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Sum of Tangential Component given Factor of Safety Formula

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Sum of All Tangential Component in Soil Mechanics means total tangential component. Check FAQs

F t = \frac{(c u \cdot L') + (ΣN \cdot \tan (\frac{φ \cdot π}{180}))}{f s}

F_t - Sum of All Tangential Component in Soil Mechanics?c_u - Unit Cohesion?L^' - Length of Slip Arc?ΣN - Sum of all Normal Component?φ - Angle of Internal Friction?f_s - Factor of Safety?π - Archimedes' constant?

Sum of Tangential Component given Factor of Safety Example

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Here is how the Sum of Tangential Component given Factor of Safety equation looks like with Values.

Here is how the Sum of Tangential Component given Factor of Safety equation looks like with Units.

Here is how the Sum of Tangential Component given Factor of Safety equation looks like.

10.7201 = \frac{(10 \cdot 3.0001) + (5.01 \cdot \tan (\frac{9.93 \cdot 3.1416}{180}))}{2.8}

10.7201N = \frac{(10Pa \cdot 3.0001m) + (5.01N \cdot \tan (\frac{9.93° \cdot 3.1416}{180}))}{2.8}

10.7201 = \frac{(10 \cdot 3.0001) + (5.01 \cdot \tan (\frac{9.93 \cdot 3.1416}{180}))}{2.8}

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Sum of Tangential Component given Factor of Safety Solution

Follow our step by step solution on how to calculate Sum of Tangential Component given Factor of Safety?

FIRST Step Consider the formula

F t = \frac{(c u \cdot L') + (ΣN \cdot \tan (\frac{φ \cdot π}{180}))}{f s}

Next Step Substitute values of Variables

∴

F t = \frac{(10Pa \cdot 3.0001m) + (5.01N \cdot \tan (\frac{9.93° \cdot π}{180}))}{2.8}

Next Step Substitute values of Constants

∴

F t = \frac{(10Pa \cdot 3.0001m) + (5.01N \cdot \tan (\frac{9.93° \cdot 3.1416}{180}))}{2.8}

Next Step Convert Units

∴

F t = \frac{(10Pa \cdot 3.0001m) + (5.01N \cdot \tan (\frac{0.1733rad \cdot 3.1416}{180}))}{2.8}

Next Step Prepare to Evaluate

∴

F t = \frac{(10 \cdot 3.0001) + (5.01 \cdot \tan (\frac{0.1733 \cdot 3.1416}{180}))}{2.8}

Next Step Evaluate

∴

F t = 10.7200551962936N

LAST Step Rounding Answer

∴

F t = 10.7201N

Sum of Tangential Component given Factor of Safety Formula Elements

Variables

Constants

Functions

Sum of All Tangential Component in Soil Mechanics

Sum of All Tangential Component in Soil Mechanics means total tangential component.

Symbol: F_t

Measurement: ForceUnit: N

Note: Value should be between 0 to 180.

Formulas to find Sum of All Tangential Component in Soil Mechanics

Unit Cohesion

Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.

Symbol: c_u

Measurement: PressureUnit: Pa