Boussinesq Stresses

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Boussinesq Q= 5000 y= 1 x 0 1 2 3 4 5 z 0 0 0 0 0 0 0 1 422.0233 153.1469 27.07281 5.948804 1.736721 0.630234 2 341.646 216.5824 78.59503 26.04242 9.450464 3.874345 3 203.8333 160.6177 87.89316 40.96294 18.70001 8.894162 4 128.2239 111.1502 75.60371 44.32594 24.42342 13.36497 5 86.57411 78.77928 60.53663 41.17668 26.10347 16.06556 6 61.92426 57.93035 47.90772 35.9311 25.21596 17.03672 7 46.32127 44.08391 38.21388 30.62496 23.13906 16.80941 8 35.88376 34.53993 30.90713 25.94789 20.69993 15.90652 A point load of Q = 5000 kN is applied to the surface stress distribution as it varies with depth. Use a val should between 0.0 m and 10m. Try to use no more than 0 50 100 150 200 250 300 350 400 450 0 1 2 3 4 5 6 7 8 9 Variation of vertical stress with depth x=0 x=2 x=3 Vertical stress (kPa) depth (m)

description

for students learning soil mechanics ver.1

Transcript of Boussinesq Stresses

Page 1: Boussinesq Stresses

Boussinesq

Q= 5000 y= 1x 0 1 2 3 4 5 6z0 0 0 0 0 0 0 01 422.0233 153.1469 27.07281 5.948804 1.736721 0.630234 0.2681962 341.646 216.5824 78.59503 26.04242 9.450464 3.874345 1.774363 203.8333 160.6177 87.89316 40.96294 18.70001 8.894162 4.4913884 128.2239 111.1502 75.60371 44.32594 24.42342 13.36497 7.4713955 86.57411 78.77928 60.53663 41.17668 26.10347 16.06556 9.8592116 61.92426 57.93035 47.90772 35.9311 25.21596 17.03672 11.325527 46.32127 44.08391 38.21388 30.62496 23.13906 16.80941 11.938768 35.88376 34.53993 30.90713 25.94789 20.69993 15.90652 11.92279

A point load of Q = 5000 kN is applied to the surface of the ground. Draw a graph of the vertical stress distribution as it varies with depth. Use a values of y = 0 m and x = 2 m. The depth z should between 0.0 m and 10m. Try to use no more than ten points to draw your graph.

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Variation of vertical stress with depth

x=0

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x=3

Vertical stress (kPa)

dept

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Page 2: Boussinesq Stresses

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0 00.128525 0.0674610.891286 0.4829242.410711 1.3683464.317492 2.5874916.125877 3.8834277.518289 5.0299278.396872 5.901241

8.80885 6.467063

A point load of Q = 5000 kN is applied to the surface of the ground. Draw a graph of the vertical stress distribution as it varies with depth. Use a values of y = 0 m and x = 2 m. The depth z should between 0.0 m and 10m. Try to use no more

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100

150

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250

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450

Variation of vertical stress with depth

z=0

z=1

z=4

horizontal distance, x (m)

verti

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s (kP

a)