Angle of Inclination given Volume per Unit Length of Prism Calculator

✖Volume per unit length of prism means ratio of volume of prism to length of prism.ⓘ Volume per unit length of prism [V_l]			+10% -10%
✖Depth of Prism is the length of prism along z direction.ⓘ Depth of Prism [z]			+10% -10%
✖Inclined Length of prism is along the slope.ⓘ Inclined Length [b]			+10% -10%

✖Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination given Volume per Unit Length of Prism [I]

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Formula

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Angle of Inclination given Volume per Unit Length of Prism

Formula

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

Example

80.40593 ° = a \cos (\frac{5 m²}{3 m \cdot 10 m})

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Angle of Inclination given Volume per Unit Length of Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Inclination = acos(Volume per unit length of prism/(Depth of Prism*Inclined Length))
I = acos(V_l/(z*b))
This formula uses 2 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)

Variables Used

Angle of Inclination - (Measured in Radian) - Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.
Volume per unit length of prism - (Measured in Square Meter) - Volume per unit length of prism means ratio of volume of prism to length of prism.
Depth of Prism - (Measured in Meter) - Depth of Prism is the length of prism along z direction.
Inclined Length - (Measured in Meter) - Inclined Length of prism is along the slope.

STEP 1: Convert Input(s) to Base Unit

Volume per unit length of prism: 5 Square Meter --> 5 Square Meter No Conversion Required
Depth of Prism: 3 Meter --> 3 Meter No Conversion Required
Inclined Length: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = acos(V_l/(z*b)) --> acos(5/(3*10))

Evaluating ... ...

I = 1.40334824757521

STEP 3: Convert Result to Output's Unit

1.40334824757521 Radian -->80.4059317731547 Degree (Check conversion here)

FINAL ANSWER

80.4059317731547 ≈ 80.40593 Degree <-- Angle of Inclination

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Stability Analysis of Infinite Slopes in Prism Calculators

Inclined Length along Slope given Weight of Soil Prism

Go Inclined Length = Weight of Prism/(Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination)))

Unit Weight of Soil given Weight of Soil Prism

Go Unit Weight of Soil = Weight of Prism/(Depth of Prism*Inclined Length*cos((Angle of Inclination)))

Weight of Soil Prism in Stability Analysis

Go Weight of Prism = (Unit Weight of Soil*Depth of Prism*Inclined Length*cos((Angle of Inclination)))

Depth of Prism given Weight of Soil Prism

Go Depth of Prism = Weight of Prism/(Unit Weight of Soil*Inclined Length*cos((Angle of Inclination)))

Angle of Inclination given Volume per Unit Length of Prism Formula

Angle of Inclination = acos(Volume per unit length of prism/(Depth of Prism*Inclined Length))
I = acos(V_l/(z*b))

What is Angle of Inclination?

The angle inclination of a line is the angle formed by the intersection of the line and the x-axis. Using a horizontal "run" of 1 and m for slope, the angle of inclination, theta=tan-1(m), or m=tan(theta).

How to Calculate Angle of Inclination given Volume per Unit Length of Prism?

Angle of Inclination given Volume per Unit Length of Prism calculator uses Angle of Inclination = acos(Volume per unit length of prism/(Depth of Prism*Inclined Length)) to calculate the Angle of Inclination, The Angle of Inclination given Volume per Unit Length of Prism is defined as the value of angle of inclination with respect to horizontal axis of Mohr-Coulomb shear resistance line. Angle of Inclination is denoted by I symbol.

How to calculate Angle of Inclination given Volume per Unit Length of Prism using this online calculator? To use this online calculator for Angle of Inclination given Volume per Unit Length of Prism, enter Volume per unit length of prism (V_l), Depth of Prism (z) & Inclined Length (b) and hit the calculate button. Here is how the Angle of Inclination given Volume per Unit Length of Prism calculation can be explained with given input values -> 4606.921 = acos(5/(3*10)).

FAQ

What is Angle of Inclination given Volume per Unit Length of Prism?

The Angle of Inclination given Volume per Unit Length of Prism is defined as the value of angle of inclination with respect to horizontal axis of Mohr-Coulomb shear resistance line and is represented as I = acos(V_l/(z*b)) or Angle of Inclination = acos(Volume per unit length of prism/(Depth of Prism*Inclined Length)). Volume per unit length of prism means ratio of volume of prism to length of prism, Depth of Prism is the length of prism along z direction & Inclined Length of prism is along the slope.

How to calculate Angle of Inclination given Volume per Unit Length of Prism?

The Angle of Inclination given Volume per Unit Length of Prism is defined as the value of angle of inclination with respect to horizontal axis of Mohr-Coulomb shear resistance line is calculated using Angle of Inclination = acos(Volume per unit length of prism/(Depth of Prism*Inclined Length)). To calculate Angle of Inclination given Volume per Unit Length of Prism, you need Volume per unit length of prism (V_l), Depth of Prism (z) & Inclined Length (b). With our tool, you need to enter the respective value for Volume per unit length of prism, Depth of Prism & Inclined Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Angle of Inclination?

In this formula, Angle of Inclination uses Volume per unit length of prism, Depth of Prism & Inclined Length. We can use 3 other way(s) to calculate the same, which is/are as follows -

Angle of Inclination = acos(Weight of Prism/(Unit Weight of Soil*Depth of Prism*Inclined Length))
Angle of Inclination = acos(Horizontal Length of Prism/Inclined Length)
Angle of Inclination = acos(Vertical Stress at a Point in Pascal/(Depth of Prism*Unit Weight of Soil))

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