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Inclined Length of prism is along the slope. Check FAQs
b=Wσz5
b - Inclined Length?W - Weight of Prism?σz - Vertical Stress at a Point?

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

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With units
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Here is how the Inclined Length along Slope given Vertical Stress on Surface of Prism equation looks like with Values.

Here is how the Inclined Length along Slope given Vertical Stress on Surface of Prism equation looks like with Units.

Here is how the Inclined Length along Slope given Vertical Stress on Surface of Prism equation looks like.

50Edit=100Edit10Edit5
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Inclined Length along Slope given Vertical Stress on Surface of Prism Solution

Follow our step by step solution on how to calculate Inclined Length along Slope given Vertical Stress on Surface of Prism?

FIRST Step Consider the formula
b=Wσz5
Next Step Substitute values of Variables
b=100kg10MPa5
Next Step Prepare to Evaluate
b=100105
LAST Step Evaluate
b=50m

Inclined Length along Slope given Vertical Stress on Surface of Prism Formula Elements

Variables
Inclined Length
Inclined Length of prism is along the slope.
Symbol: b
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Weight of Prism
Weight of Prism means the weight of soil prism.
Symbol: W
Measurement: WeightUnit: kg
Note: Value should be greater than 0.
Vertical Stress at a Point
Vertical Stress at a Point is the stress acting perpendicular to the surface.
Symbol: σz
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.

Other Formulas to find Inclined Length

​Go Inclined Length along Slope given Weight of Soil Prism
b=Wγzcos((I))
​Go Inclined Length along Slope given Horizontal Length of Prism
b=Lcos((I))
​Go Inclined Length along Slope given Volume Per Unit Length of Prism
b=Vlzcos((I))

Other formulas in Stability Analysis of Infinite Slopes in Prism category

​Go Weight of Soil Prism in Stability Analysis
W=(γzbcos((I)))
​Go Unit Weight of Soil given Weight of Soil Prism
γ=Wzbcos((I))
​Go Depth of Prism given Weight of Soil Prism
z=Wγbcos((I))
​Go Angle of Inclination given Weight of Soil Prism
I=acos(Wγzb)

How to Evaluate Inclined Length along Slope given Vertical Stress on Surface of Prism?

Inclined Length along Slope given Vertical Stress on Surface of Prism evaluator uses Inclined Length = Weight of Prism/Vertical Stress at a Point*5 to evaluate the Inclined Length, The Inclined Length along Slope given Vertical Stress on Surface of Prism is defined as the distance on the surface of a prism, influenced by vertical stress. Inclined Length is denoted by b symbol.

How to evaluate Inclined Length along Slope given Vertical Stress on Surface of Prism using this online evaluator? To use this online evaluator for Inclined Length along Slope given Vertical Stress on Surface of Prism, enter Weight of Prism (W) & Vertical Stress at a Point z) and hit the calculate button.

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

What is the formula to find Inclined Length along Slope given Vertical Stress on Surface of Prism?
The formula of Inclined Length along Slope given Vertical Stress on Surface of Prism is expressed as Inclined Length = Weight of Prism/Vertical Stress at a Point*5. Here is an example- 5 = 100/10000000*5.
How to calculate Inclined Length along Slope given Vertical Stress on Surface of Prism?
With Weight of Prism (W) & Vertical Stress at a Point z) we can find Inclined Length along Slope given Vertical Stress on Surface of Prism using the formula - Inclined Length = Weight of Prism/Vertical Stress at a Point*5.
What are the other ways to Calculate Inclined Length?
Here are the different ways to Calculate Inclined Length-
  • Inclined Length=Weight of Prism/(Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination)))OpenImg
  • Inclined Length=Horizontal Length of Prism/cos((Angle of Inclination))OpenImg
  • Inclined Length=Volume per unit length of prism/(Depth of Prism*cos((Angle of Inclination)))OpenImg
Can the Inclined Length along Slope given Vertical Stress on Surface of Prism be negative?
No, the Inclined Length along Slope given Vertical Stress on Surface of Prism, measured in Length cannot be negative.
Which unit is used to measure Inclined Length along Slope given Vertical Stress on Surface of Prism?
Inclined Length along Slope given Vertical Stress on Surface of 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 Vertical Stress on Surface of Prism can be measured.
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