Sum of Tangential Component given Driving Moment Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sum of all Tangential Component = Driving Moment/Radius of Slip Circle
ΣT = MD/r
This formula uses 3 Variables
Variables Used
Sum of all Tangential Component - (Measured in Newton) - Sum of all Tangential Component means total tangential component.
Driving Moment - (Measured in Kilonewton Meter) - Driving Moment is the rotational effect of weight on the wedge.
Radius of Slip Circle - (Measured in Meter) - Radius of Slip Circle is the distance between center and one point on slip circle.
STEP 1: Convert Input(s) to Base Unit
Driving Moment: 10 Kilonewton Meter --> 10 Kilonewton Meter No Conversion Required
Radius of Slip Circle: 0.6 Meter --> 0.6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΣT = MD/r --> 10/0.6
Evaluating ... ...
ΣT = 16.6666666666667
STEP 3: Convert Result to Output's Unit
16.6666666666667 Newton --> No Conversion Required
FINAL ANSWER
16.6666666666667 16.66667 Newton <-- Sum of all Tangential Component
(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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25 The Swedish Slip Circle Method Calculators

Sum of Normal Component given Factor of Safety
Go Sum of All Normal Component in Soil Mechanics = ((Factor of Safety*Sum of All Tangential Component in Soil Mechanics)-(Unit Cohesion*Length of Slip Arc))/tan((Angle of Internal Friction of Soil*pi)/180)
Length of Slip Circle given Sum of Tangential Component
Go Length of Slip Arc = ((Factor of Safety*Sum of all Tangential Component)-(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Unit Cohesion
Sum of Tangential Component given Factor of Safety
Go Sum of all Tangential Component = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Factor of Safety
Total Length of Slip Circle given Resisting Moment
Go Length of Slip Arc = ((Resisting Moment/Radius of Slip Circle)-(Sum of all Normal Component*tan((Angle of Internal Friction))))/Unit Cohesion
Sum of Normal Component given Resisting Moment
Go Sum of all Normal Component = ((Resisting Moment/Radius of Slip Circle)-(Unit Cohesion*Length of Slip Arc))/tan((Angle of Internal Friction))
Resisting Moment given Radius of Slip Circle
Go Resisting Moment = Radius of Slip Circle*((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction))))
Normal Component given Resisting Force from Coulomb's Equation
Go Normal Component of Force in Soil Mechanics = (Resisting force in Soil Mechanics-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction of Soil))
Resisting Force from Coulomb's Equation
Go Resisting Force = ((Unit Cohesion*Curve Length)+(Normal Component of Force*tan((Angle of Internal Friction))))
Curve Length of Each Slice given Resisting Force from Coulomb's Equation
Go Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion
Radial Distance from Centre of Rotation given Factor of Safety
Go Radial Distance = Factor of Safety/((Unit Cohesion*Length of Slip Arc)/(Weight of Body in Newtons*Distance))
Distance between Line of Action of Weight and Line Passing through Center
Go Distance = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety)
Distance between Line of Action and Line Passing through Center given Mobilised Cohesion
Go Distance = Mobilised Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc)
Radial Distance from Centre of Rotation given Mobilised Shear resistance of Soil
Go Radial Distance = Mobilised Shear Resistance of Soil/((Weight of Body in Newtons*Distance)/Length of Slip Arc)
Mobilised Shear resistance of Soil given Weight of Soil on Wedge
Go Mobilised Shear Resistance of Soil = (Weight of Body in Newtons*Distance*Radial Distance)/Length of Slip Arc
Radial Distance from Center of Rotation given Length of Slip Arc
Go Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi))
Arc Angle given Length of Slip Arc
Go Arc Angle = (360*Length of Slip Arc)/(2*pi*Radial Distance)*(pi/180)
Radial Distance from Centre of Rotation given Moment of Resistance
Go Radial Distance = Resisting Moment/(Unit Cohesion*Length of Slip Arc)
Moment of Resistance given Unit Cohesion
Go Resisting Moment = (Unit Cohesion*Length of Slip Arc*Radial Distance)
Sum of Tangential Component given Driving Moment
Go Sum of all Tangential Component = Driving Moment/Radius of Slip Circle
Driving Moment given Radius of Slip Circle
Go Driving Moment = Radius of Slip Circle*Sum of all Tangential Component
Mobilised Shear resistance of Soil given Factor of Safety
Go Mobilised Shear Resistance of Soil = Unit Cohesion/Factor of Safety
Distance between Line of Action and Line Passing through Center given Driving Moment
Go Distance = Driving Moment/Weight of Body in Newtons
Driving Moment given Weight of Soil on Wedge
Go Driving Moment = Weight of Body in Newtons*Distance
Moment of Resistance given Factor of Safety
Go Resisting Moment = Factor of Safety*Driving Moment
Driving Moment given Factor of Safety
Go Driving Moment = Resisting Moment/Factor of Safety

Sum of Tangential Component given Driving Moment Formula

Sum of all Tangential Component = Driving Moment/Radius of Slip Circle
ΣT = MD/r

What is Moment of Force?

The Moment of a force is a measure of its tendency to cause a body to rotate about a specific point or axis. This is different from the tendency for a body to move, or translate, in the direction of the force.

How to Calculate Sum of Tangential Component given Driving Moment?

Sum of Tangential Component given Driving Moment calculator uses Sum of all Tangential Component = Driving Moment/Radius of Slip Circle to calculate the Sum of all Tangential Component, The Sum of Tangential Component given Driving Moment is defined as the driving moment, defining rotation force applied to induce rotational motion in systems. Sum of all Tangential Component is denoted by ΣT symbol.

How to calculate Sum of Tangential Component given Driving Moment using this online calculator? To use this online calculator for Sum of Tangential Component given Driving Moment, enter Driving Moment (MD) & Radius of Slip Circle (r) and hit the calculate button. Here is how the Sum of Tangential Component given Driving Moment calculation can be explained with given input values -> 4.997501 = 10000/0.6.

FAQ

What is Sum of Tangential Component given Driving Moment?
The Sum of Tangential Component given Driving Moment is defined as the driving moment, defining rotation force applied to induce rotational motion in systems and is represented as ΣT = MD/r or Sum of all Tangential Component = Driving Moment/Radius of Slip Circle. Driving Moment is the rotational effect of weight on the wedge & Radius of Slip Circle is the distance between center and one point on slip circle.
How to calculate Sum of Tangential Component given Driving Moment?
The Sum of Tangential Component given Driving Moment is defined as the driving moment, defining rotation force applied to induce rotational motion in systems is calculated using Sum of all Tangential Component = Driving Moment/Radius of Slip Circle. To calculate Sum of Tangential Component given Driving Moment, you need Driving Moment (MD) & Radius of Slip Circle (r). With our tool, you need to enter the respective value for Driving Moment & Radius of Slip Circle 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 Sum of all Tangential Component?
In this formula, Sum of all Tangential Component uses Driving Moment & Radius of Slip Circle. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Sum of all Tangential Component = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Factor of Safety
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