ML20107L293

Fort St Vrain-Tendon Requirements Based on Safety Consideration

ML20107L293
Person / Time
Site:	Fort Saint Vrain
Issue date:	12/17/1984
From:	Lee T GENERAL ATOMICS (FORMERLY GA TECHNOLOGIES, INC./GENER
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ML20107L283	List: ML20107L280 ML20107L293
References
907738, NUDOCS 8502280588
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TITLE FSV - TENDON REQUIREMENTS BASED ON SAFETY DR&D APPROVAL LEVEL _

2 O DV & S CONSIDERATION gl DESIGN DISCIPUNE SYSTEM 00C. TYPE PROJECT

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.2 GA TECHNOLOGIES INC.

TITLE: FSV. TENDON REQUIREMENTS BASED ON SAFETY CONSIDERATION DOCUMENT NO.

907738 ISSUE NO./LTR. N/C TABLE OF CONTENTS fagg 3

1.

SUMMARY

2.

MATERIAL PROPERTIES.............................................

3 3

DEFINITION OF NUMBER OF TENDONS.................................

4 4.

CIRCUMFERENTIAL TENDONS IN PCRV WALL............................

5 5.

TENDONS IN FCRV TOP AND BOTTOM HEADS e...........................

6 6.

CONCLUSIONS.....................................................

7 7.

REFERENCES......................................................

7 Appendix A: Number of Circumferential Tendons......................

A1 In the PCRV Wall Appendix B: Number of PCRV Head Tendons............................

B1 Appendix C: Calculation Review Report..............................

C1 l

LIST OF TABLES l

1.

Minimum Numbers of Circumferential Tendons In Wall Section......

9 LIST OF FIGURES g

l 1.

Number of Head Tendons Required in Each Head to Support 1.0 RP..

10 2.

Number of Head Tendons Required in Each Head to Support 1.5 RP..

11 i

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TITLE: FSV - TENDON REQUIREMENTS BASED ON SAFETY CONSIDERATION DOCUMENT NO.

907738 ISSUE NO./LTR. N/C 1.

SUMMARY

The minimum numbers of tendons required for safely supporting the' core cavity pressure of 845 psig (Reference Pressure, RP) and 1268 psig (1.5 RP) without breaching the liner of the Fort St. Vrain PCRV have been determined for

1) circumferential tendons in the PCRV wall and 2) crosshead and. circum-forential tendens in the heads of the PCRV.

Hand calculations based on the concept of ultimate load analysis are used.

No calculation is performed for

.the vertical tendons in this study. Per Ref.1, the PCRV can resist up to 1515 psig cavity pressure with only the rebars acting, i.e., without reliance on any vertical prestress.

The results are given in Table'1 and Figs. 1 and 2.

These results indicate that the core cavity pressure of 1.0 RP can be safely resisted with consider-ably less number of tendons than is actually provided. With 1.5 RP, the number

-of head tendons required is still less than that actually provided. The dif-forence, however, is small if no vertical tendons exist as assumed in the analysis.

Existence of vertical tendons will require less number of head tendons to resist 1.0 and 1.5 RP.

The procedure used in the study is described in the following. sections.

Detailed calculations are given in the appendices.

l.

2.

MATERIAL PROPERTIES Material properties used in this analysis are (Ref. 1):

Concrete Compressive strength t'e = 6000 psi Liner:

j Material = SA 537, Gr. B

. Yield strength fsy = 60,000 psi (at 0.2% offset)

Tensile strength f's = 80,000 psi (Ref. 2)

F'ailure strain c' = 185 (Ref. 2) 6 Modulus of elasticity E = 29 x 10 _ pai l

l Page 3

.. -.. a..... - :.;

GATECHNOL0GIES I N C.

TITLE: FSV - TENDON REQUIREMENTS BASED ON SAFETY CONSIDERATION DOCUMENT NO.

907738 ISSUE NO./LT3. N/C Tendon Wires:

Tensile strength f's = 240,000 psi Yield strength f,y - 204,000 psi (at 15 strain)

Failure strain c' = 45 6

Modulus of elasticity E = 27 x 10 psi Rebars:

Material = A432 Tensile strength f a = 90,000 psi Yield strength'f37 = 60,000 psi Failure strain c' = 75

'6 Modulus of elasticity E = 29 x 10 psi 3

DEFINITION OF NUMBERS OF TENDONS The Fort St. Vrain PCRV has, in addition to 90 vertical tendons with 169 1/4-in. diame*er wires each, 210 circumferential tendons with 152 1/4-in.

diameter wires each, 100 circumferential tendons with 169 1/4-in. diameter wires each, and 48 crosshead tendons with 1691/4-in. diameter wires each.

All 210152-wire circumferential tendons are in the barrel section. Of the 100 -169-wire circumferential tendons, 34 are in the top head (the top.15'-6" section), 34 in the bottom head (the botton 15'-6" section), and 16 each in the barrel sections adjacent to the top and bottom heads. Each head has 24 cross-l

- head tendons.

All circumferential tendons are 1800 tendont rather than full circle tendons (see Fig.

E.15-2, Ref.

1)..

Because of the arrangement of these 0

tendons, of the 18 circumferential (180 ) tendons in a typical five-foot high wall section, a minimum of.12 pass any cross section. Hence 18 actual circum-l forential tendons provide 12 " effective" circumferential tendons'. Similarly in

- the top or bottom head, 34 actual circumferential tendons provide 22 effective r

circumferential tendons.

l The following definitions are used in this report:

• e Page 4 L:

l GA TECHNOLOGIES I N C.

TITLE: FSV - TENDON REQUIREMENTS BASED ON SAFETY CONSIDERATION DOCUMENT NO.

907738 ISSUE NO./LTR. N/C Nb = Number of effective circumferential tendons in a 5-foot high wall eection (12 in existence).

Ne = Number of effective circumferential tendons in the top or bottom head (22 in existence).

Nx = Number of crosshead tendens in the top or bottom head (24 in existence).

It is assumed that there is no broken wire in any tendon and that the required tendons in each group are uniformly distributed.

4.

CIRCUMFERENTIAL TENDONS IN PCRV WALL For the determination of the required number of circumferential tendens in the PCRV. wall a typical five-foot high wall section was considered.

It is assumed that ultimate conditions are reached at 1.0 RP or 1.5 RP for the purpose of this analysis. The core cavity liner is anchored to the concrete by means of studs welded to the liner and embedded in the concrete.

The stud spacings are 7-1/2 in. in.both circumferential and axial directions.

It is assumed that, at ultimate, radial concrete cracks would develop at stud anchor locations and that resistance to the core cavity pressure is provided by the steel elements acting as multiple structural rings. The steel elements include the liner, and circumferential tendons and rebars at various radial locations.

With the liner and rebar cross-sectional areas known, the number of tendons required to provide a total pressure resistance capacity for the core cavity pressure of 1.0 RP or 1.5 RP, and meeting the selected limit criteria can be determined from equilibrium and strain compatibility.

The tendon prestress loss at end of life is assumed to be 13 5% (Ref.1),

and the friction loss is assumed to be 11.55 (Ref. 3) in these calculations.

Two limit criteria are used in this case:

1) Liner stress = 0.9 t sye Tendon stresses 5 t's, and Rebar stresses 5 f',

2) Maximum tendon stress = t',,

Liner stress < f's, and Rebar stresses 5 f',

Page 5

GA TECHNOLOGIES INC.

TITLE: -FSV - TENDON REQUIREMENTS BASED ON SAFETY CONSIDERATION DOCUMENT NO.

907738 ISSUE NO./LTR. N/C Obviously the first criterion is the more stringent and results in.a larger number of. tendons being required.

The required numbers of circumferential tendons in the PCRV wall for the above two limit conditions are shown in Table 1.

5.

TENDONS IN PCRV TOP AND BOTTOM HEADS The required number of crosshead and circumferential tendons in the PCRV top and bottom heads to safely support 1.0 RP and 1.5 RP without breaching of

-the liner boundary are determined by ultimate load analy:is of the bottom head.

Four quasi-analytical solutions were originally used in assessing. the ultimate capacity of the Fort St. Vrain PCRV heads (Ref. 1).

These are: 1) 4 bottom head yield line failure analysis, 2) bottoc: head punching shear failure analysis, 3) bottom head concrete ligament compressive failure analysis, and 4) top head analysis by grid system simulation. In the case of 34 circumferential and 24 crosshead tendons in each head and 90 vertical tendons, the yield line analysis provided the lowest estimate of the ultimate pressure capacity,~~while the concrete ligament compressive failure analysis provided the highest, about three times as high as the lowest estimate.

The top head grid analysis requires use of a computer program.

Based on the.above observations it was. decided to use the yield line failure analysis method for the ultimate load analysis in the current study, and to check the results using the punching stress failure analysis.

The assumptions and detailed procedure used in the bottom head yield line analysis follow those used in Ref. 1.

Based on an ascu:ed number of crosshead tendons the resultant pressure which must be resisted by the bottom head (cavity pressure reduced by the ' cavity pressure equivalent of crosshead tendons, Ref. 1) is first calculated. By assuming formation of a plastic hinge at the head-to-wall junction (signified by 0.003 in/in maximum concrete strain and/or yielding of -liner and majority of rebars in tension), and a yield line pattern (generally radial along concrete ligaments) the unit. yield line moment required to prevent this particular yield line mode of failure under.the given cavity pressure (1.0 RP or 1.5 RP) can be determined.

The number of circum-forential tendons required to provide an ultimate moment -capacity along the

, yield line which is larger than the required unit yield line moment is then established. The ultimate moment capacity of the bottcz head is defined by the following stress limits'(Ref. 1):

i Page 6

..u-..,

GA TECHNOLOGIES INC.

TITLE: FSV - TENDON REQUIREMENTS BASED ON SAFETY CONSIDERATION DOCUMENT NO.

907738 ISSUE NO./LTR. N/C Maximum rebar stress 5 0.9 f,y,.

Maximum tendon stress 5 0.9 fsy, and Maximum compressive concrete stress 5 0.85 f'c The tendon prestress losses at end of life are assumed to be 12% for both crosshead and circumferential tendons (Ref. 1) and the friction losses are assumed to be 10% and 11.5%, respectively for these two types of tendons (Ref.

3).

The yield line failure analysis in the current study is based on the assumption that no vertical tendons exist.

The required number of tendons based on the results of the yield line failure analysis are shown graphically in Figs. 1 and 2.

For the punching shear failure analysis of the bottom head the failure plane is assumed to be the one formed by the concrete ligaments connecting the steam generator penetrations (Ref. 1).

Reference 4 provides -an equation to estimate the ultimate shearing strength of PCRV heads as a function of span /

3 depth ratio'and radial prestress. Based on this equation and the number of head

' tendons required as determined by the yield line failure analysis, it is found that the punching shear stress is not critical for either the 1.0 RP or the 1.5 RP cases.,

6.

CONCLUSIONS The required numbers of circumferential tendons in the Fort St. Vrain PCRV wall to. safely support the cavity pressure of 1.0 RP and 1.5 RP are given in Table

1. The corr'esponding required numbers of crosshead and circumferential tendons in either top or bottom head of the PCRV, derived under a conservative assumption of no vertical prestress, are given in Figs. 1 and 2.

From Fig. 2, it appears that under 1.5 RP the permissible reduction in the numbers of crosshead and circumferential tendons in the heads is small if no

-vertical prestressing tendons exist.

7.

REFERENCES 1.

" Fort St. Vrain Nuclear Generating Station.

Updated Final Safety Analysis Report."

2.

ASTM, " Specification - for Carbon-Manganese-Silicon Steel Plates, Heat Treated for Pressure Vessels. SA-537."

Page 7

GA TECHNOLOGIES I N C.

TITLE: FSV - TENDON REQUIREMENTS BASED ON SAFETY CONSIDERATION DOCUMENT NO.

907738 ISSUE NO./LTR. N/C 3

Lee, T. T.

and Cheung, K.

C.,

"FSV - PCRV Tendon Evaluation," GA Document 907441/A, April 30, 1984.

4.

Garas, F.

K.

and Trovadale, D.

R.,

" Overload Behavior and Shear Failure Mechanisms of Model No. 2 of the Bottom Head of the Fort I

St. Vrain Prestressed Concrete Reactor Vessel," Report 14H/69/1411 Taylor Woodrow Construction, Ltd., September 1969.

5.

Bresler, B.,

" Reinforced. Concrete Engineering," Vol. 1 Materials Structural Elements, Safety, John Wiley & Sons, New York, 1974 6.

"PCRV Bottom Head, Reinforcing Plan, Sheet 1 " Drawing 3614, B-36/J, Sargent & Lundy, March 1969.

7.

"PCRV Botton Head, Reinforcing Schedule and Details, Sheet 1," Drawing 3614. B-37/E, Sargent & Lundy, October 1969.

8.

"PCRV Bottom Head, Reinforcing Plan, Sheet 2," Drawing 3614, B-38/K, i

Sargent & Lundy, April 1969.

9.

"PCRV Bottom Head, Reinforcing Schedule & Details, Sheet 2," Drawing 3614, B-39/E, Sargent & Lundy, December 1968.

i 10.

"PCRV Bottom Head, Reinforcing Schedule & Details, Sheet 3." Drawing 3614, B-40/D, Sargent & Lundy.

11.

"PCRV Bottom Half Vertical Section," Drawing 3614, B-35/S, Sargent &

Lundy, December 1969.

12.

"PCRV Bottom Head. Tendon Tubes Details," Drawings 3614, B-21/E and B-22/D, Sargent & Lundy, October 1969.

NOTE:

References 5 through 12 are cited in the appendices.

Page 8

GA TECHNOLOGIES I N C.

. TITLE: FSV - TENDON REQUIREMENTS BASED ON SAFETY CONSIDERATION DOCUMENT NO.

907738 ISSUE NO./LTR. N/C 9

TABLE 1 MINIMUM NUMBERS OF CIRCUMFERENTIAL TENDONS IN WALL SECTION J

Number of Ten s

Percentage o endons

]

Required (N )

Required b

Criterion 1.0 RP(3) 1.5 RP 1.0 RP 1.5 RP Liner Stress 5

9 42%

75%

0.9 f,7

=

Max. Tendon 3

5 255 42%

(4)

Stress = t'3 (I) Number of effective tendons required per 5-foot high section.

See the text I ) for definition of NPercentageoftendoNscurrentlyprovidedinanyregionofthePCRVwall.It is assumed that the required tendons are located uniformly in the region under consideration.

1.0 RP = 845 paig.

The liner strain is 0.046 in./in when the maximum tendon stress is f',,

e.

l t.

O Page 9

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l GA TECHNOLOGIES INC.

TITLE: TSV - TENDON REQUIREMENTS BASED ON SAFETY CONSIDERATION DOCUMENT NO. 907738 ISSUE NO./LTR. N/C g

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TITLE: FSV - TENDON REQUIREMENTS BASED ON SAFETY CONSIDERATION DOCUMENT NO.

907738 ISSUE NO./LTR. N/C fe/~Cet)fafe of Cr*0$$ bead /ersdons RefditYd

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DD 907738/N/C APPENDIX A NUMBER OF CIRCUMFERENTIAL TENDONS IN THE PCRV WALL l

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DD 907738/N/C TABE OF CONTENTS - APPENDIX A M

A.1. CASES CONSIDERED................................................

A3 A.2 LOCATIONS OF STEEL COMPONENTS...................................

A3 A.3 MATERIAL PROPERTIES.............................................

A5 A.4' ASSUMPTIONS.....................................................

A9 A.5 COMPATIBILITY...................................................

All A.6 CONTRIBUTION TO PRESSURE CAPACITY...............................

A12 A.7 CALCULATION OF MINIMUM TENDONS REQUIRED.........................

A14 A.8

SUMMARY

OF CALCULATED RESULTS...................................

A20.

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4 CALCULATION SHEET CALCULATIONS FOR 47;- E0uir.NO. PROJ. CALC. N O. 907788 N/c PQEN/f 0F DATE REF. DOCUMENTS: PREPARED BY 7 7 g jfjjg g CHECKED BY DATE l renns ~ 4 m Tajks n-a MivyJ e-c are s>,'t.e s. f5,- pngsss un r4 icy a:ro s, s h // /,- 4 kblft A"3 d"W h $ / k f elsi 7/Je C/o h

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O 4 O DD 907738/N/C O 9 APPENDIX B NUMBER OF PCRV HEAD TENDONS e S Page B1 O

e .n.. DD 907738/N/C TABLE OF CONTENTS - APPENDIX B . Pag B.1 YIELD LINE MODE OF FAILURE.................................... B3 B.1.1 Basic Assumptions...................................... B3 B.1.2 Calculational Procedure................................ B4 B.1.3 Net Head Pressure Load................................. B6 B.1.4 Boundary Force......................................... B8 ~ B.1.5 Boundary Moment........................................ B9 -B.1.6 Unit Yield Line Moment................................. B30 B.1.7 Moment Capacity Along Yield Lines...................... B45 B.1.8 Required Number of Head Tendons........................ B58 B.2 POTENTIAL FAILURE MODE WITH A YIELD LINE AT................... B60 EDGE OF CORE CAVITY B.3 PUNCHING SHEAR MODE OF FAILURE................................ B78 4 i l I l' l i l Page B2 l l a.

.m CALCULATION SHEET ..,,,,,y,,,, CALCULATIONS FOR ( EQUIP. NO. PROJ. CALC. N O. 907738 w/C PAGE g3 0F PREPARED BY 7 j DATE,, p p j g REF. DOCUMENTS: CHECKE0 8Y DATE 1 2 fielot Iine Made o/ fa;4 ire B. I. 4 5 Ib f d/ht si2 is erforojec/ //)e befon2 s.s qp cov S] /)-eref rad)e cred -fo / AP o i-9 t'S$ilf <?. blC<'fGk'o nal We .T lcfarlle / Ybale Psg a p y,.te,. A tion

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CALCULATION SHEET c4 = mv. CALCULATIONS FOR Eauir. n0. PROJ. CALC.NO. 907738 N/C PAGE 833 DF CATE REF. DOCUMENTS: PREPARED BY 7 g, fffj7 g CHECKE0 BY DATE 1 2 Ne /ct parteen 0-A -B -C (See Rf. B-J): 4 ) 5 Referriy h By'. 8-s, & inomed about Line A 9' due to r/x aniGrm dt.r/rihak / 9 'O f))o 171 f n / sn o' 5 : 11 =.2me[ing]f' l'f _,, = 2 m e cos & 49 14 15 =~ Q tysr :so $, 16 br-ts;s cne, 6, = fi ' 3o ' c nf. e-4 ) la //entf, & < 7% !"x.x, C.See fad /e B - /d) ' 20 Mc-c ' " k/g,,, = 2 (RO x md W0 S c.45f s to ? sds-in ~ 24 25 dat to Ex.o ove r //-H '. t 27 3 2 x 4/ Ts T l 28 I N1 x/N x 72 P l n C-c, = )?.txio x ,p, 30 e 1 - = /. 4 4 ? x to tbs -in 31 ss [ [ .6 Yl)C [. 9, o f k _x d'W M~N 00d E * (~ l 35 / s' Ge 87. e-0 =

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.. 3.. f CALCULATION SHEET CALddLATIONS FOR 's EQUIP. N O. PROJ. CALC.NO. 907738 . N/c PAGE 8f4:'F y 7g DATE,,7,7 jf g REF. DOCUMENTS: PREPARED BY CHECKED BY DATE ] 1 2 3 4 5 6 7 8 A UNIFORM 9 d9 MOMENT m / i'"a '" 'o , \\ N 11 6 m i4 1 i i 8 I i i5 e' 16 17 l i8 19 A' 20 21 D \\ 23 l 24 25 i 26 1 Mo B-5 /- 27 28 l 29 30 31 l - 32 33 34 35 36 .,.nn. ..z..

~X 7: 2ee. v////// 907738 N/c 0 15'6" ) I tA' ~ 5LW iD'i1'[ _/ 2 9 ID l A D' ' (8 )C-C ,1 3 G 1 L ( f l -E' " l# j iE (V3 ) C-C. = 11' 0 gY1 I -E. M 0" E /(Y MOMENT AXISC-C' \\ I -E. = 12* r a E g 2 E' E MOMENT AXIS E-E' e NOTE: FT.1 ISCENTROID OF AREAOlF FT. 2 IS CENTROID OF AREA ADGF ( y9 ) C-C' = 10' 10" FT. 3 15 CENTROID OF AREA A8HF };ry B-6 ... Potential Failure Mode 4 __,s

CALCULATION SHEET y,,,, m,,,, CALCULATIONS FOR .m --i EQUIP. NO' REF. DO CUMENTS: 7 7 i c.e DATE,,/f7 ,,,,,,,, S Y CHECKED BY DATE 1 2 /0 d* d $*f ? / E //- 7, kt CWr /}}en eAFZ = 7-7 C 'rdf = p Sa i/ s Gr, fro;o(s/ cla). ,/r om c-c' = e 'io ^ s c.o u = i9ren /)BNf = Q (io2 tth)'s?">}&S h' CW,> /roi&/ dis}. from c-c ' = si ' = / 3 2 i'> - 12 //ence mornod adoat c-e '. Se fa N:e 14 (OA8HI)'R i: : ._.I ce vi}. ressc/re on Mc_,,= 2 t[cre" ' *)

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\\' CALCULATION SHEET ~ CALCULATIONS FOR ~ ( EQUIP. NO. PROJ. CALC. N O. gg773g 'NN PAGE B3708 PREPARED BY OATE,,fffjg REF. DOCUMENTS: 7 7 CHECKE0 BY DATE 1 2 lC/ /0 /4. 184 Vnil It'/d /in + @ 0 *r *0Y f*! dll 0-n -s .e. ym oh st y y-,n ., n,u ym.. -. a nc so rse c - c ' a';, <ciM l 6, ;osi v;n t yanis is (See 57. B-7) : 12 13 'O'%'i,$ 2 l ' 7 % r '4 x,-c - '; v 16 11

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7 x fee "//! Ad 907738 Nic B3E 76 ) f~ 0 i,T 42 17 A* I ( $\\ I p 14 3 & 'D 1 142 i

• f "

ce jgg-14u ' f =A~ 72 142 / C' C-I 72 = DIMENSIONS IN INCHES PROJECTED LENGTH OF YlELD LINE OADE ON Axis E-E' = 164 IN. PROJECTED LENGTH OF YlELD LINE CABC ON AXIS C-C' = 188 IN. " Figure ' 5-7 Projected Length of Yield Line 96/W W ob -.v.-,.-e%-,.%,,., -,, - -, - - -,. _, -. - - - - -, -+,...,n.ww,- w,---.--+r-y.. ,wn,--ee v-

l Y CALCULATION SHEET c m y. CALCULATIONS FOR D) EQUIP. NO. PROJ. CALC.NO. 907738. N/c PAoEestor REF. DOCUMENTS: 7 7 pg DATE,,/jffg PREPARED 8Y CHECKED BY DATE g 1 2 flefd etffeen O-A - D-E c ca/calesfsn. done /2ej-eafi} the siinsfor f r J ie /d jazhrn 0 8-c. 9 De.e -to hiz.o

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CALCULATION SHEET e4 =.<..v..,, CALCULATIONS FOR 'Q. EQUIP. N O. PROJ. CALC.NO. 907738. w/C PAGE d(4 U 7 OATE,, g j g REF. DO CUMENTS: PREPARE 0 BY DATE ~ CHECKED BY 1 2 3 }cj-y g gg y,,, jefg /;spe gom,nf f st/ 4 M s m, nf.s efsszy 0-A .P-E. 6 ] Tbe Coa l> ssr*n/3 o/ fa /* / y le // /> 4 e.m a"*b fr irjed t#cleo/ J me h pl ,Mc F~ E ' d Xi: n / s (p,y, g-7) : 12 O( 7 % + k 7 2. ???D-c-) ,s Pe 3-E ( 15 d 4 M, y _ This 6e fa o e.e s f/> -e h; -z: ' tah / den e / 18 NE ~E's lb/* l J,}& O X 70 1

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~ . CALCULATION SHEET .4 = c v. CALCULATIONS FOR EQUIP. NO. PROJ. CALC.NO. 907738 d/C, PAGE Bd/0F PREPARED BY DATE REF. DOCUMENTS: .f.. 7, g ff f,7 7g CHECKED SY DATE 1 2 /a L}e B-/f ~ 3 &{ nil Y}e/d Jim Momenh a ~ f% fie/oc )31/cro 0 ,9 -B -c, / RP 7 O { /-? /h W hl, 9 10 I /$do 0 // 4 f. / C/Sf /S? $$ ~fe 2.l ~ sg 12 13 }~2-4 ]k y1 <47 cr. I ci 3 is 16 Re:MCv:6 dK 9 '?g tyt s > s-cr/ Pressum 1s_ 19 y IO O. [Sf

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. CALCULATION SHEET c4= mv... CALCULATIONS FO R EQUIP. NO. PROJ. CALC. NO. 907788 g/C PAGE Ad2' 0F PREPARED SY DATE,,f,7 p,g REF. DOCUMENTS: 7 7 CHECKED 8Y DATE '1 To A le B-/ 4 3 &{ nil %'e/ct fin, Moments a ! RP 7% fi e /oc B #ces o - s - D - E., 7 o t' /-2. i) 14 N, 9 10 M / rso. o // cc. t c/r.7 -'3f St -2s.2. ? s-t 12 13 f f5& 2/ ? d 9. 7 sr. / r/. 3 1-4 1s 16 bs&L&;f (({ 99 4 [ g 11 fressum la 19 Ml_{ - c..e /g. o ig( o.o gj - o o ig o.o o.p_, 20 22 E-E y f -0.9dd - o. ft q ' -o.7?/ -o.67f -o. if l pae u 24 25 e ,y j Wis.;s) Ans:.

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s' CALCULATION SHEET ca n. mw. 1 CALCULATIONS FOR n EQUIP. NO. PROJ. CALC.NO. 907738 N/C PAGE B4f DF 7-gge DATE,, /f7 ffg REF. DOCUMENTS: PREPARED BY CHECKED BY DATE 1 2 A. /. 7 M om enf Uo' pe ca% AfoM 7;'e// bnes 3 4 / s Mom ent cef<oc'9;o rse /200,> c ci' eck n r prwxes s, t e c ;,ca - A n o b i k n a k s h Circumfeten he / /e A*C on d Orc /tft ie 'O 11 e Sh h // f ed hr-S tL Cfort 3+c4 h airf unif '2 13 e;d N olo } a reenl y/o// N'? e. H 1G g, hj g ; 17. is i) Msyi-am tendon afra: -09( r!"l') 2.) /Arxi mym cenetete J//2tr'n S

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CALCULATIONS FOR = .- y EQUIP. N O. PROJ. CALC. N O. 907788 N/c PAGEpg70F DATE REF. 00CUMENTS: PREPARED BY 7 7 gg ff /fy 7g CHECKED BY DATE 1 & bars : A. B N -3 o Cd -Bifa) -3260 3 Sl #~0 A B N - 3 a ci), -34cn, - > cci) 5 6 x g ;; -f o (i) ~g / O), -42 p) 7 48M-d 3 O). - 44(a). ~ GLY') 9 4 B N - d c' ). -G Ca). 11 C Co Dh e'?: tbfet y c ke'h5, fb?vnid G C.c= /*!c 1< c;fcle. 15 ~ 18 19 20 21 23 24 25 26 27 t 28 29 30 31 m y ./y 34 35 36

CALCULATION SHEET o,,,,,,,, CALCULATIONS FOR m EQUIP. NO. PROJ. CALC.NO. 9G7738 N/c PAGE 8d/CF PREPARED BY DATE REF. DOCUMENTS: p/y/g 7, 7 j g, ff f CHECKED BY DATE 1 2 [ffe c/' of 50l'f/*/1a l fMfSWe cur'k**n /S're b ben : 4 5 I hf Cb/'Weh & /ESSie n dn4-g,,, s -. i . 1. >. i - - -,+ a i+c Tot-i fteret tioe te,jr M ,o 11 }.32 % =

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.} s CALCULATION SHEET u m. mv. CALCULATIONS FOR

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EQUIP.NO. PROJ. CALC. NO. 901738 N/c. PAGE g(/ DF ~ PREPARED BY 7 j gf ,, //M/u REF.00CUMENTS: DATE CHECKED BY DATE 1 2 NO/??d'?f 0/acth hs" g/,,;/' (dia(fk A}gnf fje/ef kine

• 4

/ 5 l 8 c ~ +, 8 Vf e 'l + 10 q g 11 c.! +/' 12 N 13 / W o4J 4* W 5f fe & ? 14 c.f. -f reb e d = G,

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g' CALCULATION SHEET CALCULATIONS FOR EQUIP. N O. PROJ. CALC. N O. 907788 g[c PAGE 3 So0F PREPARED BY DATE REF. DOCUMENTS: 7 7 ,,fj g y CHECKED BY DATE 1 2 h tte /b f fCShS Si h asn afress o r e a f si n - s a a *? f '< i-e. n](s. rre ) = o. s-gr ;{ '- i.so. r hst S / / j'iefiosr ef/ec/' Acss r O'ef. r, Toole.O-*), @f 5 ) g brfa D n6 r p/rQln in f#osfd n i5 f &'OOV$$ in.ls%. C/~~)1.4) ~ 14 fp-@s-fess /n &creft ; j 16 Tok / h o do>> f rce or end al' /'fe : 18 f= Wlx?3S~>/30.f Af? 20 b,$ = J. 97? ^/e' Mfin. wid74 o., g,'GNW

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CALCULATION SHEET CA 20S (7 EV. 4/82) CALCULATIONS FOR .a 1 EQUIP. NO. PROJ. CALC.NO. 907738 N/c PAGE Jf/0F OATE,, g j g REF.00CUMENTS: PREPARED SY 7 g CHECKED 8Y DATE .1 2 g nggt 7, yhf n s; 3 Of febar-fo co A/h. 5 4..r -o.o Eg f - .< ls .c = g, S.t h dc k ! *-< 8 A x so 74 /b 7 8 DK4 h Moir;#nt- ,10 - c.7 f = 1g er,. n J.;n,;r. Max. iesar.rkess =- 12 Re4ac 3fra;o of //mif.- 14 15 S'd =. o.00 f[d' In.j)in. 1s g o,o 17 seebar 5/rajo dee 6 mo a ~>f #- 0

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L 1 CALCULATION SHEET ca m c v... CALCULATIONS FOR 'l EQUIP.NO. PROJ. CALC. NO. 907738 r//c PAGE65,2 0F OATE REF. 00CUMENTS: 7 7 g ,, f,7 /pg PREPARED BY CHECKED BY DATE 1 fesp&n s ': 2 3 A h * // f ~ % 4 , O.OoffC s T 5 7/ -x 6 it?-% g o, y .p. sq.5 ,o e o = . fe. A f ,3 s, f +- = 7 cers) f = j N' = 3 37' fe l-94 j ?. 9 $ Ne Cth/in..) 'o = Of ter;> 12 '3 Concrete - x X o.ocirc '\\ _. 47 toc. sita;n = g _~ G ~,yg_x t ,7 g -x e 16 h7ax. shs s. [ = Ee Q = x x io ' x 0 'o*/Pd 18 19 930# # ( sj) m '?9 5 20 75tn/ frcs in ca ncte fe. 22 4t ro x' y. le 23 cilsli+ } fc = = 2 2< /7c-x 25 hhcf" af j/GSette It)$dC /k"Ob'A - 16 2' f = 6/o x c /fsj';,,.) 7 2. 30 31 f ) 32 ./ 33 as 35 36 -.-,-----e -4 r-- .--r>--m v v y w --- ----

y CALCULATION SHEET c _,,,, CALCULATIONS FOR } EQUIP. NO. PROJ. CALC.NO. 907738 /fc PAGE BS3 D: ) PREPARED BY j7 OATE,,fj,7 g REF.00CUMENTS: CHECKED BY DATE 1 2 and'cn af as Adriam.* 3 s 6 C g 7 $6 CO X yy-x e " di o X = /2.fN /3 a. ? " Sb.e? e /Jc-x '74 -z n -+-49/o 12 <fSS o X'-r dro x(/79 -X) = /P.f Al' Bo.2(G#-Z) '3 e 14 /f.f NL C/// - N) ro.'E + 16 61?o (epf-x) + 18 (4dSO~$/o)X 6/Of]f f /Of*/30.f Wc 20 +/E9 90.18 M; + 61 P ) x 22 - (/t.7 wiriso.pi?f +i?f ^'l //hmt cch x syg) = o + 26 $0 $0 -t-li/2)20 + S f 2 -2. N ' ) e g - C//> 2 s>c + s-e >> r3 N; ) =.o 30 31 , ~. y / ( i ag ( -l + / 4'# ~ 22 I= 4 a. c Czyckc;b): M - $-1N v30sx* + 4 ( ar-z)

• N 0 71-X) 9 y

CALCULATION SHEET .., m y,,,, CALCULATIONS FOR EQUIP. NO. PROJ. CALC. N O. 907738. w/c PAGE B f(OF REF. DOCUMENTS: PREPARED BY OATE 7 7 fffff g CHECKE0 8Y DATE 1 / f/e p-if /UO/7?!n/

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6 7 Ni s# a -3 o >p 8 9 10 11 6 13 14 c 15 i*. 16 g, s9. 2 cio.y l

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lc, j j l 3 42r J1f5 l 9 /67 30 3 / I 20 i;a%) 9 0.o 70 7+fH MT 19 4 YPM l ~ 2, 22 I! l f on}ll t s), 79 l t s-f. /t j i gj.3 f i sf g > t 22 i 24 I-5 W4i '#E 14 %3 l 10 37f d ']s 25 28 fr. (/bs/in.) 6$[O~ M& dVEo dVSO gy, 28 V7(io'gs;f) // 2 7 i s. y r i0 i7 .7 4 / 30 31 33 M c 35 36

4 CALCULATION SHEET i n v. CALCULATIONS FOR EQUIP. NO. PROJ. CALC. NO. 907738 N/c PAGiBff0F 7 DATE,, jf7 7 g REF. DOCUMENTS: PREPAR' 0 BY 6 CHECKED 8Y DATE 1 2 lh b /s B-jf / )o m #n/ Co e;& (Gp,/ nard) V 4 5 8 7 $c. )h 22 .2 o /g 5 10 11 12 4 b 13 l 14 15 l 18

g. A.

ji Cia)Y Y' h 2d '? 3/ 4$ 32 )b ( 11 y 1s t cfsi) ?! '"/4 s-

• 55 T c, im ll

') 'G ,e i i 22 d'b' n) $~ Y 0 Yf$ll I adl/} J Sad / 11 / .l 22 u i i ifhsi)] / 60 to /S d. 4 C 5 t Co.6/ / 4 f. W t 22 l-24 l l 25 k'(l 0 lb $ >> l 8 S S?Y 80 )/O ~GE}3/ 28 fr Obs/in.) GVh 6efD 6 9cp ggro 2, l 2 M Go'its;f) ct, af 9.f2

7. + y 6.17 as so 31 33 3.

35 - =.::

CALCULATION SHEET j u m m ev. 2, CALCULATIONS FO R ) EQUIP. NO. PROJ. CALC. N O. 907738 g/C PAGE Bf/0F i f REF.00CUMENTS: 7 j-.- DATE,,j,7 g PREPARED BY CHECKE0 BY DATE 1 7 ~a f /e B-'f I'domm/ Co ae'Th(&nkmd) 4 5 s 7 $c,, lh /) /0 g s 10 11 12 b 13 14 C 15 I i is g, A. f Jott .?? 43 i > g. o o 2 3.33

p. gf

.y l t 18 f (esi), l 0 19 ) Co li: s 20 I i i & ch/h) ; 3offr l.;syif ri n1 , g ")yj r wr!3 2, 22 t i i l /t t. ) y is >. * : l ,gusf / of f W.?ll !&/"4 e 22 1 24 5 c/4 4)l 4>p& l t t 6f v 5 o t >4 9 tra it gr4 9 2, 26 5 ciss/n.) G yr-o 6 y F-o 4YM i YN g a J-s 2, 2: M Go'th-R,- c c7 M 14 Asf 3 75 2.01 2, on 30 31 33 34 35 l as ,,w e w --r-y w

---

s-

i CALCULATION SHEET o m,,,, CALCULATIONS FOR EQUIP. NO. PROJ. CALC. N O. 907738 N/C PAGE BS/OF 7 7 g, DATE,,jj7 g REF. DOCUMENTS: PREPARED BY CHECKED BY DATE 1 S cdek Effect d grenare k.Ude p oeko b. 3 / /

• l fM8&

Z{ f =c/o x is n /ec/e/, Mc 6 1 uiltbn o, Secon,.s. F=FvF C 4 r. 10 11 4 cro x' + CC9?" + ?9 " 44') ~ C'), r>*+ SA m "li '2 13 i4 -o v/ e+ c4 c_ ) x c, 11 //) = -- X -t-(pg.-x) f f,,. (s) f-X) 18 IS ege,4 4' = 34 2a x, s,, g, 21 22 ii. y x so ' M= L{ p/ i.s in e/n /co' 4 c. H, M = /'. " 7 s ' 2s 26 21 ,,, s }

). l f

/A

o. a /

= 2s ii. if y / M.g

• effe c/

}T sme ll e (". F, ) O: M9) 35 36 .,.3.. ---m.- m

O' O CALCULATION SHEET ...,,y..,, CALCULATIONS FOR ~ PROJ. CALC.N O. 907738_ g/c PAGE JS/0F EQUIP. NO. s PREPA RED BY OATE REF. 00CUMENTS: 7. 7 j, fjy jg CHECKE08Y DATE 1 2 ~ 3

8. /. E hefetifed l

A under of /t'eed (ewfons 4 / 8 $ 4 /e B -20 7 8 9 f, O gf

i. C gp 10

- N* c / n i/ N e'/cf dini/ Nel*'. 12 Aine Hornet H' Me. xy, F/asisst M' N e c c I I pen d g e gtd Ae.9'trid A'erfd fen 'd 13 JGef'cf s / 14 /d-infier. / 4 ~i,h. (. d 's o 7 9 Xto

20. SS~

/3. Jo it.+ f x is ' C%) 16 17 rgj.> s i o ' l3 18 6

6. / S2 /0

/S. ct) s o, t.a. IS 20 2' /.2 4'j7f s to' / 3 o} d

• 5*

13. 9? x i o '

cu ~ 22 23 (J

• '(B) u <7 g

/P

4. 01x < '

7.. o

c. c o iica' -

24 25 26 21 J, pf y po g, n o g no ,,,,,, po' ,> f} f /f ?g d t 2: Terb}es &ffe /9. hblCC Nblt/f E "I" B-6,B-!4 g,ju 8 -'7, 8-'? ;,i,,h.s,, ,2 'f"' 33 unit fie/e/ /'*or tnoormt a menent op sco'/p efwc/ h Me y D ) //o / f fSI 0 /t. 35 c g) (es.peSpo,,gj fa gy = /f. d2., pfgy /Vll, y Ny s7 y,=9 p Ne ' > 3 $, t l 36

,3 CALCULATION SHEET u,,,,a y. CALCULATIONS FOR , ^. EQUIP. NO. PROJ. CALC. N O. 907738. #/c PAGE gS7*F ~~ PREPARED 8Y DATE REF. DOCUMENTS: 7 7 g ,, g7g CHECKE0 BY DATE 1 2 7/> e calca We d e ffecnde needer 01" circo teok/ 4 l)698 f4 0tbf>1C Qnd //Je CJ/// f)decf' f n V41bft of s / />' b iC'll7 G OS5h f & f.Ps)d6">1i trEfed Q Pe Jh se]>p f l').hj.r. . inain tex}. / aos a, As a ;&rtAer consera/1rm, M' car # ;de 'r n / 12 C. b - 5S f/~sv7 Coftd af Y = 22 $in cd In CGe$ c Nc ja sS y* e a y .wcNon /> <a d. Tbc m;oimam h .2 % oat >f -3 % a C1%/ rwm de e of 7% s m 18 CCAff4nl lYot/Idfd, 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

5 d,ay,,,, CALCULATION SHEET CALCULATIONS FOR l-EQUIP' NO' 0J-CALC.NO. 907738 N/c Paas s e, or REF. DOCUMENTS: A 0 BY DATE 7 jp, ,, f g j g CHECKED BY DATE 1 2 8 z, holen$st/ )Trl/ar.. Mode co:)<4 pets 4 /.io-e. o f Edfe'of G m Gv;/3 s 7 c6brm/~d h, i^ejai remenh nete Nc. Ny o te /p' fsferns o G - W-c, Crn siefew$m and o - A 6 - E. (See Rf. B-d. 13 fo fnothe/ fie,/ct /lne h,fre afa ry e - a - e -M - z. a rs-e ;te ra pdpcn o - n 4 - 1 ore c h e fe-e s ss W e m.- 19 sy of pse.se ou;// m/ de c/1Rea /. ( % G y. B.t ) a g ,v,, n; ~ a;,s.- ,y ~ <-s e $ $)( &f &Ak A 0* SAl 6/e c/>ec/ced.. [4-ey, ore A/, = 0, N'-2o (f

• i s) >

p,y,, e

== x, m, n: a es. a c 33 ky ** 3 l, Ne = 0 (Alc ~ & 4eg g*,p pg p) 36

CALCULATION SHEET o m i a v. CALCULATIONS FOR EQUIP. NO. ,y/C PAGE St/ OF PREPARED BY 7 7 he DATE,f/fy/g REF. DOCUMENTS: CHECKED BY DATE 1 Bofm feloer Ar Ac6m N W (gef y) 2 3 n; AM W. A 933-er 6 A g g -t,.1, ~~, f = fcb W V' ( o. 7 9) = sg.s.3 4 1 ,<.4 )-/ s o, si, />. i s, s 4 = }s in '. 9 10 5* S l.* 0 ll ' f, A Y) ). ers o '3 48N-4, 69 14 15 40 N -> / .? -2 16 " g g, L 4 17 / / - // /l>-/o.)9)= /s-/.6/ ' n '" 18 18 i / '- a

• a&

20 21 2 </ 22 /> d 23 o g 24 25 r17.*d 7;fa / /n r,af,'c / gfir, n ". = i 26 g>s. at2 o 4 ~ s.xf io /,,,er 2, ) 7;.j t'f 29 30 31 '. '; 32 35 36 ,w,e.,-- + - -, ,.---w-. ,,-,--,---------,n---,w--,---m

1 CALCULATION SHEET o,,, g,y..,, CALCULATIONS FOR EQUIP. NO. PR OJ. CALC. N O. 907738 N/c PAGE gt: CF PREPARED BY DATE REF. DOCUMENTS: 7 7 ,,ffy g CHECKE0 BY DATE 1 Top deben 0, Bo 7/am //M 2 N0-? o En/ Bara { f%fs. '&, s io) a /;/, *ii 4 / I /A A /d 2 (f.TC) x $O.5 / f ' 5"U C.'.e 4 $5

• is cp/cn )

(24uA'-) o 7 sf 'ro ' x w dr' i .2 s i. s y v c- = = 9 hc' 10 ayJ, e a ;n - ,7 = ro ' , eo.: co s 11 <<p e) = i 99..e s ;/ fo A /~ rsor, n / o< inch -> 13 14 15 16 A.c4,'a/ Jsr. Geof.s, f an.c 9) 8 h/. ~ '/s 18 (AN) d > 2.> r = a s >].i' > c-s l *= /C 2 7 u a a-c. n, s. ce. 20 ' ' 'E 2' an d -?, 7s, ?: es-g a >. rr e.1 >j r, eo s it'= 22 23 por/- 7. fa, n. ne t > z.>r - ~.s >; c' x a. s >1**> i+ 9 24 yg g ii, yg, > >. n p ,,.,c,. c., s 27 e, a e p, ,.g..s,* 2s l 26 21 .;(gy _ s y, ,7s9, jf. if a. sg y,.f x a,o g vf * / g:n g f*= 3j3j 28 1s pisa-'t.<te. 4 ne. is, >. x x u> s.>-r

• x ~ : 'r'=

30. >.5 30 31 gj]pf a /, 2 fj). w, p }},

> 2..>g > ge s >.f *.,e e.a.y >[ % gff 32 l s' 33 gg p g, ygg, ,.4,,4 g, ,e p zg, g,o g p g *,,, p *, >, gg 34 i 44 0 r$ ~l J. JJ A. S V. W/'1 f6x a :of x eds s J.L* > eoJ >J *ir% r ie s. 1 tai f /,'. / tve. = 39(.23 ~ '~'

_ s ~' CALCULATION SHEET o,...., CALCULATIONS FOR EQUIP. NO. PROJ. CALC.NO. 907738 N/c PAGEg/3 0F DATE REF. DO CUMENTS: PREPARED 8Y 77 g ,,/ff ffg CHECKED 8Y DATE 1 2 % 4/ in rael'</ &. = dj >$ + 3 f c, > s gg A,, 5 o rec 44

0. $4 ] ,

in. r = s Jr./tt 8 9 Locafrn of prlatt 11 (ktfs, $ Orsd* //) 13 14 15 .i3

• 7" 5

pfubd, 18 C.] of q-U[

20 resw en adreJur) bo@m Ned ,w 21 n D 24 C.f,- of s wn-nun 26 27 28 29 30 31 J' y 34 35 36 . ~

} 1 CALCULATION SHEET ~' .4 = m.v. CALCULATIONS FOR EQUIP. N O. PROJ. CALC. N O. 907738 N/c PAGE 8//0F DATE REF. DOCUMENTS: PREPARED BY 7 7 g, ,,/jgg CHECKED BY DATE 2 l2aia/ j?re.1/>ess daa A Caudras' /ena' sos 3 4 ff*f9fr/ b kW /O, erseab/)/ m/ of.24 pnecen s. n. see 8 or ri,< e./ co r-n;9, p t e 10 r> p re in c/:nd a se+ t k' m.r.s. roe n 12 rob / Mirec/in. t/srEu//y. ae byest i.,chnch, '3 fuer/ recs //ce is (3 '. Neoc< the

=

N'(i+ cos. y ) cos f5- / 3.C x / x 2 18 Q X Csfresc.W-b~,s/ ss te,,da,:) o 'l? fx M2 ry; i,, xsi) = 2x C: 4 s 22 ar ,zx s s f / f ^4

s. yc fx 4 is/to.

12 = 24 .% 7 /ft (7{in psi.) 2' 2s fyo'n bf.//> '/de lo caA!" o f 'f'Hb'* ' 28 of O fC C0 0* Is a fpsj&st,$ gf fje 'C so dbo+f f (f. 7f o,r> the h of d*& h*/ ij ) 32 33 34 35

CALCULATION SHEET l CALCULATIONS FOR Oi E0uir.nc. rRoa. calc.NO. 907738 / /C PAGE 84fCF / 7 OATE,,j jy f g REF. DO CUMENTS: PREPARED BY CHECKED BY OATE 1 2 3 Momed Capac.6 ' 4/cm adad.> / )?efs L4" 4 / / 5 @cm. ss ledre (% 2 8. t. 7 ) excef Q = rP. 9 (ta-o. F.) 4 = .2.ey Ne. cae 7e +7f f;

• 5

= n 12 vis-o x' u,,., e).,, ye g g to

1. 2 I -

14 qgro y, g,,x (mg,c). (,,, ye+cgr.)(nc-x) 's 16 cs go x' -r- (ao syt +.ze)> R + cf?)% 18 ~ / *)$ (>d} >Ale. + d VD) = 0 20 $0$0 %d + (/ / 4,2 0 - -e.,5.d.].2. HeJC- (/ / *}, ["

• f5 0.'Y' 22 A

g 23 c -[-(d+)b'+qac.) X s-25 26 M= Xfc 4~ Se[Y

• fg,&b & Y 5 DW k gy 2:

29 5 /bf //?C&Jc= }'),PMSNCS de b lYW 31 t ) .b)(f4/2'/dn of ff0b$

s "OfW 34 35 36

. TT.L~~:: ~~l~' -~ ~ ~. :, ~ ~ - -

CALCULATION SHEET = = = v.. n CALCULATIONS FOR EQUIP. NO. PROJ. CALC. N O. 907788 d/C PAGE Btt OF 7 7g f,pg REF. DOCUMENTS: DATE PREPARE 0 BY CHECKED BY DATE 1 A-d/ / 0cmmf Co ac;f &ffe L A /D J 0. U l f e fd boe s 7 Nb 20 3.3 3-0 9 to Q. do40 do go <c o 9a fo fa 12 b /d7o66 / >'?/ ! V / l U/14 /h,?f* ,2 14 5l*0 # !C 3 *I' 7W 'V.*3l*3 0 V' 1s 18 p), A. l 4L*7 G o '? 2 cio.y .3X f5

• /E. $O 18 f

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• 20 l

5 C/bsfh) l V$~f/} f0l'/ (>5PG ct/>f 1, 'I 22 11 g 1) 'k E sY T l /M. 7 /30. / f U: 24 /5('@)l

1. N ##

< v f>" i

1. '374 74/4#

I 2s 1 26 ft= (lhfi4) $ YO S$U GVP gy 28 l'l(/0 l

• g th

3. ] l f Of 5 $3 gg 30 32 33 34 35 36

( .__n____,_,_,,,,.,,_,.;,,,,___

t .~ a I CALCULATION SHEET

c. = u v..,

CALCULATIONS FOR .~. 1 EQUIP. NO. PROJ. CALC. NO. gO773g g/C PAGE d// OF 7 7 OATE,,fjffg REF. DOCUMENTS: PREPARED BY CHECKED SY DATE l 1 2 Mome,,f Capa c:/3 A/euf a do *f )?e fo' A'<- 3 4 / 5 .t s *

• )
• n a A o, o,,pg g

'.f,. ~~ a IIY 94* 10 11 N

• [Z l

._A 46, (Fe o 12 \\/~f' 05'l' Y"' 13 A8'" V1 .x 14 HW & Fs ccan { W f,g is ' i~ 16 e" (Co j.rek jfnrio 18 due to moine,,t g, g _,o (e. Strain st lims t ) 21 22 Mo x, retae.sfrein M

s... iri 24

.2. doo /)se. resar drain.. . o. o. /x - o - /r 2e irg-y -x '7f x Tofn/ /What free C7'en.rije) : n 'fr=a99 x /4 3 .X oein)Pfoo.co.) (o a g _, chA.] 31 .2$/loy /fg 32 n w 17f-x 34 35 38 +--+--or-=-rre--- -g-e+e

---

^9T~

d-

• • • "P w-y wc WN-

-4W ""1e-'"*wv4.-- "r98u-wm wN N we-'-

( ) CALCULATION SHEET ~ CALCULATIONS FOR 'm EQUIP. NO. PROJ. CALC.NO. 907738 W/c PAGE B//L: j PREPARED BY DATE r REF. DOCUMENTS: .y 7 g, ,,/f f j pj CHECKED BY DATE ,1 2 ?Off/ MW hot (C~eml/~osiM): x-< anin:

0...,n s

/?f-r T C X-9 x

o. >C V

0. c e /f 4

. 2fo c o, 0 0 0 fee = l-r (y,,,i,,, y isyao ib /,'n. = < 27 -x. ii Cy-0 $$b.ectc{ feno(cn s. 'I 13 s J/- fd ~ % Oo 4 14 g= . o. s o /N a

o. oo 7pg i,

27 -x y-x x s/ress at ea of AA.- 17 O-} ( / ~ 0. f t)(e. f) = d.[4~t/ m/33 Nt l. /*si /Ar'c/to, 'l f, = J/ress l,, -be d fen *"' /0 3

• t".A d* * >}, * * * * / 3.5 + r.-x'7f <

$0. >h n fk TI) u 25 5

• 9 7 7 f. 4, (th /.. )

n

c. u,,.)

28 0 nefeft = X N#J fh2to'n ' S = 0' ** Y I c ,y y._g, /- 1 22 t 93ooz J fgq 'I .. Ecf. ~ T' " **/P' ig g ' /?f x. c ,c. n o.. a,. e 2 fe ,77 x ss

~ CALCULATION SHEET ,_,y,,, CALCULATIONS FOR EQUIP. NO. PROJ. CALC. N O. 907788. #/c PAagat7 CF e REF. 00CUMENTS: PREPARED BY DATE ,,jijf jg CHECKED BY DATE 1 ced) 1*'1$^'!U"' _ f ' ; H,' g,3s-) f la2. /7 e is t 19n, /oda'as >* cir. fedns 4 ,$.= ta o.1 A si. CZnc. in f; da* b. A 4 y*k*G tts e l ~ f = 30-f x is..? He f f >7 M A e. Cp;/is<:an: fr+ fx t f; = fc Ec 'o ii i u-x 90 t > si7 o + 9 ) c (/3J r sa,>r)M x '??-x ipf-x ,a >)$9 iv =. Gir*X*

• -i

+ i 27 -z ? 7 -x e 16 >cif. cig3-x) + 7 7 rca3 W'?7-x)Nx + 9 7r(90 **)WPt '1 18 + > 7y si, c ny-x) - eiro x ' + is).. cx - c) 2o 21 $$SO Y.t. v (/i}O O t M7l0 +f,7(x/33 Ny_ +f,)f a $"A>P g, t 3.)!$N)2 ~ ~ (/3700 xd' + >'s~/for/43 tf 1S >/33 >/79 W -* 7. )fs fe r S'0'I'$' g ~ >gs+ s,21s4.) o 1' 2s ggg, ya, [3fgo, s')/ 7 Al + >].34. Af ) x 21 y e a g g - ( <, 'So, 27o + >) 4, >6 f N.t ' <!/ J!O) '* C 31 .,.',. C-A + J 1,% 4 a e ) -n 1- ,J, 3 M = f (f$1~X) f f,g ( f e - X ) f k ( W - X )

• fc N
• l

=

(1-CALCULATION SHEET ~(- ~ .4 = aav. u - CALCULATIONS FOR if-) EQUIP. NO. PROJ. CALC. N O. 907738 N/C PAGE 8/o CF PREPARED BY DATE REF. DOCUMENTS: 77, ,,jjfjjg CHECKED BY DATE t 2 ik6/e B.n h9sment C+jae.'h A/,y a //coj ]le/d N ' Of R = /rg ja) s 8 7 0 24 4 N, s 10 qc' ao g 33 2o n 12 13 % (/nd (f. 4 2 4477 s-7. e S ct. v 7 34 ('31s F,.cils/in) > >l cf nIQ i17l > / Pd 4 2 ,e 17 fy (([Ib ff f ?Y /Nl'f5 ' Y $' ' C ~ 18 1s o 3s FC 2 fTE3 -] 4 wo o f,~ CIkj%) 2a 21 fj (ksi) /3o. 2 i+o.1 i so.2 iu. ? 22 23 Os e) $$ SS o / $Vo V fo kw [' y.> D b 24 g 25 [f 3I) } lS f 5 '# Y YY WW 26 C 27

b. fib 1ln)

QVfD 6 lP l / b[bbl ' S Yfd gg 2s k rijspy 07C cicq s2,c/ gie/ 3a (f.:. N M011-/

g. x i

g. t 3 7.cj 9, c z 33 34

. ' 35 ]

• 36

=- - : = - = :.

.s CALCULATION SHEET ,,,,,,,y,,,, CALCULATIONS FOR EQUIP. N O. PROJ. CALC. N O. 907738 a/c PAGE S 7/ CF PREPARE 0 8Y OATE,, /fy/g R E F. 00 CU.'.iENTS: 7 7 CHECKED 8Y DATE 1 '2 y e. fd L.i n e forferi, oa36I 3 4 5 6 CW/ .8~G, yde frces Sc/$ on n e s ts J cec /un Asso&x 6 o s a c, z c

• z 's r

S Cah5I3/ Of fdt effro$dC /PGft//C en s%C $ a tb Cf. verirest Sece cp;. a s to.<j q=c'. .rd w r~j f a ~ r en / o a '.p ' ei ', aoa eni a/og rxe o /> y o 6 y g-phro tvc4> / ;; N fines (c.+> c, snd a s 'p ' c '), on d inomen/ o/sy Me Assp yie4 //n e G;&' n are H< :len a/oy ca.0 9, v-5< w,6);c.f 0 6 ' D ' f) '. 23 effechaepiess are soa f., o&nt s~; 6se;;~n 6.yi:, ma.rf h As/mes sJ y/x somron 2s a/} c// yie/s poes. Gr co s a n.'en e e. / Ac ase E -E ' as Me h is b wj ~f< oal S-.+. m o m enf-s&<.e to fressere 38

r3 CALCULATION SHEET ,,,,,,,y..,, CALCULATIONS FOR C't EQUIP. N O. PROJ. CALC.NO. 901738 N/c PAGE B72 C PREPARED BY DATE R EF. DO CUM ENTS: 7 7 ff j/j77g CHECKED BY DATE 1 2 3 C 4 +< /c f Rf4 N x -o. ,% ' =.2o C;e 4 fr.o m 7o'4l-e p -it, 6 U) dae fa rr$$dit = j.ft2 x /* ? /4-in. o _g f.z = -o ?f( ' ' * 'l ~i" c.s> 'a x 10 o Sum 09/4 d # 12 d /4-In 13 Ol D = f fg p to 14 ) 0s;sAY J-),o, po.t n b 's (. m h 8-2 0 i ,/k'.,, W)/y on D 6 y 0 o '.p '9 ' = A

• hfg to % (9+ /+ f) q.

W cJeeFf.E-7) [} ' 2 5 7 / to ' (7a" 4/e d !O 2 x 6. > / > io 'si?& ' s.a s Cs) G /s>ty 4rQ' = 22 J csd4. s-2, 2 9/g x to' = 24 25 ~# 26 > V/ $ X to ' /f - in, 28 ~ f #$ /$ # WlC g ff nO DF O 31 ' ', 22 33 34 35 36

CALCULATION SHEET ,,,,,,,,y, CALCULATIONS FOR EQUIP. NO. PROJ. CALC. N O. 907'T38 N/c PAGEB73 U PREPARED BY DATE REF. DO CUMENTS: 7 7 4 ,,ffgg CHECKE0 BY DATE 1 2 A, m.2 4, He ' = { Q$e Cbfc k / st f, l 4 5 pys he /a NS$ etk = /.>r $ x to F,., -s. uy / /*' = + 10 0. C f ') JC /* ? 3///>> = 11 Sf y )c to ' lb ~in. 12 = I f t/ J b Mo m t#1 f. A/o e A u g i o A 'p 'e)' =- g,, 2.js s io ' x if a. t po 5, so 4 p p a is % / N / s, > a ' A/. dzcf 2e yrs x so' = 20 21 $N > /0 ' /b -in. $esin y 23 S /b s'r> x so 25 oA 26 27 28 29 30 31 33 34 35 36

CALCULATION SHEET CA MS CW..u CALCULATIONS FOR

• G

}' EQUIP. N O. PROJ. CA LC. N O. gn773 g/G PAGEB7gCF ~ 7 p DATE,f ff7 / g REF. DOCUM ENTS: PREPARED BY CHECKED BY DATE 1 1 2 Che ck i, 5,g. p, My => /. f'= 35 Gse r 4 Sv o, 5 h/e B -!/, s f/'tTS!C 2, 224 x / o ? (l) / N

• l'b".

N c' dxe h

• f g

i. i a,, i A c '7 ;-t 'j> 44 e

i5_. 10

1. } in

/. of Q p po l = 7of a / /* ]g,, / = geris A9 mown? ,9/cy 04 D Q, CA 'D 'ej =

2. > f. 3 4 x t o '< if =

3 vs x /. ' ( Al $%h' '2 " f. 4 ? ? / 0 >187.nSiejr' n ///ikcso$ 'I 16 U .,$y,ry = /yf y /0 > fof tt. g to ' /$=***, f i. 18 o k, 19 C11

• e K

' r R P, N ~ ' 4. '/. ' ~ S-= G.re 21 N _y, he sto frenstfC 2./92 x /o? I 4 = g -/.o?? xiol Q 24 o, e- = 25 26 3 ,_, p g x,a f,,,, g 4,,,f gf ; gr1:2$ inon>*n / Of* d'9b t, C A 'D'f ' *.2 g f. 4 x 10 # x // = 3.>f x /* ' C.7 6 ' A f C.3. >' to # > /ft ^ Si* /!

• gfg 7

7 // a / / /O ' M 34 4 &,,,m f $ 5 4 k so > toSd s to ' // -o 35 36 0, h ,.-.,,,.___~_g r- ,r,

i s -g 1 CALCULATION SHEET CALCULAT10NS FO R E QUIP. N O. PROJ. CALC.NO. 907738 N/c PAGE 87r*.e j 7 p DATE,, fj g g REF. DOCUMENTS PREPARED BY CHECKED BY DATE 1 2 fje{g hnt h htn o4BHr 3 4 fefgst. Yb $. g-d. 6 I C/7ec{<. t.o A S _ Wu = -o. Ne ' *.L o COS*' 8 A 5m To b lC /3 - /,$~ 10 ki

1. "' */"""N*W*'

c-c' -/. 6 4 7.* so' '3 f_ ~ = 14 0 9 s- / x 10 $ 15 Gm = 16 11 f C/ y to # tl-oh /4sishy momfnf Q G{o 6&AH, o sf 'B 'H ' =.2. x 4. z d s to 's ( 9t/ 3 r f) = 3dj ><* 21 cfa HZ H ' =.2 > 4.1/ s to x lN 7 Sin 4 /..f *= "*/ > ' * ' 23 24 17/ ? x to ' d-> s > j?r/ r '* ' eTu m = 26 4 g, 21 28 29 30 31 32 33 34 35 36

CALCULATION SHEET o,,,,, y.., CALCULATIONS FOR EQUIP. NO. PROJ. CALC.NO. 907738 ///c PAGE 8740 PREPARED BY 7 7 g DATE,, gy REF. 00CUMENTS: CHECKED BY DATE / 1 Dee k

f. o l- /),

Ny * > 4 Ne C Ce n 3 $fc-c' Y"' b M&lC- = 3- " X /* 9 6

,, g,g,,c 7

/o ' ll In

0. [1!; y toi:- dh

%m A = 4 TI Sb /7)osnPnf 11 Afd 00 0 As OA '8'!l

• A x > 9/ A /D X (4')= /C f*'

O fe /~/ W ' * >-> d. C3-J /0$y / [G F $in 4 l.5 "* / ( f / j re t 16 // S~> > to # > d%f y so' I L * '" &m =

1. 9 18 b e f T Csc l

C h !c/c

t. s~

R. ?. N,

• A /,

20 3, lo ( X t $ N4 h WMt = M ( _,, -f f g ( x tol 23 .t ~ f,_, z w 24 L

7. t 3 C y 10 ? =- // $ f se./e ' /A -*

26 Racisim7 som w - 28 'b. S / 0f O/)fff, WB'd ' =-J. > f %X C7f x sa ' /d-x ar c /O ais3 ew = >- - 1. sr ><.',,n - e, p.e-nn ~ < s . p,,. , /, ~,. + ~ .34 35 4A 36

i ) CALCULATION SHEET ..,,,,y.,, CALCULATIONS FOR EQUIP. N O. PROJ. CALC. N O. 907738 '//C PAGE E77 U PREPARED BY 7 gg DATE REF. DOCUMENTS: ,,fj7/g CHECKED BY DATE 1 2 c4 e c/c i.c g p. - g - 24 Mc'- u Gre 3 M. c, se A f ress.,re - . rf a x o1 c y > sol 6 7 S.<m = i. ojs > ial =- iof rno ' a -i.: fesis/&f snomof: s/of o/1/3/t, oe'a'e ' = >-rse,n '2 o'n/- cy c,, o c o/cy n r H ' = > >j i > xio 'r /JV-s;- 91r* a y,,,e< >jckto' > iajr s i d d,*,. sun -

1. b 18 19 G nc/ussc>, (FB. i. 9) 21

'JJ'efs fin < h/are a lo e f o + Brf 7-

• r o/> 34I l

co;// not duelop, s'/ %, Me cdsoan 7#s/e 2* ',n l 25 f E or l 3 / ad 2 ) are a.:ed. /y'en ce folle E -D. w ~ r e ~. - as m)s, 2s ? 30 31 32 33 34 35 f 36

CALCULATION SHEET CALCULATIONS FOR EQUIP. NO. PROJ. CALC.NO. 907768 N/C PAGE 67f 0F 7 7 g DATE,,/ g g g REF. DOCUMENTS: PREPARED BY CHECKED BY DATE / 1 2 A. O fanCbs'M hkE'dr Node o f h e fs! M 4 / hYlD'/n $<a d ) 6 7 /N '/ c s 8 (p 10 1 l Ihi_f _ { > s 12 Il4 jg i l I l is [ llI l g I1 - rnscu lll 15 is I i j E. B - t! 11 7 l la l 19 /dd' % $ferm en/pe 20 (3 pm bus. 22 $>'O.D. 590 hon 5<* $ c4 ) b /t '/b on cb. fkt'er fhit

s. 4. pen efrehn s, Ir tac sse c.o nn eeAu

,-ne / 26 Ry B-i', D -e. See 2f B-3 oks 1 l 30 31 32 13 l 35 36

~ ) CALCULATION SHEET OA l'GS (h4V.442) CALCULATIONS FOR EQUlP. NO. PROJ. CALC.NO. 907738 N/C PAGE #77CF REF. DOCUMENTS: PREPARED BY DATE 7 7 g, ,, fj7 g CHECKEDBY DATE 1 2 Yf fC<nC/> I Jkc'efi} SNC4S 3 i 5 '7 [217 (,44) -n (p)]. irg = o. r? 4 j - fr E = 3 10 ke V l&S-7. g cau f ~o<,o 15

s..

d =- Sfel fhichtSS u/N in. 19 h= fCCWf*c/ dietonPOr i4 o'e C k/S *- > M *4 l p .#,y u - o., 7, 22 f, = fres/ter> (j'su l 26 pro,, y4 ;,. Me .sbes, atwd4 2, 28 f$ = s 7,

== 31 f 0ll*MblC j .g' Q t 33 35 36 t...___.

CALCULATION SHEET c m, m,,,, CALCULATIONS FoR ^' EauiP. no. PROJ. cAtc.no. 907738 W/c PAGEBfpIF PREPARED BY OATE ffffy jg REF. DOCUMENTS: 7 7 p CHECKED BY DATE 1 2 ^ h (aN>f 'v o. rm $) {, ay,,y, = 5 s.;.1ef'+00Giffg e =. 7

o. s cif f

= />co + 10 11 Se f = yv c-sf . h 93? ysi ci.. RP) 14 'I ' l# 3 '), fy ~- /f 0 $ Si O rKlo 17 /3ct4 are sind/w 7%<n nd= [Si Mc i

s. a.,,g.,;,;

,y,s a//o a 6/e iji, a p 'f Ibe reda/ prntress. 24 25 i Chok 3def> a, @ -D C} B- ") : c' f = > >'/?6co.rpf ' -r- 0 ts?cjf) O//oodh 29 30 31 $ C * $d l ^$ '* /)che/ f = ?cs-en ct isc? 7 f. U 34 ///1CblA,0 $ktdr N F26 l et f/Dbl@ EnM. - - - - - ~ ~. _ _ - -, _ _, _ _

l l DD 907738/N/C l APPENDIX C CALCULATION REVIEW REPORT Page C1 ~ ~ ~ - ~~ ~~~ ' ~ ~ - ~ ~ ~ ~ ~ ' ~ ~ ~ _T_'_____________

sasso mav.ismoi 9#2Md C 7G i CALC'ULATION REVIEW REPORT. TITLE: APPROVAL LEVEL f$V "/4srs6n a*Ws'&'b $dStd fH Yh b"'Ib ^ GAL LEVEL l OtSCIPLINE SYSTEM 00 C. TYPE PROJECT DOCUMENT NO. ISSUE NOJLTR. .n cFL 1900 fo7?dE "/c INDEPENDENT REVIEWER: bf"

• N b I' W h NAME DRGANIZATION Nachal Ws*% Cng heksic.

REVIEWER SELECTION APPROVAL: BR MGR O'I d5' OATE MM< I 1 t REVIEWMETHOD: YES NO ERROR DETECTED ARITHMETIC CHECK LOGIC CHECK ALTERNATE METHOD USED SPOT CHECK PERFORMED N8 COMPUTER PROGRAM USED' ~ ll l s REMARKS: (ATTACH LIST OF CCCUMENTS USED IN REVIEW) Gfcvl4 frM 90 ? 73 f f"SV .Wrvef4 7)Loys $r A:W i. L E I CALCULATIONS FOUNO TO BE VA 0 AND C0'NC SiONS E CORRECT: INDEPENDENT R EVIEWER ' SICNATURE / TE L -}}