A very wide rectangular channel is designed to carry a discharge of 5 m³/s per meter width. The design is based on the Manning's equation with the roughness coefficient obtained from the grain size using Strickler's equation and results in a normal depth of 1.0 m. By mistake, however, the engineer used the grain diameter in mm in the Strickler's equation instead of in meter. What should be the correct normal depth? (a) 0.32 m (c) 2.00 m (b) 0.50 m (d) 3.20 m

A very wide rectangular channel is designed to carry a discharge of 5 m³/s per meter width. The design is based on the Manning's equation with the roughness coefficient obtained from the grain size using Strickler's equation and results in a normal depth of 1.0 m. By mistake, however, the engineer used the grain diameter in mm in the Strickler's equation instead of in meter. What should be the correct normal depth? (a) 0.32 m (c) 2.00 m (b) 0.50 m (d) 3.20 m

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Open Channel Flow

Open channel flow is a branch of fluid mechanics. It deals with the flow of fluid in an open conduit or free surface. In an open channel flow, gravity induces the flow of water whose surface is open to the air. This flow is free-falling rather than confined in rigid body conduits. The open channel flow depends upon two parameters that are the cross-section of the conduit and the velocity profile. Practical examples of open channel flow are streams, rivers, canals, and other drainage systems.In open channel flow, the cross-sectional area of at least one of the sides is exposed to air, and the surface of water faces atmospheric pressure. This flow is also known as free gravity flow. The cross-sectional area of the conduit can be either man-made or a natural channel. For instance, the flow in rivers and streams are natural conduits, and the flow in a canal and sanitary systems are man-made or engineered channels.

Question

A very wide rectangular channel is designed to carry a discharge of 5 m³/s per meter width. The
design is based on the Manning's equation with the roughness coefficient obtained from the grain
size using Strickler's equation and results in a normal depth of 1.0 m. By mistake, however, the
engineer used the grain diameter in mm in the Strickler's equation instead of in meter. What
should be the correct normal depth?
(a) 0.32 m
(c) 2.00 m
(b) 0.50 m
(d) 3.20 m

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A very wide rectangular channel is designed to carry a discharge of 5 m³/s per metre width. The design is based on the Manning's equation with the roughness coefficient obtained from the grain size using Strickler's equation and results in a normal depth of 1.0 m. By mistake, however, the engineer used the grain diameter in mm in the Strickler's equation instead of in metre. What should be the correct normal depth?