(Two marks ouestions and ansrvers)
I{NIT-I
l.
State any four losses that can take place in prestressed concrete. (A.U: APR/IVIAY
2008,
MAY/JITNE 2m9, 2012)
/
/
For pretensiooing and post tensioning: F Elastic deformation of concrete F Relaxation of sfess in steel Y gffinkage of concrete ! Creep ofconcrete For post-tensioning only
)
Anchorage slip
2. What !s meant by post tensioning? 1.1.u. i'tovloEc 2009) Post tensioning is a method of prestressing in which t}re tendon is tensioned has hardened. ln this method the prestress is imparted to concrete by bearing'
of concrete
3. Why high strength concrete is necessary for prestressed concrete? (A.U. NOV/DEC
2012,
NOV/DEC 2009)
F To withstand high compressive stress due to prestress at early stages F To offer higher iesistance to tension, shear, bond and bearing. P To have lesser shrinkage effect. F To have higher modulus of, elasticity and smaller creep strength and thus rezulting in lesser loss
l-a ( 4,!trt"
of prestress.
:
two advantages of prestress€d concreteover reinforced concrete. (A,U. NOv/DEc
"ny zooo Yotz, rulvaunr
F F F ) >
The technique df prestressing eliminates cracking of concrete under all.stages of loadirrg, the entirc section ofthe structure take part in resisting the extemal load' (ln RCC only the portion of the concrete above the neutral axis is effective. Absence of cracks results in higher capacity of the structure to bear reversal of stress. impact, vibration and shock. The use of curved tendons and the pre compression of the concrete helps to resist shear.
The quantity of steel required for prestressing is above.l/3'd of that required for reinforced concrete though the steel for the former should have high tensile strength. Prestress concrete beams have usually low deflection.
(;,rName any four systems or methods of prestressing? (A.u. MAY/JUNE Pretensioning systems I.
IL.-
Abutment method
2013)
Post tensioning svstem
L Freyssinet system
t_ ., l
2. Lee-Mccall sYstem 3. Magnet-Blaton system 3.Mould method 4. Prescon sYstem 5. Baur-Lcohharat sYstem 6' Gifford Udall sYstem concrete? 1e'U' pretensioning concrete oYer post tensioned of advantages the are What 6. ureyLrunr zorz, UAY/JUNE 2009) 2. Strut method
.
;r1c6;ffii6NrNG ING Suitable for large Suitable Ior mass Presuuuv, of small and r49iliu4 gn![.- construction Little or more
}D
ASPECT -:-...------.---
l. SuitabilitY ? Transoortahon l. End encno4g"s4 G,routing 5.
tnss of Preqllregr
^^--::^--l,Io
UntY serr wsrBul vau
6. Dead load counter action
L^ ew
Only stragnt or
cJool(cu
--^{:lyrvurv Reusable several times
8. Formwork or moulds
Any curved Profile feasible
Forms generallY
only
once
of a Prestressed
MAY/JI I{E 2012' 2or0)
:
used
Modest
High
invesment
ffi
dead loadi can be counteracted
^^,.-iara.ta.l
?. Cable Profile
9. Capital
Required Required
renrrired Nnt renrrired
]r.Tnt
--=.-
m-srre
concrete? (A-U.
the structure by primarily balancing a portion of the load on and ii'J;'ff"' "pptpriate ' to the moments due to dead weight
L,oad balancing concept is
choosing the proper prof'te applie
ioads.
flr
S.Whatlossduetoelasticshorteningcanbeignoretiforposttensionedbeam?.^ the loss due to elastic deformation is tensioned' simultaneously are wires the If all compared to that of post tensioned au. to creep is more for pretensioned beam
ffilo*,
member? (n-u. ePwMAY 2oro) creep than post tensioned pretensioned members have large magnitude of loss due to member' take"s placJ earlier in pretensioned over, as Eansfer of p,",*"" ot"Afy used in pre tensioning works? 10. Why is smaller diameter rvires
Theultimatetensilestrengthofwiresvarieswithitsdiameter.Thetensilestrength
AecreJ -ittt
fill \'/
increases in the diameter of wires'
concrete? tensile steel is used in the prestressed \ryhat are the three forms in which high High tensile steel wires
) ) >
Cables
Strads 2
t
"*ffi**
2,
o a
(A'u' MAY/JUNE 2009) Why high tensile steel is essential for prestressed concrete? to 240 N/nrm2 and it is apparent The normal loss of stress in steel is generally aboul 100 stress, the sg.ess in steel in the initial that ifthis toss of stress is to n" .*"li po6"on of thc initial ^ ranges are possible onlv ;ery hiCh, about 1200 to'2000 N/mm2. These high stiess ;;;;;;rG with the use ofhigh strength steel of steel? (A'U' Nov/DEc 2010) 13. What is meant by loss of prestress'due to relaxation 12.
Therelaxationofprestressingsteel,definedasthereductionbfstressunderconstant strain, is due to creeP. 2009) What is meant by pretensioning? (A'u' Nov/DEc 2011' Nov/DEc before the-co-ncrete A method of pr-estressing concrete in which the tendons are tensioned between steel and bond by is imparted to conqete is placed. In this method, ti ;;;t 14.
concrete.
the principle of prestressing? (A-u' Nov/DEc 20rr) ' suitable The basic principle of presiressing is to produce bV 11Y 1:1"^t:^::T"i"n' whose tinsile stresses would occur, when' comoressive stressed in ,ff tn.r"'p*tr ut tt! .on"r"i" the extemal load i.e. dead and live loads are applied'
@Mention
and post tensioned woiks? What are grades of concrete to beused pre tensioned of 400 Mpa for The Indian code of practice suggests a minimum cube strength pretensioned and 300 Mpa for post tensioned system' (A'u' Nov/DEc 2009'2010) (A'u' APR/MAY 2010) 17. What is meant by pressure or thrust line? 16.
Atarrysectionofabeam,thecombinedeffectoftheprestressingforceandlheextemally into a single will result in a distribution of concrete stresse; that can be resolved called the -ri"l""r, or structure is or tr," poi.t.'oi upprication of this force in any beam Iii". 'pressure line'. moment on the pressure line? 18. What is the effect of increase in external O"'* A change in the extemal moments in the elastic ryC: of pT-t":T^"-d^^":":'-t:t:, torce ln the Dezrm. ,"rrlt. in ,rhidofthe pressure line rather than in an increase in the resultant pretensioned member compared to post f 9. Why loss due to shrinkage is mbre for tensioned member? (A-u. Nov/DEc 2010) applied load
Inthiscaseofpretensionedmembers,generallymoistcuringisresortedtoinorderto strain will
Cooi"queoily, t],e total residual shrinkage p'"st"'* in comparison with post tensioned be larger in pretensioned *"-b",, after transfer oi taken place by the time of transfer of *ffl ut'e members, where a portion "lieaay "i'.fu,ug"
p."r"nftr-irt ug",",1'*r" ti*"
oi
tr-rr"..
prestress.
20. What is meant by dxternal prestressing?
A member can be external Prestressing.
h*-
prestressed by extemal reaction ofiered
by rigid abutments is called
I!-Ita
b neant by loss of prestress due to slip in the anchorage?
*,rdoraselossesoccurduetoslipofwiresduringarrchorageorduetostrainat oi post tension.d system.
-I-;';;;
Such slips occur at both the jacking end and the
-d-inrage. ', Ia ofsaess due to anchorage slip = E, x strain / length' buded prestressed concrete and non-bonded prestressed concrete' pressed concrete: confiete in which prestress is. imparted to concrete through H ht8 Ae tendons and surrounding concrete. Pre tensioned members belong to this
ILl
A method of construction in which the tendon are not bonded concrete. ffr" t*ab"t may be placed in ducts fomred in the concrete
pcs*ressed concreie:
-;dngbe placed outside the concrete section. fl you improve the shear resistance of concrete D thircoral
beam using prestressing
or axial prestressing
> k*essing by inclined or sloping cable D Yrrtical or transverse prestressing
-
E tors which influence the
deflection of prestressing concrete beams. (a.u'
D Iryoced load and self weight D urgnitude of the presressing force D fre profile D Sr.o'rl moment or area of cross section D Hus of elasticity of concrete D 5tage, creep and relaxation of steel stress D $ dtte member. cable?
ft f t
(au. Nov/DEc 2orl)
cable is a tendon profile in which the eccentricity is proportional at all bcnding moment caused by any loading on a rigidly supported statically' or a profrle which does not induce any redundant reactions and hence
eficcting shrinkage of concrete? (A.U- NoviDEc
-d
quality
2010)
a
27. What is meant by loss of prestress?
The effective prestess in concrete undergoes a gradual reduction with time from the stages of transfer due to various causes..This is generally refened to as loss ofprestress. 28. What are the assumptions made in analysis of stresses in prestress concrete structural element? 1. Concrete is a homogeneous elastic material
2. Within the range ofworking stresses, both concrete and still behave elaltically. 3. A plane before after bending. 4. Linear strain distribution across the depth ofthe member.
rare the two methods to calculate @Wn \-/
loss due to creep of concrete? (A.u. NovlDEc 2010)
Ultimate creep strain method . 2. Creep coefficient method. 1.
30. What are the factors affecting creep coelficient? (A.U. NOv/DEc 2010) 1.
Humidity
2. Concrete quality 3. Duration of applied loading 4. Age ofthe concrete when loaded. 31. What is meant by
'wobble' or 'waves'? The loss oflstress due to friction between the cables and undulations in the duct termed 'wobble' or 'waves'.
as
32. Define prestressed concrete. (A.U. MAY/JUNE 2002, Nov/DEC 2009)
Prestressed concrete is basically concrete in which intemal stresses of a suitable magnitude and distribution are introduced so that the stresses resulting from extemal loads are counteracted to a desired degree. 33,
Differentiate reinforced' concrete and prestressed-concrete.
ln RCC members, the prestress is commonly introduced by tensioning the steel reinforcement. The tensile strength of plain concrete is only a fraction of its compressive strength and the problem of it being defrcient in tensile strength appears to have been the driving factor in the development of the composite material known as reinforced concrete Prestressed concrete is basically concrete in which intemal stresses of a suitable magnitude and distribution are introduced so that the stresses resulting &om extemal loads are counteracted to a desired degree. 34.
Write some need for high strength steel ard concrete material. (4.u, Nov/DEc 2orl)
l. Necessity ofusing high-strength steel and concrete 2. Recognition of losses of prestress due to various causes.
35. Define the terms: a) Ten'don, b) Anchorage, c)
Full prestressing, d) Partial prestressing
A sfretched element used in a concrete member of $rucnre to impart
d"*iJfy,
0.".L*
to lhe concrete-
frign ,ensile steel wires, bars cables or strands are used as tendons'
b)ANCHORAGE prestress in the concrete''
A device generally used to enable .the tendon to impart the maintain rr'""o*,o,ontyusedun"ho,ug"saretheFreyssinet,MaglelBlaton,Gifford-Udall,Leonhardt. Baur, LeeMcCall, Dywidag, Roebling, and BBRV systems' c)
FULL PRESTRESSING
prestressed concrete in which tensile stresses in the concrete are entirely obviated at working loads by having sufiiciently high presbess in-the members' d) LIMITED OR PARTIAL PRESTRESSING (A.U. NOV/DEC
2OO9}.
Thedegreeofprestressappliedtoconcreteinwhichtensilestressestoalimiteddegpeare perrnitted in concrete under working loads. 36. Define
ixial prestressing.
compressive prestress' In Members in which the entire cross-section of concrete has a uniform the concrete section. thi" typ" ofp.".t essing, the centroid, ofthe tendons coincides with that of 37. Define eccentric
prestressing.
section at which the tendons are eccentric trapezoidal compressive stress distribution'
A
:
to the centroid, resulting in a triangular or
38. Define Non-distortional prestressing' stress is such that ln this type, the combined effect of the degre" of p.estr"ss and the deadweight due to tte a"nection of the axis of the membei is preverted. In such cases, the moments in the member' prestress and deadweight exactly balance resulting only in an axial force
triaxial prestressing? where concrete is prestressed (i) in only one direction, (ii) in two
39. What is meant by Uniaxial, biaxial and
The terms refer to the cases *,rtuutty p"tp"naicular directions and (iii) in three mutually perpendicular directions' 40. Define circular Prestressing The term refers to prestressing in round members, such as tanks and pipes'
41. What is meent by moderate Prestressing?
form of No limit is imposed rpon the magnitude of the tensile stesses at working loads. This concrete with construction is not really protroin concrete but is to be regarded as reinforced of reinforced reduced cracking and tte sectioos should be analyzed according to the rules concrete.
42. Deline
or untensioned reinforcement,
Reinforcement in prestressed members not tensioned with respect to the surrounding concrete before the application of loads, these are gcncrally uscd in partial prestressed members. 43. Define the terms: Transmission length, cracking Ioad.
The length of the bond anchorage of the prestressing wire ftom the end of a pretensioned member to the point
offull
steel stress is called as transmission length.
The load on the structural elernent corresponding to the load. 44. What is meant by
frst visible crack is known
as cracking
proof stress?
The tensile stress in steel which produces a residual strain ctf 0.2 % ofthe original gauge length on unloading. 45, Define cap cable.
A short curved tendon arranged at the interior supports of a continuous beam. The anchors are the compressiori zone, while the curv6d portioh is in the tensile zone. 46,
in
Write the definition about degree of prestressing.
measure of the magrritude of the prestressing force related to the resultant stress occurring in the structural member at working load.
A
47. Define Debonding. (A.u. Nov/DEc 200E) Prevention of bond between the steel wire and the surrounding concrete is known as debonding. 48. Write some applications of prestressed concrete.
The use of prestressed concrete has revolutionized the entire building industry in the erst while USSR, USA, UK, Japan and the continent. Some of the applications are thirteen storey apartnent building with precast post-tensioned in slab conskuction, 203mm thick light weight concrete slabs of 8-6 m span in San Francisco. 49, Mention some tensioning devices used in prestressed concrete.
/ / / / 50.
Mechanical
Hydraulic Electrical Chemical
Write thq principles of post-tensioning.
)
Wedge action producing the tendons
. ts Direct bearing from rivet or bolt heads formed at the end of the wires D Looping the wires arorind the concrete.
I&,,
't I
51. Write the applications of post tensioning. post tdnsioning is ideally suited for medium to long span in-situ work where the tensioning cost is only a small proportion of the cost ofthe whole job.
5L Define the term Tendon splices. (A.u. MAY/JUNE 2002,2003) In case of continuous prestressed concrete members involving long tendons, it is necessary t0 splice the tendons to achieve continuity. Several types of splices have been developed over the yiuts to t it th" dif[erent types of wiies and stands used as tendons. 53.
Briefly explain thermo elastic prestressing. 1e.u. ernnr'rAY
2008, MAY/JUNE 2002)
of prestressing by heat tendons, achieved by passing an electric current in the hightensile wires, ii generally ieferred to as 'thermo-electric prestressing'. The process consists of elecrically heatirig the bars to a temperanre of 3004000 c.
The method
54.
Explain Hoyer,s effect in prestressed concrete, (A,U. MAY/JIiNE
2009, NOViDEC 2010)
For mass production of pretensioned elem'ents, the long-line process developed by Hoyer is genaally used in a factory- In this method, the tendons are stretched betweeft tlvo bulk heads' several hundred meters apart so that a number of similar units may be cast along the same goup of tensioned wires. The wires or skands wher teosioned hydraulic jacks or by a move able stressing'machine. 55.
Explain Gifford-Udall system
The Gifford-Udall system developed cone anchorages
in UK consists of steel split-cone and cylindrical female
to house the high-tensile wires bearing against Steel plates.
56. Exptain the concept about
Lee+kCaD systeur and l\fiagnel-Blaton.
(A.U. MAY/JUNE 200q
In the Lee-McCall system the tendons comprise high-tensile bars of diameter varying from 1240 mm which are threaded at the ods ASer tensioning bach bar is anchored by screwing a nut and washer tightly against the eod plares-
post-tmiooirg syse.m adopts metallic sandwich plaJes, flat wedges, and a plate for ancbodng &e wfu€s. Each sandwich plate can house upto four pairs of distribution The Magrcl-Blaton
wircs. 57. Define the
term chemi,I prcstressing. (A.u. Nov/DEc
demi:al
2009)
of concrete was made possible by the development of Setf-stessing or consists of 75% Portland cement, 150 high alumina expanding c€ments- Erga@ cement md I (FZ gpm, rhich resrlt in the formation of, caicium sulpho aluminate.
ml
fm frors iLaciry d.flectiotrs. (A.u. NovlDEc 2011) members are influenced by the following The deflectioos of,prtsrnd m* 1. Imposed loed d sf ciiE 2. ivlapitude of thc pt*tsig 6rce 58.
List any
3. Cable
profile
4. Second
romear of rte of crrc section 8
salient factors:
I
bmPrzr,tlt^,
Uni.forn
atrcAl "0,t p ecen+i
fc
l cls
-{,*
-[*
-
=
P?C
7r
z,
L-r" .Lb
Tiq. .thot.rt
a-
tonc.tcte
fon T
/ulrttfa+tr'y AL
I i
ts"
an . eccLnu-ici
Z a. 1
b, mymftuae
a'/L
P Joca*a
7"
zt
*t/,,
c/s
. 1l ue-ss
*rL 'b
dit'tibu*ion,
,12
/rur.
dut
L -'Pn zt
lJ
1,,7-*rL Z6
to
Dt
st:s
L.t-
oecLnttfe
to
Mq -1 t-* Zt
H" I zr,
+Yz*b'l zr,ol
Yz. Z6
.
t^,t.t/
z-b
s br-rt
Wrx-ry".*l .P.etuit
ant
Sea.t
fia:tnurry, DL f
LL.
.
ecu nlrfaidJ
E ht
xN,/n
.
?ttu*ont 4ff-ta d-i*ia,ution Clntte -
t- lP"n
duuity: b)
r
ina
y'Ln
-e.
@nctuf?
v fr, aJ.
man,nftaae
'Hre
.
q 4omnL d ta ,hL q LL
b-tam'
2q
d
ut
;'ee.b'ont
/<
au4urniY
frg
Lh,
N/6J.
e/ W
PrLut'r'ar|r7
aa H,,./
.n
uf,t*.
4uru
trtiich ..can ba/anu
ctl-n'*7u'ta)
,ltt-ta rf pon
g/-.
e(3
4nr
a44/'t e/
g.e LrnJr.a
-
GttvEN.,-
b z loomm ) J" z5omrn LL , 1.2 kN/tfl :
i 7.2Sorru
/= ei kNhtus ) e-- 40 ti.trtai L=
Jotator:(i)
c1s -d*-a = zt toiTzuamnz =
.4 = /zg- a4.
25
xiot
mm
tr A.l,rrl= 3. ? = 0'6
-t ot a.l
loqd
tN,tm
: l/t-- A+ V = o.6+ Ur= l-g ll
TL
) e=+omm
t.2_
kN/D.,
g.O ttt
!
;,
lpan 4o-tl-ion, M - E!-' a
(iii)
rl
LLLL
,a
2'
Se
f,l
du.t
?xotrt,
e t+.+
)-oqdA
l- 9X&'
kNm
-t1
l4-ttxtol
z
I'a4
2a
N,
164m.-y'
.
15.e Nlnnu
a* tcp anct bottom
[2,?"/=J=t:=::-!,D,. l_ s-5
!2l;ox
x ro3
t,lN
y +o rrlA-l
r,o+ t nL
I
nfizJ
IVD ?Aut-tant,.-ltt-ut @
*op = to-1-6 +]3.g
@ buom
P
--
to + 9.6 -)J. a
= Pxttlu.uirytat
-to4.rg-t,
+tu ..:
l4'z
tl2
P-tlbxnoSN
5'8
drorcz
N)nm L
f comprztionJ
L ^//nm fcomp r:,ut;onJ
o-? b to ba-lonb
b-,tn
Lltrta , ot*- ha i e
t[t,," *7#;rJ=+;# + F" *t*l
in
-Arc l2nJtr-ut lhe '
,J
at
tr-u,{ot
irt-
Ove+ trnPazd
cotucx-Lte '
Tn"
A
at . .84D N/rnm',
€Etrtme' Aibr., '*zc
u-fren
Ourz uti uo ht
-8+e.el
z*te
,,EPafl ,.!t c*i On
6 Rru/m i,
fre
b-o-am &
..sPerL q e fa.!.ua-te
)
tr
JLru)V
6m" the
Can
Cs.Leu-lo4e
ry 4he nl
4 /'r7a y
u{Ee
.
mid -
fxr
61 u
u 24
kNy'n3,
&ryEN'..
br Socrrl . ;
{
= z1 ru7.'
d.locm ; S*st,e-.= g4o /_r. ; u*= 6 t
no,t.
ad Fmm
/* f.l Dit a*u
*
tnt-
6m
(rttt?Did
/ ; s noz. edr F-mm
/.
------4 d
Qs, es) * (t
x
f.too_e.5J1
t9
I I
)
E
cuntri
6 ty
,
e
/qo
3ao
fi: t"
lY:it
!"! [: ] i. ,'
4..-
t2,
- lao - lro - too . io mm
4s,
, 9f = 3oo x &oo 6
dr*ion
vtoi
mm
Hbaulu , Z = t
T
3oo
!
' lSamm
3. 4rxtoTmm/' tsD
ryl -:zt f 26
bxclr(9;
Q,3
^
o,z x
e-4
:
; lhq
RN/m
J
b)
1'L' Hotnent
vi) pfrt*
Vi)
-- M?.
I
ut h9
..-ltfi).t
BLr,a;T
u/-LL
Aturr
dw-
I
z
?
y'Uuttru-r't
I
@
,z
4rl./
uAilhr n-
,-dtu.tt
, M, - 6-hl z 7
/AcrJb ,
tS
-
Ht
N7r*nz-
x to
'attb N/^n-
-zZ x tal
z
ry
g:a; .--::i
Zil tol x q;oam 3 x tob n^3
3 xtob
I live - Lootd
6 I to*mme-
D re-
7" t :g z
Vtr)
3xto7,r1
3x tob
=
7
N/^,'
#.,
i 6o., e.Y
-, Joomm uiae f
*4ge
JttafD
) loomm t iae
4l/ang e
boxton
#t
W)Ldl] JtptA ? c)-ntre V the s/raD, &e
uttb'9ommr'
d+ #e
o
Pr.utrtai,V 4brct f ghont 'b\e 3tt'-trltt
a,t
oo
I
#,c cznt're ry lollouirV / oc,d
*he &r a) Pluntrz/, *5efl
Ltt.
b-zzt tm
S/ta
€.Afetli
n -{t t'h'o n
Condf U'o ru
,
tze
,D
rDD1.
E9*''/7tdl'e l*
;
'22 .
b-Pam = 4oomm.
/oa-eU.ea a.t
XN b
-lf'e
-so.P*;t
6otn21
f
V
'La
e
a
b<'a m
:
,
&tv ett:
2t = ,*r,
?= too KN
e:fomn 3eo mh ,n
-tu SoLUTtoN: .-,
D
d*-
I
Somm
= =
st,
r 4o +"1.
(aoix
6,o1
F:i;;a ft)9itarut t
':l i! .:
-lI
t [ €oxacq 7 ttoor go] -
h unxr.oid)
/r*, tuP t .f :i
eomn
- 1" q'!, +
J= f.*ox6o),[?-t&JJ n
1ro
=
zkN/m
" 16=ft-B 8^'
Y aa ?'- + o, 4r
6on"a
'--4
y.
*a. ;q,
*"roS*p +6ol I
:l
r
looo x to1
L
haroo
v=
#,n,
* j|r^,o, o 4b4oo
t8o
y1s
3
A++.*zam
a#-r+"* fl2
Q
43.1 w z+
+ tno)
aq
rn
-Z,tr
- f urt -11;
*
-ff gou tota tsoox5ps ,.
n,'ol *
*
Eou-
t!*r+"ll"l *
L#
ioox
4
Is
,ur_
t"? rrlJ"l
t \
to3
r (toox6o)
L-; 21 t-l bS xtol
lz
*r
f ,o*,,o, + ,(soxz?o)^f f
bas
^
[.,nr
1-To x t oo.+ z1 1.g *.ro
t*]l.l
6
7rg x,o6 mm*
2
= 7r-a xtFma
fv) Sun"ort
Mod
7
ultt , ZL -
15-txto l mm*
a,
d
Za-
.7 _' ar_*xro7 ppt
a
Zb - 3to xtot^m)
,+
t56
?t.t
-
1^
4€6- xtdmrJ
-- I to vtot mr)
l,.txlL i
&tr u-7"
E
L. l.lLx I
.
3
l"t2
6t+
o*^,,'
= g. 1b rN'Ll
YtY "
I'*J
-
xlL
zx 8L ,
n-.
^ (4 toP 'fi bre
CN/mmL)
?reaErc ss
tooX to3
7 A
46400
- z.l5 e zv
q35 x to+
, -4,o Sell utt' -gtrut
t-t
E
8-1L ,r&
Zy
-
L.L' Swrt
t N/mmL )
?
toox
A
oj
t
4b+oo
= 2.15
loo x ro3r ,qr.
7
@3Y*"rnah*t e
nt5 xto+ l- 9+,
M9.
I bxtob
Zt
1?5 xto'
?e 't'b
,oor,13x l?y
l;rox lo+
= 6.2" g."tb , Mq,- M x rob ------.9' -, zb 3to x to{. :
. **t-r-q Nw -Zb
t.
lbtto' alcxle'
StfiLt
?zuaty.*a
4. A
ula*
&eota^St
6oo
mm
HvsD
+ 6,N
ir
loo xl5^t,
Cr
?
h-a_o,
*lfie
lll ha4-
e.fle
g -he
6
s 4v
'tr't
ve .9trsn
rnar
Solr<"
Nirer
(aw
' b'la +h'}t
l+mn t
g-
t
ln - te
uimor* ttttttiry-
A.h+t lfed -b 4,e Sz*ior
ar -lhe 3oJ./ir
. mto.na bq () <-)
c+4
,;, tfre
unde q
,
-hon,
2 oomrn
+ o.35 il/rn-t.
p So mm.
rrt
y'.xutrtuea
/ocate"t
ba r-s
beam. -Il
&e
+L,L
Con
l-t-op ,
,
u
ba
{:eru f or
bt-an !
tvrrt.'
oo N/mnL' b ,25omm- ,' d " 6oomm ; 9w)24 '6 " 4 at h ho,4 t'ez 2oomm J-'1 orn bottorr'--' "d rd, lumrn ', € a
'
IOO tOrn
Sot-unou; iS At-o
= 9l - z|o ^ 600 = l5xtol ,n--
ib .lz,*f on tt
Hod LLILw
4xva-L
t)
4
frS lr) c1
P E.ltcoo M T ' = i5 xto4 -
vir
,6
M,
r. 1t.
- 4, vxr4L = + tr-ut y /rtq. =
'
zz=9!-'"25oxbooL_ 6 6
z,ilV N/wrnL
15, ,ob
^.!
6t6 mmL
+oo x 6, t = 4stzoo N i
f
e
+3 l2-ouN x toomrh
z.=----:--
xtob mm\ ?st ttrta . 2-37 + 2.3 + . 5.7t+ lmmL
,=:-i-t Pl =
15
5'r+ Xl5 lroo 4
t7 N/ - a.-------:rn*
F:a;"r-xNq
gbr
tuu-aatu, ,d
dte b"tt
^.
s/
bLto,{L 4ribre Gvep
Jorct
dlu
Strtlttt
roft', dqqft
oo
nulLp a,
woultt
loaafn*. I
b
t
b=-sooinn: d,36o*-,
= .d
J. &m)
.4KN/,yz;9=z+x^r7;
. Laox?oo = |stlotmm\
Ptodulu.r, Zo Zt = bd." _ Le,\BooL "
I
.hlt
uA"r/A*, X
- bxarf .
it) 5.tt. du<- +e gL z
.;.-l L
o,2
l-u T-z-tzti
t€ LL = t^tLL
den
le
7
.J
-- 3xtobmrnS
2 l. ++
o.3 X ,4
^
l'++x6L a
v1
/
-!.ae-oaea
he b-a.o*t uJfli(fu
e
g-z-am b
t-trfien the
/autratir|t
ze)
4.o x I L .--__-}
6,4
KN/r^._
e kN,*
!9 KNm
.
Y
tt-ttt @ brt-to* 4fi'b' 1 ,
Mg *
L4
gr
Z.
- &.+s+tyro6 <----
3 xtob
6= 8.tb
N
tb)
1
,-
. .-.'
f*
j.ora,
p - 8,!,1. g-3J.'*
,
te'f
.l
v btam" zfie co n cLntPi ceLl*
bX
rn
/ir.
; ur--
i t= 6m;P=)soKtL
4KN),m
.9otuTtou: .
il -ilr*-o , -d - lzoy3oo = J jxro?mtrlL iD .le.t&en r.todtLlur z , = kf . lzoxVoo L.=
6 "-_-?
ifis 3"n @ u, 4ntta f dpar, ,t) .Dfrrc* gtr_zrt
= 4?
.{tr-ut = kl =
.
+' * 1!!-'= ttllg
L.t
x
teo*tol =-l;;T *'N/'*^
'
t 8x to6
tpy to,
lo A/t ^ = ____:y-
Vi). SttuLtant Ab:_*arr @ cznt7-e *
@top
=
?
,1
+tlz = a +15 .= lg-
@wn-= i-;7 - n
I gx ttorfsn*V
=
_!lz,n, 1,,
'/ t f*rnpr*"r"nJ
5-*/o s -tV--.
flzrutorJ
.
lo t^r'eapon4
f
ry-
\"7: N
N,Ne
A
z: - 'r
P= r't ' /9o kM.
B,u-t- N= lCoxtd ,t
- l, t rf hrrt
; tl . S6 rto3 rnmL 2' le - loo
JAm^-
.
rram
)
tf N/mm L
-ft"* Z
9ireei
f
BeraTrytStresc
Stress
N/mmL
?-uultant 3tr-ou
?ttuua
liru
ln -----@
0.e, 11
r bv:":: -"%-.1y1y"" !!y !:__lyr*y'! _@ (t ley/tuatr aou) tI(o.)a^ moa<.1 probkn:
Psc bnom q
Jaltfon- tzomrt
uJed ovel an
eAf
udl ry 4 kN/r-, b
aarrt n
fc
r.q
e
mr,'
'
-Dt-tei rni
4 )olo+ )a
nr
by
6rD
inclu.ltt tle
&rhfLh
a 4loru Pl /8o rt
fg
iparu y
t*iuc
tt'q-raea
.utnde
by
a
'Ete
)ooriilon A
:, l-t c'i on' 29
lotati on
?uarrcr {
n
ee.p fi
b oorm
.
a 7y'u
Cetble Ca-ntqf ry
an , eccentri ed
d
h, Suppor-t /,U uf.
S*c,r6 hl
g locatea' at
soom
+h'
ory *-
,L+\rt-uJt
Cantra.l
'Pav"
l'"n"
[irrEN:
:--.=P
Ic )2omm ; d = Aoo mh /, ez somrt- ..
?walt
,''%; '
ln
f-l d.ru-o z. l2q xTo l'5ro
ii) Jz&ion tt,) 8;H
=
HoctL!,L,u.r)
z E ';tL .--._-;-uor*]-4^ ,-v o \3ooL 3oo z I b
1
-
a
l?X toJ rnly; m?ri
I
Y'. ";*rtu-Erye 'v
it) Dfrz ot rJtr-t4 ? ,
A
.tT,.<-
H'*
Fi
Itoxp3,
z
,:i
go I )D l
=-;;;; *{fu, t
Uo
I.1
[::
Y) A,H @
$.-
r
cp
ntye =
F
N.!-v
!_
ix
s
ll
I
vf) B'H @ top
:
YiD futuhant
bt-
'i
rdtrsua A Ap
Tuuuoot -t*r-Ad @ -Boxtorn.
viiil
6,275,
ii
r
/rlltaLl4r /f"t
ri
?x) B.H @
XNm
- u
-,1
1 zottotn . zH - *-trxtrs loA// /nDLtgrtos = =
I
. /8
=
E'P P- -r- Ft A =: --:- = ,-f +)o.lo N/ -
*n
n
+
*-'*.
5*s-io.
:lrr!.llo)1 p31, z loOmrn
ut |uer.te. apan 4e67on n ZyLL _=_
. ,_x4x6L
o)_ " -="
t) A2rd?Z- rtfria 6 tuP f botlotn" /ssxtolN. 4i1
Rta
ul ant
,E
lr_ztt
@ tot.Z-?. , n
O l.t7r_t_
x
.
tt:Z
!!f
>- *: p S_s+l.s = 7,s N/mmL .t. @ bo+so 7n = 5 *, 7.f .2,, L = ^J/mm /.'/ 13 ' a x toL , xiD Shitt q lurlt.ttt I fti.o -- -i'--== a6 rnn
,H
Sotwtott,.-il Clrr-c,, d =
-z5o x3oo
= +Sxto3 mmL
fi) ,lzc*tan HduLA, g:^ = - Z
9.r",x
aoo L
. z:el ,tZf?
iit s'N @ unter, H? - rye _ !!"!rs.-----!. 1 4:
a-H@vua*etim7"ry= it)
5
trtns dut te lrartr*si ? Z - 54axto3 t/ A
Pe
54oxtd x 6or#
z
u)
o?5 r tor
3,ttu4 dua- b
AnL€lf-a
rYlq,
luazte+-
'> ily
=
L ,nrt^=
8*r'ttt sm --* - E:z-t!y
6
Cforar.
7-'?
l5to3 rr>m. '
= 6] kNn
lbo'
8.6 N/ryoz_
e2ter.racll -led,r. -
Er xto6
N/
s+s xrot iiJ_
-
l5- b,....N/-^.
,t.r*,ol Ny 3+Sr,or rrV{,
oC
-
.6.!_N/-,"
+
t-
l,f.oort*
J
): e
D d^^, d ,
(Jaoox tsoo)
ii) "fi+ autj,ht
,
t'
- Soomn
- Csoox thoo)
Ctaa
x
UnTt un-
- lo4o mm-x )4 ,-
I 7' (fiU n.o.Z -
,s tcutnl
Z.!!3 h-
F,:
L
9;
RNln,-
4ox,ot
ool I oo3\
-'
lPoo x t+oo3)
i
-*4
'. i
i
u) 4rN/
rylf 25 x 4oL
a.\.
a f"r
TI3. ,s 6rrrn.
Tbtoi
Moment ,
M-
'f =
vi) ltver \tiD
Shik
dr*, ^. + al-
=
Sooo + 2oo o
4ooo
f,,*
,et: &-e =
t?
aA-
-
,
:
I ooo mrn-
e .looo* goo =
N/mmu
Pet
7t
poomt^-
f * ?: {##r .X:fr
= 1.SC JF
Hr
loooxro3 NflL
/uu,auru ,ti
vi;i) lurlson* 6 truNo,
+
4++ xlob
. :, . .. -: :.:
.
],
]
t P*. b;d.q- deot comPr2Jom. Tne els q
a '])4
.
CaYry
of
aoi ru
fo't
otp|
2oo
rnm
iry? an
€-*f
ecti
l.o{Pit /i e* 8"
el
B'H
ma'a t'rq^'
ftal - fth-an 7{et*ion' Zf fic tota] Anffe -4 U
@)
Ettt-male *he *entre of .dPai y gfrae:' b Sboo KNm ' #u l<-.ttor* /Stzt*t clutlln@4 ab. Aw "Jettion- Luf rA'Couple- metaod' -bo fnternal td&dn9/tt
Il----r.f-/.I-- ---r----l
zt
&ryeu: .L. aon i
-*
t-zoohn
---------'--1---'
? = 6eo xlt
,.
r
uLc eboo ruluoonn t
iotuit ott;
ff,-e{. a,*a,{e, } Lr$
' fo? m!!t *-:......_,{
= ttzootz7o) * tzoa. YE?oo) t (5oo x+oo)
.l ,
6a
rtoi nz..
Jr"o*
I I
titY/tunt s
ultd
ef{eetiur r{pan y tom. Tne o
Catb
le
t
i tn
Z11O
Valgif to ,omm @ Afi, Cz-rtxp , Co."uriu an e lfeelf ut PSe /rora q 5oo Ka- FrrH -tr& magnTtu,t. Bt ge a.t *ro u_n*c el Aw #1a &tttr z- ef -Jpan tt diot. /4Fn ZFoIA' bnaix?oru CA
iar
rl {rc l-aad Count.n^*, +An funaf y e4feej ry +fit ls. ,Fqa q b) 4 -fr" /xttttt-te /fru y'oro- ArouX"l, Ar qr
I*Ft
ktt
tL tl drt .lzcfi on
gz-Ural .!)tad,
i+
LLnd
oL *.r,
ui*97 and
a*"on
oS ta,
rt-rultt"ttt.
&tveal:
6"
,iii
tsomm
,' d.3oomtn,'
.!-=
lom; e= Sohm ,.
P
" fiao kN ; e = l
:i
it, -^ot utt
ii;i
7)
o
u
,
dtua, ,l , tsomm x iootrrn = dfxto3_.,
il
il ff,l S"ns * ifi\6
Hodcoh.ot
t Z_, l,aL^ lSox 6 ---
,i
jpo2_
:
=
225 )( tofmm3
:!
': iii)- /iJ+ ttufq l.ut e/ it, fu,n'a L--"o *l* t,',, =dxf : o't5xo.JxL4 - t.orFN/,t. it ,..,r ^ :, '" ' )d tj'' incj-,'no.fron q -gu cabb b tfre horizon tal i, o, )i { & d-" (oncantra-&d 'Eqc' 2d (tE at ffie a (zn tre Y )Pan 6Por ' ii i; l-"a bahncing, Cal &'
zpgrn o =zparre=
9tloox ,ilooO
'o
- /D.kt/.
fgoox,o'^/ -t-_
L 4sxptnn"
6trlo @ bdha.ts,.Le
+
Soor rosx so7 ___.-l
Its
x
to*J
N/rrrmL
vi,t
z{pat1
-strez
. (&xto1 ,-.,2.f & 4
.fl,rg 7 .------- *,o{ / / L o^artot J
/,"ru
/tau Aaor"(
-d*uu @ = 22.)L
-fr.,-
L.p/aaL
.U^ Lotbtn glibre -= o,
,, :''::':":"' ,
t!
lr
.t ,
.1.
, ,
,
, t:
.,
I
il
rt.n7ut-n conatte h-zatrn- Soonn uLt1e f Soonm l) dpP ,,{ uPPort r il)re CDn tzntrdtect -/no& y a2 o kN ii dJ il ilt lalll ai fw Zra poirt*. y ct lpen Z 1-. il I il:t- a' a) SWAt a zlttitable abte /agli/e. q J*ut "runt ?r'y * 'I dl Ubte /uefte b toarnm. gar fr, bi,Ule 6.d porrTor. tie la4O't Stam , ealtulz're U- /l;
-ii d et n
tl-
r
;l
I
il
.
I
-tt i+t
bat-an
I
.!
,i)/oad,t !
:I
a #te
b-z
nafnq /t
e,/{e
c.( q
-lh
e
b) Vor -tnt rdame corbre fuik
Con
antt otte'l
t *nd Jlrn ?l{' fuo'
t L' ii
,16 &tyeN:
;l b" 3oomm; d, Soomh ) il, Je kN I l'' 1n SouDtoat
e z loanln
i
Dc.
z 24 Ki//m3,,
:
i2 i
ii/ ;tU d'r.*, d. soo.n * ;
--
I
if) i lt. !
goomn
Jteion HdutuJ, Z:
E_
..
2_+x tommL Joox gooL ..'--l'
t 32 x ro -mtn'
'
I! tt t )LaJ 't
9( frz-aVuoiaa| ab/e /uyi/e & .rt/ectel _ifn tt *u BtoD ,i ,, \a dut b #t tt/n conctntrded _bad; n tta/u-z.oiaq_0 ,% AA^l J
i
:
i
:i i
i, l
... p, &L. _ *Jla,.ry /.e u d-t ' -- ._sa' ._G = ,, . 600 . lTxN I t' / it) 6il/!- ou,,"yht , . o.s^ o.g te+ - S.7b s
r"* ud- trtomtnt, Ha =
l 1
v) -b*ndlnfl-
,.^.h .
d
.-f
tt--ttt - !
.?-_
ii
MornrtLt @
c-pn.h,e
ry" =
)*
u.
_
f,"Ja
---:-
kNm
ge.g-z x1o6
-a,I7;T_ - !:Z:_%^.
t- ,t-ead,t . 4./ - !"-? rf It
2r
ll:, l\=
6oo tet{
---=-3
"
!'I l'l
'
6o k
---1
N-lt
"'e'P
yii)
?-xutr-ad
f.y> Forct , Ffrtd : p.
.:
?. io+ ytoS N
% U-ryr".t^- cb Joomh w-ote by,'tuPPora ai LL gl g ru/tn .{pannt nq ove)*1e c,,ffeutw /uttt*-ttth **'3 &* eable hoviaa e4 ecaJ>t fc.6qL /
q dPan f
q Sonm Zonaanln'" @ *An dupporu
4ol7. /oadfy ton.tftioru . e,qe& V /tnttb.rt?n6, 2L 4o,
tft
in fie
tnfa-tpart
dbtc, b
rlecfiotw _
ilA/
nutr-trrtfea
Lrt u/*in*
b 5- -,, LL , 2l
_
-{z
-rot.uTt oN.:
D d-,,nn,
/i) icca"* Hdyhu , 2 . t!-" 6 -
toox boo 1
--- -:-- 1>
to
xrolra
3
;ii) &b cur2/ btam'fr = o'pto-6xt4
tr)
^r?atttr.tavry
4lora
I xgL ? -- 7t' . = g x o.. la ---o
.lt
;t
hrLz ?
ie"_Eg.
tb)
V) qotat -Loxl
beztn -. .2,ga * ?,oo H - /o,r" lcN/7,
.
:!
7r' ?
7e
B'H
ca
u/ .tpon -
CaDtre
H .
hlll 9
io,f9*gL - :---:_-_..:_?
ji l
for -au bottont
;
4ft*bre
Pu 2u A z
";
lzxlol
'-r,
Jtr-ua to *c
H
Px{o
87.o4y1s
/ 2 x tob
ltxob
I
ilr +lomm. fi' eS ukb .,.,,..
l
:
Sonll - lhe
b
lluttfalpra by a /taablic
bza
tn-
cabb uia't all
u e eLr"rlln'd
q l*omn @ uhtre--t-'sPrL f oaguPpora' tL orL tfu bzam fr "t.f FN/rw- c) D-Lkrmfru
9-
The'
=fr,
etfed ut dcerd in- V1, Cable 4lor bala neiV -t1, D L f LL elL t4" b-zorv,, 51 ea-Lad-afu frt 5&* E l)r-uru^r t"''
&ueu;
f =lrn;,, b . 25omm ) 4" t*So mm g- tSonm ) LL -- 2's X N/m 3o t-s71911; r:::+=<.
) 4A. a Somn qb 9_
I
,r\i-\
+'f
8o^,
a50
il -d-*-ot d - q, *qz- *c/s - (tsoxso) -t C, 89x2-1o)+ (27oxao) z J-o, oo4t + ag ,60 + po, o o o l-
ld , ii) Pt.u.\7,
bs,i
oo
*s"
't 80
--S€ )-
L ^^ l
? . a'Y, *qt!+*segt ,t
Q
,
t *q2
4-q'
,
f"uo* sil xH * ewlJ +
fn,nonp'* r^
r"]1 +
I
I J
| (zsor*oluroo r'l
{g=
t;-)
OJzOD
uu\,)
Y-\+5b
32
'J
,
fY)
.1, cti
on-
H odu-&,q
I
- =
l' f1a xoTn nf
o
7-
6.1 xtobrnm3
Nx-L" , Hqt u^4--=
v) B"H 6)
t"r+xgz
le.f 6 kMt*
d',
I'l
Total
p z. .8
Inx.-0L
2-eok s L i-= --
20 kNm
-
l-lorntrd, H =.tr t4g * Hs- r 12.56 *zo 32-f B Ki/m
vt
P= n
)-
3p,;b x tal
e
rfl,
- 2t7 ktJ
r--=-=--_
l?= "t+K^Jl L_..--.---./ vr
D
oLrzte
r -g/ - ) pqrl rlectiort
9-t+xbl N
D
632oo tnm o
^
virD 5hk*
Y /utt tttttu
?.xt t rrrn /;r-
aztu
aJ-
-#-
$..0_cLtu--
'/r*
- t4 7
bincidet.
3a-
s'b
4
,rl
2t+xto3
uJ1'.lt tfu
'^ l Sotnm
tpttt
"rTao-t
Ttte.
4pon
ufia"
-tlr-u
loctea at a torutant euen*ici
.4-^
Tne Jauiona.-l
+tu './. f narq-te
I
ryat rltrttt
'r-
bIrL U
)oonih
frti lrndoru
in
Zt gt ! SDtDrh ;,
/ooo N//n
m:
*tuoru
U loOmotl Fina Utlrtt lrfur .1Ir ba'
in
,l"pporA /, q 4ht/m- f-Jgfrrh) At"r* b . loornyl I
il -
toommL
D -ilrus, g/ =
fD
i too
x3oo
Szeh'on . l
:
goooornm L
, 7
-
bd3
/
aexsoo
3
lzt;
i) ?tuttrta;ng rv) 4il7. 2a1-
vD
!
1prco
-etan
P-'/oaoN -z x
,
n7r
22rx tol -^J
too ry/a-
z lookM
- , - bx
litt tal - ?. i!^//ry O.
4a 1 a. n
4. 7a kN/ra.
zb ?zadra.u Ap - 7.e u
x,oi /oo, 50 x 9-----zr J6 y / o3ytes:r 6,
/'a3
flr"rya*y
E"
)
0. aols
g
*.Jii,u
Net Q"rtation - O.oo529 * O.oo3
f / ong,aa-on.
4
O-
oo/E5
-ttaid fatn-t
x O'oo3+ z o- 34 nln| vii) Zncruae ?rt '"{tr-u,; d-u4 -b /oo,af no - fu\ O.34 uztottoj E
2.r
5-o
6oao
6-= /z N/m_L -4
t1r
v.
tl
er-X
,6tr-.o,r,t
fnuua.te
irt
Cable
in -{tt--tt t
3t
z
looo N/mmz
/2x )oo
'
-_____ /oao = l-2 r;
Snut Sntu
in .t tect
eo
rrr/ Pan\,X
b
,$rain
-
[*.],
r1 lals dtn b Ea,
t
. Total ptt ia ualt ,.{hrintage
'wrK*,
E L'"dto''.\D
/gtrcL?n,
tq o 3oo x tob 4i'>r p":<*
*$v "
ponl -krufon ;+oy "/
\e$'\
fna
'.' Ez
-
Hoa
uhtt q tb,ttiu't
ry 5)Loxt dur #
Li) Utinate (it )
Clu4b
.Ebee/.
a@? a''Lr-r+
Coeao6r'"1,
rdnaln *
/
31
=
t.. Ee
,{"' E
'.' E-
=
/r" = /[*]
ri.. il I
'ithl
tot, dw
@
,l ,.1
ti
il, :l
at,N"
Eni
!l,t ,lI
i!
l,,
O
.t ;l
iii, a' -o .t
!r
!i
lt^ iii: illr II
tl, il'
.{.
,t
( .
l ii :i
il
':itf> Loss :, .:_
;: :: :i
;t
,{3rbte *t
y
.turA I
l?^=
l-
& ?
.ilre=*= E4l L
,l@m{
f,eort
?-
tooo
.
k^J
4otuTrw..
vr.r.r.r.r-J,
z{-t*o y th, btam ..ttdion, 3/ -
/-etn"o
n ltod vtltts , 2
4oo x 600
+oo x LooL
-
2-i xtolmm r
.dPan * ienaon.,, I . 6^,
2fp y *t Upwazs
udJ
tendon,
-tn
provt"dea
ulc -
*x
t
lr- o.l
Cable
aoci
=
tn (t)c
)otrl
downulcnzr!
8PL
lz-
x o, io 22,22 kM/h,)
6N-t*
,
on #u
btsm
" 35 -22'z^
k* tz.7€ Rp/rn J-!a*' 8",.-t n'LtI
M
4t
le.7 yxL2{
z 57.5t.Hnm
--
I
. 4,1* ! a.yo Etla&u ,str-ua
fz*rtpt J. 2ztermine t,t A bt am
looa t b
e ], 1.1 f 3;t7o e 6.5? Nftnn? bolnm. 4,1+-&,9o - l-?+ N/mnr-
4pt
G0
,.8+u.u
N/rwn|
(q)
hror'ite y
c. /oqa batancllt? . Cabte /o, d
y 4lzan 6m (d$ulrry en aA fnrt af,r,
,$o 7u71n- 7ne p-u.u*rtufy /ara rn tra fendon, ,/J 4oo mm- x 6ao mm . laob yu btqm .ltction 40
kNlm
/& m$
lToo F
|.<_- g"- .a Jaturro-^, rt:
fg^/\-.'^^
UWard pru"tut
gn
t
Pnovfaea
o,2-
-l
8oo
Unt",hrrn ,.d/rlq
+,,' pazaoolfe ?a
4, taoo x lt
- 9,Ph . 2-
4a.
W
bli ,
8oo h __j_ xN/*. -
lt 0" 15
D
A.
) 3oo x,1o3
l.4ooo 9
in
o u7.*^{*0,)
Tne d-znity
i
U
ulr-zr uthen he b-un -fupra 4kNltu3.
q ila.ttieftSr
v
y rfet6dh/ q lrr,ra
momrfit
q drta d
E
COnutztert
z. 86
kN,/tn
nT
dtc-el = qtO k-rv,/rn;a
] ' !#
a
toov Boag lz'
lzs t trb-rn)
/c?oxtol c {odoooN = loo kN
fitrua - t'o4
)rr't
?oar.t;ro
dut 'b
Pe
0e' Ve,t
looa
aEt
p-
"x-
2- lo2Xlc5
l-dtd - *Ei,,
/-ei\d .
tooa x
t oa,
@cr,6inr) lz/ uwyw y tlu *,f
.
bx,../xf - o.lx D1!. t 2-4
n"{ u*-V-,
r1,*@
Total laa =
j-"te Yt7-
Lr' v= 4 kN/m -t--------:.ll-
an
KotaLf on
dLu -b: loala
c-s*zfiu) N-tt 2tctcltf on z ['ocSa 5+3
4-7:61
g:a -
0,
oc1+
-etn
l'.
,".:''
t,
:
,,. ]''".'
":
'l''::'" '"''.'
I "
',,, : -
:
'? la
EnftfA Atrz,s ;n
la}o er
l" z_*..
N,hm
N/6ni, L
z-
ae g Cama dq
*"7oo* ,8"virtX
(otoate
o.
V
a
tD uegkt*?V
at frit
ul*rt Ft i ,rueportly
. 2, 2i
e y
d,bqtt
f+t ourrL rufVA.
cb r{/1oa1, do, uo:t- -t?;a ln p-:y-.*y_..._, #,a @ .#- .anbe E *h, rf,pan fi-$tn lr l9 torT^
cznt
u, lrnot
d_gtlrcabtu
kN,/m1
-Aq-unoN;[,...^^^^^.Y
b Sguurrw
q tru
b-
tn-
{/J
*
A. bxa*? = o.3ro,rxL+
g-b ktY,n
*,"-:;;a;-rc;1 rfl ---------------t
Homin{. fl liz
e1.-i
l"-
T
J'r.1 - -
to.i3
l-L
3.tt51161;n*?
-- J. r2g x 1aq--
Liift 7-nrr,,rrr'rU .,. /?, - :>fi
Ft,r'ct (p) .l-Lt
x
Z{
.
riot
z /6
_
-Slrsu
.
/ea d 4r.K\
leaa r S,,tttt 4 7$*^ .A = Q x dsa,ryr1n?_ A = lzocmmL
4{
4
/ z !+ct: x 126q,' P, ti t-,-,,
I
(rt L,p.*r, Dy/tuion dtu ite tAj l
pt,ttruufy
7.e.t' =
7.r*J
tri
ll co"i toomrn 3Y39t"'
-:-
9ez
^ ta/cott ry(
)t 3 t2E;,4 too
-F )at atm q^^* clgt
/t ctt'on -y' t ro
b-lct
Ih t &tltn
ft Aupportr lts
2D,2 - J.7 16.-3rttm
(vii ) 12au]na,a24
. cl2tltctf on
J"L -1u lL - J--1 r 19 3-6
clrtq
3
ll.Dmm O;ti) upcuad 4ekctian c ttt a: 20 r'.
fbr
too _aD c 3o/-
.z
o
-1
+ O,, ^ "zo.a z,
.-
- r -1, ----,*i.=il*-;
J-'r -r
-
q trLg tt,.lb
f
11.
s
bLtL,fiL
c: .
Jiq ir,
16. b trm
(b_
^j
/
-.e
g )<16
T
3'6 --rkJ
=tD -E=oz
Frnat tDLLLrd l4ktion
r)
h"uttt'u.u Tts lo*-r, = &]s__{
=t-
U^1.
l rrqD
.f n,.,,
r p, rsl,4. + L.L).
G ti
brq4
/aad
u'Aieh
-!uz.( & /
D7
cqt
A-a. Ap/./:e
4L91rot
y
,l uroportiryt
J @
tnr"a
td
-,tpan
i.
-
'P!36okN
5e- = lz.s;mm
P. gso RN ,, Ec = J S kxt/r,tnt\ I r at*^ _"._) xlLl ,.rDnr1
NaL d8/ta&ien
d ir-( i" "*
DrL
-
T r,
t_ p_'LuJ.t?4a
, f,
(-se Se.S
*
x
-1
3:?)at.._ xta; ,)
V tiTi L',arn .'t o - bxa;.{:
sp6rn
4
dgrle edon
d14 ta J,t/ t t.
,r'{"'
iY
CE= -r
.?
I
4'.b
Oati*ice
cJL,-i
LJ t -t
te f br-,tt-u t j.L) ._
;4"- + *aa
€.
t'-srrr2ar,
_ A. Oata g kN/n
2:i_ -
=
.f
tlan
I
O,15 x o.S x24
l-O? )< N/nn"-
-fu uta
, €o = As-rnry.
Ssoygc,eot*
' 2:1 --- (sputa>tat ). utt7
n7i?_2
itzf Fcrt,et
}t
5tV
= 7j_
_
/
€_? rn
5,t
D- Ool o r,4
?cc,+
3 g+ A g;?^3375a
/a
o)
2.7 f +., z
-:.g
,_2rnm
7q,<";.
4arr-iy .Lo.tt
Px!4tt'ts z
f
/tez 6natfu.
q
620/-
Ez+?man
aL
t'L!
5oL uT-ro
t^rr^.,r_!
.
ettt*e y
nPaa
qz, Jtmull *.rztot r.tty
lA.t4
oPPtfed !,a
o' ,,
/'
/atuttr-ut rt
.
:
/', gi ttgrz- dczto ---:---:-: :' -
bL 2 loomv) - b= Soomm
fi)-I - 24L',/ XAI ,. T . 2ls- x lel
€z
5-o rom
E . Z*
,,
DL_
kN/1nyrr<-_,
O
d
-.f.e_
toox3oo3.."
.lz-
*
Nlrr,
-
)-o,.a gr
LL
z 2 kh'/6
Frtatula .'1-
_
Ltt fie /:.2u.^b:tt_u o
,
=
o2o
l.--o
--.
I e.t4iET
U
5t,
9-1
E^ fox 3oo
(.qrttad
t;lpsp2_
x z>E rrc6
=
/+. ?ary
d@ b nTut f Lr . 5cr*?Jtf 39aeg 4 o-oro*.i_
o-
ool) tooool
39c^3eiii5.q1o6
4,
)/.
2
= <)-2 ,)D-
4['^ D'eslect?on
t<
I = a.c i
(a) ,-hort - termP de,H-oc&on-: \-,.t./1/1-,\4.,r..{...,.r+ jgte*|on
q2y11
Z . 2!!
(b)
4{
J
uz. b
at
14.Ltnm.
l'hntz
, bq, k"J -lt-6f t r"J
dyhwbn
-
U.+ l^t_
L
UliV **,-{Pm/clilfeJ -l-u@-ttLabct
V-
+:+(t_#lJ
a.irpt.ootL
al.,
= Zi'r *
4.2 x o, ?)
C
t +,75
( ct o un utaaq ,1
+1