Unit Weight Formula:
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Definition: Unit weight (γ) represents the weight per unit volume of soil, typically expressed in kN/m³ in geotechnical engineering.
Purpose: It's a fundamental property used in calculating stresses in soil, bearing capacity, and slope stability analysis.
The calculator uses the formula:
Where:
Explanation: The density is multiplied by gravity and divided by 1000 to convert from N/m³ to kN/m³.
Details: Unit weight is crucial for:
Tips:
Q1: What's the typical unit weight of soil?
A: Most soils range between 15-20 kN/m³, with sands around 16-18 kN/m³ and clays 17-20 kN/m³.
Q2: Why use kN/m³ instead of kg/m³?
A: kN/m³ is preferred in geotechnical engineering as it directly relates to stress calculations (kPa = kN/m²).
Q3: How does moisture affect unit weight?
A: Wet soils have higher unit weight due to water content, while saturated soils may approach 22 kN/m³.
Q4: What's the difference between density and unit weight?
A: Density (ρ) is mass per volume (kg/m³), while unit weight (γ) is force per volume (kN/m³), related by γ = ρ × g.
Q5: How do I measure soil density?
A: Use field tests like sand cone or nuclear density gauge, or lab tests on undisturbed samples.