GATE CE 2020 Set 2 — Question 61

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NAT+2 / -0MediumGravity DamsCanals & Hydraulic StructuresWater Resources Engineering

Water Resources Engineering → Canals & Hydraulic Structures → Gravity Dams

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Question

A concrete dam holds 10 m10\text{ m} of static water as shown in the figure (not drawn to the scale). The uplift is assumed to vary linearly from full hydrostatic head at the heel, to zero at the toe of dam. The coefficient of friction between the dam and foundation soil is 0.450.45. Specific weights of concrete and water are 24 kN/m324\text{ kN/m}^3 and 9.81 kN/m39.81\text{ kN/m}^3, respectively.
A diagram showing a triangular concrete dam of height 10.0 m and base width B. Water is on the left side up to the top. Uplift pressure distribution is shown at the base, varying from full hydrostatic head at the heel to zero at the toe.
For NO sliding condition, the required minimum base width BB (in m, round off to two decimal places) is ________.
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