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Equation for Weighted Value of Sand, Silt and Clay Formula

GoWeighted Value given Average Unit Weight of Deposit 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{W av - W T1}{0.4343 \cdot (((\frac{T}{T - 1}) \cdot \ln (T)) - 1)}

B_w - Weighted Value of B?W_av - Average Unit Weight of Deposit?W_T1 - Initial Unit Weight?T - Age of Sediment?

Equation for Weighted Value of Sand, Silt and Clay Example

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Here is how the Equation for Weighted Value of Sand, Silt and Clay equation looks like with Values.

Here is how the Equation for Weighted Value of Sand, Silt and Clay equation looks like with Units.

Here is how the Equation for Weighted Value of Sand, Silt and Clay equation looks like.

7.0898 = \frac{15.06 - 15}{0.4343 \cdot (((\frac{25}{25 - 1}) \cdot \ln (25)) - 1)}

7.0898 = \frac{15.06kN/m³ - 15kN/m³}{0.4343 \cdot (((\frac{25Year}{25Year - 1}) \cdot \ln (25Year)) - 1)}

7.0898 = \frac{15.06 - 15}{0.4343 \cdot (((\frac{25}{25 - 1}) \cdot \ln (25)) - 1)}

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Equation for Weighted Value of Sand, Silt and Clay Solution

Follow our step by step solution on how to calculate Equation for Weighted Value of Sand, Silt and Clay?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B w = \frac{15.06kN/m³ - 15kN/m³}{0.4343 \cdot (((\frac{25Year}{25Year - 1}) \cdot \ln (25Year)) - 1)}

Next Step Convert Units

∴

B w = \frac{15060N/m³ - 15000N/m³}{0.4343 \cdot (((\frac{7.9E+8s}{7.9E+8s - 1}) \cdot \ln (7.9E+8s)) - 1)}

Next Step Prepare to Evaluate

∴

B w = \frac{15060 - 15000}{0.4343 \cdot (((\frac{7.9E+8}{7.9E+8 - 1}) \cdot \ln (7.9E+8)) - 1)}

Next Step Evaluate

∴

B w = 7.08981175041192

LAST Step Rounding Answer

∴

B w = 7.0898

Equation for Weighted Value of Sand, Silt and Clay Formula Elements

Variables

Functions

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

Average Unit Weight of Deposit

Average Unit Weight of Deposit refers to the weight per unit volume of sediment material deposited in a reservoir during a specific period.

Symbol: W_av

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Average Unit Weight of Deposit

Initial Unit Weight

Initial Unit Weight represents the weight (mass multiplied by gravity) per unit volume of sediment deposition at the initial phase.

Symbol: W_T1

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Initial Unit Weight

Age of Sediment

Age of Sediment is the time elapsed since the material was deposited in years.

Symbol: T

Measurement: TimeUnit: Year

Note: Value should be greater than 0.

Formulas to find Age of Sediment

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Weighted Value of B

Go Weighted Value given Average Unit Weight of Deposit

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

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}}

Go Percentage of Silt for Unit Weight of Deposits

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

Go Percentage of Clay given Unit Weight of Deposit

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

How to Evaluate Equation for Weighted Value of Sand, Silt and Clay?

Equation for Weighted Value of Sand, Silt and Clay evaluator uses 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)) to evaluate the Weighted Value of B, The Equation for Weighted Value of Sand, Silt and Clay formula is defined as the weights of sand, silt and clay in the sample in fractions. Weighted Value of B is denoted by B_w symbol.

How to evaluate Equation for Weighted Value of Sand, Silt and Clay using this online evaluator? To use this online evaluator for Equation for Weighted Value of Sand, Silt and Clay, enter Average Unit Weight of Deposit (W_av), Initial Unit Weight (W_T1) & Age of Sediment (T) and hit the calculate button.

FAQs on Equation for Weighted Value of Sand, Silt and Clay

What is the formula to find Equation for Weighted Value of Sand, Silt and Clay?

The formula of Equation for Weighted Value of Sand, Silt and Clay is expressed as 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)). Here is an example- 5.908176 = (15060-15000)/(0.4343*(((788923800/(788923800-1))*ln(788923800))-1)).

How to calculate Equation for Weighted Value of Sand, Silt and Clay?

With Average Unit Weight of Deposit (W_av), Initial Unit Weight (W_T1) & Age of Sediment (T) we can find Equation for Weighted Value of Sand, Silt and Clay using the formula - 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)). This formula also uses Natural Logarithm (ln) function(s).

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=((Percentage of Sand*Constant relating to Compacting Characteristics 1)+(Percentage of Silt*Constant B2)+(Percentage of Clay*Constant B3))/100

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Equation for Weighted Value of Sand, Silt and Clay Formula

​GoWeighted Value given Average Unit Weight of Deposit Formula

Equation for Weighted Value of Sand, Silt and Clay Example

Equation for Weighted Value of Sand, Silt and Clay Solution

Equation for Weighted Value of Sand, Silt and Clay Formula Elements

Other Formulas to find Weighted Value of B

Other formulas in Density of Sediment Deposits category

How to Evaluate Equation for Weighted Value of Sand, Silt and Clay?

FAQs on Equation for Weighted Value of Sand, Silt and Clay

Variable Name

GoWeighted Value given Average Unit Weight of Deposit Formula