EN:

a$)$ Determine active lateral soil pressure affecting the retaining wall according to the Coulomb wedge theory

b$)$ If the factor of safety $($Fs$)$ against overturning is $2,$ how many meters should be the length of the right$-$hand fingernail section $)=(.$

Note: Take the last two digits of your student number $[160205078]$ as the friction angle between the wall and the soil $({}^{\text{'}}$ wall$).$ Also ignore the passive resistance on the right side.

TR:

a$)$ Di$$er bilgileri $$ekilde verildi istinat duvar$$n$$ etkileyen aktif zemin bas$$nc$$n$$ Coulomb kama teorisine g$$re hesaplay$$n$$z$.$

b$)$ Devrilmeye kar$$ G$$ven kat say$$s$$n$$n $2$ olmas durumunda sa$$ taraftaki t$$rnak k$$sm$$n uzunlu$$u ka$$ metre olmalid$$r $)=(.$

Not: $$renci numaran$$z$$n son iki hanesini $[160205078]$ duvar ile zemin aras$$ndaki s$$rt$$nme a$$s$({}_{\text{D}\text{u}\text{v}\text{a}\text{r}}^{\text{'}})$ olarak al$$n$$z$.$ Ayr$$ca $$n taraftaki pasif direnci ihmal ediniz.

$P_a=\frac{1}{2}{K}_a{H}^2$

$K_a=\frac{co{s}^2({}^{\text{'}}-)}{co{s}^{2}cos({}^{\text{'}}+)[1+\sqrt[\phantom{2}]{\frac{sin({}^{\text{'}}+{}^{\text{'}})sin({}^{\text{'}}-)}{cos({}^{\text{'}}+)cos(-)}}{]}^2}$