Engineering Board Exam Reviewer · Applications: Centroid, Work, and Moment of Inertia · hard
A vertical triangular plate has its apex 2 m below the water surface and its horizontal base, 4 m long, at a depth of 5 m. Find the hydrostatic force on one face, in kilonewtons. Use g=9.81 kN/m3.
- 206.01
- 294.3
- 117.72
- 235.44
Answer
D. 235.44
Solution
At depth y the width is 4(y-2)/3. F=9.81 25y·4(y-2)/3,dy=9.81· 43≤ft[y3/3-y2 ]25=9.81· 43(18)=235.44 kN.
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