Flood water A Ground Level

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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y
Flood water
Ground Level
Figure Q1b
Transcribed Image Text:y Flood water Ground Level Figure Q1b
8wa (w* -y)
(b) An engineering intem has designed a flood defence barrier. The barrier has
a rectangular cross section of width 2w and height h above ground level as
shown in Figure Q1b. The intern has provided the following solution for the
in-plane stresses (N/m?) in the barrier:
pgx'y pg
3xyw2
2w3
xy3
4w3
Pg (xy
dy
pgx
2
3pg
(w²-y2)-
3xy
%3D
4w w?
3pg
Try
(x*w²- x²y?) +
pg
%3D
8w3
20w
8wa (w*-y)
where p is the density of the flood water, g 9.81 m/s? is the gravitational
acceleration, and (x, y) are rectangular Cartesian coordinates centred as
shown in Figure Q1b.
Determine the magnitude of the principal stresses at the material point
identified as A in Figure Q1b, ifp= 1000 kg/m³, w = 0.5 m, and h = 4 m.
Transcribed Image Text:8wa (w* -y) (b) An engineering intem has designed a flood defence barrier. The barrier has a rectangular cross section of width 2w and height h above ground level as shown in Figure Q1b. The intern has provided the following solution for the in-plane stresses (N/m?) in the barrier: pgx'y pg 3xyw2 2w3 xy3 4w3 Pg (xy dy pgx 2 3pg (w²-y2)- 3xy %3D 4w w? 3pg Try (x*w²- x²y?) + pg %3D 8w3 20w 8wa (w*-y) where p is the density of the flood water, g 9.81 m/s? is the gravitational acceleration, and (x, y) are rectangular Cartesian coordinates centred as shown in Figure Q1b. Determine the magnitude of the principal stresses at the material point identified as A in Figure Q1b, ifp= 1000 kg/m³, w = 0.5 m, and h = 4 m.
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