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Geotech 2 practice problems 1. A fricti frictionl onless ess wall wall of height height 6m and a backfi backfill ll of cohesionl cohesionless ess soil. soil. The ground ground water table is at a depth of 3m from the ground surface and the backfill is supporting a surcharge of 10 kNm2. !nit weight of backfill is 1".6 kNm 3 and has a saturated unit weight of 1#." kNm3. Angle of friction of 32. a. $ompute $ompute the the total total passi%e passi%e lateral lateral force force acting acting on the the wall wall b. $ompute the location of the resultant force c. $ompute $ompute the the moment moment creat created ed b& the resu resulta ltant nt force force 2. A retaini retaining ng wall has a height height of 'm. (t is is sub)ected sub)ected to a uniforml& uniforml& distrib distributed uted surcharge surcharge of 2 12 kNm at the top of the hori*ontal backfill ha%ing a unit weight and a saturated unit weight e+ual to 16." kNm3 and 1#.62 kNm3 respecti%el respecti%el&. &. Angle Angle of friction friction is 20. Groundwater table is located 3m below the ground surface. a. $ompute $ompute the the total total lateral lateral acti%e force acting acting on the the wall wall b. $ompute the location of the resultant force c. $ompute $ompute the the moment moment creat created ed b& the resu resulta ltant nt force force 3. A %ertic %ertical al retaini retaining ng wall has a height height of "."m. (t support supportss a soft soft backfill backfill with with a unit unit 3 2 weight of 1"." kNm and has a cohesion of 16.6 kNm . The angle of friction is 0. a. ,eterm ,etermine ine the depth depth of the the tens tensile ile crack crack b. ,etermine the lateral force before tensile crack occurred c. ,eterm ,etermine ine the the force force after after tensile tensile crack crack occurr occurred. ed. -. A fricti frictionl onless ess %ertic %ertical al retaini retaining ng wall has a height height of 6m. The backfill backfill is slopin sloping g at an 3 angle of 10 from the hori*ontal. The unit weight of soil is 16 kNm with an angle of internal friction of 20. The soil is cohesionless. a. $ompute $ompute the the rankine rankine acti%e acti%e press pressure ure coeff coeffici icient ent b. $ompute the rankine acti%e force on the retaining wall c. $ompute $ompute the momen momentt due to this this acti acti%e %e forc forcee ". A 6m high retai retaini ning ng wall is to suppor supportt a soil soil with with a unit unit weigh weightt of 1.1.- kNm kNm3/ soil friction angle of 26 degrees and cohesion of 1-.36 kNm2. a. ,etermine ,etermine the the rankine rankine acti%e acti%e force per unit unit length length before before the tensile tensile crack crack b. ,etermine the rankine acti%e force per unit length after the tensile crack c. ,etermine ,etermine the the location location of the the acti%e acti%e force force after the tensile tensile crack crack occurs occurs 6. A retai retainin ning g wall is #m high. high. The soil soil is sand& sand& loam of densi densit& t& 1." gm gm3. (t shows a cohesion of 13 kNm2 and an angle of friction of 20 degrees. The upper surface of the fill is hori*ontal. a. $omp $omput utee the the depth depth of of the the crac crack k b. $ompute the total acti%e force per unit length c. $ompute $ompute the resulti resulting ng acti%e acti%e force before before cracking cracking if if the water water table table is 3m abo%e abo%e the 3 bottom of the wall. aturated unit weight is 2 gm . . (f the retaining retaining wall wall shown shown is restrained restrained from from mo%ing/ mo%ing/ what will will be the lateral lateral force force per unit length of the wall !se angle of friction 26 degrees.
#. A %ertical retaining wall 6m high is supporting a hori*ontal backfill ha%ing a unit weight of 16." kNm3 and saturated unit weight of 1' kNm3. Angle of friction is 30 degrees. Ground water table is 3m below the ground. a. ,etermine the force per unit length at rest b. ,etermine the location of the resultant force c. ,etermine the force per unit length if it carries a surcharge of "0 k4a '. A %ertical retaining wall 6m high retains a soil ha%ing the ff. properties. !nit weight of cohesionless soil 1'.2 kNm3/ angle of friction 30 degrees. The ground surface behind the wall is inclined at a slope of 3 hori*ontal to 1 %ertical and the wall has mo%ed outward. a. $ompute the acti%e force b. $ompute the %ertical and hori*ontal component of the force c. $ompute the moment due to this acti%e force