GATE CE 2016 Set 2 — Question 24
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Water Resources Engineering → Canals & Hydraulic Structures → Khosla's Theory
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Question
Profile of a weir on permeable foundation is shown in figure I and an elementary profile of 'upstream pile only case' according to Khosla's theory is shown in figure II. The uplift pressure heads at key points Q, R and S are m, m and m, respectively (refer figure II).
What is the uplift pressure head at point P downstream of the weir (junction of floor and pile as shown in the figure I)?
Correct answer
(B) 1.25 m
Solution
According to Khosla's theory, for an elementary profile with an upstream pile (Figure II), the uplift pressure heads are given as m, m, and m for a total head m.In Figure I, point P is the junction of the floor and the pile at the downstream end. The total floor length is m, which matches the length in Figure II. The pile depth at P is m, which also matches the pile depth in Figure II.By the principle of symmetry in Khosla's theory, the uplift pressure at the downstream junction () is related to the uplift pressure at the upstream junction () as follows:
.Thus, the correct option is (B).
.Thus, the correct option is (B).
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