Civil Engineering MCQAE Level Civil Engineering
The critical height of an unsupported vertical cut in a cohesive soil (c = unit cohesion, φ = angle of internal friction, r = unit weight) is given by
Soil MechanicsSoil MechanicsMEDIUM
Choose the correct answer
A
(4c/r)·tan(45° + φ/2)
B
(2c/r)·tan(45° + φ/2)
C
(4c/r)·cot(45° + φ/2)
D
(2c/r)·cot(45° + φ/2)
Correct Answer
A. (4c/r)·tan(45° + φ/2)
AI Detailed Explanation & IS Code Reference
Unlock the reasoning, formula path and code-linked notes inside your student dashboard.
Critical height of unsupported cut = 4c/gamma tan(45+phi/2).
ScoreCardAI links this solution with subject, topic and difficulty signals so your scorecard can identify weak areas after a full mock test.
Concept shortcut
IS/IRC reference
Common trap
Practice more Civil Engineering questions
This MCQ belongs to WBPSC AE Previous Years Questions Series. Full tests include timed attempts, rank comparison and subject-wise analysis.