yFlood waterGround LevelFigure Q1b 8wa (w* -y)(b) An engineering intem has designed a flood defence barrier. The barrier hasa rectangular cross section of width 2w and height h above ground level asshown in Figure Q1b. The intern has provided the following solution for thein-plane stresses (N/m?) in the barrier:pgx'y pg3xyw22w3xy34w3Pg (xydypgx23pg(w²-y2)-3xy%3D4w w?3pgTry(x*w²- x²y?) +pg%3D8w320w8wa (w*-y)where p is the density of the flood water, g 9.81 m/s? is the gravitationalacceleration, and (x, y) are rectangular Cartesian coordinates centred asshown in Figure Q1b.Determine the magnitude of the principal stresses at the material pointidentified as A in Figure Q1b, ifp= 1000 kg/m³, w = 0.5 m, and h = 4 m.

According to given data g=9.81 m/s2ρ= 1000 kg/m3w= 0.5m (Cross section width = 2w )h= 4 mNeed to…

Answered: Flood water A Ground Level

Engineering

Civil Engineering

Flood water A Ground Level

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

Principles of Seepage

In hydrology, when water flows down in a pore or crack of unsaturated soil due to gravity, the deep layer of soil is called seepage. It is the slow movement of water in the soil layer. Seepage is mainly found near hydraulic structures and is responsible for the stability of earthen-type hydraulic structures.

Question

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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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