Weight of Slice given Total Normal Force Acting on Slice Calculator

✖Total Normal Force in Soil Mechanics is the force that surfaces exert to prevent solid objects from passing through each other.ⓘ Total Normal Force in Soil Mechanics [F_n]			+10% -10%
✖Angle of Base of the slice with horizontal.ⓘ Angle of Base [θ]			+10% -10%
✖Shear Force on Slice in Soil Mechanics acting along the base of slice.ⓘ Shear Force on Slice in Soil Mechanics [S]			+10% -10%
✖Vertical Shear Force on the section N.ⓘ Vertical Shear Force [X_n]			+10% -10%
✖Vertical Shear Force at other Section means shear force at section N+1.ⓘ Vertical Shear Force at other Section [X_(n+1)]			+10% -10%

✖Weight of Slice taken in Bishop's method.ⓘ Weight of Slice given Total Normal Force Acting on Slice [W]

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Weight of Slice given Total Normal Force Acting on Slice Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weight of Slice = (Total Normal Force in Soil Mechanics*cos((Angle of Base*pi)/180))+(Shear Force on Slice in Soil Mechanics*sin((Angle of Base*pi)/180))-Vertical Shear Force+Vertical Shear Force at other Section
W = (F_n*cos((θ*pi)/180))+(S*sin((θ*pi)/180))-X_n+X_(n+1)
This formula uses 1 Constants, 2 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Weight of Slice - (Measured in Newton) - Weight of Slice taken in Bishop's method.
Total Normal Force in Soil Mechanics - (Measured in Newton) - Total Normal Force in Soil Mechanics is the force that surfaces exert to prevent solid objects from passing through each other.
Angle of Base - (Measured in Radian) - Angle of Base of the slice with horizontal.
Shear Force on Slice in Soil Mechanics - (Measured in Newton) - Shear Force on Slice in Soil Mechanics acting along the base of slice.
Vertical Shear Force - (Measured in Newton) - Vertical Shear Force on the section N.
Vertical Shear Force at other Section - (Measured in Newton) - Vertical Shear Force at other Section means shear force at section N+1.

STEP 1: Convert Input(s) to Base Unit

Total Normal Force in Soil Mechanics: 12.09 Newton --> 12.09 Newton No Conversion Required
Angle of Base: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Shear Force on Slice in Soil Mechanics: 11.07 Newton --> 11.07 Newton No Conversion Required
Vertical Shear Force: 2.89 Newton --> 2.89 Newton No Conversion Required
Vertical Shear Force at other Section: 9.87 Newton --> 9.87 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = (F_n*cos((θ*pi)/180))+(S*sin((θ*pi)/180))-X_n+X_(n+1) --> (12.09*cos((0.785398163397301*pi)/180))+(11.07*sin((0.785398163397301*pi)/180))-2.89+9.87

Evaluating ... ...

W = 19.2206045575748

STEP 3: Convert Result to Output's Unit

19.2206045575748 Newton --> No Conversion Required

FINAL ANSWER

19.2206045575748 ≈ 19.2206 Newton <-- Weight of Slice

(Calculation completed in 00.020 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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< Slope Stability Analysis using Bishops Method Calculators

Length of Arc of Slice given Effective Stress

LaTeX Go Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure)

Effective Stress on Slice

LaTeX Go Effective Normal Stress = (Total Normal Force/Length of Arc)-Total Pore Pressure

Normal Stress on Slice

LaTeX Go Normal Stress in Pascal = Total Normal Force/Length of Arc

Length of Arc of Slice

LaTeX Go Length of Arc = Total Normal Force/Normal Stress in Pascal

Weight of Slice given Total Normal Force Acting on Slice Formula

LaTeX Go

What is Normal Force?

In mechanics, the normal force is the component of a contact force that is perpendicular to the surface that an object contacts.

How to Calculate Weight of Slice given Total Normal Force Acting on Slice?

Weight of Slice given Total Normal Force Acting on Slice calculator uses Weight of Slice = (Total Normal Force in Soil Mechanics*cos((Angle of Base*pi)/180))+(Shear Force on Slice in Soil Mechanics*sin((Angle of Base*pi)/180))-Vertical Shear Force+Vertical Shear Force at other Section to calculate the Weight of Slice, The Weight of Slice given Total Normal Force Acting on Slice is defined as the value of weight of slice when we have prior information of other parameters used. Weight of Slice is denoted by W symbol.

How to calculate Weight of Slice given Total Normal Force Acting on Slice using this online calculator? To use this online calculator for Weight of Slice given Total Normal Force Acting on Slice, enter Total Normal Force in Soil Mechanics (F_n), Angle of Base (θ), Shear Force on Slice in Soil Mechanics (S), Vertical Shear Force (X_n) & Vertical Shear Force at other Section (X_(n+1)) and hit the calculate button. Here is how the Weight of Slice given Total Normal Force Acting on Slice calculation can be explained with given input values -> 19.2206 = (12.09*cos((0.785398163397301*pi)/180))+(11.07*sin((0.785398163397301*pi)/180))-2.89+9.87.

FAQ

What is Weight of Slice given Total Normal Force Acting on Slice?

The Weight of Slice given Total Normal Force Acting on Slice is defined as the value of weight of slice when we have prior information of other parameters used and is represented as W = (F_n*cos((θ*pi)/180))+(S*sin((θ*pi)/180))-X_n+X_(n+1) or Weight of Slice = (Total Normal Force in Soil Mechanics*cos((Angle of Base*pi)/180))+(Shear Force on Slice in Soil Mechanics*sin((Angle of Base*pi)/180))-Vertical Shear Force+Vertical Shear Force at other Section. Total Normal Force in Soil Mechanics is the force that surfaces exert to prevent solid objects from passing through each other, Angle of Base of the slice with horizontal, Shear Force on Slice in Soil Mechanics acting along the base of slice, Vertical Shear Force on the section N & Vertical Shear Force at other Section means shear force at section N+1.

How to calculate Weight of Slice given Total Normal Force Acting on Slice?

The Weight of Slice given Total Normal Force Acting on Slice is defined as the value of weight of slice when we have prior information of other parameters used is calculated using Weight of Slice = (Total Normal Force in Soil Mechanics*cos((Angle of Base*pi)/180))+(Shear Force on Slice in Soil Mechanics*sin((Angle of Base*pi)/180))-Vertical Shear Force+Vertical Shear Force at other Section. To calculate Weight of Slice given Total Normal Force Acting on Slice, you need Total Normal Force in Soil Mechanics (F_n), Angle of Base (θ), Shear Force on Slice in Soil Mechanics (S), Vertical Shear Force (X_n) & Vertical Shear Force at other Section (X_(n+1)). With our tool, you need to enter the respective value for Total Normal Force in Soil Mechanics, Angle of Base, Shear Force on Slice in Soil Mechanics, Vertical Shear Force & Vertical Shear Force at other Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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