1. Measurements in a trapezoidal channel yield a flow rate of 100 m³/s, a flow depth of 3 m, a bottom width of 3 m, side slopes of 3:1 (H:V), and a longitudinal slope of 0.5%. The channel is observed to be lined with gravel-sized stones that are estimated to have a specific weight of 25 900 N/m³ and an angle of repose of 37°. (a) Calculate the median size of the stones on the perimeter of the channel. (b) Using the calculated stone size, determine whether you expect the channel to be stable in its current configuration. Assume a safety factor of 1, and neglect the effect of the longitudinal slope on the permissible shear stress. [For water, take 7 = 9789 N/m³, v = 1.00 x 10-6 m²/s]

1. Measurements in a trapezoidal channel yield a flow rate of 100 m³/s, a flow depth of 3 m, a bottom width of 3 m, side slopes of 3:1 (H:V), and a longitudinal slope of 0.5%. The channel is observed to be lined with gravel-sized stones that are estimated to have a specific weight of 25 900 N/m³ and an angle of repose of 37°. (a) Calculate the median size of the stones on the perimeter of the channel. (b) Using the calculated stone size, determine whether you expect the channel to be stable in its current configuration. Assume a safety factor of 1, and neglect the effect of the longitudinal slope on the permissible shear stress. [For water, take 7 = 9789 N/m³, v = 1.00 x 10-6 m²/s]

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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