Page 121 - Water Standards

shearfrictionformula;
,
K′ 1 K′ 2=safet yfactorsofstabilit ya g ainstslidin gonslidin g
p lanesABandBCcalculatedb yshearfrictionformula;
,
f ′ 1f ′ 2=frictioncoefficientsofshearfrictiononslidin gp lanes
ABandBC;
,
c′ 1c′ 2=cohesionsofslidin gfrictiononslidin gp lanesABand
BC, kPa;
,
G 1 G 2=wei g htsofrockmassesaboveslidin gp lanesABand
BC, kN;
,
U1U2=u p liftp ressuresonslidin gp lanesABandBC, kN;
A 1 A 2=calculatedsectionalareasofslidin gp lanesABandBC,
,
m ;
2
α,=an g lesbetweenslidin gp lanesABandBC,( ° );
β
U3=u p liftp ressureonp laneBD, kN;
R=resistanceofthedownstreamrockmass , kN;
φ =thean g lebetweentheresistanceandhorizontal ,which
ma ybetakenas =0°forsafet y.
φ
2 Theformulaforslidin gfriction.Thesafet yfactorofsta-
bilit ya g ainstslidin gma ybecalculatedb yFormula ( A.0.3 4)
Formula ( A.0.3 6):
)
[(
φ-α
K 1= f 1 ∑W+G 1cos α-U3sin α-∑Psin α-Rsin ( ) -U1 ]
∑W
)
φ-α
( +G 1sin α+∑Pcos α-Rcos ( ) -U3cos α
( A.0.3 4)
β+U3sin
[
φ+β
K2= f 2 Rsin( ) +G 2cos β+U3cos ]
β-U2
Rcos ( ) -G 2sin
β
φ+β
( A.0.3 5)
( A.0.3 6)
K=K1=K2
Where:
K=safet yfactorofstabilit ya g ainstslidin gcalculatedb y
slidin gfrictionformula;
3 1 1