Resisting Shear Against Movement of Particle Calculator

Formula Used:

\[ \zeta_c = 0.056 \times \Gamma_w \times d \times (S_s - 1) \]

Resisting Shear Against Movement of Particle (ζc):

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1. What is Resisting Shear Against Movement of Particle?

Resisting shear against movement of particle refers to the ability of an adhesive or material to resist shear stress that would cause particle movement. It's an important parameter in soil mechanics and sediment transport studies.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \zeta_c = 0.056 \times \Gamma_w \times d \times (S_s - 1) \]

Where:

\( \zeta_c \) — Resisting shear against movement of particle (Pa)
\( \Gamma_w \) — Unit weight of water (N/m³)
\( d \) — Diameter of particle (m)
\( S_s \) — Specific gravity of particles

Explanation: This formula calculates the critical shear stress required to initiate particle movement based on particle properties and water characteristics.

3. Importance of Resisting Shear Calculation

Details: Calculating resisting shear is crucial for understanding sediment transport, erosion control, and designing stable hydraulic structures. It helps predict when particles will begin to move under fluid flow conditions.

4. Using the Calculator

Tips: Enter unit weight of water in N/m³, particle diameter in meters, and specific gravity of particles. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for unit weight of water?
A: The unit weight of water is typically around 9807 N/m³ at standard conditions (20°C).

Q2: How does particle size affect resisting shear?
A: Larger particles generally require higher shear stress to initiate movement due to their greater weight and interlocking effects.

Q3: What does specific gravity of particles represent?
A: Specific gravity represents the density of particles relative to water. Most mineral particles have specific gravity between 2.6-2.7.

Q4: When is this calculation particularly important?
A: This calculation is crucial in hydraulic engineering, river morphology studies, and designing erosion control measures.

Q5: Are there limitations to this formula?
A: This is a simplified formula and may not account for all factors such as particle shape, cohesion, or complex flow conditions.