ML20211C888

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Dts Structural Calculations for Tornado Generated Loads
ML20211C888
Person / Time
Site: 07201024
Issue date: 12/22/1998
From: Husara I
TRANSNUCLEAR, INC.
To:
Shared Package
ML20211C843 List:
References
1051-28, NUDOCS 9908260127
Download: ML20211C888 (36)
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{{#Wiki_filter:. TRANSNUCLEAR, INC. '\\ : Weyhn ro-24-mr ma 1vTs s Teucun AL. -o " un i m% c M. cat. ATi tM S FoRToRNAboau: c t e st '2 E b l'E['LLf9f GENE ~Rb TE="b L6hM oct D40ED BY 8 4 e ( ) l l c I. OBJECTIVE: TO PERFORM STRUCTURAL EVALUATION OF ~D F-T TR A KisFE9 SMSTEM( bT5j5ThcTMRES TO WITHSTAND TORNADO & ~ TORNADO GENERATED MISSILES. .__c. .II.

REFERENCES:

.'.L. D*TS'7 OP1 C.)L Safety Analysis Report b r.5 %@ - e-----h-1. 2. Proiect Design Informations --E 3A bC Pro,j ect Design Drawings:.' _ _ _ _. _ u _ o$~7, Md____ J_h %A_bTS 3. USNRC NUREG-800, Standard Review Plan. f 4. USNRC Standard Review Plan Sections 3.3.1, 3.3.2,3.4.1,3.5.3]' f 3.5.1.4, and 3.8.4 I I 5. USNRC Regulatory Guide 1.143; Waste Management Systems, Structures, and Components Installed" Design G I in Light Water Cooled Nuclear Power Plants". f u_ l 6. USNRC Regulatory Guide 1.76, " Design Basis Tornado for Nuclear l i Power Plants" 7. AISC " Structural Analysis and Design of Nuclear Plant I-Facilities" 8. %d Forces en Structures,' ASCE Transactions, Paper No. 3269, Task Committee on Wnd

9. ANSI Standard A58.1
10. BC-TOP-9A Rev.2, " Topical Report D'esign of Structures for I'

Missile Impact" Bechtel Power Corporation, San Francisco, CA., ' - - f J.R. Mcdonald, K.C. Mehta, and J.E. Minor, " Design Guidelines for Wind l l Resistant Structures," Institute for Disaster Research and Department of Civil I l Engineering, Texas Tech University, Lubbock, Texas, June 1975. ~ T-^- ~ ...u.. ' T2. 'A Redew of Procedures for the Ana% and Design of Concrete Structures to Resist Mesile impact Effects.* R. P. Kennedy, from Nuefaar Enninaerina and Deslan 37,1976. l 4, *Penetratior! epth in Concrete for Nondeformable Haslies,' Achlntys Haldar and Frank J. D Mller, from Nuetaar Enelnearino and Desien 71.1982. . J & *Probabaliste Considersbons in Weslie impact Assessment,' Lawrence A. Twindale, paper presented at *A Two Day Seminar on Probabahste and Extreme Lead Design of Nuclear Plant Focilmes.* 1977. 15.1"" Nc' e' Fraam*"t= stene structural Elements. R. A. Witilamson and R. R. Alvy, 1973. I 4,. Raarva Formulas for stress and strain. Warren C. Young,1989. - I -- l l 4 1 g 9908260127 990818 PDR ADOCK 07201024 8 PDR

TRANZNUCLEAR. INC. T.=* %o" i o-24 4 V nns b rs s,kuc roRAL cru ct m z.- a_ M YeR Tr&Mhh n dlll'smEMTE:h M iEf 22)79P Lnas at Lo A% haMA rmh o cutoc )o G1 '2R i oc 04CMEO M l h l l. t M MN Chb 1 ERA / NSSuvdDSONS ..! d. g - DOE - DTS - TSAR /,, -

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- - - [ - f - - - - - -; i i f- -- The most severe parameters corresponding to Region 1 in Regulatory Guide 1.76 are 1~ assumed for the design basis tomado: A maximum wind speed of 360 mph (579 kph), A rotational speed of 290 mph (467 kph), l A minimum translational speed of 5 mph (8 kph), i A maximum translational speed of 70 mph (113 kph), i A radius of maximum rotational velocity of 150 ft (46.5 m), A maximum pressure drop of 3.0 psi associated with a rate of pressure drop of 2.0 psi._. i (20,690 Pa) per second. l-~ 4 The spectmm of tomado generated missiles analyzed is based on the National Bureau of Standards as representative of construction site debris in report NBSIR 76-1050W. These [. missiles are also identified in NUREG-0800 as Spectmm Il missiles. The missile velocities i ~ are taken from the Region I data, which is the most severe region. The missiles are described I ~ below in Table 3.2-1. 3 Table 3.2-1 l ~ Tornado Missile Spectrum Missile Mass (Kg) Dimensions (mT Velocity (m/sec) 1 ~ A. Wood Plank 52 (115 lbs) 0.092 x 0.289 x 83 [iPAA *^h ~ ~ 3.66 7 B. 6" Sch 40 Pipe 130 (287 lbs) 0.168 D x 4.58 52 (_l16.~1 wS) L. C.1" Steel Rod 4 (9 lbs) 0.0254 D x 0.915 51 OVMwS) l 55 d?.3.A-w%$. D. Utility Pole 510 (1127 lbs) 0.343D x 10.68 E.12" Sch 40 Pipe 340 (751 lbs) 0.32D x 4.58 47 (tos.4wpQ, - F. Automobile 1810 (4000 lbs) 5 x 2 x 1.3 59(132 M9 Frontal Area 20 sq. ft. Vertical velocities of 70% of the postulated horizontal velocities are used except for missile C, which is used to test barrier openings, and is assumed to have the same velocity in all directions. Missiles A, B, C, and E are considered at all elevations and missile D and F are considered at elevations up to 30 feet (9.1 m) above all grade levels within 1/2 mile of the facility stmetures, as specified in NUREG-0800. 4 l q-.. .. mm .. In..!. +

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TRANSNUCLEAR, INC. .N. W e $ te10-4~7-4 F ma bis s rRuc rdAL cfu cA a<n 3 m % paiemo av 30-l't. f 2 2 !92 yoq.TrJitM Ah n Cc:t3-$t A"TE=h cate wo 1o A-2 R Ln Aks s L o AK cneAbMAitdfav _ onre o DeCxto SV U IV.. TORNADO MISSILE EVALUATIONS-A N A Cy TtCh(._ METUsb5f D\\$bU 531 C'_. e e L + L n t=.i ui..n. i,.ei n.c. oo sin i co,o - H - -{- 4 - K' T"c? F.4.cM l .b, ' i -f~~~-~ N.'o k. >[} + $' "..[ 5e sLbing- ~ l i i 's k (t 'i ~ i~ ~ ~i~ y-----; R.. p o.. .y - 3 ~, - -. ~- - l 1MxM%:Wri (D M 7A W4?M+0 -x- .o '} ~~ a. ..t l , s>>, '

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  • at Missile Penetration and b) Tercet Scabsine' i

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,- - f ,L. i - el Perforation i d) Overat! Target Response . 8 i .. 4 l'ig. l. htissile impact phenomena. i . 3. _,.. -,.. i i i ~~~ ^ 6.4. l.1.1 Terminology ~ l ~ l' ~ ~ ~ ~ ~ I ~ I

l. Penetration-the displacement of the missile into the target. it is a measure of

"~" - ~ l the depth of the crater formed at the sone of impact. l

2. Perforation ~* full penetration," or where the missile passes through the target with or without est velocity (of missile).

~ ~I~I~ '~~ 3.5cabbing-the peeling off(ejection)of material from the back face of the target '-}- (i.e opposite the face of impact). 4 4.5 palling-the ejection of target material from the front face of the target (i.e the face on which the massde impacts). i - - q . 4 u. t 1 6 I e P . 6 l 6 q -. 3. *, 1 i i I i 4 g e i 4 g i a f

TRAN NUCLEAR, INC. l.Nh1 oc lo-WM me bis *Tiuc roRAL cra es. s en 4-or 1A "Nuo " ^ 1:oR rem 4 Ah n MYTeh l k 12./22/12 cue se io ca -2 A .P 090E0 W Lnns a loa % enubeninKm o om ~ i AM.m eat LEMPERicALY ea udons.t 6 A J, :. .'.L..._,,..,.. . t. ..t.t. L L-.... $...D SF \\l E..TN N C.T. c>N @MC htt ST RSCTBDS WM Q3; l'Ej l \\' '. T ' I ~ ~ f ~ ~{ .m. u... ,......u c.&.- 3.. .... u i... i i i i ..,..,........u-t i i Modified National Defense Research committee: -- E ~ .=.,'. A. Penetration into Reinforced Concrete: 'i-i' X =[4 K N N d (Vo/1000d )1.50 for x/df,2.0 1 where: X = Total Penetration Depth ( in.) .....'L. K = concrete Penetrability Factor = 180/@ =.. -.L f'c = Concrete compressive strength =3 000.0 psi l l l l N

  • Missile Shape Factor = 0.72

.f.l. .h7---d--!- W= Weight of Missile Ibs. I ~ b ~-'~~7.I~!~ ~$~ .L-..-.,..,.. c = striking velocity of Missile ft/sec....t L---, .,i.. V l l l l d= Diameter of Missile in. i....'.. ' i i i i ~'~'~' B. Concrete Thickness to be Just Perforated (e) ......u. i L .,.:..u. 4-e/d = 1.32 + 1.24 (x/d) for 1.35 < x/d < 13.5 l i i i i .t .......u . 6. .....'..t ) C. Concrete Thickness to be just scabbed (s) i ~ l s/d = 2.12 + 1.36(x/d) for 0.65 < x/d < 11.75 i g g t 6 I I y 6 4 i ...u I g a e i ( a e t I 4 . t. ..,3 .. - 3. ...-.L- - p i a.- 8 e g I I f e i 9 g 9 I 6 4 9 i I 4 . i..... ,L t. 3 ..l.--...,..,.- ..+* L--..~ q 7* i I 8 6 e I 4 ,..g +g 9 6 4 I I 1 8 6 8 i g a 1 i i h

I ',:, TRAN.' NUCLEAR. INC. T M d a 44A om)o-Eo-4 I nu b rs s rtuc ruRkt cto a m F5 , ii;,(,o ton -rem cetEMTeh %J22.;7 il LnM a Lo#h cmMA Tmh - o a u:.c io ca-2R om peacEn W i M L55 \\l'.E; IMMd.T Oi4 6%t L.5 TEW'TvlTC.EE i i ..u i ....,__,_....t.t.__,..,,_....t_t_____,. _ut__._ i l e i 4 7..., _, _........,t _ p _ _ _., _, _.,i. e l i e l l 4 I , 6 + e e ~ The minimum thickness of a steel plate- ~I r i ~;. capable of beinfperforated by the postulated DBT missile is given in Mcdonald (Reference- --- \\L) and is: _L_ i i i _......._'..i..t i i 3-i ._,_.,_,...____t. l' T= ( 0.5 M_ V.212r i i

672d,

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~ ~I I T-i i i Where " - E - f 7 4 - -! - - - '- - = perforation thickness (in.) _.- L _ t _ _ ; _ d _ _l.. _._ _ f 7 T L.t__ ._j _ .t. M. = mass of missiles = W/g =.

l.. L. _,..,i..,.

.. _ _ '. l i i L lies. - l W

weight

= 32.2 ft/s' ? l' l ~ -l l i i e l-g = Missile Strike Velocity = 2 -l-,. 7 ~ [ - l li - '- ~ f - i i i i L - l _ _l - - - :- _ L - V, - - i. _ 4_ - d,,, = Diameter of missile = _ _ _ ; i4 d _ _l_ _L. L _ L _ _ ; _ j _ q _ _'_ _,_ _ L _ i. i i i 1 ~ (.which is a more convenient form of the Ballistic Research Laboratory 's.7,'----l-- (BRL) equation [Ref,M] for perforation of steel plates with material [ ; l-i-i ~I~constanttakenasunity). -Pt I-$-- .L-- ,..... L. L.. _ _.3 L L._ _L L ;_,_ . _ m.,. i i... i I I i I L t 6 i i 8 8 a g . 1 6- . v.. 4 4 1 ( i I I I I l I l

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I 5 .6 4 g I 9, 9 g 9 4 j 4 1 g g g e i 4-5 g g 6 6. ,,.'.L I t i i g L - j L .....,q.. ... g,. 6 e i i .k .L I e .L.L 3. q, .*.-*y ...3 .L. .,_,,,,q. t i e 4 t t 'l-t a. r 1 3 I e l g I ( l g e i i l 4 . t g g L .4 i 4 i t I e t N*. y.. .L .3 l. _ e ..... L.. l i i t + t t 4 6 g q .4 t t i e i i 6 i o t. l l l l 1 .*3 .e. ,3 l ,. g.-.. 6. -9 =- 4 g 4 f l .g g. b b ,9 q ( l l p t 4 e e e t i t

TRANSNUCLEAR, INC. ~ 1 MtALad)L.cwe t 0 '30 M mtr b T5 6 Ttuc RURAL c tu t'L lo mm av ' se cr 7 /e 7 VoR TcJitMhh n dl~c=t4E"$" ATEh cucus i o A '2. C M IT!O1N Ln AhE d L o Ak F^fAM&~T Mnw O cws oeomoey i i e I s i 5 i 'MAy.tMuM TM%CT LoAb LEA-set ot4 ELASTc sTh%MT'f e _.,__._...:..t ____,.,__...t._t_____,, ._.L_L h i T LE. Il. l l l. .-... l. l 8 .( i i 1 i .s a iId oII W _. _ 't b, _ _ _.,' _ _ '... _ _ _ [. _ t _ _.. _.,' _ _,' _ _ _ _ hk b. k.FE_A 6_ _ Tants 34 Fernoulesfor elastic stehilit.y of 6ers, rings, and 6eems (Cent.) 8,. Reference number, fann of bar, and manner of needag sad suppers I i Sn. Unilare owna'ght bar under and load 7 and a un t (e nesstive value for f/ps emans the end load h maalle) asiributed lead p per a jewer por a of she length; several and sun &uuns. l Wr = ' T -h~ ' " "' ' ' ~ ;- L - - A 4 - - - - - '- u -

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i ....i. P .'-.L.- f-i tad e b end. pned. t i sendiuone i-i i i _......__.-.-l } -yg,;,gf-g g A A "-f- , '-- ' '-- g _4 __t t _.__ n'8 I 'i 4-,, ,- -,- -F- ,,.,. _ K.. : '% 57yt< wv4_ s tw t~~'l i .t-l l -l% l$$ li! li Ii! e.,, 3,,

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3.lo t I g(p {. oJo RJ4 1.15 1.o0 o.98 8 I ,-.l-. . i. i.co c.si c 73 e.to c.se ---t-6 e .. [ _ _. _. j _ _'. _ _ _ _ _ t L. _ _ _ _, _. l _ - - - - t L - - - - : - - - - l-i t WPAc7 Cohn tor ~ FMTo trolICE....,..,. 4 t ~ Automobile i The impact force is calculated in accordance with Reference __ .___L_ B ,and F = 0.625 V M g 2 where V a 193.6 ft/s initial velocity of missile (59 m/s) ~~~ ' 2 M =N:oolbs/g, slug, mass of missile (1805 kg) 1 g = 32.2 ft/s (9.81m/sf 2 Substituting for the. design basis massive missile parameters, the maximum force due to the cutomobile impact is 484j ooo~ lla.s,~ ~ ~ ~~~ ~ ' l l G t.o s M _ E m c a s ; & b b i '.e.4[c J s J k I ~ udahd uM g e)aw?cd M Q 4b M L-...,. ,,4 . i. _L t s i l s i I

'~ Iw TRANSNUCLEAR. INC. - \\.h e t om)b-30MV ims bis sTRuc-RURAL c ru e c..

==uc er ser 7 or-- % von s tu n n smEMTeh ea se t o A -2 R l.' .M., om 12. !11fM Lnkhs at Loh enub4718W=v ~ o DSOED SV .M. M kl M" tic 4L C AL.C.\\1LA710 N.S l l _%7 \\'ED0%L.blREC Ts oQ - Mi55)LE TM'PA'cT OM ' COREE thCAL EFFECTS OF POSTULATED TORNADO GENERATED MISS b ~ MISSILETYPE-h0C)b,khME'_kkTZ.# y, @#' L ON G- ._j_ W= Weight of Missile \\\\G lbs. = Vc = striking Velocity of Missile =W.) uph. = 7.77.1ft/sec. ~ 6= Diameter of Missile = 7.cfin. .._7 Modified National Defense Research Committee: (R VAACL -~ i A. _3 Penetration into Reinforced concrete: i X =f4 K N W d (Vo/1000d )1.50 for x/d.$. 2.0 b where: im_ L L_ X = Total Penetration Depth ( in.) 'L. K = Concrete Penetrability Factor = 180/@ = E7.d/,, 1 I f'c = Concrete Compressive Strength = 3000.0 psi ~ N = Missile Shape Factor = 0.72 X = 4 x Mg x 0.72 x \\ \\ 6 x 7.oS (U2) /10MyW4)

  • X=

t+.1,~7 ;). % > --~f-yg -- '* k7 _ , g--? ~------ ~--{~~ B. Concrete Thi kness to be Just Perforated (e) .==. 0 0 - -- - --- ~ ~

3.lS yons- 0 gl $(0 i(3 b \\#

-P-} e i a.n i C. Concrete Thickness to be just Scabbed (s) : s/d =,q,qg ..j g, gg a.. -- y-j {s ' 7.m x o.66 - 5.oh t'o40I== 3' C'1 ' s-

z. ). 3, G iw M ydd 'IAa P

g. p a gem w h W .T W W e.. rid M w w 10. Ai

TRANSNUCLEAR. INC. '\\ W ^^ M om )o-D W ma b Ts s rkut RURAL cru ex mE a 30 j f YbR -reS94 Ah n sc=rFk ATEh cau x j o ca -2 R 12.i 12192 Ln Aht dr L o Ah enuMATis%v om o cao av s HoRR.oM%L M%5.cfl0N -l I' ' [. LOCAL EFFECTS OF POSTULATED TORNADO GENERATED MISSILE: i , ' MISSILE TYPE - W OOb Pt_ W R 4 '/.i b I I l Oh)$ [ 'W= Weight of Missile i)5 lbs. ; Length of Missile = 12. ft = _. Vs = Striking Velocity of Missile = \\ 8(o.l sph. = 272 1 ft/sec.__,_ - - Ex = External Kinetic Energy = WlVsf'/2g = tl5(t7z.Dhs.h32p82jt)ks. ~z 1 ~b2 \\'l I '~ D= Diameter of Missile = ~l C6 in. ~ ~ ~ l ~ l ~ " ~ [ ~ ;,~ ~ .[A= Cross Sectional Area = l'j 6 8 lu ,],_ I= Moment of Inertia = 4 0 '2-U b. [.WEM.)

f-h-,-----

i ~~ l X = Depth of Penetration into Concrete (in. ) = tt.6 7, l ~~~l~~ _f _ T = Thickness to be just Perforated (in. ) = 12..(01 i - d-Ts = Thickness to be just Scsbbed (in.) = ~Z.l e '5 le -d--l-.- e l ~ f'c = Compressive Strength of Concrete = 3000.0 psi. ~ l ~ ~l ;~ ~ ~ E ' ~ 1 - e r , [ _ fy = Yield Strength of Woo d k '3.0 ksi ,_[_[_1,__1,, -- f - fu = Ultimate Strength of Wood 68 5 00 ksi. --f-f-----d-- i psi. i i E = Modulus of Elasticity ='22 0 x 106 ] j, Py = Maximum Load at Yield = A x fy =3 x 3938 c Il8'l l4 l i -l-Pu = Maximum Load at Ultimate stress = A x fu = 5 X 39 38 = IS b _9 N-4 l P' = Critical Load at Buckling =M2@ )2 EI/,(1)2.62MM E2, =134,703 N = 1"64f7 K,d . oun r ~~ I Pc = Maximum Bearing Load with Concrete = A X f'c = 3'1 b6Y3 - ,,..)gg.gy.. [ dWkt kd ;b Y k .h b. 2 xl2. ., x =. .? 67 y: . =. 34o ; 4 5 k ::: h.2X D .p. hwd%{.( Grree.= 2ve,, -

c. o o 2 al Sec_.

'Z % v2., w

u= P A = SW3 M 8 = l f,9 i K-F

% $L tb ~ ~ ^ n.' , g g.17 X l'i plo O' ~~' W

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TRANSNUCLEAR, INC. g W-rs m,e \\)-2Ai f ma bis s ituciuRL crd rA. un A w T Co - ev ~ TioR -reJitMn n GF1hESEA*TEh cue m 'l O 6 1 - 2 R J C. we l'I- [2.2.b 2 LnAu dr Loh enuba&Tib%ev oeoso av s o i i i l e i l I l Mare >WrALbiREcTsoQ 1 l l LOCAt, EFFECTS OF POSTULATED TORNADO GENERATED MISSILE: _.l MISSILE TYPE - 'p", Q, [ g W Q _{$tL.D % _j. , j-W= Weight of Missile 267 lbs. = " ~ " s Ve = Striking velocity of Missile =i)~ki}7 uph. = 170*7 ft/sec. (_[_ i _ L. 6= Diameter of Missile = _k.{ in. l , - -} - Modified National Defense Research Committee: i - ~l A. Penetration into Reinforced concrete: 20-- x=[4KNWd(Vo/10006)1.50 for x/d.1 2.0 l -,- - ,__v_ where:. a I x = Total Penetration Depth ( in.) L_L-l l K = Concrete Penetrability Factor = 180//f'c = k 28(,.. i f'c = Concrete Compressive Strength = 3000.0 psi ; N = Missile Shape Factor = 0, co.@

_d__

x =/4 x s.zac x ide*x 287 x Go (57o 0 /1000 n.d.)* x= 56'4-. i-h-7y g,6 0433 _ ;_,__.___ J/A = = 3 ..l. B. Concrete Thickness to be Just Perforated (e) l e/d = 3.gy g,;_,,, p, 7 l g 2_ _ _ _ h3/g /-. ' [= '3.m o 9 35-m g co.9 sd = tJ5 - - F - ; - - - - r e s z,ss x E ci =- w, Il i% - i - 4 :- ~~ ~ C. Concrete Thickness to be just Scabbed (s) : _l. ~ ' '

  • 'a--

h 4 l

= 1.,4 us t m Q 4; G;6

~ a 888 f . e-sr _ ,s I N~*~7 ~ ~'* ' ~ ~~~ ~ l' l __t l l l l i

TRANSNUCLEARo INC. T.M are i EM-4 Y ims bis s TRuc RURAL cta e%. " " * * ^ w et io a ~2 6 WR -rcMn n hrEtdTeh p 12 jif LnM dr LoAk enukK&ii8%cv cue,o g o Gi-2.R JC. cws (2-1 oeoso or i o l He ot0T d b &lE.N~TIOV I l LOCAL EFFECTS OF POSTULATED TORNADO GENERATED MISSILE: ? ' MISSILE TYPE -- [o ' Sck. 4-6 I*fh4 16' Ly 287 lbs. ; Length of Missile = 15 ft W= Weight of Missile = Vs = Striking Velocity of Missile =Ille.'I mph. = 170 7 ft/sec. -.'- Ex = External Kinetic Energy = W(Vsf /2g = 'Z6 4 / l D= Diameter of Missile = $ O in. ~ i ~ ~ ^ 1 ~ ~l" ',~ < e -J-2 - -- - t F _ '. A= Cross Sectional Area = 5.5 8' N. l_._.__L_;_,___j__ -I= Moment of Inertia = 2.8.I 18 ..L. i i .l t l(~[~'~l~ l X = Depth of Penetration into Concrete (in. ) = 64 6 tu ; l l --- T = Thickness to be just Perforated (in. ) = W.Il w - -l-Ts = Thickness to be just Scsbbed (in. ) =

2. o.'33

-d-_l-'-_-- e i i ~l~ f'c = Compressive.. Strength of Concrete = 3000.0 psi. ~l-~[7~~~~~b- ._..l. .s 4 _[ fy = Yield Strength of Steel = 36.0 ksi __[_ i 6 o, 0

_____l_,

i i i --[ fu = Ultimate Strength of Steel = 58.0 ksi. L-----d-- fE=ModulusofElasticity=30x10 i i 6 psi. i i 8 J . p. Py = Maximum Load at Yield = A x Iy = 5 5f % 36 =. 2.o0 44.. _ _ L _ l -/ Pu = Maximum Load at Ultimate stress = A x fu = 5.Shtfod =33,a.? E r P' = Critical Load at Buckling =)3( x )2 EI/..(1)2 11 X5o'wlo,6g.2-6 : I

  • W-

= I \\ 5 tn. l

- Cr83 7 7 o tha = 4-8Z.7 7 K ~ l)*t.-

Pc = Maximum Bearing Load with Concrete = A x f'c = S rSh3:o - ' l g 7K.. _ j. For kkdlN341L; INMcI ~ ~ .x l .bundtW

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.TRANSNUCLEAR. INC.

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~ ~ mu bis sntuc RURAL cu et omt il e,_ 2/3 i vet reauhh n c.c=mtiWTew .: G om 17, 2 1 [92 we io ca 2.R Ln AM a L o Ak enu baJATiehrv oeouo m O i l l MR)?f>NThL blREC~T) O M 4-l 14 CAL EFFECTS OF POSTULATED TORNADO GENER - ~ ' MISSILE TYPE .. )"; DIA.s STEE,E_ L, I d [khDith-l _. 4- - I 5-W= Weight of Missile = 3 62, lbs. ~~I~ V c = Striking Velocity of Missile =~1f%.4 mph. = J b 7.3 ft/sec. ~ ~ d= Diameter of Missile = \\,'eO in. Modified National Defense Research Committee: i I 1. t A. Penetration into Reinforced Concrete: _3.- a X =[4 X N W d (Vo/1000d )1.50 . for x/d 12.0 l-b - d where: -u_ i i X = Total Penetration Depth ( in.) _t_ ~ K = Concrete Penetrability Factor = 180/[f c = 6t'ad4 i i 7 f'c = Concrete Compressive Strength = 3000.0 psi, l } N = Missile Shape Factor = 0.72 i X = 4 x 5166 x 0.72 x8,6'Z.x:l.O ( %73/1000xJ.6 ) i X= l S 3.,124. t --_s-- /A _ l.E3 X l g.o ---b-B. Concrete Thickness to be Just Perforated (e) i e/d = 3,.g4 xg,,, p, 713 "2-c trg. h.d.. h 3 { _ = Lh 5'A -v.; V"EA WA)h - h M - 1,3 2. -), l.2 4% ). ?3 - 3 5 9 ; j h ). 50 - P - - - - ; - /

c. = ~5ei b i :-3 59 in
- ; - - - - ] -

C. Concrete Thickness to be just Scabbed (s) : s / d =.:. 7. q

_ q,og 2-hd b k;~~~'~.['~
=.: 2 12 :+ b 3 6@/j) M Ng 1 l

l ! =; 2. a -n 3 pi.s = m4 i. e p_ I ~ ~~^ ~ i i

I* TRANZNUCLEAR, INC. i. T.wm Mswr m dns s,wue ret cru ct s z , Mo

== ~ w t-rau n n e n=w m,. s o ca _za om G- [2.1,lif LnAm a Loh e m NHAn Wiev o 30-a-w l VoR\\cowthd d)) REC Cl0% ' I l ,. LOCAL EFFECTS OF POSTULATED TORNADO GENERATED MISSILE: MISSILE TYPE - \\ b'N .t 1 W= Weight of Missile 8 6'2, lbs. ; Length of Missile = 3 0 ft = . Vs = Striking Velocity of Missile = \\M,%nph. = lb7 3 f t/sec. _.,,, - -{- Ex = External Kinetic Energy = W(Vd /2g = 36M 23, / 2.5 st >\\7 l~D= Diameter of Missile = b o in. I ~ ~ ~ ~ l ~ l ~ ~I ~ ~ ~ t 4 .[A= Cross Sectional Area = on 8 5 9 (([_],)_ I= Moment of Inertia = Y b O' Od l .---LL----- . i a-i ~ [~*~l~ X = Depth of Penetration into Concrete (in. ) = (af3 i i i i ,..-t-- .8, T = Thickness to be just Perforated (in. ) = ~3 '6C) .,,i i e - E - Ts = Thickness to be just Scsbbed (in. ) = To bl - d - -l - i - - ;- L - i i i ~ ', f'c = Compressive Strength of Concrete = 3000.0 psi. ~~* lf~~~ ~b~ .p.t.. _ j.. q.. .,[ fy = Yield Strength of Steel = 36.0 ksi __'_[_;_,,_,_ i - - fu = Ultimate Strength of Steel = 56.0 ksi. - L L_---_ ,l-- 4 to i i E = Modulus of Elasticity = 30 x 106

psi, 1

1 , Py = Maximum Load at Yield = A x fy = Di 78h36 m= 2 O, ~ - l-Pu = Maximum Load at Ultimate stress = A x fu = 'O.76540 pAUA1 ' P' = Critical Load at Buckling =*( n )2 EI/,(1)2 fx sobokxfo.4Nlp 52. C hhJz-- i = 5'1/t7 G tQ = s,oi, gg, I Pc = Maximum Bearing Load with Concrete = A x f'c = 07S~$ff,p _. g g...., 1N g,, x. \\. t s..,., i t } D%A ~ - {cA - Q ' 2-Y \\ 83 o.ooiP.She. % v4.to b m.3uz h o. i s5%o = A-7 -)tY- ; ...a., f, tw dc. / B. S z x l b'7 3.,._;. _ o.,,, i se c g _,, _,,, [ _ [ _ _ _, _ _; F = Yz.riv.47lzq-l ~h-l ~

TRANSNUCLEAR. INC. \\ de %n B-2.5 -4 Y vmm bTs s reuc ruRht cto et wt G m3 6 -rJ.E.; von -raun n mcrew m,. i o m - 2 a 3c. (z.! n/90 une a ton enawawTa% o o.omo.v MRt7.nwrAL.biREcm ou thCAL EFFECTS OF POSTULATED TORNADO GENERATED MIS __j. ~ MISSILE TYPE - ht Til XT~T,'.P.. O L E_. ',_ _ [. _ _, _,' I ,_j, .i, W= Weight of Missile .I )'2.7 lbs. = v = striking velocity of Missile =f,1$4 mph. c = 380 5 ft/sec. 6= Diameter of Missile =1%.5. in. y - ;- - Modified National Defense Research Committee: I. A Penetration into Reinforced concrete: X = 4 K N W d (Vo/1000d )1.50 for x/d,1 2.0 where: .__c_ l X = Total Penetration Depth ( in.) __t.

_L_

K = Concrete Penetrability Factor = 180/6 = kw(, i f'c = Concrete compressive strength = 3000.0 psi l N = Missile shape Factor = 0.72 1 X= x s igg x 0.72 x il2.~~/ x t5 5 08*'5 /1000v 55)1.80 i X=. 7dl IR - -"T- / P) l [ X/A = 16.5 e.~579._______ = B. Concrete Thickness to be Just Perforated (e) i e/d = p,xf],;o,])3 ~2. _ _ _ _ q _.'. ___l L-_- '3. M x o.s7ct - ont g,x Lo 57,@ = bich - - - - b = i

e. = 16o5x.:13'E

'2 l'(o7 t w C. Concrete Thickness to be just scabbed (s) :

  • /d"{7.mg:_gog, 2----{--r--'-:---~-~'~
:. h*0 x o.573 - S o6 (0 576.,.- z < eg3 t

i 5 5 2<Gt$v:l M.5 3 4 0.1%, - -;. - L- - kQh % (3. a htMM.%%d-L At M E O w,gg a 1 c m rW w %.p % k A sta % % h M C.si SEE 'wA4PIO U6b Ah-

(' TRANENUCLEAR, INC. ). h o=\\Vt54K nu bis s rauc Tahl cru c%. e,en 1 I4-w- 'M mon TMah sera =:tMew cue io si-2A Ma om II J,12.lTF LnAkn a LoAK e nukk&TitMisev oeoeo ey o RottbuTAL bTREcTioM ._ll .l l- . LOCAL EFFECTS OF POSTULATED TORNADO GENERATED MISSILE: ' ' MISSILE TYPE - LA T\\L\\TV V OLE W= Weight of Missile \\\\'Z 7 lbs. ; Length of Missile =35.o f t = .. Vs = Striking Velocity of Missile = \\Z3 4 mph. = l 80,5 f t/sec. _ _,, - Ex = External Kinetic Energy = WlVh /29 = Z' 8' 70 EUh \\i ~I 2.% n'.\\7 l i l~ D = Diameter of Missile = 45 in. ' I ~ ~ ~ ~ 7 ~l ~ T Y ~ I ~ , [A= Cross Sectional Area = k (S S. g"2)!__,,,_[F _[_,_$_ 2-!- i F ( $' = h 00,0 - --- ' ' I --4-- -- '-I= Moment of Inertia =T,t+, i i e ~ L'X = Depth of Penetration into Concrete (in. ) = 7M r ~ L. t ~ I ~ $ ~ l ~ ' + I i i i i ,-i.p. . _i _ T = Thickness to be just Perforated (in. ) = Z M'7 ._ q _ q _ _;_._ _ _ _[ - d - -l - -I- - - - f - - - - Ts = Thickness to be just Scabbed (in.) =389 e i i ~ l ^ f'c = Compressive Strength of Concrete = 3000.,O psi. ~ ~'. ~_ ~l i l ~ ~~~ i . _ [ fy = Yield Strength of Wood. = 3 0 ksi __[_[_ _}_'_. i i i -- f - fu = Ultimate Strength of Wood = 5 0 ksi- - ' '---4-4---- i i t-t---]- i E = Modulus of Elasticity = 2,ox 106 +

psi, i

.. Py = Maximum Load at Yield = A x Sy = 143.)&X3 o :. /-t.'gN,, ' K. p - -l-Pu = Maximum Load at Ultimate stress = A x fu = W 3 M4 5l=-7Jn7 k-J' S5* )2 EI/,(1)2 =nkzJo4 x4sA* s.s z P' = Critical Load at Buckling ="( n G6V.3LM A W;Zl3 N = %t. z. K

== I Pc = Maximum Bearing Load with Concrete = A x f 'c = TZ4-3si Vx3."D ', ~ k .t Stbg bM W k LM k { OD y 816 #54{-%M 8]7M 1N - {-- ) .t 2. t b StArtAhdd Q idse_ -h, ?ZX7'8 I l _ ~ ^ o, .i 8o 5%\\2. M S. %%Ae_

LA4e. - F.=- 4% 7
  • r : - - -

i~ ...L. .... e i i 1 s I ( t i 1 i 1 L.

c _ TRANSNUCLEAR. INC. s.M m u-Zcs4r = b rs s reoc-runt cro ec.. wr\\c 2.6

==o n' von -ram n sammTew cuao ca -2 a _K 12./1 1/92 Lnam a Lon enuouvrmw o = Of0E0 SY i l I ReR1 tbs TA L.biREc Ts oQ ~ LOCAL EFFECTS OF POSTULATED TORNADO GENERATED MISSILE: --4 __j_ MISSILE TYPE - N _ (( h. 't _ _., - d J, e W= Weight of Missile 751 lbs. = i' Ve = Striking Velocity of Missile =165;Amph. = 15M ft/sec. ., _ L. .._t.. d= Diameter of Missile =\\3'o in. Modified National Defense Research Committee: i~$ l A. Penetration into Reinforced Concrete: d-- X=f4KNWd(Vo/1000d).50 s_ for x/dS 2.0 ,- b - ,__i__ where: .i i__L_ i ~ X = Total Penetration Depth ( in.) l K = Concrete Penetrability Factor = 180/ 6 = k~ts(,o 1 i f'c = Concrete Compressive Strength = 3000.0 psi l l l N = Missile Shape Factor = o.42-o. 8It-i / o. i X =/4 x s.zg x o 84 ~~l~ Gs x 751 xIL ( 159.t /1000 v rL. )1.80 q-(,, '2.f,.'}N. X= X/3 = g g b.s t 2.' ' ~~~~~ ii Q __t_ = B. Concrete Thickness to be Just Perforated (e) : l i e/d = 3,.gg gf ;_,_;o, g l 3 1 _ _ q l N ' 3.\\% o,ST2 . o ? 8 Lo.5 227= I. '+69 f ~ - -- ; -

e. =. 12.x li'+@ = l 7, 6 5 N i l~

~:~ C. Concrete Thickness to be just Scabbed (s) l . l. l s/d =_g,qg _ ;.i 606 (~ 2-^~~~~'~ i ~'~'~~l~ l = y.m u.sz2 g a sd P

T i

O spese ~ .A l.

  • ' " *~

$. - S 75kj7- ? ~53.03M)-- ,L----- 4-e i I r

TRANSNUCLEAR, INC. tW%t a, w25 -4V = b Ts s,*ue runt c ra r-s. n \\ I, " *v ^ or_ g V e R re a kl e s n sotE$d Teh e To A-2R [ 3 C-o m ( t,72119 f Lnkks at LoAk < nuNthTihh osoen av s o 4 i i Hok1 sot 4% \\-' b ikEcTion ' -l l , LOCAL EFFECTS OF POSTULATED TORNADO GENERATED MISSILE: t - F-MISSILE TYPE - 17, " $ cM. 4 0 h h f. l W= Weight of Missile 75I lbs. ; Length of Missile =~15 ft = . _ Vs = Striking Velocity of Missile = los.q. mph. = t S4. )f t/sec. _ _ _,, 2> --!- Ex = External Kinetic Energy = W(V[ /2g = ! c7'O 'EI-h d. s 2.%3 L d \\~), i i l' D = Diameter of Missile = \\1'oin. '-I I~ ~ b ~ _i

. _. l ~ ','.~ ~[ _~4. J,

~~~ g e-> _, '. A= Cross Sectional Area = VT.(,iu i,,, _, _ _ ' _ [ _ i,,, 'i,_ g i 4 -f-I= Moment 07 Inertia = 7-7 9 60 W -- '--f-f-- -d-- i i 't~ 5 t_t~I~[~]~~ .' X = Depth of Penetration into Concrete (in. ) = 6 2.M ~'~ 'i i i .,. T = Thickness to be just Perforated (in. ) = C' O ...u- - $ ' Ts = Thickness to be just Scabbed (in. ) = N' # .-d-d--l---- i i i 'l~ f'c = Compressive. Strength of concrete = 3000.0 psi. ~ l ~ 17 ~l ~ " ~,~ ~ i . _ s _,.. _ f. _ _! _. .,[ fy = Yield Strength of Steel = 36.0 ksi ,,[_ i t i i -f fu = Ultimate Strength of Steel = 6o.0 ksi. --f-f 1_,_d--- I i l t I i E = Modulus of Elasticity = 30 x 106 psi. ~~i~I~!~~~l~~ .'.,,!_.!b)g>_.._ .s-Py = Maximum Load at Yield = A x fy =\\4.l* M # ..'_ _ w - \\ - -!- Pu = Maximum Load at Ultimate stress = A x fu = %(onMY7b'Ob P' = Critical Load at Buckling =%'N 3( n )2 EI/.(1)2 =TThKoNickx 7 ~79 r Q79 5; 5.3r,lk = g 79 3(,3 R ' Wl '2- \\5t rr ~I~Pc = Maximum Bearing Load with Concrete = A x f'c = TNe fo)C3 0 ~ ~i ~ --._y.. . ;. _... _ _, _ _,,.q/g_ lfirr14wh brssi.}ed b %d Nree F E k W' h _ _.... m t -l G,z

x

.....m . 5_ _3_),3_3 R_ N _=_:,5 3 1 3 E_ L. i ihg %1 M d = 1 5 '+. I v i t.1X 6 4 l _. O. 0 0 h % Sed 2O h h jTirad k 54It-[, N u. uTsu W M ) M N'1 J - 1. _ _.. k,% o..t 5 3~li3 (... 7o3', 7 K_ ; p= 4 4 t s t i l /

TRANSNUCLEAR. INC. \\.Lkan.44_om M 'LD @ nn b ts <; reuc RURAL cto et se M cr 3fo ~ TioR -Trades n MATE:h cm ceo 't o 6 1 - 2 R ("J[2.2.bf Lnkhs a LoAK cnuNklA iteMtsev o om e h i kk \\h h7T~A l.DIREC *T) O N t-i + thCAL EFFECTS OF POSTULATED TORNADO GENERATED MISSILE: MISSILE TYPE - blA TOMO %)%g _ND% _,N_f,2 o @ W= Weight of Missile = %D O lbs. v c = striking velocity of Missile =lTD3 sph. = j'13ds'ft/sec. ,__i__ ~ d= __t_ Diameter of Missile = @ 5l,in. i ,- i-Hodified National Defense Research Committee: a i~ A. Penetration into Reinforced Concrete: 8 i i o X =f4 K N W d (Vo/1000d )1.50 for x/d,1 2.0 ' l-b - i ~ where: X = Total Penetration Depth ( in.) j

i. L -

K = Concrete Penetrability Factor = 180//f'c = ~6t 2.s4 I I f'c = Concrete Compressive strength = 3000.0 psi l N = Missile shape Factor = 0.72 I ~ X = 4 x $. igg x 0.72 x 4000 x60 56 ( l'I3ts'/1000v c,,c4sg " l X=

8. h - (q..,

i ---f' p _ F. lo i 3,j g,- L-Q Ca o.56 j Concrete Thickness to be Just Perforated (e) . - - l-. B. i e/d = 3.g gf zo,]l3

7. _ _ _ _ _ _',-_;_ _.._ _ _.___--

It !_3 4 4)c0 W - L - 0. 7is [0,-14 7. h = 0 4 3 k [ ---]- t =- 4 o*S 6 K.0*f+ 3 T = L Q g q q (y ' - ~ ~ l-~ll~~~~~1~ C. Concrete Thickness to be just Scabbed (s) : ..l

  • /d = : -7.m g- ; __ 'g, g (-ga. - - -'- '-

---4 '-~~~- 7.m.o,wt - s, bMoM7= 1 o 2-] { ~ l I 8"" J.. L- -,-**~ s

  • * * - ~~~ ~

.;j

TRANSNUCLEAR. INC. I.4 Q.om\\\\"30- W mu b Ts -s-rkuc RURAL cru cA. s,en i f cr_ 3(o

    • =nv "

~ von rah, smEWwh m o ao ca -2 A d0 II /21f91 Ln Aks at Lo Aw enuMA tmW om oecno av o , Rodt totaTC3arcTsou: : LOCAL EFFECTS OF POSTULATED TORNADO GENERATED MISSILE: ' -MISSILE TYPE - AQ TO Mo NW,Fvd' b 2 NN. l.W= Weight of Missile = @ o o lbs. ; Length of Missile = h).b ft l _ Vs = Striking Velocity of H' issile = \\32 3 mph. = M3 5' f t/sec., __ m _ - - - Ex = External Kinetic Energy = W(Vs)2. /2g =ecoD ( M3.[=l @ k- ~Z 'k '5 ~2.. G i 1 - 'l ~ ~ : ~ ~ [ ~ s ,~D= Diameter of Missile = (,p,5 bin. l li-A= Cross Sectional Area = Zot@.4-::% SS O M [,i]_'l __ i i4 --[I= Moment of Inertia =id,b.

f-f-t---d--

~' l X = Depth of Penetration into Concrete (in. ) = B,lj ~ ~ ~ t l l ~l~l~ i l ., _ _ T = Thickness to be just Perforated (in. ) = Zle 9k l _7 - $- Ts = Thickness to be just Scsbbed (in. ) =(M 80 - d,'-.'- -f- - f - e i i ~l' f'c = Compressive Strength of Concrete ='B000.0 psi. ~ l ~ )7 ~' ~ ~i~~i ~ .s p._:. q_ ,'_ fy = Yield Strength of Steel = 36.0 ksi __g,' _ i _ j _ 'i __ i i i fu = Ultimate Strength of Steel = 58.0 ksi. --f-f---4-d-- psi. ~~~'b~~~~~ ~ E = Modulus of Elasticity = 30 x 106 4 4 i N %,_C M_,. ., _ P y = M a x i m u m L o a d a t Y i e l d = A x I y = "2. O Y l M M 4 __m - - Pu = Maximum Load at Ultimate stress = A x fu = ~2 88cy$@'d: S7.,cho E 5 l' P' = Critical Load at Buckling = ( x )2 EI/4(1) N h] ' - ~ " ' -I = Pc = Maximum Bearing Load with Concrete = A x f 'c = ~L-~8 8 0x & ~ ~ ~ =.g, g.;w ___;_ t t ! 5 % # { % sil y M aei % C'X E 7'3 '7' 774-'oY FA l l X

8. Io

~~ F 'EN I N M i U c.== M,g

= % is+f M... _ _....

.m _ t. __g g j [

o. o;o?4-seC_,

= TW 4 %.O F = o;(,Is V.i Q = o GZ GA s.5 y 4-o o D t +8 E 6eo h==.48&.K. _;. I l l

l TRANSNUCLEAR, INC. i MuMwoes \\l-30 l P' ma bis s rRuc RURAL cra a san i 9 m "L(o "E " " ** ' [ VoR Tnt 94hh n Ger4E:'k A~TEh f cau:ec 1o 4 1 '2. R .lL l'L I 221M Ln Aks a Lo AK e nuMJA7 tn%v o ocs otomuay @ L5s t CE TMM cT 09 $TEEEL STRuc_TWRE M W EOM~RI .b.\\RECTIQ)4,' ,l__' l l

,,, j

_IDCAL EFFECTS OF POSTULATED TORNADO GENERATED HISSILE:.. L. t..... 2. MISSILE TYPE ' \\AOlob - fL y; 4 /fd L -, ' - l... d. d 8 l This missile partially penetrates the sliding door. The minimum thickness of a steel plate - ' '. capable of being perforated by the postulated DBT missile is given in Mcdonald (Reference' - f - l to ) and is: ,-.-_-_L. .,_....,_ _.. t. t..,_.,....,. _...t. l T= ( 0.5 M_' V.2 3 2/3 l l i 672d,,, -[ ~ l l l ~-l I '~T~] i Where '- '-I-^m 7-.-

f 7 7--

._L-T = perforation thickness (in.) _ t _ t _ _ _.' -.l _ _l..%_ _ t t 9.;... L ' _ _ = mass of missiles = W/g =._t_\\ 5'.g_.,_, =, _3.,67. ).. . j 6ec,. M,,, l l W = weight = ; uS h, l l l 4_ _ _ _,, _., _ i i i = 32.2 ft/s 7 ~I 'l ~ ! 2 ~ 'T~ii V g = Missile Strike Velocity = 2._7.lZ q_%7 'l~ ~ [s;ec._e___4 '..l__;__T f - i i V, ,__u_ .l_. d,,, = Diameter of missile = _ _JAS ' _t$_ _l_ _l_ _ l_ _ t _ _ _ 4_ d.j _ _'_ _'_ _ t _ 5 1 i i ' 'l- (which is a more convenient form of the Ballistic Research Laboratory ;.- ;-,l i i l ~ (BRL) equation [Ref. '3 for perforation of steel plates with material [ ;-f--l- -I constan -7 f-E-$-- L__ _ _ ,.t t.aken as unity). ... _ _ t _ ;_ _ a _ _ _,. l _, _. _. _ _ t _ t _ ; _.,. _,i __ .t t_ [ '.. - -l N - -(. of'y g,5p zl7z af.-) h l- - l. -.. : - l -.'..-_.l. l.9. -l-. T -_ i T W 2. N 7.c>g,: -l -l - - r,- - l l-7 r-i .,......m_. ...,..,......_<___...,.,...._.u_,..._,_,. _u_ ..:....._ =.o. 5 4_.L, q. w....,_. c _ _...; _ _l _.. _ _ c _._.. _ _.l_.l_ :_ _,_. g _ E h W$ m j ..Mup. IsJmek.... ..,.U s.::- M. 6.. e a I 8 g e g I .I 6 a . L - . L

  • 3..

.,m ..L.- e g t a 3 l e. f y..,........l. .. _ = *., * -. g g a g 8 I 4 g g. -g -j+

  • f i

I i I 1 g g g s e f i I i

F E TRANSNUCLEAR. INC. ~ i kb = e.Jvws W4o T ~ w b rs s rtuc TaRkt cro eA w 2. D w_ 3, A wn -rentAb, coerbMew 3L f '2, i722Iff LnAks dr LoAk r nube rinMarv _ we t o gi _2 R oms l. peoso ev r o l M t5rsCc rme r o9 shL s Ttuctcce-l woTo sorrAt :hmeenott:.L l .... J.. j t:...j 1DCAL' EFFECTS OF POSTULATED TORNADO GENERATED HISSILE: ..t.t____. MISSILE' TYPE - (s.' # 3cM.-&o;Pl% y,5'!L g.. ..j_{.... s ; .....e. ...J. i i l This missile partially penetrates the sliding door. The minimum thickness of a steel plate - ~ I " '. capable of being perforated by the postulated DBT missile is given in hicDonald (Reference- - f - l - -) and is: ,__,______t_ i i i - _.-.,_.........t_t T.= ( 0.5 Mi V.2 2 1 ') a

672d,

" 1 ~' -i~~ ~ ~ ' l' l i-i' '- i - f - - 4 - -l - - - - - l- - [ 7 j 7 Where 7 T = perforation thickness (in.) _ g - _.; _ d _N L'.5, t_,>=.id3 ...__t_t_1... j__ .,L _ M,,, = mass of missiles = W/g =. y

t.. t _

i = weight = ~Z 87i l p ! - - l ' Y - - -l- -l- - l W l l l ,l l e i 2 ~ T 1~~, = 32.2 ft/s g = Missile Strike Velocity = -\\ ~74/Z-kg .' _.<' _ _i -.- -'- l_.'__l-_ --l-- V, _.l -. d,,, = Diameter of missile = _G._ct _ j _ _l _ _'_ _. _ t _ t _ _ _ ; _ j _4_ g_ _l_ _ ' _ c l i i t ~ ~l- (.which is a more convenient form of the Ballistic Research Laboratory- -'.----l--l-- .,i l ~ (BRL) equation [Ref. l] for perforation of steel plates with material 7 ;- f -i - 'I constant taken as unity). .. L _ _ _ _ -.; _ _;_... _ _ t _ t. :...;_ 4 _.. _t_t_;_.'_j_d_.__._L_t_;_4_'__ - d - d - -6 o i.5'y h,'li3)tl70 7 - -hI-'-dJ.- ----!-I-i.. l-- E

l-
-, 7. =;.

.g,g., ,...... 7 . q 4.....m..... 4.;...... _,..... q. 4. _.... _,... ; _ j .___m_ .. c. ... m __._'. _ o. 3_ %,...t w... t _ 't __,___.'_'..___.,__,___;__'e_ u e tkay W cE y eDi: b~1 ~ ~ -[ ~ ~ ...;./,.....p.[..._.;.',......g'gggg.;.pt,143;.l___4.. '**Ie* I ..,.3 .L. O., 8'- t 4 g 8 s e I g I y.y.. t.. ......... y ......g. \\ 8 g a e 6 I s I f j i f .1 et =... d

  • .l.

+ t q e 4 e s y s ...l..' g l g g s ) e e s 1 4 4 i I l [

TRANSNUCLEAR. INC. ' \\.ua om 12-4-14 Y

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~ vms b Ts ai rttue RURAL ctu e%. s.ar 7.3 or-3fa WR Mhh MkTEh m N Gi 'Z. A 3(., om 12 / 2.3.) 92 Lnu dr Lof,w enuNuA Tih%ev. o l.- oamen ev i M L5s 66 IM M d. T 09 Sht.L STRMC.TMN MDTU EOM TAL ; biREcTI.Ott 1.. l.. l j..l .. j i 1DCAL EFFECTS OF POSTUIATED TORNADO GENERATED MISSILE: ..L.t_.. MISSILE TYPE ' 1/ bgE- $,d E .,p g L O %,,. .. l. l. ; 8 i ' This missile partially penetrates the sliding door. The minimum thickness of a steel plate- ~l 3 ~ ~. capable of being perforated by the postulated DBT missile is given in hicDonald (Reference-,' - ->---) and is: L. l..l. it.. _ ! _.'.'.. 8 i T= ( 0.5 M_ V.2128 l l + i i ~ ~[~l 672d,,, l l ' ~I I l ~ r 7 ~ 7 Where -:--I-I 7 ' 1 v = perforation thickness (in.) - _ L _ t - t ! _ ' _ _l_.. _ _ f 7 7 - - j _.- 1 T l t _ t ;.. ; _ l l M. = mass of missiles = W/g = ;6 D$[32_.7,e_.o. z3..1_i_ _ ' _.l.,i _., _. i e l W = weight = ;8. 8 z. k. l l l t l i i g = 32.2 ft/s' T~l l~^ ~' Y ~;'~f I ' T 1 > Y 7 ~f-i = Missile Strike Velocity = -4 Tf-$-hSecy - p - V, 4 p- _l-. d, = Diameter of missile = _G o "__l_.]__:__._t_t.__;_ -l- (which is a more convenient fonn of the Ballistic Research Laboratory- ;.7-l--l--l-- ~ l ~ (BRL) equation [Ref. l3 for perforation of steel plates with material- [ ;- !-i-- -I constan L_. t t.aken as unity). ,77 5-$-- i i i L.L.____ ..L_L_ y.. _ _. _ t,. L _1 _,,i __ i t i 6 l i i

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TRANSNUCLEAR, INC. o . \\.h-A em Y2.-l 4 Y ima b Ts -akue raRAL cta ex swn 2 2. o, Mo mo av ' ~ von -resh n sma=MTew JC-om l 2 f 22/49 cue e io 61_2 R LnAhs & LoAK cnuktlA tismiuv ocoso ey a s o M 155 t 116 IM P A'd T 0 9 5%t=.l._ STbAC f t@.E- . MUR) ECWTAL 'AiREcTl.Ott i.l._;_...j.j .. j t LOCAL EFFECTS OF POSTULATED TORNADO GENERATED MISSILE:..L.t... i MISSILE TYPE ' l.~2 f Sc.({, g-TT. - l---'-],-;,- - -l- [-- . This missile partially penetrates the sliding door. The minimum thickness of a steel plate - i l '. capable of being' perforated by the postulated DBT missile is given in hicDonald (Reference- - f - -) and is: i-.->-- i i i 8 _...,_.i........ t _ t.. . _,_ y _.,.... _.. _t. T= ( 0.5 M_'V.212r3 l l l i -..e.

672d, l

l i i Where -" -f ' 7 7 1 - i- - ----f 7 7-4,-- T = perforation thickness (in.) _ '. _ L L t -.,' - l _ _l _.._ _ t _ t _...., _ l _. M. = mass of missiles - W/g =. 7. S. l_l ' '. 2./.5. 8. ;.2. _ '. l. _.l..,' _.,i _. t -i L i l ~ W = weight = 'T5l bi l l l l l l ' l i i i i l g = 32.2 ft/s' ~ T 'I ~ l i, J T f I' i 'YTf~ i i ~ - -l - - V, = Missile Strike Velocity = -%\\-l-M6od,_ '- 4_.l -:- -;. _i_ _ L _ ..l _. d,,, = Diameter of missile = _12. io.(u,'. _l_ _i_ _ t _ t. _ _.; _.l _.l _ _'_ _!_ _ t. i ~ ~l- (.which is a more convenient form of the Ballistic Research Laboratory ;.- ;-,,,', l i l ' (BRL) equation [Ref. l] for perforation of steel plates with material - 1-- 4 I i i ~I constant t.aken as unity). - 'i e a i ..t_____ ,__,_..__t.t.___,. .t_t ___i _, _. _ _ _ _ t _ t _ 1 _., _.l _ _ i i i - l-1 - - - * - *, - { 0 a.5'y gg yA5%z) - - l- '- - : 7' =. - * - -' - - - - - l- - l- - j - - - *i -- i l l v7 2..y rg. o' --- I ; c : 3- .t ...a i _._..., _.e. _... _ _ a _ e.... _,4 .,. _. _.. _ a. ,......e.,. ..,...._.e_, ....;_ = o.s.2.7.;.: ...__e___ ...',_-l_.... _y_t...__. _.: _ _' i - - g:h% = o 5p 432.Qtpd, z_ e. %, iQgc 4 t t 4..- ,....L l e a. ...L .L ..L - L I i q i i ..( ....L- .._3 ..__3.- 6 h ~~ i 6 t I i 3 4 .t ... L -i .L e e e e ?,. ,3.. 3.. l- - i e t g 4 0 't i e a I . e. . i .. +..... L. + 1 8 I g 4. 3..,.... . f. . - -.. at... ....L - - = = - - - 8 8 I 1 g g g e 4 4 e 4 8 8 4 u.

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e i i MISSILE TYPE ' Woo $ T@N R -- Mk {icg#k h, L p )fr. ~ ~ l ~ ~] i .i. i j This missile partially penetrates the sliding door. The minimum thickness of a steel plate - i ',. capable of being perforated by the postulated DBT missile is given in hicDonald (Reference ~ 'I ~ --) and is: i i ....,......,..t T= ( 0.5 M_ V.212 l l l .. _. _l +

672d, l

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Where - - - f - f T - - ' - > - - '- - f - l 7 - l .L-T = perforation thickness (in.) - _. t L _ _..' _ _l _ _l _. - _ _ _ t _ t l M. = mass of missiles - W/g = uS/5 2.'(z. ; =.' 3. 6 M.,. '. _ '..,;.,i _. _ _ i. l ~~l W = weight = u 5 i il*S. - l l l. l i i i 2 = 32.2 ft/s T,' = Missile Strike Velocity = oi D( '2pg.'l:;_=_I - '.W ki ' J -" I -gec;.___,__ i i J-- g i - -l - V, = Diameter of missile = J414_ _l _ _' _._ _ g 4 ..l -. d, t _ t _ _ 4_.l _ _; _ _l_ _ :_ _ L _ i i i ~ l~ (which is a more convenient fem of the Ballistic Research Laboratory ;.7-l- - l- - l (BRL) equation [Ref, l] for perforation of steel plates with material [ ;-i-i- __.....L.t..____ - 7 t- -$-- constanttakenasunity). l L_ ..[.. .t__L_;_.'_d__l...__.,,t..L_;_[_j._ l T = 10 s.5h d.5 7t xNo.h 7 !--h--II2' -,--!--!--i--l-i ~^"-- i ~ ~ ;1,' M z.;x -) ~o g ~] ] {.. '...... ',..,. ~~~~~r~

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TRANSNUCLEAR. INC. . '. W M 17.-\\ 4Y me bis situeTuRL ctu eA s.<n 7A-at M a=wso ev ' vet -reatm n sces:MTe'h W i2 [22 [9I Lnhu dr LoAK e aANeiihmarv o c.tc.c t o A -2. R om DEcIIO 8Y M t5sKE IMPA cT 0t4 she.L STRucTuyte-M ETR T t d A L. b.WrcTlo3 :. : j j t -9 IACAL EFFECTS OF POSTULATED TORNADO GENERATED MISSILE: 3 MISSILE TYPE - (,45ch Jrd-WN, - lt 5 1-Q;. ..t.t__ - h;*-. ~ ~ l This missile partially penetrates the s5iding door. ' he minimum tl$ickness of a steel plate - 'l

~. capable of being perforated by the postulated DBT missile is given in hicDonald (Reference- -l- -

-) and is: .L. e i 4 ..,_......'.1..L T= ( 0.5 M_ V.2 12r3 l i 672d,,, "I ~ l ~I l l'T']~ 7-Where -E ,'_7 i 7 7- -f 7 7-- L-T = perforation thickness (in.) _ _ 4 c.G.' 6.h g3. _ _ L _ i. _1.., _ 4 _ _ L .t_ M,,, = mass of missiles = W/g =.2. i,, i i l W = weight =. 287 16,,

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~ ~ ' ' ~ " ~ * * ' ' 3 j i 32.2 ft/s' i h[ = Missile Strike Velocity (= @ 4GP'7 Y I D' O % c'.----l-L_ = i i i e i .l_. __:____[_t___;_q_y__l__l__[_ l d = Diameter of missile = o

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~l ~ (which is a more convenient form of the Ballistic Research Laboratory- ;7 ;--l l ' (BRL) equation [Ref. l] for perforation of steel plates with material [ ;-i-i-- - I constan,t taken as unity). 7 t-4 7-~ L _ - _ _,, _.,_..._ L.L y__,,_ ... L L. _ _ _,i.,..___L L_.;. 7 3-. i I t i I i ~ '** ~ **-~D5 f y ~.--t~~ ~ ,-~ 7 =. i l c.7 z. u o l ,- r - t l t _.....n.,p .......L L ........_.L. _ L i .,.._.L.. t 4 i t l 1 .. ' _.....== O.33.5 2.w ...t....... ..l _.. _ _ t. _ t. ._ _ '_J_i.__L_ 6 9l @c % 4):lI s b s3 'X.8e% ~E.I. I_N' 7; ' o t $,,.,lbs. i L ...f. + ._ 4. 5 A 3 6 cL e i l i + t a 4 t S em. O e a n e e i 9 l .I a k L e s 5. 3 L I ~' { t 1 8 3 e 4 s i 1 4 I .t i q 3 +..T.- .~.'a

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I TRANSNUCLEAR. INC, \\.%.M-dA mn Y7.A-- W mm b Ts -;,Ru c runt c ru e o m25 or-3 la mmo av ygg.7,gg} g,, gg Weg 30 (2 f 2.1[9 A LnM a Lo#h enuMWTm%v o egg g g o gg 2, g om OCOWO Oy ~ M 15s t L.E: IM P A cT o t4 sht:: L STRuc.T(CtE V ETR T \\ d A L b.\\RE cTi.o 8 :.; IDCAL EFFECTS OF POSTULATED TORNADO GENERATED HISSILE: ..t.t. D Cta.- k h MISSILE TYPE ~' i This missile partially penetrates the sliding door. The minimum thickness of a steel plate - , capable of being perforated by the postulated DBT missile is given in hicDonald (Reference ~,' - --) and is: ..t i 4 ....,........i..t. i T= ( 0.5 M_ V.2 12') l ~['l i ' ] l ~ ~l + i i l 672d,,, l l l l

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..-s.-p.__,_,.,... ' yy,7, T = perforation thickness (in.).. t _ t _ _ _...l _ _l _. M,,, = mass of missiles = W/g = 842.f g,7,z =, eg7 3_q_ _ ;_ _ ;_ _ l W = weight =,6 67. %. l ~J;'"-' l l 5 i i e i g = 32.2 ft/s' ". ~ l l c~~-"- i i i -l - - V, = Missile Strike Velocity = o.% Q ~l.' *L _% U_T..b./M6.;_ -;_. _ _ L - .l_ d,,, = Diameter of missile = )._o _ lQ _ _l. '. _._ _ L _ ' _ _.; _ j.; _ '_ _._ _ [ _ t i i i ~l ~ (.which is a more convenient form of the Ballistic Research Laboratory- ;.7 ;--;--l-- l ' (BRL) equation [Ref. l] for perforation of steel plates with material l

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~I constan 7 !~1-$-- .. L ___ _. t t.aken as unity). i a t i .. _,_..._.L.a. ,_...h.L_L- ..__L_L a_,_y__ 8 I i i a a1 i [ - - - T' "l"l-( O i$y CA775h\\ \\ '7<!- d l- - l- - ---i -- - - l- - l- - i - - -, - -4 i i i { b7 ...'Z.'y\\eD l ~ ~ l' ~ [ i ~[~ .....l..l. .....y.

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~3 G muuo av - yon.7,magg,, gogg-ga, A rc h A om 17, [2,2 / U Ln Ahs A Lo AK < rie4bajhii8Mrav o cue se to 4 1 '2. R DCOEO of M ts's t CE IMP A dT o14 Sht::.L STRUCTURE V 5TRT \\ d A L biRecTiott :., ' J. IOCAL EFFECTS OF POSTULATED TORNADO GENERATED MISSILE: , - hh - I - l-MISSILE TYPE - 12 'f C e i i , This missile partially penetrates the sliding door. The minimum thickness of a steel plate - i . capable of being perforated by the postulated DBT missile is given m Mcdonald (Reference- - f -

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and is: ,.--..L. . _ l _.,.. :... '. t T= ( 0.5 M_ V.2 32/3 i 672d,,, ~l l ' ~ i i ~~l i 7-yy,7e _..-y-y_3_f _l_.l_ 7._..y_. = perforation thickness (in.) ~. _g_ t _. _ _' _g' .gg.g _ e _ _ -p-T = mass of missiles = W/g =. _l_ _ j _ $_'7_ _ _ l

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M. l W = weight = '7 61 i lbs. l ' i~ ~ ~ ~ ~ ~ ' ' - ~ l l l 4 e i 2 = 32.2 ft/s l~ l = Missile Strike Velocity = oH @b,1 ~:- lf-pl 4 kef-- - _"- _ g i i i h V, ..l -. d, = Diameter of missile = _iZ olt)_ ' _ _'_ _._ _ t _ t _ _ _ ; _ ; _ _l _ _l_ _:_ _ t _ 4 i l~ (which is a more convenient fann of the Ballistic Research Laboratory- ;.7 ;----l-- l (BRL) equation [Ref. l] for perforation of steel plates with material l

- f - -l -

~I~constanttakenasunity). -7 7 2-$-- .. y.....; _ _, _.. _ _ _ t..... ___.; _,_ _ . t _ t. _ _ _.; _ _;.. _ _._ _ t _ p _ ;. _ ;.; _ _ i 0 6Y Z3 3Z'g lheks ) F*[ - - - - $ - i ~~- ' "~ - - - - l-L - i - - - -t T-i u 7 z.- y l 2.. o' ~~i ~-. i i ~ ~ ~; - l ~-i 7- ..q.... _........_..:.... . _,...__.;..:.g..._m_ ..:... M. o. 32 8.h : ... __L _L. -_ l ..__:____~l

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TRANSNUCLEAR, INC. \\. uv%4 mu W -W 8'muo er ~ = b rs s TRuc roRAL cnt et w 7.3 m_ % ygn.7,agggg n g4=g-$;g A reg _J L,,. om 11 l '> 2.[4Y Ln Ads dr LoAK enuNtwTinWv _ eg,3 fo A-2f2, o VM 6%A M M NV OEMD1 N b i IhCAL EFFEC"S OF POSTULATED TORNADO GENERATED MISSILE:' ' Oh C ONC.M Tr 5 TbAC TuM? - -. .... t t _ ,t s --(MmfW Yd' DIRECTION)~ ..t... l l Depth of Perforation Scabbing Kinetic Force of Penetration. Thickness Thickness Energy Impact. i e Missile (i -) (i"-) (i"*) --Ift Ib'*) IM -) ...,._..."...tt___-..,I f 4 A. Wood 1* lank i 1 ,__'__t-c t. ,.,y... .,.., g g,__,.. g,,g l g3. 9.. 7...,, , e,y l i

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