FormulaDen logo
FormulaDen.com
Search
Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health
Fx Copy
LaTeX Copy
Inclined Length of prism is along the slope. Check FAQs
b=Vlz⋅cos((I))
b - Inclined Length?Vl - Volume per unit length of prism?z - Depth of Prism?I - Angle of Inclination?

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

With values
With units
Only example

Here is how the Inclined Length along Slope given Volume Per Unit Length of Prism equation looks like with Values.

Here is how the Inclined Length along Slope given Volume Per Unit Length of Prism equation looks like with Units.

Here is how the Inclined Length along Slope given Volume Per Unit Length of Prism equation looks like.

9.598Edit=5Edit3Edit⋅cos((80Edit))
Solution
Copy
Reset
Share
You are here -
HomeIcon Home » Category Engineering » Category Civil » Category Geotechnical Engineering » fx Inclined Length along Slope given Volume Per Unit Length of Prism

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

Follow our step by step solution on how to calculate Inclined Length along Slope given Volume Per Unit Length of Prism?

FIRST Step Consider the formula
b=Vlz⋅cos((I))
Next Step Substitute values of Variables
∴ b=5m²3m⋅cos((80°))
Next Step Convert Units
∴ b=5m²3m⋅cos((1.3963rad))
Next Step Prepare to Evaluate
∴ b=53⋅cos((1.3963))
Next Step Evaluate
∴b=9.59795080522504m
LAST Step Rounding Answer
∴b=9.598m

Inclined Length along Slope given Volume Per Unit Length of 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 LengthOpen Variable
Volume per unit length of prism
Volume per unit length of prism means ratio of volume of prism to length of prism.
Symbol: Vl
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Volume per unit length of prismOpen Variable
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 PrismOpen Variable
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 InclinationOpen Variable
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 Weight of Soil Prism
b=Wγ⋅z⋅cos((I))
​Go Inclined Length along Slope given Horizontal Length of Prism
b=Lcos((I))
​Go Inclined Length along Slope given Vertical Stress on Surface of Prism
b=Wσz⋅5

Other formulas in Stability Analysis of Infinite Slopes in Prism category

​Go Weight of Soil Prism in Stability Analysis
W=(γ⋅z⋅b⋅cos((I)))
​Go Unit Weight of Soil given Weight of Soil Prism
γ=Wz⋅b⋅cos((I))
​Go Depth of Prism given Weight of Soil Prism
z=Wγ⋅b⋅cos((I))
​Go Angle of Inclination given Weight of Soil Prism
I=acos(Wγ⋅z⋅b)

How to Evaluate Inclined Length along Slope given Volume Per Unit Length of Prism?

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

How to evaluate Inclined Length along Slope given Volume Per Unit Length of Prism using this online evaluator? To use this online evaluator for Inclined Length along Slope given Volume Per Unit Length of Prism, enter Volume per unit length of prism (Vl), Depth of Prism (z) & Angle of Inclination (I) and hit the calculate button.

FAQs on Inclined Length along Slope given Volume Per Unit Length of Prism

What is the formula to find Inclined Length along Slope given Volume Per Unit Length of Prism?
The formula of Inclined Length along Slope given Volume Per Unit Length of Prism is expressed as Inclined Length = Volume per unit length of prism/(Depth of Prism*cos((Angle of Inclination))). Here is an example- 9.597951 = 5/(3*cos((1.3962634015952))).
How to calculate Inclined Length along Slope given Volume Per Unit Length of Prism?
With Volume per unit length of prism (Vl), Depth of Prism (z) & Angle of Inclination (I) we can find Inclined Length along Slope given Volume Per Unit Length of Prism using the formula - Inclined Length = Volume per unit length of prism/(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=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=Weight of Prism/Vertical Stress at a Point*5OpenImg
Can the Inclined Length along Slope given Volume Per Unit Length of Prism be negative?
No, the Inclined Length along Slope given Volume Per Unit Length of Prism, measured in Length cannot be negative.
Which unit is used to measure Inclined Length along Slope given Volume Per Unit Length of Prism?
Inclined Length along Slope given Volume Per Unit Length 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 Volume Per Unit Length of Prism can be measured.
About | Contact | Disclaimer | Terms | Privacy Policy
© 2024. Developed & Maintained by softUsvista Inc.
Copied!