Math Problem Statement

Check the stability of a proposed slope having a height of 5m with slope angle of 180 . Given Ꝩsat = 18 KN/m3 , c= 10 KN/m2 and ꝙ =250 .

Solution

The problem involves checking the stability of a slope, which requires calculating the factor of safety (FoS). However, the slope angle you've provided (180 degrees) seems incorrect since a slope angle cannot be 180 degrees (it would represent a flat or even inverted condition). Typically, slope angles are less than 90 degrees. Please confirm or provide the correct slope angle.

Given:

  • Slope height H=5H = 5 m
  • Slope angle β\beta = [Please confirm the correct angle]
  • Saturated unit weight γsat=18\gamma_{\text{sat}} = 18 kN/m³
  • Cohesion c=10c = 10 kN/m²
  • Angle of internal friction ϕ=25\phi = 25^\circ

Once you confirm the slope angle, I can proceed with the calculation.

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Math Problem Analysis

Mathematical Concepts

Engineering Geology
Soil Mechanics
Slope Stability Analysis

Formulas

Factor of Safety (FoS) calculation

Theorems

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Suitable Grade Level

Professional