

B w = \frac{(p sa \cdot B 1) + (p si \cdot B 2) + (p cl \cdot B 3)}{100}

B_w - Weighted Value of B?p_sa - Percentage of Sand?B₁ - Constant B1?p_si - Percentage of Silt?B₂ - Constant B2?p_cl - Percentage of Clay?B₃ - Constant B3?

Weighted Value given Average Unit Weight of Deposit Example

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Here is how the Weighted Value given Average Unit Weight of Deposit equation looks like with Values.

Here is how the Weighted Value given Average Unit Weight of Deposit equation looks like with Units.

Here is how the Weighted Value given Average Unit Weight of Deposit equation looks like.

12.595 = \frac{(20 \cdot 0.2) + (35 \cdot 0.1) + (31.3 \cdot 40)}{100}

12.595 = \frac{(20 \cdot 0.2) + (35 \cdot 0.1) + (31.3 \cdot 40)}{100}

12.595 = \frac{(20 \cdot 0.2) + (35 \cdot 0.1) + (31.3 \cdot 40)}{100}

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Weighted Value given Average Unit Weight of Deposit Solution

Follow our step by step solution on how to calculate Weighted Value given Average Unit Weight of Deposit?

FIRST Step Consider the formula

B w = \frac{(p sa \cdot B 1) + (p si \cdot B 2) + (p cl \cdot B 3)}{100}

Next Step Substitute values of Variables

∴

B w = \frac{(20 \cdot 0.2) + (35 \cdot 0.1) + (31.3 \cdot 40)}{100}

Next Step Prepare to Evaluate

∴

B w = \frac{(20 \cdot 0.2) + (35 \cdot 0.1) + (31.3 \cdot 40)}{100}

LAST Step Evaluate

∴

B w = 12.595

Weighted Value given Average Unit Weight of Deposit Formula Elements

Variables

Weighted Value of B

Weighted Value of B in decimal, is the weightages of sand, silt and clay samples present in fraction form.

Symbol: B_w

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Weighted Value of B

Open Variable

Percentage of Sand

Percentage of Sand on weight basis present in the sediment deposit.

Symbol: p_sa

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Percentage of Sand

Open Variable

Constant B1

Constant B1 is related to the compacting characteristics of the sediment components.

Symbol: B₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant B1

Open Variable

Percentage of Silt

Percentage of Silt on weight basis present in the sediment deposit.

Symbol: p_si

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Percentage of Silt

Open Variable

Constant B2

Constant B2 is related to the compacting characteristics of the sediment components.

Symbol: B₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant B2

Open Variable

Percentage of Clay

Percentage of Clay on weight basis present in the sediment deposit.

Symbol: p_cl

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Percentage of Clay

Open Variable

Constant B3

Constant B3 is related to the compacting characteristics of the sediment components.

Symbol: B₃

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant B3

Open Variable

Other Formulas to find Weighted Value of B

Go Equation for Weighted Value of Sand, Silt and Clay

B w = \frac{W av - W T1}{0.4343 \cdot (((\frac{T}{T - 1}) \cdot \ln (T)) - 1)}

Other formulas in Density of Sediment Deposits category

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

W T = ((\frac{p sa}{100}) \cdot (W 1 + B 1 \cdot \log 10 (T))) + ((\frac{p si}{100}) \cdot (W 2 + B 2 \cdot \log 10 (T))) + ((\frac{p cl}{100}) \cdot (W 3 + B 3 \cdot \log 10 (T)))

Go Percentage of Sand given Unit Weight of Deposit

p sa = \frac{(W av) - ((\frac{p si}{100}) \cdot (W 2 + B 2 \cdot \log 10 (T))) - ((\frac{p cl}{100}) \cdot (W 3 + B 3 \cdot \log 10 (T)))}{\frac{W 1 + B 1 \cdot \log 10 (T)}{100}}

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

Weighted Value given Average Unit Weight of Deposit evaluator uses Weighted Value of B = ((Percentage of Sand*Constant B1)+(Percentage of Silt*Constant B2)+(Percentage of Clay*Constant B3))/100 to evaluate 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 evaluate Weighted Value given Average Unit Weight of Deposit using this online evaluator? To use this online evaluator 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.

FAQs on Weighted Value given Average Unit Weight of Deposit

What is the formula to find Weighted Value given Average Unit Weight of Deposit?

The formula of Weighted Value given Average Unit Weight of Deposit is expressed as Weighted Value of B = ((Percentage of Sand*Constant B1)+(Percentage of Silt*Constant B2)+(Percentage of Clay*Constant B3))/100. Here is an example- 12.595 = ((20*0.2)+(35*0.1)+(31.3*40))/100.

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

With Percentage of Sand (p_sa), Constant B1 (B₁), Percentage of Silt (p_si), Constant B2 (B₂), Percentage of Clay (p_cl) & Constant B3 (B₃) we can find Weighted Value given Average Unit Weight of Deposit using the formula - Weighted Value of B = ((Percentage of Sand*Constant B1)+(Percentage of Silt*Constant B2)+(Percentage of Clay*Constant B3))/100.

What are the other ways to Calculate Weighted Value of B?

Here are the different ways to Calculate Weighted Value of B-

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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