10
DATE: NO: : -, cHA?-ttt. l: $lM?Ll ,slRtss KIN\os OT CIStSS r) tEsrstur ,$RiSs ,.) col.4?R€SJt\iE cTRtSS s.) BEARTNo slt€.ss <) mrn erur, $'Btss t t- t tt$R Allo N : MN t12 A. CtoSS - CEcitoNAt I?tA $. ' ue" tA q--a * * # # * e+. * * A-- tl2 =1.P:1 (=O: CTRTSS E A??LIr,D fo8ce ?a-- :MPA

MDB Prelim

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Page 1: MDB Prelim

DATE:

NO:

: -,

cHA?-ttt. l: $lM?Ll ,slRtss

KIN\os OT CIStSS

r) tEsrstur ,$RiSs

,.) col.4?R€SJt\iE cTRtSS

s.) BEARTNo slt€.ss

<) mrn erur, $'Btss

t t- t tt$R Allo N :

MNt12A. CtoSS - CEcitoNAt I?tA

$. ' ue"

tAq--a**##*e+.**

A-- tl2 =1.P:1

(=O: CTRTSS

E A??LIr,D fo8ce ?a--

:MPA

Page 2: MDB Prelim

DATE:

NO:

IXAMPT E I ,,

DflfRr.UNg Rr CTRE{S l! Tltt CAELE (cD) lf DtE Dl 4r4g1€.R tS tomrn

Au! wt 61 Illt bAe ls l,(b kg.

fBb:

r(o(q'e) -- r-{l KA

J,J

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t

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Q:ue.os(cDe) - r" 4lca) - A(rc) .o

co,J -- t..tr(a) + a(tu)

r^. p4: ---::1ld14

0. 8{) -.--.

-- co <in 6

,j.4 1 KFI ---) .t'4-1

lOmrtl: IO@mm

x \rn

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J _rw,,r I I _ _.J

I

Page 3: MDB Prelim

DATE

NOr

fxAMpLE {t ftND fhf UlxlMUM VALus 0r P. CIRt(s /N TLUM\ NDM.8OMPa r ,fIE€t-- tCO MPa AND gRoilZe . /oO Mpa.

-A:4OOnfl2

,.L-f T

roo: tJ --rf---\ l: e rx -- P 4oo rnm 1 : x

- - --

,- pS: F l00O OdO n m

1: 1rn

80 MN P 4oo nO a - )aoo ooatt

OT'**.+*.'*habr'.+.+*.b.1-.++ct'#*f?4U?<U?4-')-U?-.ru

--at,frfr5Ft*

-i<ft'

--ao'

X ; 0. OoO? rn

| = o.ol(, MNI

Ssfx * p-3?

: -Ap

o .oo o{ rn2

p: KL)4.u LO.lt'p$ I -:-f

\--1

-/+!l!

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Page 4: MDB Prelim

N ATE

NO:

fBD ]

T

-2?tr " p-3?- e?

t)

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-- _4P

0. ooOG m2

-J

ffifdAMPLE 3:

4 .r-ttnn*r_rlrf,_ flrou\Rsp uAMrirR 9'_lrr Roo Ap, AxrAu {11!__! ,". ^,r%.

t) rsleg*a'r..: e fiE (iifAfllNt, (rRrg l+lN trclN tHf lrH At p, olAMflf* tr Aar.r,n

bfft(

.,.1

I

-

Page 5: MDB Prelim

@E*, = o

- P (coo) t fcq)(r4s ).o

Q: 3Ocloto = A(.gg

9:-dr.9o(a:ro)

DATE;

NO:

(:: ?

A

F: 01. ,B kN _- 0.00tMN

31. 18 x rooo

/o0o@O

Dcr^=o 5 ''=-?- Cxt Rpx --O

-al. I8- aoco&rco+Rur :D

Rx - {ra. tg Kd

.,E:UBoq - qd

=O

q =cg

tq _- 4C.4! KN

b -- iro.t,l ' + 4C.48 2 (TRe$5

: g&- qg K^l

- Aoo

Page 6: MDB Prelim

DATE:

NO:

EXAMPIE 4l

DETERMI,.IE I1lE Uq0D6I VALUE cF \'/ q'RE( ltl wtRt A0.loO uxlrnb ,trrnrSS IN

tC : lco uulrno

ARSA Ab. <co rnnr'

*REA AC ; doo rnrYrt

$oLurr oN'

Lb

,$o 1( 6inU) (rn4$

Ac tcu r.aN lm { Dr^

ffi

l$ MN lrnz x o-cr,oAff)$

l0o MNI ^, , ?\,

O"O0eirna- il= 9 0b Yti

P,+s -- too ur.rlm &1 o.ooo{ mo

lPr'-: 9- o1l!l

lJ

Page 7: MDB Prelim

?no

aints (int4 <i nls (io 4T

u) o.o0MN t(.) ; o-04MN(inl(do.?d trinQ0 (in {.f

u,) : 0-0I uN 6.i619 W: o- 0$ Mil

einroo

hJ. O.O0 MN

EXAMPLE S

156 kN AooEr.l

JMt=d ',lrr' ,Af, t$.)

At(,0) - (roo rp) { to) - [am xP) ia) 'olaoo m4r,

AU: tflo KP

iMh, o - t81"9 Uf, (c)

Fg. tgo rN

(roo)(,q) r(qco)[i -rgLto) ;D

€l.ltE; O

- (so r^r) Lt) + LDrg) (a) = o

^(rm rd)to) + ur( t)(o),oDF .. 446 KN ,

\,/ :: ai Ll

DATE:

NO:

a

4))

)l_),

)i)

)_lIr{

Page 8: MDB Prelim

DATE

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iMc' O

uo(#) (,ta) t (r4o rr.r) (q) ,o

gP , q.:.rq KN (c)"

Sse . ( 9ro, 1q)[ tcoo)

- ltOO "-

2Mo: O

- ce ('4) - (roo)[a) +(rao)(r) "o

C€ I IO5 KN (,r)

,

&e . (t3s)( rooo)

uoomrni-looo;-

TfrlN WALLED agr..lNDER

Zfs--6 f 1

qA-r-a\ ()teQg

a?: f (, tanqenTlar (Tff€ss

e(()(,A) , p(A) P. unir ?Re.((oae oi fte uQulD

a(s) [(r)(r)J, pI(u)(r)] O. kllorH

l-* I

iEJ

---

Page 9: MDB Prelim

2i.o --+ 1

F-P 'o U'Heqe :

l"? ,f : IOO

p C*) . (a)(*) p-- unr ?Qe{one or D,c, uoor,

' (ry) ' r6nat) d -' b\arnereR

t' ihicKnrrs

trdt 4t

$xa'c

ARen .

fo: t,tiLat +Lrt

Aflrn treurD-- *tr'

TanqenTlql cl-rt

Ag-- trt+la1 +r5t-t 1*1

: tal+nt.t Gt.rGt

DATE:

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I

\ / = -r --/.i!r!J

Page 10: MDB Prelim

DATE

NO:

exampre s 1

-- l.< llmo(. r.5 rulm'

long rNor naL

I too *r* J