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Inclined Length along Slope given Weight of Soil Prism Formula

GoInclined Length along Slope given Horizontal Length of Prism Formula

GoInclined Length along Slope given Volume Per Unit Length of Prism Formula

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Inclined Length of prism is along the slope. Check FAQs

b = \frac{W}{γ \cdot z \cdot \cos ((I))}

b - Inclined Length?W - Weight of Prism?γ - Unit Weight of Soil?z - Depth of Prism?I - Angle of Inclination?

Inclined Length along Slope given Weight of Soil Prism Example

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Here is how the Inclined Length along Slope given Weight of Soil Prism equation looks like with Values.

Here is how the Inclined Length along Slope given Weight of Soil Prism equation looks like with Units.

Here is how the Inclined Length along Slope given Weight of Soil Prism equation looks like.

10.6644 = \frac{100}{18 \cdot 3 \cdot \cos ((80))}

10.6644m = \frac{100kg}{18kN/m³ \cdot 3m \cdot \cos ((80°))}

10.6644 = \frac{100}{18 \cdot 3 \cdot \cos ((80))}

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Inclined Length along Slope given Weight of Soil Prism Solution

Follow our step by step solution on how to calculate Inclined Length along Slope given Weight of Soil Prism?

FIRST Step Consider the formula

b = \frac{W}{γ \cdot z \cdot \cos ((I))}

Next Step Substitute values of Variables

∴

b = \frac{100kg}{18kN/m³ \cdot 3m \cdot \cos ((80°))}

Next Step Convert Units

∴

b = \frac{100kg}{18kN/m³ \cdot 3m \cdot \cos ((1.3963rad))}

Next Step Prepare to Evaluate

∴

b = \frac{100}{18 \cdot 3 \cdot \cos ((1.3963))}

Next Step Evaluate

∴

b = 10.6643897835834m

LAST Step Rounding Answer

∴

b = 10.6644m

Inclined Length along Slope given Weight of Soil Prism Formula Elements

Variables

Functions

Inclined Length

Inclined Length of prism is along the slope.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inclined Length

Weight of Prism

Weight of Prism means the weight of soil prism.

Symbol: W

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Weight of Prism

Unit Weight of Soil

Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.

Symbol: γ

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Soil

Depth of Prism

Depth of Prism is the length of prism along z direction.

Symbol: z

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Prism

Angle of Inclination

Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.

Symbol: I

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Inclination

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Inclined Length

Go Inclined Length along Slope given Horizontal Length of Prism

b = \frac{L}{\cos ((I))}

Go Inclined Length along Slope given Volume Per Unit Length of Prism

b = \frac{V l}{z \cdot \cos ((I))}

Go Inclined Length along Slope given Vertical Stress on Surface of Prism

b = \frac{W}{σ z} \cdot 5

Other formulas in Stability Analysis of Infinite Slopes in Prism category

Go Weight of Soil Prism in Stability Analysis

W = (γ \cdot z \cdot b \cdot \cos ((I)))

Go Unit Weight of Soil given Weight of Soil Prism

γ = \frac{W}{z \cdot b \cdot \cos ((I))}

Go Depth of Prism given Weight of Soil Prism

z = \frac{W}{γ \cdot b \cdot \cos ((I))}

Go Angle of Inclination given Weight of Soil Prism

I = a \cos (\frac{W}{γ \cdot z \cdot b})

How to Evaluate Inclined Length along Slope given Weight of Soil Prism?

Inclined Length along Slope given Weight of Soil Prism evaluator uses Inclined Length = Weight of Prism/(Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination))) to evaluate the Inclined Length, Inclined Length along Slope given Weight of Soil Prism is defined as value of inclined length when we have prior information of other parameters used. Inclined Length is denoted by b symbol.

How to evaluate Inclined Length along Slope given Weight of Soil Prism using this online evaluator? To use this online evaluator for Inclined Length along Slope given Weight of Soil Prism, enter Weight of Prism (W), Unit Weight of Soil (γ), Depth of Prism (z) & Angle of Inclination (I) and hit the calculate button.

FAQs on Inclined Length along Slope given Weight of Soil Prism

What is the formula to find Inclined Length along Slope given Weight of Soil Prism?

The formula of Inclined Length along Slope given Weight of Soil Prism is expressed as Inclined Length = Weight of Prism/(Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination))). Here is an example- 1.066439 = 100/(18000*3*cos((1.3962634015952))).

How to calculate Inclined Length along Slope given Weight of Soil Prism?

With Weight of Prism (W), Unit Weight of Soil (γ), Depth of Prism (z) & Angle of Inclination (I) we can find Inclined Length along Slope given Weight of Soil Prism using the formula - Inclined Length = Weight of Prism/(Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination))). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Inclined Length?

Here are the different ways to Calculate Inclined Length-

Inclined Length=Horizontal Length of Prism/cos((Angle of Inclination))
Inclined Length=Volume per unit length of prism/(Depth of Prism*cos((Angle of Inclination)))
Inclined Length=Weight of Prism/Vertical Stress at a Point*5

Can the Inclined Length along Slope given Weight of Soil Prism be negative?

No, the Inclined Length along Slope given Weight of Soil Prism, measured in Length cannot be negative.

Which unit is used to measure Inclined Length along Slope given Weight of Soil Prism?

Inclined Length along Slope given Weight of Soil Prism is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inclined Length along Slope given Weight of Soil Prism can be measured.

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Inclined Length along Slope given Weight of Soil Prism Formula

​GoInclined Length along Slope given Horizontal Length of Prism Formula

​GoInclined Length along Slope given Volume Per Unit Length of Prism Formula

Inclined Length along Slope given Weight of Soil Prism Example

Inclined Length along Slope given Weight of Soil Prism Solution

Inclined Length along Slope given Weight of Soil Prism Formula Elements

Other Formulas to find Inclined Length

Other formulas in Stability Analysis of Infinite Slopes in Prism category

How to Evaluate Inclined Length along Slope given Weight of Soil Prism?

FAQs on Inclined Length along Slope given Weight of Soil Prism

Variable Name

GoInclined Length along Slope given Horizontal Length of Prism Formula

GoInclined Length along Slope given Volume Per Unit Length of Prism Formula