I910-ILFI-AD-0011

B E R A T E N D EI N G E N IE U RE

CONS ULT INGE N G I N E E R S

I N G E N IE U R SC O N S E I L S

ILF CONSULTING ENGINEERS

Feldkreuzstrae 3, AUSTRIA-6063 Innsbruck Tel: 0512-2412-0 / Fax: 0512-2412-5900 E-Mail: [email protected]

I910-ILFI-AD-0011.doc

Development of King Abdul-Aziz Endowment Project - Makkah

RISER TO DOKAAE

FLEXIBILITY ANALYSIS AND SUPPORT REACTION CALCULATION

02.05.2006

D e v e l o p m e n t o f K i n g A b d u l - A z i z E n d o w m e n t P r o j e c t - M a k k a h I 9 1 0 - I L F I - A D - 0 0 1 1 . d o c R I S E R T O C H I L L E R P L A N T 0 2 . 0 5 . 2 0 0 6

ILF Consulting Engineers Page 2 ILF/M \\Ilf121\pipeline\prI9\I910\SV\ILFI_AD\I910-ILFI-AD-0011.doc

REVISION CHANGE HISTORY

A 02.05.2006 Issue for Approval F. Grimm K. Schmid

Rev. Issue Date Purpose/Description of Revision Prepared Checked Approved



TABLE OF CONTENT

1 GENERAL 4

2 STATIC SYSTEM 4

3 LOADS 5

3.1 Dead Load (Permanent Load) 5

3.2 Temperature Change 5

3.3 Weight of Medium (Live Load) 5

3.4 Internal Pressure 6

4 LOAD CASES 7

5 SAFETY FACTORS 7

5.1 Hoop Stress (Ring Tensile Stress) S (R) 7

5.2 Longitudinal Stresses S (L) 7

5.3 Equivalent Stress S(E) 8

6 RESULTS 8

6.1 Deformations 8

6.2 Support Reactions 8

6.3 Stresses 9

6.4 Victaulic Couplings in Riser: 10

ATTACHMENTS:

Calculation: Printout and Plots



1 GENERAL

This calculation comprises the riser to DOKAAE (Tower C). The dimensions has been taken from both lines in drwg. M-PTC-RD-CHW-41950, Rev.2. In each case the longer part has been taken into account. This is at the bottom of the riser the CWS line and on top the CWR line. Following this assumption it is guaranteed that the worst condition is considered in any case.

These computations aim at determining both the stresses and deformations occurring in the pipeline as well as the support reactions at operating condition.

It is a precondition that all supports from sliding type are equipped with teflon layers. To avoid forces in the piping and in the support structures they have to allow a certain movement of the pipe.

The static system and the computation is based on the following documents and drawing:

Drwg. : PODIUM LEVEL (TOWER C)

CHILLED WATER PIPING RISER

FROM 2nd BASEMENT TO LEVEL-12

(MAIN RISER)

M-PTC-RD-CHW-415950, Rev. 2 The pipeline sections which have been investigated have been depicted in the plots attached.

2 STATIC SYSTEM

The static system is an elastically embedded three-dimensional series of finite elements. It consists of straight and bent elements, connected by nodes. The reduced stiffness in the bends (flexibility factor according to ANSI Code) has been taken into account. The support conditions are simulated by elastic spring elements which are acting in nodes. The elastic or plastic (non-linear) behaviour of the support is defined by three constants of displacement and three constants of distortion.

In the buried sections the bedding conditions are modelled by non-linear (plastic) springs acting in the nodes. In the model, the elastic range of the spring is increased up to limit values which horizontally represent soil failure conditions, which vertically represent uplift conditions limited by the weight of the earth body, and which longitudinally represent the frictions between the pipe and the soil. For deformations which exceed these limits constant spring forces are assumed. In the present case no buried sections occur.

The structural analysis, on the one hand, is performed using the cross sections of the pipe (i.e. the initially ordered pipe wall thickness not including any allowances or tolerances). Any wall thickness reduction is not taken into account. By adopting this approach the highest



stiffnesses acting on the static system analyzed, and consequently the greatest cross-sectional forces are obtained, which constitute the upper limit values covering the worst case condition.

The computation of stresses, on the other hand, is performed taking the relevant wall thickness reduction (e.g. allowances and tolerances) into account.

The static system has been depicted in the plots attached.

3 LOADS

3.1 Dead Load (Permanent Load)

The pipe weight is automatically computed bases upon the cross-sectional areas using a specific gravity of 78.5 kN/m. The relevant weights induced by valves and other components are taken into account as single loads. The weight of the insulation is considered with 0.300 kN/m.

3.2 Temperature Change

The maximum temperature at pipe installation is +45C

The operation temperature is in: Chilled Water Supply Line (to DOKAAE): +5C Chilled Water Return Line (from DOKAAE): +14C

The biggest effective change in temperature occurs in CHWS-line and is -40C

As a worst case scenario the same temperature change of -40C is assumed to occur in CHWR-Riser to DOKAAE.

3.3 Weight of Medium (Live Load)

The medium to be transported is water. The weight is calculated automatically from the pipe cross sectional data. The specific gravity is 10 kN/m.

This is valid for el. 1-5, 44-46 and 71-75.

For el. 6 45 this is the vertical riser the weight of the water column is acting in node 6 as a vertical force:



The weight is: Upper section (DN 900):

W = 0.89542 x 4

x (46.4-1.50) x 10.0 =291.5 kN

Lower section (DN 1300):

W = 1.29542 x 4

x (42,3+1.50) x 10.0 =577.3 kN

W =868.8 kN 900 kN

3.4 Internal Pressure

The effective internal pressure in the piping is the max. operating pressure. This pressure is for:

Chilled Water Supply Line (to DOKAAE): 16 bar = 1600 kN/m Chilled Water Return Line (from DOKAAE): 12 bar = 1200 kN/m

As a worst case scenario: The higher pressure of 16 bar is assumed to occur also in CHWR-line at the level of the piping in the tunnel. (At lower end of riser). At the upper end of the riser (at level distribution floor) this pressure is reduced by the effect of difference-in-height. This difference is approx. 80 m and this results in a pressure of 16 bar 8 bar = 8 bar

The pressure forces are:

in node 6: 1.29542 x 4II

x 800 =1055 kN

in node 44: 0.89542 x 4II

x 800 = 504 kN

in node 25 551 kN (at reducer) The influence of the Poisson effect has with a Poissons ratio of 0.30 been included in the computation in el. 1-5, 71-75 and 45-46.

In the vertical riser the poisson-effect is taken into account as a change-in temperature which creates the same contraction as poisson-effect. This change-in-temperature is:

Upper section (DN 900):

SH = 5.922.14.914

xx

= 58 N/mm T = 20600010.12583.0

6 xx

= -7,0 C



Lower section (DN 1300):

SH = 7.1226.11321

xx

= 83.2 N/mm T = 20600010.12

2.833.06 xx

= -10,1 C

4 LOAD CASES

The following load cases are investigated in the present calculation:

LC1: Operation: Dead Load + Weight of Water + Temperature + Pressure LC 2: Dead Load + Weight of Water This LC is only calculated to determine the biggest load acting downward in the upper support in the shaft. (El. 402 at level approx. + 314.3)

5 SAFETY FACTORS

5.1 Hoop Stress (Ring Tensile Stress) S (R)

The internal pressure design of the entire piping system is performed using a safety factor of 1.39 (Design factor = 0.72 acc. to ANSI B31.4). The same is applicable to bends, branches, and other fittings.

The safety against reaching the steels minimum yield strength for the hoop stress is: S(R): S = 1.39.

5.2 Longitudinal Stresses S (L)

The longitudinal stresses in the systems are predominantly induced by hindered thermal expansion or contraction.

Acc. to ANSI B31.4, 402.3.2 (d) the sum of the longitudinal stress due to pressure, weight and other sustained external loadings shall not exceed 75 % of the allow. stresses value SA which is 72 % of the spec. yield strength of the pipe. In the present case also the influence of change-in-temperature is included. This assumption represents the worst case and includes additional safety.

The safety against reaching the steels minimum yield strength for the longitudinal stress therefore is:

S(L):S = 1.85. The design factor is 0.72 x 0.75 = 0.54.



5.3 Equivalent Stress S(E)

The equivalent stress (equivalent intensity of combined stresses) is calculated according to the distortion energy theory. The admissible value is assumed to be 90 % of the steels yield strength.

The safety against reaching the steels minimum yield strength for the equivalent stress is :

S(E):S = 1.11. The degree of utilization is 0.90.

6 RESULTS

The computation results have been listed in the printouts attached. The respective dimensions used are [kN] and [m]. In the printouts, the deformations and stresses have been multiplied by 1000. The respective dimensions used are [mm] and N[N/mm].

6.1 Deformations

The node deformations have been listed in the printouts attached. For LC1 the deformation has furthermore been depicted in plots.

6.2 Support Reactions

The supports in the horizontal part of the piping have been simulated by vertical spring elements. The local co-ordinate system has been arranged in such a way that the element axis is identical with the local x-axis, which results in:

x-direction: vertical y-direction: in direction of pipe axis z-direction: transverse to pipe axis



Support Reaction Forces and Movements:

Supports in vertical shaft: see plot attached!

Support at lower riser end: (el 902)

vertical force F = 2000 kN horizontal forces in all directions F = 9 kN

Support in the lower tunnel (el. 607):

Support 607: Fv = 240 kN

Fv = vertical Force

The extreme movements the supports have to allow for are:

movement in direction of pipe axis: v = 2 mm movement transverse to pipe axis: v = 3 mm

The effect of friction horizontal forces has to be considered using a friction factor of 0.10 (teflon layer) in the design of the supports.

All support forces are for one pipe and without dead weight of the supporting structure.

6.3 Stresses

The computation of stresses is performed taking the relevant wall thickness reductions (e.g. allowances and tolerances) into account.

The stresses derived by computation have been listed in printouts and compared with the admissible values. The stresses obtained by computation have in the bends already been multiplied by the stress intensification factor according to ANSI. Stresses exceeding the admissible values have been marked.

At the end of each stress table the maximum values of each type of stress encountered have been compiled and the number of exceeded admissible values has been indicated.

The result revealed that the admissible stresses are not exceeded. The system thus is sufficiently flexible and safe.



6.4 Victaulic Couplings in Riser:

In vertical riser seven flexible couplings are foreseen to allow for contraction of the piping. In operation condition the max. gap movement is:

at the top V.C. (el 507)

This is the biggest ocurring gap movement.

V = 8.35+1.66 = 10.01 mm

The other gap movements are:

el 501: 4.90+2.21 = 7.11 mm el 502: 4.88+2.34 = 7.22 mm el 503: 4.85+2.35 = 7.20 mm el 504: 4.42+2.30 = 6.81 mm el 505: 4.80+1.61 = 6.41 mm el 506: 5.04+1.92 = 6.96 mm

These values include the effects of change-in-temperature and pressure.

The min. gap at construction must be 2.0 mm at any point around the circumference. This ensures that the pipes are not subject to thermal forces when they are out of operation and an increase of temperature of not more than 10C compared to the assembling temperature occurs.

.



ATTACHMENTS



CALCULATION PRINTOUTS



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 1 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 ALL ANGLES ARE IN DEGREES SYSTEM OF UNITS : SI (m,KN,KNm,KN/m2) RESULTS WILL BE STORED FOR THE FOLLOWING ELEMENTS FROM TO STEP 1 1000 1 E X T R E M E V A L U E S ELEMENT INTERNAL FORCES N QY QZ MT MY MZ ** ** ** ** ** ** DEFORMATIONS U V W PHIX PHIY PHIZ ** ** ** ** ** **



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 2 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 Q-NO Q-NAME D-O D-I T RADIUS GAMMA-F NUE SIG Ci Ca 1 DN1500 PIPE 1.524 1.499 0.01270 0.000 10.000 0.300 0.2900E+06 0.0000 0.0000 2 DN1500 BEND 1.524 1.499 0.01270 2.290 10.000 0.300 0.2900E+06 0.0000 0.0000 3 DN1300 PIPE 1.321 1.295 0.01270 0.000 10.000 0.300 0.2900E+06 0.0000 0.0000 4 DN1300 BEND 1.321 1.295 0.01270 1.320 10.000 0.300 0.2900E+06 0.0000 0.0000 5 DN900 PIPE 0.914 0.895 0.00950 0.000 10.000 0.300 0.2410E+06 0.0000 0.0000 6 DN900 BEND 0.914 0.895 0.00950 0.910 10.000 0.300 0.2410E+06 0.0000 0.0000 7 DN1100 PIPE 1.118 1.097 0.01030 0.000 10.000 0.300 0.2410E+06 0.0000 0.0000 8 DN1100 ELBOW 1.118 1.097 0.01030 1.676 10.000 0.300 0.2410E+06 0.0000 0.0000



Pages 3-6 not attached. (Input Protocol) Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 7 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 S Y S T E M - A C T I V A T I O N VX VY VZ PHI-X PHI-Y PHI-Z STIFFNE MASS 2ND ORD. EVAL.NO FILE ** ** ** ** ** ** ** 336 FREEDOMS 42 BANDWIDTH AT ELEMENT 74 68 ACTIVE ELEMENTS 796 EXISTING ELEMENTS ACTIVE/INACTIVE ELEMENTS FROM TO STEP ACT INA TIME FROM TO STEP ACT INA TIME 1 6 1 ** 61 65 1 ** 7 ** 66 70 1 ** 8 11 1 ** 71 75 1 ** 12 ** 76 400 1 ** 13 16 1 ** 401 407 1 ** 17 ** 408 499 1 ** 18 21 1 ** 501 508 1 ** 22 ** 509 599 1 ** 23 26 1 ** 601 602 1 ** 27 ** 603 ** 28 31 1 ** 604 606 1 ** 32 ** 607 ** 33 36 1 ** 608 699 1 ** 37 ** 901 902 1 ** 38 41 1 ** 903 ** 42 ** 904 905 1 ** 43 45 1 ** 906 999 1 ** 46 60 1 **



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 8 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 UNIT OF ANGLES IS DEGREES SYSTEM OF UNITS : SI (m,KN,KNm,KN/m2) -------------------------------------------------------------------------- NODE-COORDINATES NO X Y Z 1 4.820 -7.000 0.000 2 3.500 -5.680 0.000 3 3.500 -1.320 0.000 4 2.180 0.000 0.000 5 1.320 0.000 0.000 6 0.000 1.320 0.000 7 0.000 4.700 0.000 8 0.000 4.700 0.000 9 0.000 7.750 0.000 10 0.000 10.800 0.000 11 0.000 13.850 0.000 12 0.000 16.900 0.000 13 0.000 16.900 0.000 14 0.000 19.950 0.000 15 0.000 23.000 0.000 16 0.000 26.050 0.000 17 0.000 29.100 0.000 18 0.000 29.100 0.000 19 0.000 32.150 0.000 20 0.000 35.200 0.000 21 0.000 38.250 0.000 22 0.000 41.300 0.000 23 0.000 41.300 0.000 24 0.000 42.300 0.000 25 0.000 44.550 0.000 26 0.000 49.140 0.000 27 0.000 52.140 0.000 28 0.000 52.140 0.000 29 0.000 55.190 0.000 30 0.000 58.240 0.000 31 0.000 61.290 0.000 32 0.000 64.340 0.000 33 0.000 64.340 0.000 34 0.000 67.390 0.000 35 0.000 70.440 0.000 36 0.000 73.490 0.000 37 0.000 76.540 0.000 38 0.000 76.540 0.000 39 0.000 79.590 0.000 40 0.000 82.640 0.000 41 0.000 85.690 0.000 42 0.000 88.740 0.000 43 0.000 88.740 0.000 44 0.000 89.230 0.000 45 -0.910 90.140 0.000 46 -4.500 90.140 0.000



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 9 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 NODE-COORDINATES NO X Y Z 62 -2.400 42.300 0.000 63 -3.424 42.300 0.000 64 -5.100 42.300 -1.676 65 -5.100 42.300 -2.825 66 -5.100 42.300 -5.650 71 10.901 -7.000 -6.255 72 9.701 -7.000 -3.128 73 8.825 -7.000 -0.847 74 7.593 -7.000 0.000 75 6.000 -7.000 0.000 SUPPORT CONDITIONS (ELASTIC SPRING CONSTANTS) NO C-PX C-PY C-PZ C-MX C-MY C-MZ 46 FIXED FIXED FIXED E L E M E N T O R I E N T E D D A T A (LENGTH-ANGLE-MATERIAL) NO I K TYPE L BETA ALFA-1 ALFA-2 E G 1 1 2 7 1.87 0.00 45.00 180.00 0.206E+09 0.858E+08 2 2 3 1 4.36 0.00 90.00 0.00 0.206E+09 0.858E+08 3 3 4 7 1.87 180.00 45.00 180.00 0.206E+09 0.858E+08 4 4 5 1 0.86 0.00 0.00 180.00 0.206E+09 0.858E+08 5 5 6 7 1.87 0.00 45.00 180.00 0.206E+09 0.858E+08 6 6 7 1 3.38 0.00 90.00 0.00 0.206E+09 0.858E+08 8 8 9 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 9 9 10 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 10 10 11 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 11 11 12 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 13 13 14 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 14 14 15 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 15 15 16 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 16 16 17 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 18 18 19 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 19 19 20 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 20 20 21 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 21 21 22 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 23 23 24 1 1.00 0.00 90.00 0.00 0.206E+09 0.858E+08 24 24 25 1 2.25 0.00 90.00 0.00 0.206E+09 0.858E+08 25 25 26 1 4.59 0.00 90.00 0.00 0.206E+09 0.858E+08



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 10 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 E L E M E N T O R I E N T E D D A T A (LENGTH-ANGLE-MATERIAL) NO I K TYPE L BETA ALFA-1 ALFA-2 E G 26 26 27 1 3.00 0.00 90.00 0.00 0.206E+09 0.858E+08 28 28 29 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 29 29 30 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 30 30 31 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 31 31 32 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 33 33 34 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 34 34 35 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 35 35 36 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 36 36 37 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 38 38 39 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 39 39 40 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 40 40 41 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 41 41 42 1 3.05 0.00 90.00 0.00 0.206E+09 0.858E+08 43 43 44 1 0.49 0.00 90.00 0.00 0.206E+09 0.858E+08 44 44 45 7 1.29 179.99 45.00 180.00 0.206E+09 0.858E+08 45 45 46 1 3.59 0.00 0.00 180.00 0.206E+09 0.858E+08 61 24 62 1 2.40 0.00 0.00 180.00 0.206E+09 0.858E+08 62 62 63 1 1.02 0.00 0.00 180.00 0.206E+09 0.858E+08 63 63 64 7 2.37 90.00 0.00-135.00 0.206E+09 0.858E+08 64 64 65 1 1.15 0.00 0.00 -90.00 0.206E+09 0.858E+08 65 65 66 1 2.83 0.00 0.00 -90.00 0.206E+09 0.858E+08 71 71 72 1 3.35 0.00 0.00 111.00 0.206E+09 0.858E+08 72 72 73 1 2.44 0.00 0.00 111.00 0.206E+09 0.858E+08 73 73 74 7 1.50 90.00 0.00 145.50 0.206E+09 0.858E+08 74 74 75 1 1.59 0.00 0.00 180.00 0.206E+09 0.858E+08 75 75 1 1 1.18 0.00 0.00 180.00 0.206E+09 0.858E+08 401 0 11 2 5.00 0.00 0.00 0.00 402 0 16 2 5.00 0.00 0.00 0.00 403 0 21 2 5.00 0.00 0.00 0.00 404 0 26 2 5.00 0.00 0.00 0.00 405 0 31 2 5.00 0.00 0.00 0.00 406 0 36 2 5.00 0.00 0.00 0.00 407 0 41 2 5.00 0.00 0.00 0.00 501 7 8 2 0.00 0.00 0.00 0.00 502 12 13 2 0.00 0.00 0.00 0.00 503 17 18 2 0.00 0.00 0.00 0.00 504 22 23 2 0.00 0.00 0.00 0.00 505 27 28 2 0.00 0.00 0.00 0.00 506 32 33 2 0.00 0.00 0.00 0.00 507 37 38 2 0.00 0.00 0.00 0.00 508 42 43 2 0.00 0.00 0.00 0.00 603 0 66 2 5.50 0.00 90.00 0.00 607 0 75 2 5.50 0.00 90.00 0.00 901 0 71 2 5.50 -21.00 90.00 0.00 902 0 6 2 5.50 0.00 90.00 0.00 904 0 62 2 5.50 0.00 90.00 0.00 905 0 46 2 5.50 0.00 90.00 0.00



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 11 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 ELEMENT SUBDIVISION TEN ONE OUTPUT 0 1 2 3 4 5 6 7 8 9 -------------------------------------------------------------------------- 0 : 1 1 1 1 1 1 1 1 1 : 1 1 1 1 1 1 1 1 2 : 1 1 1 1 1 1 1 1 3 : 1 1 1 1 1 1 1 1 4 : 1 1 1 1 1 6 : 1 1 1 1 1 7 : 1 1 1 1 1 40 : 1 1 1 1 1 1 1 50 : 1 1 1 1 1 1 1 1 60 : 1 1 90 : 1 1 1 1 E L E M E N T O R I E N T E D D A T A (CROSS-SECTIONAL DATA) NO I K TYPE A-N A-Q-Y A-Q-Z J-T J-B-Y J-B-Z 1 1 2 7 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 2 2 3 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 3 3 4 7 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 4 4 5 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 5 5 6 7 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 6 6 7 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 8 8 9 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 9 9 10 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 10 10 11 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 11 11 12 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 13 13 14 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 14 14 15 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 15 15 16 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 16 16 17 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 18 18 19 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 19 19 20 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 20 20 21 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 21 21 22 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 23 23 24 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 24 24 25 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 25 25 26 1 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276 26 26 27 1 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276 28 28 29 1 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276 29 29 30 1 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276 30 30 31 1 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276 31 31 32 1 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276 33 33 34 1 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276 34 34 35 1 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 12 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 E L E M E N T O R I E N T E D D A T A (CROSS-SECTIONAL DATA) NO I K TYPE A-N A-Q-Y A-Q-Z J-T J-B-Y J-B-Z 35 35 36 1 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276 36 36 37 1 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276 38 38 39 1 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276 39 39 40 1 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276 40 40 41 1 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276 41 41 42 1 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276 43 43 44 1 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276 44 44 45 7 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276 45 45 46 1 0.02701 0.01352 0.01352 0.00553 0.00276 0.00276 61 24 62 1 0.03583 0.01793 0.01793 0.01098 0.00549 0.00549 62 62 63 1 0.03583 0.01793 0.01793 0.01098 0.00549 0.00549 63 63 64 7 0.03583 0.01793 0.01793 0.01098 0.00549 0.00549 64 64 65 1 0.03583 0.01793 0.01793 0.01098 0.00549 0.00549 65 65 66 1 0.03583 0.01793 0.01793 0.01098 0.00549 0.00549 71 71 72 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 72 72 73 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 73 73 74 7 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 74 74 75 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 75 75 1 1 0.05219 0.02612 0.02612 0.02233 0.01116 0.01116 E L E M E N T O R I E N T E D D A T A (ECC. CONNECTIONS) NO I K TYPE E-X-A E-Y-A E-Z-A E-X-E E-Y-E E-Z-E 902 0 6 2 0.000 0.000 0.000 0.000 1.000 0.000 ELEMENTS WITH CIRCULAR CROSS-SECTION ELMT DO-B DI-B T-B DA-E DI-E T-E 2 1.3208 1.2954 0.01270 4 1.3208 1.2954 0.01270 6 1.3208 1.2954 0.01270 8 1.3208 1.2954 0.01270 9 1.3208 1.2954 0.01270 10 1.3208 1.2954 0.01270 11 1.3208 1.2954 0.01270 13 1.3208 1.2954 0.01270 14 1.3208 1.2954 0.01270 15 1.3208 1.2954 0.01270 16 1.3208 1.2954 0.01270 18 1.3208 1.2954 0.01270



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 13 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 ELEMENTS WITH CIRCULAR CROSS-SECTION ELMT DO-B DI-B T-B DA-E DI-E T-E 19 1.3208 1.2954 0.01270 20 1.3208 1.2954 0.01270 21 1.3208 1.2954 0.01270 23 1.3208 1.2954 0.01270 24 1.3208 1.2954 0.01270 25 0.9144 0.8954 0.00950 26 0.9144 0.8954 0.00950 28 0.9144 0.8954 0.00950 29 0.9144 0.8954 0.00950 30 0.9144 0.8954 0.00950 31 0.9144 0.8954 0.00950 33 0.9144 0.8954 0.00950 34 0.9144 0.8954 0.00950 35 0.9144 0.8954 0.00950 36 0.9144 0.8954 0.00950 38 0.9144 0.8954 0.00950 39 0.9144 0.8954 0.00950 40 0.9144 0.8954 0.00950 41 0.9144 0.8954 0.00950 43 0.9144 0.8954 0.00950 45 0.9144 0.8954 0.00950 61 1.1176 1.0970 0.01030 62 1.1176 1.0970 0.01030 64 1.1176 1.0970 0.01030 65 1.1176 1.0970 0.01030 71 1.3208 1.2954 0.01270 72 1.3208 1.2954 0.01270 74 1.3208 1.2954 0.01270 75 1.3208 1.2954 0.01270 SUPPORT VALUES ELMT C-VX C-VY C-VZ C-PHI-X C-PHI-Y C-PHI-Z 401 0.1000E+06 0.1000E+06 0.1000E+06 0.1000E+03 0.1000E+03 0.1000E+03 402 0.1000E+06 0.1000E+06 0.1000E+06 0.1000E+03 0.1000E+03 0.1000E+03 403 0.1000E+06 0.1000E+06 0.1000E+06 0.1000E+03 0.1000E+03 0.1000E+03 404 0.1000E+06 0.1000E+06 0.1000E+06 0.1000E+03 0.1000E+03 0.1000E+03 405 0.1000E+06 0.1000E+06 0.1000E+06 0.1000E+03 0.1000E+03 0.1000E+03 406 0.1000E+06 0.1000E+06 0.1000E+06 0.1000E+03 0.1000E+03 0.1000E+03 407 0.1000E+06 0.1000E+06 0.1000E+06 0.1000E+03 0.1000E+03 0.1000E+03 501 0.1000E-02 0.1000E+05 0.1000E+05 0.0000E+00 0.0000E+00 0.0000E+00 502 0.1000E-02 0.1000E+05 0.1000E+05 0.0000E+00 0.0000E+00 0.0000E+00 503 0.1000E-02 0.1000E+05 0.1000E+05 0.0000E+00 0.0000E+00 0.0000E+00 504 0.1000E-02 0.1000E+05 0.1000E+05 0.0000E+00 0.0000E+00 0.0000E+00 505 0.1000E-02 0.1000E+05 0.1000E+05 0.0000E+00 0.0000E+00 0.0000E+00 506 0.1000E-02 0.1000E+05 0.1000E+05 0.0000E+00 0.0000E+00 0.0000E+00 507 0.1000E-02 0.1000E+05 0.1000E+05 0.0000E+00 0.0000E+00 0.0000E+00



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 14 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 SUPPORT VALUES ELMT C-VX C-VY C-VZ C-PHI-X C-PHI-Y C-PHI-Z 508 0.1000E+08 0.1000E+08 0.1000E+08 0.1000E+08 0.1000E+08 0.1000E+08 603 0.1000E+07 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 607 0.1000E+07 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 901 0.1000E+07 0.1000E+07 0.1000E+07 0.1000E+07 0.1000E+07 0.1000E+07 902 0.1000E+08 0.1000E+07 0.1000E+07 0.1000E+06 0.1000E+06 0.1000E+06 904 0.1000E+07 0.1000E+07 0.1000E+07 0.1000E+07 0.1000E+07 0.1000E+07 905 0.1000E+07 0.1000E+07 0.1000E+07 0.0000E+00 0.0000E+00 0.0000E+00 PIPE-TYPE-ASSIGNMENT ELMT ND-B ND-E TYP-B TYP-E NAME-B NAME-E SOIL-MAT 1 1 2 4 4 DN1300 BEND DN1300 BEND 2 2 3 3 3 DN1300 PIPE DN1300 PIPE 3 3 4 4 4 DN1300 BEND DN1300 BEND 4 4 5 3 3 DN1300 PIPE DN1300 PIPE 5 5 6 4 4 DN1300 BEND DN1300 BEND 6 6 7 3 3 DN1300 PIPE DN1300 PIPE 8 8 9 3 3 DN1300 PIPE DN1300 PIPE 9 9 10 3 3 DN1300 PIPE DN1300 PIPE 10 10 11 3 3 DN1300 PIPE DN1300 PIPE 11 11 12 3 3 DN1300 PIPE DN1300 PIPE 13 13 14 3 3 DN1300 PIPE DN1300 PIPE 14 14 15 3 3 DN1300 PIPE DN1300 PIPE 15 15 16 3 3 DN1300 PIPE DN1300 PIPE 16 16 17 3 3 DN1300 PIPE DN1300 PIPE 18 18 19 3 3 DN1300 PIPE DN1300 PIPE 19 19 20 3 3 DN1300 PIPE DN1300 PIPE 20 20 21 3 3 DN1300 PIPE DN1300 PIPE 21 21 22 3 3 DN1300 PIPE DN1300 PIPE 23 23 24 3 3 DN1300 PIPE DN1300 PIPE 24 24 25 3 3 DN1300 PIPE DN1300 PIPE 25 25 26 5 5 DN900 PIPE DN900 PIPE 26 26 27 5 5 DN900 PIPE DN900 PIPE 28 28 29 5 5 DN900 PIPE DN900 PIPE 29 29 30 5 5 DN900 PIPE DN900 PIPE 30 30 31 5 5 DN900 PIPE DN900 PIPE 31 31 32 5 5 DN900 PIPE DN900 PIPE 33 33 34 5 5 DN900 PIPE DN900 PIPE 34 34 35 5 5 DN900 PIPE DN900 PIPE 35 35 36 5 5 DN900 PIPE DN900 PIPE 36 36 37 5 5 DN900 PIPE DN900 PIPE 38 38 39 5 5 DN900 PIPE DN900 PIPE 39 39 40 5 5 DN900 PIPE DN900 PIPE 40 40 41 5 5 DN900 PIPE DN900 PIPE 41 41 42 5 5 DN900 PIPE DN900 PIPE 43 43 44 5 5 DN900 PIPE DN900 PIPE 44 44 45 6 6 DN900 BEND DN900 BEND



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 15 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 PIPE-TYPE-ASSIGNMENT ELMT ND-B ND-E TYP-B TYP-E NAME-B NAME-E SOIL-MAT 45 45 46 5 5 DN900 PIPE DN900 PIPE 61 24 62 7 7 DN1100 PIPE DN1100 PIPE 62 62 63 7 7 DN1100 PIPE DN1100 PIPE 63 63 64 8 8 DN1100 ELBOW DN1100 ELBOW 64 64 65 7 7 DN1100 PIPE DN1100 PIPE 65 65 66 7 7 DN1100 PIPE DN1100 PIPE 71 71 72 3 3 DN1300 PIPE DN1300 PIPE 72 72 73 3 3 DN1300 PIPE DN1300 PIPE 73 73 74 4 4 DN1300 BEND DN1300 BEND 74 74 75 3 3 DN1300 PIPE DN1300 PIPE 75 75 1 3 3 DN1300 PIPE DN1300 PIPE USED PIPE-TYPES CS-NR CS-NAME D-A D-I T RADIUS GAMMA-F 3 DN1300 PIPE 1.3208 1.2954 0.01270 0.0000 10.0000 4 DN1300 BEND 1.3208 1.2954 0.01270 1.3200 10.0000 5 DN900 PIPE 0.9144 0.8954 0.00950 0.0000 10.0000 6 DN900 BEND 0.9144 0.8954 0.00950 0.9100 10.0000 7 DN1100 PIPE 1.1176 1.0970 0.01030 0.0000 10.0000 8 DN1100 ELBOW 1.1176 1.0970 0.01030 1.6760 10.0000



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 16 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 BENDED PIPE ELEMENTS (ANSI) ELMT TYP DO DI R ALFA T FAC-F FAC-SI FAC-SO 1 1 1.3208 1.2954 1.3200 45.000 0.01270 42.105 7.801 6.501 3 1 1.3208 1.2954 1.3200 45.000 0.01270 42.105 7.801 6.501 5 1 1.3208 1.2954 1.3200 45.000 0.01270 42.105 7.801 6.501 44 1 0.9144 0.8954 0.9100 45.000 0.00950 39.072 7.422 6.185 63 1 1.1176 1.0970 1.6760 45.000 0.01030 29.298 6.126 5.105 73 1 1.3208 1.2954 1.3200 34.499 0.01270 42.105 7.801 6.501 336 DEG.OF FREEDOM BANDWIDTH : STIFFNESS 42



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 17 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 LOADCS. 1 SP-CD 1 SP-DEL 1 FACTOR 1.000 DEAD LOAD+OPERATION (Temp.+Press.) SUP - file: rmdat19 SELF-WEIGHT FROM TO STEP R-X R-Y R-Z GAMMA 1 98 1 0.000 -1.000 0.000 78.500 CENTRIC UNIFORM LOAD FROM TO STEP QX-G QY-G QZ-G QX-L QY-L QZ-L 1 98 1 0.000 -0.300 0.000 0.000 0.000 0.000 NODAL POINT LOAD ND-FR TO STEP FX FY FZ MX MY MZ 6 6 1 0.000 -900.000 0.000 0.000 0.000 0.000 6 6 1 0.000 -1055.000 0.000 0.000 0.000 0.000 44 44 1 0.000 504.000 0.000 0.000 0.000 0.000 25 25 1 0.000 551.000 0.000 0.000 0.000 0.000 TEMPERATURE FROM TO STEP ALPHA DT-G DT-Y H-Y DT-Z H-Z 1 99 1 0.120E-04 -40.000 0.000 0.000 0.000 0.000 6 24 1 0.120E-04 -10.100 0.000 0.000 0.000 0.000 25 43 1 0.120E-04 -7.000 0.000 0.000 0.000 0.000 MEDIUM WEIGHT FOR PIPE FROM TO STEP R-X R-Y R-Z 1 5 1 0.000 -1.000 0.000 71 75 1 0.000 -1.000 0.000 45 46 1 0.000 -1.000 0.000 61 66 1 0.000 -1.000 0.000



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 18 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 LOADCS. 1 SP-CD 1 SP-DEL 1 FACTOR 1.000 DEAD LOAD+OPERATION (Temp.+Press.) SUP - file: rmdat19 INTERNAL PRESSURE OF PIPE FROM TO STEP P TYPE 1 5 1 0 1600.0 0.0 71 75 1 0 1600.0 0.0 44 46 1 0 800.0 0.0 61 66 1 0 1200.0 0.0 LOADCS. 2 SP-CD 1 SP-DEL 1 FACTOR 1.000 DEAD LOAD SUP - file: rmdat19 SELF-WEIGHT FROM TO STEP R-X R-Y R-Z GAMMA 1 98 1 0.000 -1.000 0.000 78.500 CENTRIC UNIFORM LOAD FROM TO STEP QX-G QY-G QZ-G QX-L QY-L QZ-L 1 98 1 0.000 -0.300 0.000 0.000 0.000 0.000 NODAL POINT LOAD ND-FR TO STEP FX FY FZ MX MY MZ 6 6 1 0.000 -900.000 0.000 0.000 0.000 0.000 MEDIUM WEIGHT FOR PIPE FROM TO STEP R-X R-Y R-Z 1 5 1 0.000 -1.000 0.000 71 75 1 0.000 -1.000 0.000 45 46 1 0.000 -1.000 0.000 61 66 1 0.000 -1.000 0.000



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 19 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 LOADCS 1 DEAD LOAD+OPERATION (Temp.+Press.) DISPLACEMENT GLOBAL( 1000. * RESULTS) DET 1943.125 ------------------- ELMT ND VX VY VZ PHI-X PHI-Y PHI-Z 1 1 2.01526 -1.18361 -2.22869 0.13324 -0.14586 -0.79354 1 2 0.79354 -3.47749 -1.94243 -0.15131 -0.33598 -0.94886 2 2 0.79354 -3.47750 -1.94243 -0.15131 -0.33598 -0.94886 2 3 -3.13846 -5.24556 -1.23766 -0.16644 -0.33295 -0.83440 3 3 -3.13846 -5.24556 -1.23766 -0.16644 -0.33295 -0.83440 3 4 -2.17625 -4.23159 -0.58295 -0.16283 -0.27746 2.17686 4 4 -2.17625 -4.23159 -0.58295 -0.16283 -0.27746 2.17686 4 5 -1.83065 -2.33320 -0.34424 -0.16258 -0.27536 2.19141 5 5 -1.83065 -2.33320 -0.34424 -0.16258 -0.27536 2.19141 5 6 0.78643 -0.19893 0.01085 -0.01329 -0.09867 0.77744 6 6 0.78643 -0.19893 0.01085 -0.01329 -0.09867 0.77744 6 7 3.41418 -2.21097 0.05574 -0.01328 -0.09867 0.77744 8 8 0.00286 4.89836 0.05558 0.00608 0.00000 -0.00031 8 9 0.00190 3.08678 0.03705 0.00607 0.00000 -0.00031 9 9 0.00190 3.08678 0.03705 0.00607 0.00000 -0.00031 9 10 0.00095 1.27899 0.01853 0.00606 0.00000 -0.00031 10 10 0.00095 1.27899 0.01853 0.00606 0.00000 -0.00031 10 11 0.00000 -0.52499 0.00006 0.00605 0.00000 -0.00031 11 11 0.00000 -0.52499 0.00006 0.00605 0.00000 -0.00031 11 12 -0.00095 -2.34006 -0.01835 0.00604 0.00000 -0.00031 13 13 0.00000 4.88368 -0.01789 -0.00196 0.00000 0.00000 13 14 0.00000 3.07241 -0.01191 -0.00195 0.00000 0.00000 14 14 0.00000 3.07241 -0.01191 -0.00195 0.00000 0.00000 14 15 0.00000 1.26495 -0.00599 -0.00192 0.00000 0.00000 15 15 0.00000 1.26495 -0.00599 -0.00192 0.00000 0.00000 15 16 0.00000 -0.53871 -0.00019 -0.00188 0.00000 0.00000 16 16 0.00000 -0.53871 -0.00019 -0.00188 0.00000 0.00000 16 17 0.00000 -2.35384 0.00546 -0.00185 0.00000 0.00000 18 18 -0.00002 4.84715 0.00406 0.00046 0.00000 0.00000 18 19 -0.00001 3.03582 0.00266 0.00043 0.00000 0.00000 19 19 -0.00001 3.03582 0.00266 0.00043 0.00000 0.00000 19 20 -0.00001 1.22829 0.00144 0.00035 0.00000 0.00000



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 20 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 LOADCS 1 DEAD LOAD+OPERATION (Temp.+Press.) DISPLACEMENT GLOBAL( 1000. * RESULTS) DET 1943.125 ------------------- ELMT ND VX VY VZ PHI-X PHI-Y PHI-Z 20 20 -0.00001 1.22829 0.00144 0.00035 0.00000 0.00000 20 21 0.00000 -0.57543 0.00056 0.00021 0.00000 0.00000 21 21 0.00000 -0.57543 0.00056 0.00021 0.00000 0.00000 21 22 0.00001 -2.39167 0.00016 0.00012 0.00000 0.00000 23 23 0.07871 4.41933 0.00435 0.00279 0.00063 -0.98754 23 24 -0.90883 3.82467 0.00157 0.00280 0.00063 -0.98754 24 24 -0.90883 3.82467 0.00157 0.00280 0.00063 -0.98754 24 25 -2.56248 2.59489 -0.00342 0.00185 0.00063 -0.57523 25 25 -2.56248 2.59489 -0.00342 0.00185 0.00063 -0.57523 25 26 -0.73754 0.04466 -0.00169 -0.00127 0.00063 0.78846 26 26 -0.73754 0.04466 -0.00169 -0.00127 0.00063 0.78846 26 27 1.62785 -1.61472 0.00212 -0.00127 0.00063 0.78846 28 28 0.00136 4.79686 0.00212 0.00023 0.00000 -0.00015 28 29 0.00091 3.11384 0.00141 0.00023 0.00000 -0.00015 29 29 0.00091 3.11384 0.00141 0.00023 0.00000 -0.00015 29 30 0.00045 1.43486 0.00071 0.00023 0.00000 -0.00015 30 30 0.00045 1.43486 0.00071 0.00023 0.00000 -0.00015 30 31 0.00000 -0.24008 0.00000 0.00023 0.00000 -0.00015 31 31 0.00000 -0.24008 0.00000 0.00023 0.00000 -0.00015 31 32 -0.00045 -1.92413 -0.00070 0.00023 0.00000 -0.00015 33 33 -0.00104 5.03912 -0.00070 -0.00008 0.00000 0.00011 33 34 -0.00069 3.35912 -0.00046 -0.00008 0.00000 0.00011 34 34 -0.00069 3.35912 -0.00046 -0.00008 0.00000 0.00011 34 35 -0.00035 1.68316 -0.00023 -0.00008 0.00000 0.00011 35 35 -0.00035 1.68316 -0.00023 -0.00008 0.00000 0.00011 35 36 0.00000 0.01125 0.00000 -0.00007 0.00000 0.00011 36 36 0.00000 0.01125 0.00000 -0.00007 0.00000 0.00011 36 37 0.00035 -1.65600 0.00022 -0.00007 0.00000 0.00011 38 38 3.71204 8.37221 0.00020 0.00003 -0.00007 -0.40309 38 39 2.48262 6.70902 0.00012 0.00002 -0.00007 -0.40309 39 39 2.48262 6.70902 0.00012 0.00002 -0.00007 -0.40309 39 40 1.25320 5.04986 0.00006 0.00002 -0.00007 -0.40309



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 21 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 LOADCS 1 DEAD LOAD+OPERATION (Temp.+Press.) DISPLACEMENT GLOBAL( 1000. * RESULTS) DET 1943.125 ------------------- ELMT ND VX VY VZ PHI-X PHI-Y PHI-Z 40 40 1.25320 5.04986 0.00006 0.00002 -0.00007 -0.40309 40 41 0.02378 3.39475 0.00000 0.00001 -0.00007 -0.40309 41 41 0.02378 3.39475 0.00000 0.00001 -0.00007 -0.40309 41 42 -1.21947 1.92980 -0.00002 0.00001 -0.00007 -0.42272 43 43 -1.21923 1.97673 -0.00002 0.00001 -0.00007 -0.42345 43 44 -1.42733 1.74175 -0.00003 0.00001 -0.00007 -0.43023 44 44 -1.42733 1.74175 -0.00003 0.00001 -0.00007 -0.43023 44 45 -1.59916 0.74730 -0.00001 0.00000 -0.00001 -0.33773 45 45 -1.59916 0.74730 -0.00001 0.00000 -0.00001 -0.33773 45 46 -0.00238 -0.00122 0.00000 0.00000 0.00000 0.00000 61 24 -0.90883 3.82467 0.00157 0.00280 0.00063 -0.98754 61 62 0.07375 0.42200 0.00013 0.00584 0.00030 -0.78520 62 62 0.07375 0.42200 0.00013 0.00584 0.00030 -0.78520 62 63 0.50322 -0.45486 -0.00019 0.01349 0.00030 -0.85283 63 63 0.50322 -0.45486 -0.00019 0.01349 0.00030 -0.85283 63 64 1.20665 -2.83092 0.70222 -0.61762 0.00031 -1.39917 64 64 1.20665 -2.83092 0.70222 -0.61762 0.00031 -1.39917 64 65 1.20700 -2.09935 1.18411 -0.66631 0.00031 -1.39917 65 65 1.20700 -2.09935 1.18411 -0.66631 0.00031 -1.39917 65 66 1.20786 -0.03566 2.36892 -0.75036 0.00031 -1.39917 71 71 -0.00900 -0.05347 0.00244 0.02190 0.03956 -0.00442 71 72 0.26871 0.12540 -1.33419 0.13214 0.07882 0.01548 72 72 0.26871 0.12540 -1.33419 0.13214 0.07882 0.01548 72 73 0.42347 0.58145 -2.32720 0.21224 0.08430 0.02988 73 73 0.42347 0.58145 -2.32720 0.21224 0.08430 0.02988 73 74 0.90097 0.76171 -2.62921 0.15713 -0.13951 -0.61880 74 74 0.90097 0.76171 -2.62921 0.15713 -0.13951 -0.61880 74 75 1.54106 -0.22613 -2.40122 0.14341 -0.14415 -0.71738 75 75 1.54106 -0.22613 -2.40122 0.14341 -0.14415 -0.71738 75 1 2.01526 -1.18361 -2.22869 0.13324 -0.14586 -0.79354



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 22 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 LOADCS 1 DEAD LOAD+OPERATION (Temp.+Press.) DISPLACEMENT GLOBAL( 1000. * RESULTS) DET 1943.125 ------------------- SPRING ELEMENTS ELMT ND VX VY VZ PHI-X PHI-Y PHI-Z 401 0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 401 11 0.00000 -0.52499 0.00006 0.00605 0.00000 -0.00031 402 0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 402 16 0.00000 -0.53871 -0.00019 -0.00188 0.00000 0.00000 403 0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 403 21 0.00000 -0.57543 0.00056 0.00021 0.00000 0.00000 404 0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 404 26 -0.73754 0.04466 -0.00169 -0.00127 0.00063 0.78846 405 0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 405 31 0.00000 -0.24008 0.00000 0.00023 0.00000 -0.00015 406 0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 406 36 0.00000 0.01125 0.00000 -0.00007 0.00000 0.00011 407 0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 407 41 0.02378 3.39475 0.00000 0.00001 -0.00007 -0.40309 501 7 3.41418 -2.21097 0.05574 -0.01328 -0.09867 0.77744 501 8 0.00286 4.89836 0.05558 0.00608 0.00000 -0.00031 502 12 -0.00095 -2.34006 -0.01835 0.00604 0.00000 -0.00031 502 13 0.00000 4.88368 -0.01789 -0.00196 0.00000 0.00000 503 17 0.00000 -2.35384 0.00546 -0.00185 0.00000 0.00000 503 18 -0.00002 4.84715 0.00406 0.00046 0.00000 0.00000 504 22 0.00001 -2.39167 0.00016 0.00012 0.00000 0.00000 504 23 0.07871 4.41933 0.00435 0.00279 0.00063 -0.98754 505 27 1.62785 -1.61472 0.00212 -0.00127 0.00063 0.78846 505 28 0.00136 4.79686 0.00212 0.00023 0.00000 -0.00015 506 32 -0.00045 -1.92413 -0.00070 0.00023 0.00000 -0.00015 506 33 -0.00104 5.03912 -0.00070 -0.00008 0.00000 0.00011 507 37 0.00035 -1.65600 0.00022 -0.00007 0.00000 0.00011 507 38 3.71204 8.37221 0.00020 0.00003 -0.00007 -0.40309 508 42 -1.21947 1.92980 -0.00002 0.00001 -0.00007 -0.42272



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 23 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 LOADCS 1 DEAD LOAD+OPERATION (Temp.+Press.) DISPLACEMENT GLOBAL( 1000. * RESULTS) DET 1943.125 ------------------- SPRING ELEMENTS ELMT ND VX VY VZ PHI-X PHI-Y PHI-Z 508 43 -1.21923 1.97673 -0.00002 0.00001 -0.00007 -0.42345 603 0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 603 66 1.20786 -0.03566 2.36892 -0.75036 0.00031 -1.39917 607 0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 607 75 1.54106 -0.22613 -2.40122 0.14341 -0.14415 -0.71738 901 0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 901 71 -0.00900 -0.05347 0.00244 0.02190 0.03956 -0.00442 902 0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 902 6 0.00900 -0.19893 -0.00244 -0.01329 -0.09867 0.77744 904 0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 904 62 0.07375 0.42200 0.00013 0.00584 0.00030 -0.78520 905 0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 905 46 -0.00238 -0.00122 0.00000 0.00000 0.00000 0.00000 ELMT-INTERNAL-VALUES DET 1943.125 -------------------- ELMT ND N QY QZ MT MY MZ 1 1 9.00 -102.35 -2.44 -1.88 16.51 -83.96 1 2 -102.35 -9.00 -2.44 1.33 13.29 40.76 2 2 -68.63 9.00 2.44 1.33 -13.29 -40.76 2 3 8.00 9.00 2.44 1.33 -2.66 -79.98 3 3 8.00 9.00 2.44 2.66 1.33 -79.98 3 4 9.00 -8.00 2.44 -0.56 4.55 -59.04 4 4 9.00 41.72 -2.44 -0.56 -4.55 59.04 4 5 9.00 56.84 -2.44 -0.56 -6.65 16.66 5 5 9.00 56.84 -2.44 6.65 -0.56 16.66 5 6 56.84 -9.00 -2.44 9.87 -3.77 -68.75 6 6 56.23 0.00 0.00 0.00 0.01 0.00



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 24 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 LOADCS 1 DEAD LOAD+OPERATION (Temp.+Press.) ELMT-INTERNAL-VALUES DET 1943.125 -------------------- ELMT ND N QY QZ MT MY MZ 6 7 71.09 0.00 0.00 0.00 0.00 0.00 8 8 71.09 0.00 0.00 0.00 0.00 0.00 8 9 84.50 0.00 0.00 0.00 0.00 0.00 9 9 84.50 0.00 0.00 0.00 0.00 0.00 9 10 97.92 0.00 0.00 0.00 -0.01 0.00 10 10 97.92 0.00 0.00 0.00 -0.01 0.00 10 11 111.33 0.00 0.00 0.00 -0.01 0.00 11 11 58.83 0.00 0.00 0.00 -0.01 0.00 11 12 72.24 0.00 0.00 0.00 0.00 0.00 13 13 72.24 0.00 0.00 0.00 0.00 0.00 13 14 85.65 0.00 0.00 0.00 0.01 0.00 14 14 85.65 0.00 0.00 0.00 0.01 0.00 14 15 99.06 0.00 0.00 0.00 0.03 0.00 15 15 99.06 0.00 0.00 0.00 0.03 0.00 15 16 112.47 0.00 0.00 0.00 0.04 0.00 16 16 58.60 0.00 -0.01 0.00 0.04 0.00 16 17 72.01 0.00 -0.01 0.00 0.00 0.00 18 18 72.01 0.00 -0.01 0.00 0.00 0.00 18 19 85.42 0.00 -0.01 0.00 -0.04 0.00 19 19 85.42 0.00 -0.01 0.00 -0.04 0.00 19 20 98.83 0.00 -0.01 0.00 -0.09 0.00 20 20 98.83 0.00 -0.01 0.00 -0.09 0.00 20 21 112.24 0.00 -0.01 0.00 -0.13 0.00 21 21 54.70 0.00 0.04 0.00 -0.13 0.00 21 22 68.11 0.00 0.04 0.00 0.00 0.00 23 23 68.11 0.00 0.04 0.00 0.00 0.00 23 24 72.51 0.00 0.04 0.00 0.04 0.00 24 24 582.39 -73.75 0.17 0.00 -1.16 -504.41 24 25 592.28 -73.75 0.17 0.00 -0.78 -338.47 25 25 41.28 -73.75 0.17 0.00 -0.78 -338.47 25 26 52.39 -73.75 0.17 0.00 0.00 0.08



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 25 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 LOADCS 1 DEAD LOAD+OPERATION (Temp.+Press.) ELMT-INTERNAL-VALUES DET 1943.125 -------------------- ELMT ND N QY QZ MT MY MZ 26 26 56.86 0.00 0.00 0.00 0.00 0.00 26 27 64.12 0.00 0.00 0.00 0.00 0.00 28 28 64.12 0.00 0.00 0.00 0.00 0.00 28 29 71.50 0.00 0.00 0.00 0.00 0.00 29 29 71.50 0.00 0.00 0.00 0.00 0.00 29 30 78.88 0.00 0.00 0.00 0.00 0.00 30 30 78.88 0.00 0.00 0.00 0.00 0.00 30 31 86.26 0.00 0.00 0.00 0.00 0.00 31 31 62.25 0.00 0.00 0.00 0.00 0.00 31 32 69.63 0.00 0.00 0.00 0.00 0.00 33 33 69.63 0.00 0.00 0.00 0.00 0.00 33 34 77.01 0.00 0.00 0.00 0.00 0.00 34 34 77.01 0.00 0.00 0.00 0.00 0.00 34 35 84.39 0.00 0.00 0.00 0.00 0.00 35 35 84.39 0.00 0.00 0.00 0.00 0.00 35 36 91.78 0.00 0.00 0.00 0.00 0.00 36 36 92.90 0.00 0.00 0.00 0.00 0.00 36 37 100.28 0.00 0.00 0.00 0.00 0.00 38 38 100.28 0.00 0.00 0.00 0.00 0.00 38 39 107.66 0.00 0.00 0.00 0.00 0.00 39 39 107.66 0.00 0.00 0.00 0.00 0.00 39 40 115.04 0.00 0.00 0.00 0.00 0.00 40 40 115.04 0.00 0.00 0.00 0.00 0.00 40 41 122.43 0.00 0.00 0.00 0.00 0.00 41 41 461.90 -2.38 0.00 0.00 0.00 0.04 41 42 469.28 -2.38 0.00 0.00 0.00 7.29 43 43 469.28 -2.38 0.00 0.00 0.00 7.29 43 44 470.47 -2.38 0.00 0.00 0.00 8.46 44 44 -33.53 -2.38 0.00 0.00 0.00 8.46 44 45 -2.38 33.53 0.00 0.00 0.00 -18.32 45 45 -2.38 -30.07 0.00 0.00 0.00 18.32 45 46 -2.38 1.22 0.00 0.00 0.00 70.11



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 26 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 LOADCS 1 DEAD LOAD+OPERATION (Temp.+Press.) ELMT-INTERNAL-VALUES DET 1943.125 -------------------- ELMT ND N QY QZ MT MY MZ 61 24 73.75 -509.88 0.13 -1.20 0.00 -504.41 61 62 73.75 -479.73 0.13 -1.20 0.30 683.12 62 62 0.00 -57.73 0.00 -7.04 0.00 -102.08 62 63 0.00 -44.86 0.00 -7.04 0.00 -49.55 63 63 0.00 0.00 44.86 49.55 -7.04 0.00 63 64 0.00 0.00 44.86 0.00 42.51 0.00 64 64 0.00 -14.27 0.00 0.00 0.00 42.51 64 65 0.00 0.17 0.00 0.00 0.00 50.61 65 65 0.00 0.17 0.00 0.00 0.00 50.61 65 66 0.00 35.66 0.00 0.00 0.00 0.00 71 71 5.50 -53.47 7.52 -11.97 -39.56 18.86 71 72 5.50 5.41 7.52 -11.97 -14.35 99.36 72 72 5.50 5.41 7.52 -11.97 -14.35 99.36 72 73 5.50 48.35 7.52 -11.97 4.03 33.69 73 73 5.50 7.52 -48.35 -35.74 0.90 -4.03 73 74 9.00 -2.44 -48.35 16.51 -75.14 -8.64 74 74 8.99 75.05 -2.44 16.51 8.64 -75.14 74 75 8.99 103.04 -2.44 16.51 4.76 -216.97 75 75 8.99 -123.09 -2.44 16.51 4.76 -216.97 75 1 8.99 -102.35 -2.44 16.51 1.88 -83.96 ELMT-INTERNAL-VALUES DET 1943.125 -------------------- SPRING ELEMENTS ELMT ND P-X P-Y P-Z M-X M-Y M-Z 401 0 0.00 -52.50 0.01 0.00 0.00 0.00 401 11 0.00 -52.50 0.01 0.00 0.00 0.00 402 0 0.00 -53.87 -0.02 0.00 0.00 0.00 402 16 0.00 -53.87 -0.02 0.00 0.00 0.00



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 27 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 LOADCS 1 DEAD LOAD+OPERATION (Temp.+Press.) ELMT-INTERNAL-VALUES DET 1943.125 -------------------- SPRING ELEMENTS ELMT ND P-X P-Y P-Z M-X M-Y M-Z 403 0 0.00 -57.54 0.06 0.00 0.00 0.00 403 21 0.00 -57.54 0.06 0.00 0.00 0.00 404 0 -73.75 4.47 -0.17 0.00 0.00 -0.08 404 26 -73.75 4.47 -0.17 0.00 0.00 -0.08 405 0 0.00 -24.01 0.00 0.00 0.00 0.00 405 31 0.00 -24.01 0.00 0.00 0.00 0.00 406 0 0.00 1.13 0.00 0.00 0.00 0.00 406 36 0.00 1.13 0.00 0.00 0.00 0.00 407 0 2.38 339.48 0.00 0.00 0.00 0.04 407 41 2.38 339.48 0.00 0.00 0.00 0.04 501 7 0.00 71.09 0.00 0.00 0.00 0.00 501 8 0.00 71.09 0.00 0.00 0.00 0.00 502 12 0.00 72.24 0.00 0.00 0.00 0.00 502 13 0.00 72.24 0.00 0.00 0.00 0.00 503 17 0.00 72.01 -0.01 0.00 0.00 0.00 503 18 0.00 72.01 -0.01 0.00 0.00 0.00 504 22 0.00 68.11 0.04 0.00 0.00 0.00 504 23 0.00 68.11 0.04 0.00 0.00 0.00 505 27 0.00 64.12 0.00 0.00 0.00 0.00 505 28 0.00 64.12 0.00 0.00 0.00 0.00 506 32 0.00 69.63 0.00 0.00 0.00 0.00 506 33 0.00 69.63 0.00 0.00 0.00 0.00 507 37 0.00 100.28 0.00 0.00 0.00 0.00 507 38 0.00 100.28 0.00 0.00 0.00 0.00 508 42 2.38 469.28 0.00 0.00 0.00 7.29 508 43 2.38 469.28 0.00 0.00 0.00 7.29 603 0 -35.66 0.00 0.00 0.00 0.00 0.00 603 66 -35.66 0.00 0.00 0.00 0.00 0.00 607 0 -226.13 0.00 0.00 0.00 0.00 0.00



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 28 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 LOADCS 1 DEAD LOAD+OPERATION (Temp.+Press.) ELMT-INTERNAL-VALUES DET 1943.125 -------------------- SPRING ELEMENTS ELMT ND P-X P-Y P-Z M-X M-Y M-Z 607 75 -226.13 0.00 0.00 0.00 0.00 0.00 901 0 -53.47 7.52 5.50 39.56 18.86 11.97 901 71 -53.47 7.52 5.50 39.56 18.86 11.97 902 0 -1989.33 -8.99 -2.44 -9.87 -1.33 -77.74 902 6 -1989.33 -8.99 -2.44 -9.87 -1.33 -77.74 904 0 422.00 -73.75 0.13 0.30 5.84 785.20 904 62 422.00 -73.75 0.13 0.30 5.84 785.20 905 0 -1.22 2.38 0.00 0.00 0.00 0.00 905 46 -1.22 2.38 0.00 0.00 0.00 0.00



Prog.: RM REV. 7.62 Date :02.05.2006 16:01 Page : 29 Auth.:** TDV-Graz-AUSTRIA ** I L F BERATENDE INGENIEURE INNSBRUCK - MUENCHEN S B G: DOKAAE PROJECT - MAKKAH RISER TO DOKAAE CHW-PIPING SUPPORT REACTION AND DEFORMATION CALCULATION REV.14.4.06 LOADCS 2 DEAD LOAD DISPLACEMENT GLOBAL( 1000. * RESULTS) DET 1943.125 ------------------- ELMT ND VX VY VZ PHI-X PHI-Y PHI

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