Q# 1 (5 min, max 3pts.)

GEoENGl NEERlNG-FOUNDAT|oNS (CEB 007361 L)

Final Evaluation Test Cffi (15 min, max 7pts.)

C#2 (10 min, max 4pts.) CśO,wl+

Q# 1 (5 min, max 3pts.)

Q#2 (5 min, max 3pts.) Student'sname: ą"' , YVż,ffi

Q#3 (5 mirr, max 3pts.) Student's lD number: ął łę(

TOTAL (40 min, max 20pts.) FINAL SCORE:

Attention: note that completely wrong answer may by evaluated with negative points

calculation Job #]: Infinite foundation beam is considered for

-oo<Ę<foo. The Winkler constant C _[kNl^'] is given, as well as all parameters of the beam.

The vertical force Po loads the section Ę: ^{0 where a perfect hinge is}

assumed. As usually,Ę: xlLw:xl @

Draw probable plots of the solutions/(Ę), M(Ę), QG) ^for _oo<Ę<*oo.

By making use of a known boundary condition at Ę: ^0*0,

find a constant,S in the solutiony(Ę) which certainly depends on Po

y(Ę) ₌ S,e-Ę, cosĘ, where _{Ę >} 0

Use the Eul utęr-5ernoutll assum

f(Ę) e-Ę.cosĘ

dfldĘ -e-Ę,sinĘ - e-Ę,cosĘ dzfl dĘ2 Ze-Ę.sinĘ Y

d3f/dĘ3 ll

tion and t

] r-t"rrL,*Ąń ^hŁ

_-]

0 + 2,-{?,Ą0) = ^-P' ln

0

t

El

=(

= ,)=

:1

|+(

0t

- Ę

t

,0

,[l

)

M/

&

(ą' 1 ł

) l{

t ^NotĄ = ^{-- El} ,br,+, ( ^T.*sI,) _{,,l =} ^-Pol,-

v

7-

Calculation Job #2: for a cohesionless soil, the GEO-condition (bearing capacity) for a foundation beam has the following form: Rę: B.[q'.No+ %.y'.B.\] in kN/m or simply _Qt= q'.No+ %.T'.B.N, in kpa, if qt: Rł/B is taken.

Of course, thę foundation is "very long" (B/L=0), horizontal and loaded only by a vertical force.

Using the relevant Prandtl wedge and the method of corresponding states of stresses

deriveamoregeneralexpressionforcohesivesoils: qt:c.N.+Q'.NqtYz.yr.B.Nr,whereN.:ctgg.(Nq-1).

Present the situation in a figure.

6b ^ź 0,WlĄJ,r,r_ _"s ł ,r*h-yn*Ąr,a*Ll:Ń

P) M ^Bo {/łłł- fl |ł^^lp4fu 4NułĄ^yłlajL I*,L ł

ł!Ą tsł *łrul- li -^ilrr, Ńt; ^{L q,łLnqrą [k lufu'unł)}

*a ^4_ r. ^{I)- ł- L'}

vugsllon trI

J mln, max JptS.l

Infinitely long vertical pile is perfectly fixed in a rigid covering cap which can move onl}z horizontally under the action of a

horizontal force H.

,ą ^{Draw probable plots} of the solutions y(Ę), M(Ę), QG) for 0 . _Ę < *oo. i.e. along the pile.

Question ^#2:

Draw a shape of th sure eB(Z) [kPa] along the wall surface A-B-C i backfill is composed of two different non-cohesive soils. There is a uniform continuous loadin g q on the ground level, the wall surface ^{and the} two soils have different friction angles _9r ^>

Pay special attention to proportions between e, values in soils v.

one? (assume _{ltJ^r_t} 2D case for simplicity, present ręlevant dr ings). Ęlrrs a*

Y :f?;kdĘ7...

lzo