Calculating Maximum Stable Excavation Depth in Clayey Soil
Problem Analysis
The question asks for the maximum permissible depth of a vertical excavation in clayey soil. We are given:
- Unit cohesion ($c$): $100 \text{ kN/m}^2$
- Unit weight ($\gamma$): $15 \text{ kN/m}^3$
- Taylor's stability number ($S_n$): $0.3$
The goal is to find the maximum depth ($H$) for stability.
Stability Formula
For a vertical cut in clayey soil, the relationship between cohesion, unit weight, depth, and stability number is given by:
$c = S_n \times \gamma \times H$Calculation of Maximum Depth (H)
To find the maximum depth ($H$), we rearrange the formula:
$H = \frac{c}{S_n \times \gamma}$Now, substitute the given values:
$H = \frac{100 \text{ kN/m}^2}{0.3 \times 15 \text{ kN/m}^3}$ $H = \frac{100}{4.5} \text{ m}$ $H \approx 22.22 \text{ m}$Conclusion
The maximum depth of excavation for the vertical face to remain stable is approximately $22.22 \text{ m}$.
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Important Questions from Mixed Topic (CUET PG)
- Who was the founder of Bolshevik Communist party?
- What is the key guide to statecraft in the realist tradition?
- Chronologically arrange the events in the Cold War period.
A. Berlin Wall is constructed
B. Communist China joins the UN
C. Soviet invasion of Czechoslovakia
D. Berlin Blockade
Choose the correct answer from the options given below: Morgenthau's principles of political realism are:
A. Politics is rooted in permanent and unchanging human nature which is basically self centred, self-regarding and self-interested
B. Politics is an autonomous sphere of action and cannot therefore be reduced to morals
C. International Politics is an arena of conflicting self-interests
D. The ethics of international relations is situational ethics which is very different from private morality
Choose the correct answer from the options given below:Who among the following political thinkers consider the anarchical self help system to be a compelling factor for States to maximise their relative power positions?
