a) plot the variation of active pressure along the wall andb) determine the magnitude and location of the active force for a 5 ft segment of the wall. Sand810 pefSand8sat= 120 pcff= 35°

Data given: Asked: Plot the variation of active earth pressure along the wall Determine the…

Answered: a) plot the variation of active…

Principles of Foundation Engineering (MindTap Course List)

9th Edition

ISBN:9781337705028

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter16: Lateral Earth Pressure

Section: Chapter Questions

Problem 16.12P

See similar textbooks

Related questions

Question

a) plot the variation of active pressure along the wall and
b) determine the magnitude and location of the active force for a 5 ft segment of the wall.

Expert Solution

Step 1 Interpretation of data

Data given:

Asked:

Plot the variation of active earth pressure along the wall
Determine the magnitude and location of the active force for a 5ft segment of the wall

Step 2 Primary calculations

For the sand cohesion C = 0

$∴ σ'_{a} = σ'_{ν} K_{a}$

Here, angle of internal friction $ϕ = 35 °$ ,

$∴ K_{a} = \frac{1 - sinϕ}{1 + sinϕ} = \frac{1 - \sin 35}{1 + \sin 35} = 0.271$

Step 3 Calculations for active earth pressure

As we know that,

$At Z = 0, σ'_{ν} = 0, σ'_{a} = 0 However, At Z = 10 ft, σ'_{ν} = γ \times Z = 110 \times 10 = 1100 psf σ'_{a} = K_{a} \times σ'_{ν} = 0.271 \times 1100 = 298.1 psf Similarly, At Z = 20 ft, σ'_{ν} = (γ_{1} \times Z_{1}) + ((γ_{sat} - γ_{w}) \times Z_{2}) = (110 \times 10) + [(120 - 62.45) \times 10] = 1675.5 psf σ'_{a} = K_{a} \times σ'_{ν} = 0.271 \times 1675.5 = 454 psf$

Step by step

Solved in 6 steps with 3 images

Knowledge Booster

Lateral earth pressure distribution against retaining walls

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions