Problem 3.1: Determine the base width of a 20-m high trapezoidal concrete gravity dam having a vertical upstream face and a top width of 5 m (see Figure 3.57). Design water depth is 18 m. There is no tail water. Ignore earthquake, silt, and ice loads. Take e-B/6 (ZV is at the toe side with respect to the centerline of the base) o, 30 MPa, of -80 MPa, t, 6 MPa, and -1.0. Specific weights of water and concrete are 10 kN/m³ and 24 kN/m³, respectively. Answer: B=11.82 m. 18 m 20 m 5 m B=? Figure 3.57 Cross-section of dam for Pro

Structural Analysis
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Problem 3.1: Determine the base width of a 20-m high trapezoidal concrete
gravity dam having a vertical upstream face and a top width of 5 m (see Figure
3.57). Design water depth is 18 m. There is no tail water. Ignore earthquake, silt,
and ice loads. Take e-B/6 (ZV is at the toe side with respect to the centerline of
the base) o 30 MPa, o, -80 MPa, t, 6 MPa, and -1.0. Specific weights of
water and concrete are 10 kN/m³ and 24 kN/m³, respectively.
Answer: B=11.82 m.
18 m
20 m
5 m
B=?
Figure 3.57 Cross-section of dam for Problem 3.1.
Transcribed Image Text:Problem 3.1: Determine the base width of a 20-m high trapezoidal concrete gravity dam having a vertical upstream face and a top width of 5 m (see Figure 3.57). Design water depth is 18 m. There is no tail water. Ignore earthquake, silt, and ice loads. Take e-B/6 (ZV is at the toe side with respect to the centerline of the base) o 30 MPa, o, -80 MPa, t, 6 MPa, and -1.0. Specific weights of water and concrete are 10 kN/m³ and 24 kN/m³, respectively. Answer: B=11.82 m. 18 m 20 m 5 m B=? Figure 3.57 Cross-section of dam for Problem 3.1.
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