Q4. Water flows along the rectangular channel such that after it falls to the lower elevation, the depth PR V V V V V V Yw Yw 28 29′ 29′ 29′ 29′ 29′ Determine the volumetric discharge through the channel. The channel has a width of 1.5 m. h = 0.3 m. Find (4), w Yw ,ZA, ZB, ZC, Zp, ZQ, ZR.

Structural Analysis
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Chapter2: Loads On Structures
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**Question 4:**

Water flows along the rectangular channel such that after it falls to the lower elevation, the depth \( h = 0.3 \, \text{m} \).

Find:
\[
\frac{p_A}{\gamma_w}, \frac{p_B}{\gamma_w}, \frac{p_C}{\gamma_w}, \frac{p_P}{\gamma_w}, \frac{p_Q}{\gamma_w}, \frac{p_R}{\gamma_w}, \frac{V^2_A}{2g}, \frac{V^2_B}{2g}, \frac{V^2_C}{2g}, \frac{V^2_P}{2g}, \frac{V^2_Q}{2g}, \frac{V^2_R}{2g}, Z_A, Z_B, Z_C, Z_P, Z_Q, Z_R.
\]

Determine the volumetric discharge through the channel. The channel has a width of 1.5 m.

**Diagram Explanation:**

- The diagram shows a side view of a rectangular channel with sections labeled A, B, C, P, Q, and R.
- The channel starts with a depth of 0.5 m at point A, and there are two segments with depth changes outlined in the system.
- In the first segment (A to B), water depth transitions from 0.5 m at A to 0.25 m at B.
- At point C, the channel drops vertically by 1 m.
- After the fall, from P to Q to R, the water flows with a constant depth of 0.3 m and narrows with depths indicated as 0.15 m at both P and Q.
Transcribed Image Text:**Question 4:** Water flows along the rectangular channel such that after it falls to the lower elevation, the depth \( h = 0.3 \, \text{m} \). Find: \[ \frac{p_A}{\gamma_w}, \frac{p_B}{\gamma_w}, \frac{p_C}{\gamma_w}, \frac{p_P}{\gamma_w}, \frac{p_Q}{\gamma_w}, \frac{p_R}{\gamma_w}, \frac{V^2_A}{2g}, \frac{V^2_B}{2g}, \frac{V^2_C}{2g}, \frac{V^2_P}{2g}, \frac{V^2_Q}{2g}, \frac{V^2_R}{2g}, Z_A, Z_B, Z_C, Z_P, Z_Q, Z_R. \] Determine the volumetric discharge through the channel. The channel has a width of 1.5 m. **Diagram Explanation:** - The diagram shows a side view of a rectangular channel with sections labeled A, B, C, P, Q, and R. - The channel starts with a depth of 0.5 m at point A, and there are two segments with depth changes outlined in the system. - In the first segment (A to B), water depth transitions from 0.5 m at A to 0.25 m at B. - At point C, the channel drops vertically by 1 m. - After the fall, from P to Q to R, the water flows with a constant depth of 0.3 m and narrows with depths indicated as 0.15 m at both P and Q.
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