Uploaded by Landel Smith

Retaining wall Formulae Sheet

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Retaining walls- Stability Analysis
Earth pressure
Pπ‘Ž = qHKπ‘Ž
1
Pπ‘Ž = 𝛾!"#$ H ! Kπ‘Ž
2
1 βˆ’ sin βˆ…
πΎπ‘Ž =
1 + sinβˆ…
πΎπ‘Ž = cos𝛽 ×
!"#!! !"# ! !!!"# ! βˆ…
!"#!! !"# ! !!!"# ! βˆ…
Sloping surface P𝑝 = qHK𝑝
1
P𝑝 = 𝛾!"#$ H ! K𝑝
2
1 βˆ’ sin βˆ…
𝐾𝑝 =
1 + sinβˆ…
𝐾𝑝 = cos𝛽 ×
!"#!! !"# ! !!!"# ! βˆ…
!"#!! !"# ! !!!"# ! βˆ…
π‘Š = π‘Žπ‘Ÿπ‘’π‘Ž × π›Ύ!"#!. 𝑃! = 𝑃! sin 𝛽
𝑃! = 𝑃! cos 𝛽
Sloping surface Overturning moments
FOS =
!"# !" !!! !"!#$%& !!!" !"#$#% !"#$%&$'(')
!"# !" !"#$%&$'(') !"!#$%&
𝑀!
β‰₯2
𝑀!
Factor of safety against Sliding
FOS =
!!
!!
β‰₯ 1.5
𝐹! = 𝐢! 𝐡 + 𝑅! tan 𝛿 + 𝑃!
𝑅! = π‘Š! + 𝑃!
𝑅! = total vertical force
𝛿 = π‘Žπ‘›π‘”π‘™π‘’ π‘œπ‘“ π‘€π‘Žπ‘™π‘™ π‘“π‘Ÿπ‘–π‘π‘‘π‘–π‘œπ‘›
𝐢! = 𝑒𝑛𝑖𝑑 π‘œπ‘“ π‘Žπ‘‘β„Žπ‘’π‘ π‘–π‘œπ‘›
=
!!
!"
Factor of safety against base pressure
X = = βˆ‘π‘€! βˆ’ βˆ‘π‘€!
𝑃!" + βˆ‘π‘Š!
𝑒 = 𝑒 < !
!
- X
𝐡
6
π‘ž!
π‘ž!
π‘ž! ≀ = 𝐹!
3
𝑅!
6𝑒
6𝑒
π‘ž! = 1+
= π‘ž! 1 +
𝐡
𝐡
𝐡
π‘ž! = π‘ž!
6𝑒
1βˆ’
𝐡
𝑅!
π‘ž! = = π‘Žπ‘™π‘™π‘œπ‘€π‘Žπ‘π‘™π‘’ π‘π‘’π‘Žπ‘Ÿπ‘–π‘›π‘” π‘π‘Ÿπ‘’π‘ π‘ π‘’π‘Ÿπ‘’
𝐡
π‘ž! = π‘’π‘™π‘‘π‘–π‘šπ‘Žπ‘‘π‘’ π‘π‘’π‘Žπ‘Ÿπ‘–π‘›π‘” π‘π‘Žπ‘π‘Žπ‘π‘–π‘‘π‘¦