FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Angle of Shearing Resistance given Weight of Wedge Formula

Fx Copy

LaTeX Copy

Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles. Check FAQs

φ = a \tan (\frac{W we \cdot 4}{γ \cdot {(B)}^{2}})

φ - Angle of Shearing Resistance?W_we - Weight of Wedge in Kilonewton?γ - Unit Weight of Soil?B - Width of Footing?

Angle of Shearing Resistance given Weight of Wedge Example

With values

With units

Only example

Here is how the Angle of Shearing Resistance given Weight of Wedge equation looks like with Values.

Here is how the Angle of Shearing Resistance given Weight of Wedge equation looks like with Units.

Here is how the Angle of Shearing Resistance given Weight of Wedge equation looks like.

82.5734 = a \tan (\frac{138.09 \cdot 4}{18 \cdot {(2)}^{2}})

82.5734° = a \tan (\frac{138.09kN \cdot 4}{18kN/m³ \cdot {(2m)}^{2}})

82.5734 = a \tan (\frac{138.09 \cdot 4}{18 \cdot {(2)}^{2}})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Geotechnical Engineering » fx Angle of Shearing Resistance given Weight of Wedge

Angle of Shearing Resistance given Weight of Wedge Solution

Follow our step by step solution on how to calculate Angle of Shearing Resistance given Weight of Wedge?

FIRST Step Consider the formula

φ = a \tan (\frac{W we \cdot 4}{γ \cdot {(B)}^{2}})

Next Step Substitute values of Variables

∴

φ = a \tan (\frac{138.09kN \cdot 4}{18kN/m³ \cdot {(2m)}^{2}})

Next Step Convert Units

∴

φ = a \tan (\frac{138090N \cdot 4}{18000N/m³ \cdot {(2m)}^{2}})

Next Step Prepare to Evaluate

∴

φ = a \tan (\frac{138090 \cdot 4}{18000 \cdot {(2)}^{2}})

Next Step Evaluate

∴

φ = 1.44117737915852rad

Next Step Convert to Output's Unit

∴

φ = 82.573381355524°

LAST Step Rounding Answer

∴

φ = 82.5734°

Angle of Shearing Resistance given Weight of Wedge Formula Elements

Variables

Functions

Angle of Shearing Resistance

Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Shearing Resistance

Weight of Wedge in Kilonewton

Weight of Wedge in Kilonewton is defined as the weight of total soil which is in the form of wedge in terms of Kilonewton.

Symbol: W_we

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Weight of Wedge in Kilonewton

Unit Weight of Soil

Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.

Symbol: γ

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Soil

Width of Footing

Width of Footing is the shorter dimension of the footing.

Symbol: B

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Footing

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(Number)

Other formulas in Bearing Capacity of Soil by Terzaghi's Analysis category

Go Downward Force on Wedge

R v = q \cdot B + (\frac{γ \cdot B^{2} \cdot \tan (φ) \cdot (\frac{π}{180})}{4})

Go Width of Footing given Load Intensity

B = \frac{- q + \sqrt{{(q)}^{2} + R v \cdot γ \cdot \tan (φ)}}{\frac{γ \cdot \tan (φ)}{2}}

Go Weight of Wedge given Width of Footing

W we = \frac{\tan (φ) \cdot γ \cdot {(B)}^{2}}{4}

Go Unit Weight of Soil given Weight of Wedge and Width of Footing

γ = \frac{W we \cdot 4}{\tan ((φ)) \cdot {(B)}^{2}}

How to Evaluate Angle of Shearing Resistance given Weight of Wedge?

Angle of Shearing Resistance given Weight of Wedge evaluator uses Angle of Shearing Resistance = atan((Weight of Wedge in Kilonewton*4)/(Unit Weight of Soil*(Width of Footing)^2)) to evaluate the Angle of Shearing Resistance, The Angle of Shearing Resistance given Weight of Wedge formula is defined as the component of shear strength of soils which is basically frictional material and composed of individual particles. Angle of Shearing Resistance is denoted by φ symbol.

How to evaluate Angle of Shearing Resistance given Weight of Wedge using this online evaluator? To use this online evaluator for Angle of Shearing Resistance given Weight of Wedge, enter Weight of Wedge in Kilonewton (W_we), Unit Weight of Soil (γ) & Width of Footing (B) and hit the calculate button.

FAQs on Angle of Shearing Resistance given Weight of Wedge

What is the formula to find Angle of Shearing Resistance given Weight of Wedge?

The formula of Angle of Shearing Resistance given Weight of Wedge is expressed as Angle of Shearing Resistance = atan((Weight of Wedge in Kilonewton*4)/(Unit Weight of Soil*(Width of Footing)^2)). Here is an example- 5069.988 = atan((138090*4)/(18000*(2)^2)).

How to calculate Angle of Shearing Resistance given Weight of Wedge?

With Weight of Wedge in Kilonewton (W_we), Unit Weight of Soil (γ) & Width of Footing (B) we can find Angle of Shearing Resistance given Weight of Wedge using the formula - Angle of Shearing Resistance = atan((Weight of Wedge in Kilonewton*4)/(Unit Weight of Soil*(Width of Footing)^2)). This formula also uses Tangent (tan), Inverse Tan (atan) function(s).

Can the Angle of Shearing Resistance given Weight of Wedge be negative?

No, the Angle of Shearing Resistance given Weight of Wedge, measured in Angle cannot be negative.

Which unit is used to measure Angle of Shearing Resistance given Weight of Wedge?

Angle of Shearing Resistance given Weight of Wedge is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Shearing Resistance given Weight of Wedge can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Angle of Shearing Resistance given Weight of Wedge Formula

Angle of Shearing Resistance given Weight of Wedge Example

Angle of Shearing Resistance given Weight of Wedge Solution

Angle of Shearing Resistance given Weight of Wedge Formula Elements

Other formulas in Bearing Capacity of Soil by Terzaghi's Analysis category

How to Evaluate Angle of Shearing Resistance given Weight of Wedge?

FAQs on Angle of Shearing Resistance given Weight of Wedge

Variable Name