ML18100A892: Difference between revisions
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11/t?/13 5 I 10 I II I \?.-I \')-2.~ | 11/t?/13 5 I 10 I II I \?.-I \')-2.~ | ||
j_ j{fi) 7./21/13 1 | j_ j{fi) 7./21/13 1 | ||
*~======+/-=============~*===============~ | *~======+/-=============~*===============~ | ||
,'. .'l " | ,'. .'l " | ||
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MPR Associates, Inc. | MPR Associates, Inc. | ||
' . mMPR 320 King Street Alexandria, VA 22314 | ' . mMPR 320 King Street Alexandria, VA 22314 RECORD OF REVISIONS ahe~ | ||
Calculation No. Prepared By Page 2-JD<6'*32'0/ I-- ~r: | Calculation No. Prepared By Page 2-JD<6'*32'0/ I-- ~r: | ||
Revision Description cb :rf) 1~0,.\ 1..ss'-'C.. | Revision Description cb :rf) 1~0,.\ 1..ss'-'C.. | ||
~(grF~~l 'Z.-J lfo, ,. 1 (o""'""f..-,.~ f;.c-. ~Sl i.-<r-1- | ~(grF~~l 'Z.-J lfo, ,. 1 (o""'""f..-,.~ f;.c-. ~Sl i.-<r-1- | ||
MPR Associates, Inc . | |||
' . mMPR 320 King Street Alexandria, VA 22314 | ' . mMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By 108'51..-0' /-<- g~~ Page 3 | ||
1.0 PURPOSE The purpose of this calculation is to estimate the stresses in an ALCO 251 diesel engine cylinder liner. The stresses are calculated for the nominal liner configuration and several other configurations to evaluate the effect of variations in design parameters. | 1.0 PURPOSE The purpose of this calculation is to estimate the stresses in an ALCO 251 diesel engine cylinder liner. The stresses are calculated for the nominal liner configuration and several other configurations to evaluate the effect of variations in design parameters. | ||
2.0 RESULTS For each case evaluated the maximum stress occurs at the relief groove, at a location about 45° from the groove/flange intersection. The principal stresses at this. location are oriented at an angle of about 45°. The maximum calculated stresses are summarized below in the "principal stress" coordinate system (rotated 45°). | 2.0 RESULTS For each case evaluated the maximum stress occurs at the relief groove, at a location about 45° from the groove/flange intersection. The principal stresses at this. location are oriented at an angle of about 45°. The maximum calculated stresses are summarized below in the "principal stress" coordinate system (rotated 45°). | ||
Stress Case ax O' az Intensity | Stress Case ax O' az Intensity (psi) (pli) (psi) (psi) | ||
(psi) (pli) (psi) (psi) | |||
Nominal 43420 9036 18770 34566 Block Gap 43449 9045 18785 34586 Relief 46239 6292 18779 40117 Groove Depth 43329 9010 18712 34498 2 Mil Offset 46516 9908 20232 36870 8 Mil Offset 55425 12413 24223 43550 Nominal Firing 24424 5049 11148 19461 2 Mil Offset Firing 27452 5902 12573 21713 8 Mil Offset Firing 32677 7335 14937 25659 Worst Case 59628 13533 25983 46158 Worst Case Firing 35258 8016 15947 27279 The cases evaluated are described in detail in section 3.3 . | Nominal 43420 9036 18770 34566 Block Gap 43449 9045 18785 34586 Relief 46239 6292 18779 40117 Groove Depth 43329 9010 18712 34498 2 Mil Offset 46516 9908 20232 36870 8 Mil Offset 55425 12413 24223 43550 Nominal Firing 24424 5049 11148 19461 2 Mil Offset Firing 27452 5902 12573 21713 8 Mil Offset Firing 32677 7335 14937 25659 Worst Case 59628 13533 25983 46158 Worst Case Firing 35258 8016 15947 27279 The cases evaluated are described in detail in section 3.3 . | ||
-: MPR' Associates, Inc . | -: MPR' Associates, Inc . | ||
| Line 64: | Line 58: | ||
3.0 CALCULATION 3.1 Model The stresses in the liner are calculated using an axisymmetric finite element model of the liner as shown in Figures 1 and 2. Contact (gap) elements are included between the liner and block to simulate the contact force. The finite element model of the cylinder liner was developed using nominal dimensions for the liner and engine block. As described below, other cases were also evaluated to determine the effect of changes in some of the.liner dimensions. | 3.0 CALCULATION 3.1 Model The stresses in the liner are calculated using an axisymmetric finite element model of the liner as shown in Figures 1 and 2. Contact (gap) elements are included between the liner and block to simulate the contact force. The finite element model of the cylinder liner was developed using nominal dimensions for the liner and engine block. As described below, other cases were also evaluated to determine the effect of changes in some of the.liner dimensions. | ||
The key dimensions used in developing the model are shown in Figure 3. The primary references for the dimensions are References 1 and 2, the Bombardier Design Print for the liner and the ALCO 251 Technical Manual. These dimensions are summarized below: | The key dimensions used in developing the model are shown in Figure 3. The primary references for the dimensions are References 1 and 2, the Bombardier Design Print for the liner and the ALCO 251 Technical Manual. These dimensions are summarized below: | ||
RR4=1/2 BLKIR=l0.752/2 RR5=5/8 RELIEF=0.133 DEPTH=0.05 Cl=R3-9.8/2 | RR4=1/2 BLKIR=l0.752/2 RR5=5/8 RELIEF=0.133 DEPTH=0.05 Cl=R3-9.8/2 FLOFF=0.0001 (the flange offset) | ||
LTOT=21+15/16 IR=9/2 Ll = 1.732*(R2-Rl) | LTOT=21+15/16 IR=9/2 Ll = 1.732*(R2-Rl) | ||
R1=(9+9/16)/2 L3=0.333 R2=10/2 L5=5/16 R3=10.254/2 L7=5/16 R4=10/2 L6=(14+ 7/16)-(13+5/8)-L7 R5=10.2/2 L4=(2-L5-L7-L6)/2 R6=10.71/2 L2=LTOT-1.455-(14+ 7/16)-L1-L3-L4-L5 R7=10/2 L8=L4 R8=10.75/2 L9=0.333 R9=11.865/2 Lll=0.339 R10=R9-l/4 L10=(13+5/8)-L8-L9-(2+ 1/16)-3/8-1.5-Lll Rll=l0.660/2 L13=0.571 R12=10/2 L12= 1.5-L13 R13=(9+ 19/32)/2 L14=3/8 R14=R9-1/8 L15=0.478 BLKOR=R9+0.25 L17=0.573 BLKHT=0.75 L16=(2+ 1/16)-9/16-Ll7-LlS RTAN =RS-DEEP+ RELIEF L18=9/16 L20=7/16 RRl=l/2 L21=1/8 | R1=(9+9/16)/2 L3=0.333 R2=10/2 L5=5/16 R3=10.254/2 L7=5/16 R4=10/2 L6=(14+ 7/16)-(13+5/8)-L7 R5=10.2/2 L4=(2-L5-L7-L6)/2 R6=10.71/2 L2=LTOT-1.455-(14+ 7/16)-L1-L3-L4-L5 R7=10/2 L8=L4 R8=10.75/2 L9=0.333 R9=11.865/2 Lll=0.339 R10=R9-l/4 L10=(13+5/8)-L8-L9-(2+ 1/16)-3/8-1.5-Lll Rll=l0.660/2 L13=0.571 R12=10/2 L12= 1.5-L13 R13=(9+ 19/32)/2 L14=3/8 R14=R9-1/8 L15=0.478 BLKOR=R9+0.25 L17=0.573 BLKHT=0.75 L16=(2+ 1/16)-9/16-Ll7-LlS RTAN =RS-DEEP+ RELIEF L18=9/16 L20=7/16 RRl=l/2 L21=1/8 | ||
| Line 76: | Line 69: | ||
Two key assumptions were made developing the model. These are summarized below. | Two key assumptions were made developing the model. These are summarized below. | ||
* The analyses neglected friction effects at the lower seal (at the 0-rings). This friction force could reduce the calculated stresses if the rotation of the liner flange was restrained. | * The analyses neglected friction effects at the lower seal (at the 0-rings). This friction force could reduce the calculated stresses if the rotation of the liner flange was restrained. | ||
* The potential for contact between the lower, upper guide is neglected. Although this contact | * The potential for contact between the lower, upper guide is neglected. Although this contact is not expected, it could lower the calculated stresses. | ||
3.2 Applied Loads/Boundary Conditions The liner is subject to the following loads and boundary conditions (as shown on Figure 4): | 3.2 Applied Loads/Boundary Conditions The liner is subject to the following loads and boundary conditions (as shown on Figure 4): | ||
* Bolt Preload - The cylinder liner is held in place by the head. The preload in the head bolts is applied as a pressure to the head/liner contact surface. This load is ultimately reacted by contact with the engine block mating surface under the liner flange. This force is applied as a pressure load as shown in Figure 4. | * Bolt Preload - The cylinder liner is held in place by the head. The preload in the head bolts is applied as a pressure to the head/liner contact surface. This load is ultimately reacted by contact with the engine block mating surface under the liner flange. This force is applied as a pressure load as shown in Figure 4. | ||
* MPR Associates, Inc. | * MPR Associates, Inc. | ||
**MPR 320 King Street Alexandria, VA 22314 | **MPR 320 King Street Alexandria, VA 22314 Calculation No . Prepared By ('phecke.d By | ||
//:~~ | //:~~ | ||
Page ~ | Page ~ | ||
;Dt*37.--0J ;"-"'- | ;Dt*37.--0J ;"-"'- | ||
-- MPR Associates, Inc. | -- MPR Associates, Inc. | ||
mMPR 320 King Street Alexandria, VA 22314 | mMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Page | ||
/08 ~ 32 '0) 7 | /08 ~ 32 '0) 7 | ||
_y** | _y** | ||
/ | / | ||
.*.* (I ( | .*.* (I ( | ||
* MPR Associates, Inc . | * MPR Associates, Inc . | ||
. mMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By (."?he<;-k~ By | . mMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By (."?he<;-k~ By | ||
| Line 114: | Line 98: | ||
:t.IL -- | :t.IL -- | ||
1..I | 1..I | ||
* - MPR Associates, Inc. | * - MPR Associates, Inc. | ||
320 King Street | 320 King Street | ||
- -Alexandria, VA 22314 Page 1 | - -Alexandria, VA 22314 Page 1 | ||
* MPR Associates, Inc . | * MPR Associates, Inc . | ||
.mMPR 320 King Street Alexandria, VA 22314 | .mMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Page / 0 I f.)( -3 2.. -0 I ~ | ||
The head bolts are 1-1/4" diameter, installed with a 550 ft-lb torque. Assuming that typical lubricants are used, 550 ft-lb torque corresponds to a preload of about 35,000 lb per bolt (from Reference 15): \ I KTP(l.25) 550ft-lb =- - - | The head bolts are 1-1/4" diameter, installed with a 550 ft-lb torque. Assuming that typical lubricants are used, 550 ft-lb torque corresponds to a preload of about 35,000 lb per bolt (from Reference 15): \ I KTP(l.25) 550ft-lb =- - - | ||
12 Em(tan(>.)+µsec(a)) Dcml-'c KT = 20(1-µtan(>.)sec(a) + 2Dsin(cp) | 12 Em(tan(>.)+µsec(a)) Dcml-'c KT = 20(1-µtan(>.)sec(a) + 2Dsin(cp) | ||
* where: | * where: | ||
Em is the mean thread pitch diameter = 1.1572" | Em is the mean thread pitch diameter = 1.1572" | ||
). is the lead angle of thread = 2.25° | ). is the lead angle of thread = 2.25° a is one-half the angle of thread = 30° | ||
a is one-half the angle of thread = 30° | |||
µis the thread friction coefficient = 0.11 (for lubricated threads) 1-'c is the collar friction coefficient = 0.11 Dem = (Sm +dh)/2 = (1.875+(1.25+0.0625))/2 = 1.5938" db= 1.25+0.0625 = 1.3125" | µis the thread friction coefficient = 0.11 (for lubricated threads) 1-'c is the collar friction coefficient = 0.11 Dem = (Sm +dh)/2 = (1.875+(1.25+0.0625))/2 = 1.5938" db= 1.25+0.0625 = 1.3125" | ||
<P = 900 | <P = 900 | ||
| Line 141: | Line 119: | ||
MPR Associates, Inc. | MPR Associates, Inc. | ||
mMPR 320 King Street Alexandria, VA 22314 | mMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By f o~ -32.--o/ | ||
Page I( | Page I( | ||
~ | ~ | ||
| Line 156: | Line 133: | ||
P seal = 22877 103600 = 9674ps1. | P seal = 22877 103600 = 9674ps1. | ||
245000 | 245000 | ||
MPR Associates, Inc. | |||
320 King Street | 320 King Street | ||
*Alexandria, VA 22314 | *Alexandria, VA 22314 | ||
| Line 163: | Line 141: | ||
* Piston Transverse Loads - During piston motion, the cylinder liner reacts the piston transverse load. This load is minimal at the piston high point (firing). It is significant only when the piston is at lower positions. Since the transverse load is not significant when the piston is at the high point, transverse loads do not significantly affect the stresses near the flange. Therefore, this load is neglected in this analysis. | * Piston Transverse Loads - During piston motion, the cylinder liner reacts the piston transverse load. This load is minimal at the piston high point (firing). It is significant only when the piston is at lower positions. Since the transverse load is not significant when the piston is at the high point, transverse loads do not significantly affect the stresses near the flange. Therefore, this load is neglected in this analysis. | ||
* Thermal Effects - The cylinder liner experiences two major thermal cycles: regular start-up/shutdown and engine firing. The thermal effects of firing are not considered to affect the stresses in the relief groove area (the location of maximum stress). The firing occurs at 450 cycles per second. The only material which will cycle thermally due to firing is the liner surface, so this effect is neglected. | * Thermal Effects - The cylinder liner experiences two major thermal cycles: regular start-up/shutdown and engine firing. The thermal effects of firing are not considered to affect the stresses in the relief groove area (the location of maximum stress). The firing occurs at 450 cycles per second. The only material which will cycle thermally due to firing is the liner surface, so this effect is neglected. | ||
While the engine is running, the outside of the liner is in contact with jacket cooling water and is relatively cool, about 140°F. The lower end of the liner is in contact with lube oil, which is also about 140°F. The top of the liner inside diameter will likely be about 400-5000F during firing. Given this configuration, the major stress due to start-up is considered | While the engine is running, the outside of the liner is in contact with jacket cooling water and is relatively cool, about 140°F. The lower end of the liner is in contact with lube oil, which is also about 140°F. The top of the liner inside diameter will likely be about 400-5000F during firing. Given this configuration, the major stress due to start-up is considered to be a hoop stress. Further, it is not expected that this stress would be significant enough to significantly change the results of calculated stress intensity. | ||
MPR Associates, Inc. | |||
mMPR 320 King Street Alexandria, VA 22314 | mMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By 9chec~ | ||
Calculation No. Prepared By 9chec~ | |||
* 3.3 1ot*;2-01 Cases | * 3.3 1ot*;2-01 Cases | ||
~ ~( Page IJ A total of eleven cases were evaluated. These cases include the nominal configuration and several parametric cases to evaluate the effect of variation in key dimensions. A summary of the cases is provided below. | ~ ~( Page IJ A total of eleven cases were evaluated. These cases include the nominal configuration and several parametric cases to evaluate the effect of variation in key dimensions. A summary of the cases is provided below. | ||
| Line 178: | Line 154: | ||
* 0 5.377 8 0.045 Worst Case 0.110 | * 0 5.377 8 0.045 Worst Case 0.110 | ||
* 1800 5.377 8 0.045 Firing | * 1800 5.377 8 0.045 Firing | ||
* 11 Inspections of a liner showed that the groove radius could be as low as 0.110 so this value | * 11 Inspections of a liner showed that the groove radius could be as low as 0.110 so this value was used for the worst case configurations . | ||
was used for the worst case configurations . | |||
- -MPR Associates, Inc . | - -MPR Associates, Inc . | ||
| Line 190: | Line 163: | ||
* The size of the radial gap between the liner and engine block has very little effect on the calculated stresses. | * The size of the radial gap between the liner and engine block has very little effect on the calculated stresses. | ||
* The radius of the relief groove is important. As the groove radius decreases, the stresses increase. | * The radius of the relief groove is important. As the groove radius decreases, the stresses increase. | ||
* The depth of the relief groove has only a small effect on calculated stresses. | * The depth of the relief groove has only a small effect on calculated stresses. | ||
* Misalignment between the liner flange and block mating surface affects the stresses in the groove area. Although the stresses only increase a small amount for a 2 mil offset, the increase for an 8 mil offset is significant (about 25 to 30% ). | * Misalignment between the liner flange and block mating surface affects the stresses in the groove area. Although the stresses only increase a small amount for a 2 mil offset, the increase for an 8 mil offset is significant (about 25 to 30% ). | ||
* The engine firing pressure reduces the stresses in the groove. However, the stresses remain tensile over the full load cycle. | * The engine firing pressure reduces the stresses in the groove. However, the stresses remain tensile over the full load cycle. | ||
* The nominal strength of the liner material is about 36 ksi. The maximum stresses in the liner reported in Section 2 are local stresses concentrated at the inside surface of the relief groove. The liner likely can withstand maximum calculated elastic stresses slightly greater than 36 ksi. Based on the calculated stresses (and neglecting thermal stresses), the liner likely would not fail for the nominal case. However, the worst case stresses are significantly greater than the nominal stresses and local failure or damage could occur. | * The nominal strength of the liner material is about 36 ksi. The maximum stresses in the liner reported in Section 2 are local stresses concentrated at the inside surface of the relief groove. The liner likely can withstand maximum calculated elastic stresses slightly greater than 36 ksi. Based on the calculated stresses (and neglecting thermal stresses), the liner likely would not fail for the nominal case. However, the worst case stresses are significantly greater than the nominal stresses and local failure or damage could occur. | ||
**MPR 320 King Street Alexandria, VA 22314 | MPR Associates, Inc. | ||
**MPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Page /j IDB *3;. ~01 r--- | |||
ANSYS 5. 0 A DEC 17 1993 11:30:57 PLOT NO- 1 NODAL SOLUTION STEP=l SUB =1 TIME=l SY (AVG) | ANSYS 5. 0 A DEC 17 1993 11:30:57 PLOT NO- 1 NODAL SOLUTION STEP=l SUB =1 TIME=l SY (AVG) | ||
RSYS=O DMX =0.006872 SMN =-25159 SMNB= - 34 79 8 SMX =37628 SMXB=41295 | RSYS=O DMX =0.006872 SMN =-25159 SMNB= - 34 79 8 SMX =37628 SMXB=41295 | ||
| Line 207: | Line 179: | ||
~ 16699 | ~ 16699 | ||
- 23675 | - 23675 | ||
- 30652 37628 ALCO 251 CYLINDER LINER - NO A~, c...\ s-tre!.~ ~-k-f" (lr\e>lx.\ (_o1lrJwJ ~~~~"') | - 30652 37628 ALCO 251 CYLINDER LINER - NO A~, c...\ s-tre!.~ ~-k-f" (lr\e>lx.\ (_o1lrJwJ ~~~~"') | ||
E~0rc 5 | E~0rc 5 | ||
MPR Associates, Inc . | |||
. mMPR 320 King Street Alexandria, VA 22314 Page Uo ANSYS 5. 0 A DEC 17 1993 11:31:58 PLOT NO. 3 NODAL SOLUTION STEP=l SUB =l TIME=l SZ (AVG) | . mMPR 320 King Street Alexandria, VA 22314 Page Uo ANSYS 5. 0 A DEC 17 1993 11:31:58 PLOT NO. 3 NODAL SOLUTION STEP=l SUB =l TIME=l SZ (AVG) | ||
RSYS=O DMX =0.006872 SMN =*25139 SMNB=-34917 SMX =18770 SMXB=24790 | RSYS=O DMX =0.006872 SMN =*25139 SMNB=-34917 SMX =18770 SMXB=24790 | ||
| Line 219: | Line 191: | ||
- -5624 | - -5624 | ||
= | = | ||
- -744.912 c:::J 4134 9013 13891 18770 | - -744.912 c:::J 4134 9013 13891 18770 ALCO 251 CYLINDER LINER * | ||
\-\-oof s~~) ~~) | \-\-oof s~~) ~~) | ||
( G-~t>\_\ CoorJv-c.~ S.'1~\ ...) | ( G-~t>\_\ CoorJv-c.~ S.'1~\ ...) | ||
F¥Jvrt b | F¥Jvrt b | ||
* **MPR Associates, Inc. | * **MPR Associates, Inc. | ||
*mMPR 320 King Street Alexandria, VA 22314 | *mMPR 320 King Street Alexandria, VA 22314 Calculation No . Prepared By Page I? | ||
108~32 ""()/ ~ | 108~32 ""()/ ~ | ||
ANSYS 5.0 A DEC 17 1993 11:31:17 PLOT NO. 2 NODAL SOLUTION STEP=l SUB =l TIME=l SX (AVG) | ANSYS 5.0 A DEC 17 1993 11:31:17 PLOT NO. 2 NODAL SOLUTION STEP=l SUB =l TIME=l SX (AVG) | ||
| Line 239: | Line 208: | ||
~ 12723 | ~ 12723 | ||
- 18898 | - 18898 | ||
- 25072 31246 ALCO 251 CYLINDER LINER - NO | - 25072 31246 ALCO 251 CYLINDER LINER - NO | ||
~l\.._\ S-ks\ (P,.. tal./"3 | ~l\.._\ S-ks\ (P,.. tal./"3 | ||
( G-\ol-\ (ov )l""".h ~ls~-) | ( G-\ol-\ (ov )l""".h ~ls~-) | ||
f \~)'.>"- 7 | f \~)'.>"- 7 | ||
MPR Associates, Inc . | |||
.mMPR | .mMPR | ||
* 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Page / y 108 <sz-01 ~ | * 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Page / y 108 <sz-01 ~ | ||
ANSYS 5.0 A DEC 12 1993 01:53:27 PLOT NO. 1 POSTl STEP=l (a IOU I) | ANSYS 5.0 A DEC 12 1993 01:53:27 PLOT NO. 1 POSTl STEP=l (a IOU I) | ||
SUB =1 434 TIME=l PATH PLOT NOD1=339 3817. NOD2=356 zv =1 3293 DIST=0.75 XF =0.5 YF =0.5 ZF =0.5 CENTROID HIDDEN | SUB =1 434 TIME=l PATH PLOT NOD1=339 3817. NOD2=356 zv =1 3293 DIST=0.75 XF =0.5 YF =0.5 ZF =0.5 CENTROID HIDDEN 171 119 RSICJ 144.847 | ||
------------_--:::-_ -~ | ------------_--:::-_ -~ | ||
,A5I'71' | ,A5I'71' | ||
-37'1. .------ Jl!U:C% | -37'1. .------ Jl!U:C% | ||
-'104. 446'---~--.---r---,..--~--..,.1----.---=:;:==-- | -'104. 446'---~--.---r---,..--~--..,.1----.---=:;:==-- | ||
0 0.272 b.545 I o.s17 *1.363 0.136 0.408 0.681 0.954 1.227 DIST ALCO 251 CYLINDER LINER - NOMINAL sinss b '-l' ~ | 0 0.272 b.545 I o.s17 *1.363 0.136 0.408 0.681 0.954 1.227 DIST ALCO 251 CYLINDER LINER - NOMINAL sinss b '-l' ~ | ||
.Ji . | .Ji . | ||
(\<o+.-~J t\~ *) | (\<o+.-~J t\~ *) | ||
| Line 267: | Line 233: | ||
-905 .837 ' - - - - - , ,----,----,--,.----r----~==:::;::=-- | -905 .837 ' - - - - - , ,----,----,--,.----r----~==:::;::=-- | ||
0 ci.212 0.545 '1.J6J 0.136 0.408 0.681 0.954 1.227 DIST CYLINDER LINER - BLOCK GAP s+ro.s v~ DC(>~ | 0 ci.212 0.545 '1.J6J 0.136 0.408 0.681 0.954 1.227 DIST CYLINDER LINER - BLOCK GAP s+ro.s v~ DC(>~ | ||
11 c~~~J 4~ ) | |||
MPR Associates, Inc . | MPR Associates, Inc . | ||
| Line 275: | Line 241: | ||
_ZF =O. 5 CENTROID HIDDEN 241.( | _ZF =O. 5 CENTROID HIDDEN 241.( | ||
1861 | 1861 | ||
* 755.71 203.11 | * 755.71 203.11 RS'Jc;I | ||
RS'Jc;I | |||
__,/".- | __,/".- | ||
-:349.47 asrcz 1.088 1.36_ | -:349.47 asrcz 1.088 1.36_ | ||
| Line 283: | Line 247: | ||
~). ~ , \Jto11... | ~). ~ , \Jto11... | ||
(. (Lo 1z..;._J ~ o) | (. (Lo 1z..;._J ~ o) | ||
*mMPR. 320 King Street Alexandria, VA 22314 | MPR Associates, Inc. | ||
*mMPR. 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Page '2( | |||
!/}f']Z-t)/ A. | !/}f']Z-t)/ A. | ||
ANSYS 5.0 A DEC 12 1993 02:57:44 PLOT NO. 1 POSTl STEP=l c.1001> | ANSYS 5.0 A DEC 12 1993 02:57:44 PLOT NO. 1 POSTl STEP=l c.1001> | ||
| Line 294: | Line 258: | ||
0 0.273 b.546 O.BIQ 1.0'13 1.366 | 0 0.273 b.546 O.BIQ 1.0'13 1.366 | ||
: 0. !36 0.683 0.'156 1.23 DIST ALCO 251 CYLINDER LINER - CUT DEPTH | : 0. !36 0.683 0.'156 1.23 DIST ALCO 251 CYLINDER LINER - CUT DEPTH | ||
MPR Associates, Inc. | |||
*mMPR 320 King Street Alexandria, VA 22314 | *mMPR 320 King Street Alexandria, VA 22314 | ||
* Calculation No . | * Calculation No . | ||
| Line 305: | Line 270: | ||
\\" | \\" | ||
\ | \ | ||
\ *.. | \ *.. | ||
P.:Jl<.!l 127.7.( | P.:Jl<.!l 127.7.( | ||
| Line 321: | Line 285: | ||
'5543'. TIME=l PATH PLOT NOD1=339 NOD2=356 zv =1 4176 DIST=0.75 XF =0.5 YF =0.5 ZF =0.5 CENTROID HIDDEN | '5543'. TIME=l PATH PLOT NOD1=339 NOD2=356 zv =1 4176 DIST=0.75 XF =0.5 YF =0.5 ZF =0.5 CENTROID HIDDEN | ||
* 760.467 77.316 | * 760.467 77.316 | ||
-605.83 J.SlC%. | -605.83 J.SlC%. | ||
-128q ' ; | -128q ' ; | ||
0 0.272 0.545 0.817 O.JJ6 0.4011 0.681 o.q54 J .227 DIST ALCO 251 CYLINDER LINER - 8 MIL OFFSET f\j\)~ \ 3 s+rtw1 IJ<. ~ ~-K | 0 0.272 0.545 0.817 O.JJ6 0.4011 0.681 o.q54 J .227 DIST ALCO 251 CYLINDER LINER - 8 MIL OFFSET f\j\)~ \ 3 s+rtw1 IJ<. ~ ~-K | ||
( (l.<>~.).tJ 45") | ( (l.<>~.).tJ 45") | ||
| Line 332: | Line 293: | ||
320 King Street Alexandria, VA 22314 Calculation No. Prepared By (,)Cheer~ By Page 7 10~-32.*0/ /7~~ | 320 King Street Alexandria, VA 22314 Calculation No. Prepared By (,)Cheer~ By Page 7 10~-32.*0/ /7~~ | ||
ANSYS 5. 0 A DEC 12 1993 03:59:50 PLOT NO. 1 POSTl STEP=l SUB =1 TIME=l PATH PLOT NOD1=339 NOD2=356 zv =1 222r DIST=O. 75 XF =0.5 YF =0.5 187 ZF =0.5 CENTROID HIDDEN | ANSYS 5. 0 A DEC 12 1993 03:59:50 PLOT NO. 1 POSTl STEP=l SUB =1 TIME=l PATH PLOT NOD1=339 NOD2=356 zv =1 222r DIST=O. 75 XF =0.5 YF =0.5 187 ZF =0.5 CENTROID HIDDEN | ||
---~----- il:3IC1 ASIC% | ---~----- il:3IC1 ASIC% | ||
!37.604 | !37.604 | ||
| Line 344: | Line 304: | ||
MPR Associates, Inc . | MPR Associates, Inc . | ||
. mMPR- 320 King Street Alexandria, VA 22314 | . mMPR- 320 King Street Alexandria, VA 22314 | ||
~,Chee~~ By | ~,Chee~~ By Calculation No. Prepared By Page 2.1 | ||
!D~"3Z.-O/ 1:1. ~~ | !D~"3Z.-O/ 1:1. ~~ | ||
ANSYS 5. 0 A l DEC 12 1993 08:37:55 PLOT NO. 1 POSTl STEP=l c.1oul) SUB =1 3221- TIME=l PATH PLOT NOD1=339 2833 : NOD2=356 zv =1 2445* DIST=0.75 XF =0.5 YF =0.5 ZF =0.5 205 \\* CENTROID HIDDEN 1670 * | ANSYS 5. 0 A l DEC 12 1993 08:37:55 PLOT NO. 1 POSTl STEP=l c.1oul) SUB =1 3221- TIME=l PATH PLOT NOD1=339 2833 : NOD2=356 zv =1 2445* DIST=0.75 XF =0.5 YF =0.5 ZF =0.5 205 \\* CENTROID HIDDEN 1670 * | ||
| Line 354: | Line 313: | ||
0 0.272 0.545 ~.817 °1.0'1 I 1.363 0.136 0.408 0.68i C.95~ 1.227 DIST ALCO 251 CYLINDER LINER - 2 MIL OFFSET -- FIRING Sro~, V!.. 'Dtp-11, | 0 0.272 0.545 ~.817 °1.0'1 I 1.363 0.136 0.408 0.68i C.95~ 1.227 DIST ALCO 251 CYLINDER LINER - 2 MIL OFFSET -- FIRING Sro~, V!.. 'Dtp-11, | ||
[(lp~t-L qs~) | [(lp~t-L qs~) | ||
**MPR 320 King Street Alexandria, VA 22314 | MPR Associates, Inc. | ||
**MPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Page /<.,_ | |||
1ott *3z -o I r-ANSYS 5.0 A DEC 12 1993 09:01:55 PLOT NO. 1 POSTl c.1001> STEP=l SUB =1 3853" TIME=l PATH PLOT NOD1=339 3383' NOD2=356 zv =1 DIST=0.75 XF =0.5 YF =0.5 ZF =0.5 CENTROID HIDDEN | 1ott *3z -o I r-ANSYS 5.0 A DEC 12 1993 09:01:55 PLOT NO. 1 POSTl c.1001> STEP=l SUB =1 3853" TIME=l PATH PLOT NOD1=339 3383' NOD2=356 zv =1 DIST=0.75 XF =0.5 YF =0.5 ZF =0.5 CENTROID HIDDEN | ||
* ---- ~Sl<::t RSVi\" | * ---- ~Sl<::t RSVi\" | ||
| Line 366: | Line 325: | ||
MPR Associates, Inc. | MPR Associates, Inc. | ||
mMPR 320 King Street Alexandria, VA 22314 | mMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Page | ||
!D8'32-0I 77 ANSYS 5. 0 A DEC 12 1993 05:02:53 PLOT NO. 1 POSTl STEP=l (w lou1r SUB =1 5881- TIME=l PATH PLOT NOD1=343 5165 NOD2=360 zv =1 444q \* DIST=0.75 XF =0.5 YF =0.5 J7J ZF =0.5 CENTROID HIDDEN 3017 158 r.:a.:;1 RSI'n" RStC'%. | |||
!D8'32-0I 77 | |||
ANSYS 5. 0 A DEC 12 1993 05:02:53 PLOT NO. 1 POSTl STEP=l (w lou1r SUB =1 5881- TIME=l PATH PLOT NOD1=343 5165 NOD2=360 zv =1 444q \* DIST=0.75 XF =0.5 YF =0.5 J7J ZF =0.5 CENTROID HIDDEN | |||
-1250'------, ----------------==- | -1250'------, ----------------==- | ||
o 0.272 0.545 ' 0.817 1.363 0.136 0.408 0.681 0.'154 1.227 DIST ALCO 251 CYLINDER LINER - ALL EFFECTS | o 0.272 0.545 ' 0.817 1.363 0.136 0.408 0.681 0.'154 1.227 DIST ALCO 251 CYLINDER LINER - ALL EFFECTS | ||
MPR Associates, Inc. | |||
*mMPR 320 King Street Alexandria, VA 22314 n | *mMPR 320 King Street Alexandria, VA 22314 n | ||
Calculation No. Prepared By Che~kr2 By t7. ~~-wt:- Page 2.P l ANSYS 5. 0 A DEC 12 1993 16:30:31 PLOT NO. 1 POSTl STEP=l (a IOU!) | |||
SUB =1 409 TIME=l PATH PLOT NOD1=343 NOD2=360 zv =1 3103" DIST=0.75 XF =0.5 YF =0.5 260 ZF =0.5 CENTROID HIDDEN 2l!S | SUB =1 409 TIME=l PATH PLOT NOD1=343 NOD2=360 zv =1 3103" DIST=0.75 XF =0.5 YF =0.5 260 ZF =0.5 CENTROID HIDDEN 2l!S | ||
\ | \ | ||
112 | 112 | ||
| Line 388: | Line 343: | ||
MPR Associates, Inc. | MPR Associates, Inc. | ||
*mMPR 320 King Street Alexandria, VA 22314 | *mMPR 320 King Street Alexandria, VA 22314 Calculation No. | ||
,og.12- 0 1 Prepared By Ft-Page z1 | ,og.12- 0 1 Prepared By Ft-Page z1 | ||
| Line 408: | Line 362: | ||
: 14. ANSYS Output, WORSTFR.OUT, 12/14/93, 5:14p. | : 14. ANSYS Output, WORSTFR.OUT, 12/14/93, 5:14p. | ||
: 15. Mechanical Engineering Design, Joseph Shigley, 1963. | : 15. Mechanical Engineering Design, Joseph Shigley, 1963. | ||
MPR Associates, Inc . | |||
' .*MPR 320 King Street Alexandria, VA 22314 | ' .*MPR 320 King Street Alexandria, VA 22314 | ||
~c~~ | ~c~~ | ||
| Line 414: | Line 369: | ||
* /O~ ~gz -o J ~ | * /O~ ~gz -o J ~ | ||
Page 3o ATTACHMENT 1 TYPICAL ANSYS INPUT FILE | Page 3o ATTACHMENT 1 TYPICAL ANSYS INPUT FILE | ||
~ | ~ | ||
| Line 425: | Line 378: | ||
* NOMINAL | * NOMINAL | ||
/SHOW, NOMINAL, RES | /SHOW, NOMINAL, RES | ||
/PREP7 BLKIR=10.752/2 RELIEF=0.133 DEEP=0.05 PFIRE=O FLOFF=0.0001 G=386.4 PLEN=0.25 GSTIF=30E6 FBOLT=35000 IR=9/2 R1=(9+9/16)/2 R2=10/2 R3=10.254/2 R4=10/2 R5=10.2/2 R6=10.71/2 R7=10/2 R8=10.75/2 R9=11.865/2 R10=R9-1/4 R11=10.660/2 R12=10/2 R13=(9+19/32)12 | /PREP7 BLKIR=10.752/2 RELIEF=0.133 DEEP=0.05 PFIRE=O FLOFF=0.0001 G=386.4 PLEN=0.25 GSTIF=30E6 FBOLT=35000 IR=9/2 R1=(9+9/16)/2 R2=10/2 R3=10.254/2 R4=10/2 R5=10.2/2 R6=10.71/2 R7=10/2 R8=10.75/2 R9=11.865/2 R10=R9-1/4 R11=10.660/2 R12=10/2 R13=(9+19/32)12 R14=R9-1/8 BLKOR=R9+0.25 BLKHT=0.75 RTAN=R8*DEEP+RELIEF RR1=1/2 RR2=5/8 RR3=5/8 RR4=1/2 RR5=5/8 C1=R3-9.8/2 LTOT=21+15/16 L1=1.732*CR2*R1) | ||
L3=0.333 L5=5/16 L7=5/16 L6=C14+7/16)*(13+5/8)*L7 L4=C2*LS*L7*L6)/2 L2=LTOT*1.455*(14+7/16)-L1*L3*L4*L5 L8=L4 17 L9=0.333 L11=0.339 L10=C13+5/8)-L8-L9*(2+1/16)~3/8*1.5*L11 L13=0.571 L12=1.5-L13 L14=3/8 L15=0.478 L17=0.573 L16=C2+1/16)-9/16-L17*L15 L18--9/16 L20=7/16 L21=1/8 L22=1.455-L20-L21 | L3=0.333 L5=5/16 L7=5/16 L6=C14+7/16)*(13+5/8)*L7 L4=C2*LS*L7*L6)/2 L2=LTOT*1.455*(14+7/16)-L1*L3*L4*L5 L8=L4 17 L9=0.333 L11=0.339 L10=C13+5/8)-L8-L9*(2+1/16)~3/8*1.5*L11 L13=0.571 L12=1.5-L13 L14=3/8 L15=0.478 L17=0.573 L16=C2+1/16)-9/16-L17*L15 L18--9/16 L20=7/16 L21=1/8 L22=1.455-L20-L21 | ||
MPR Associates, Inc. | |||
mMPR 320 King Street Alexandria, VA 22314 | mMPR 320 King Street Alexandria, VA 22314 | ||
.t--__Calculation No. | .t--__Calculation No. | ||
1_o_s_-_1_2_-0 | 1_o_s_-_1_2_-0 Prepared By 1 ____---'-------r-.._------------"-----7 f) c,;~c(!~ By | ||
Prepared By 1 ____---'-------r-.._------------"-----7 f) c,;~c(!~ By | |||
--'i_~ | --'i_~ | ||
9 P_a_e__J_L | 9 P_a_e__J_L | ||
---L._ _ __- i H1=1.455*1.266 H2=0.01 H3=1/32 LA=L4+LS+L6+L7+L8+L9 LB=L1+L2+L3+LA+L10+L11+L12+L13 LF=LB+L14+L15+L16+L17+L18 LP=LTOT*H1*PLEN ASEAL=2*3.14159*CR11+R12)/2*CR11*R12) | ---L._ _ __- i H1=1.455*1.266 H2=0.01 H3=1/32 LA=L4+LS+L6+L7+L8+L9 LB=L1+L2+L3+LA+L10+L11+L12+L13 LF=LB+L14+L15+L16+L17+L18 LP=LTOT*H1*PLEN ASEAL=2*3.14159*CR11+R12)/2*CR11*R12) | ||
FUP=3.14159*1R*IR*PFIRE PBOLT=(7*FBOLT-FUP)/ASEAL IC,101,IR,0 IC,102,R1,0 IC,103,R2,L1 IC, 104, IR L1 A,101, 102,103, 104 ! AREA 1 IC, 105,R2,L 1+L2 IC,106,IR,L1+L2 A,103,104,106,105 I AREA 2 IC,107,R3,L1+L2+L3 IC, 108,IR L1+L2+L3 A,106,10~ 1 107,108 I AREA 3 RECTNG,IR,R3,L1+L2+L3,L1+L2+L3+LA I AREA 4 | FUP=3.14159*1R*IR*PFIRE PBOLT=(7*FBOLT-FUP)/ASEAL IC,101,IR,0 IC,102,R1,0 IC,103,R2,L1 IC, 104, IR L1 A,101, 102,103, 104 ! AREA 1 IC, 105,R2,L 1+L2 IC,106,IR,L1+L2 A,103,104,106,105 I AREA 2 IC,107,R3,L1+L2+L3 IC, 108,IR L1+L2+L3 A,106,10~ 1 107,108 I AREA 3 RECTNG,IR,R3,L1+L2+L3,L1+L2+L3+LA I AREA 4 RECTNG,R3-C1,R3,L1+L2+L3+L4,L1+L2+L3+L4+LS I AREA 5 ASBA,4,5 I NUMCHP,AREA RECTNG,R3*C1,R3,L1+L2+L3+L4+L5+L6,L1+L2+L3+L4+L5+L6+L7 I AREA 5 ASBA,4,5 I NUMCMP,AREA | ||
\IPOFFS R4+RR1,L1+L2+L3+LA PCIRC 16iRR1 I AREA 5 ASBA,<t,) I NUMCMP,AREA | \IPOFFS R4+RR1,L1+L2+L3+LA PCIRC 16iRR1 I AREA 5 ASBA,<t,) I NUMCMP,AREA | ||
\IPSTYL,DEFA RECTNG,IR,R4,L1+L2+L3+LA,L1+L2+L3+LA+L10 I AREA 5 RECTNG,IR,R5,L1+L2+L3+LA+L10,L1+L2+L3+LA+L10+L11+L12 I AREA 6 | \IPSTYL,DEFA RECTNG,IR,R4,L1+L2+L3+LA,L1+L2+L3+LA+L10 I AREA 5 RECTNG,IR,R5,L1+L2+L3+LA+L10,L1+L2+L3+LA+L10+L11+L12 I AREA 6 | ||
~Ffs R4+RR2,L1+L2+L3+LA+L10 PCIRC, 6 LRR2 I AREA 7 ASBA,6,t I NUMCMP,AREA WPSTYL,DEFA RECTNG,IR,R6,LB*L13,LB+L14+L15 I AREA 7 WPOFFS R5+RR3,LB*L13 PCIRCL6LRR3 I AREA 8 ASBA,t ,a I NUMCMP,AREA | ~Ffs R4+RR2,L1+L2+L3+LA+L10 PCIRC, 6 LRR2 I AREA 7 ASBA,6,t I NUMCMP,AREA WPSTYL,DEFA RECTNG,IR,R6,LB*L13,LB+L14+L15 I AREA 7 WPOFFS R5+RR3,LB*L13 PCIRCL6LRR3 I AREA 8 ASBA,t ,a I NUMCMP,AREA | ||
\IPSTYL,DEFA WPOFFS R7+RR4,LB+L14+L15 PCIRCL6LRR4 I AREA 8 ASBA,t,a I NUMCMP,AREA | \IPSTYL,DEFA WPOFFS R7+RR4,LB+L14+L15 PCIRCL6LRR4 I AREA 8 ASBA,t,a I NUMCMP,AREA | ||
MPR Associates, Inc . | |||
.mMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By | .mMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By | ||
* /08~-gz.-O/ | * /08~-gz.-O/ | ||
| Line 451: | Line 401: | ||
----..1------f WPSTYL,DEFA RECTNG,lR,R7,LB+L14+L15,LB+L14+L15+L16 I AREA 8 RECTNG,lR,RTAN,LB+L14+L15+L16,LF*RELlEF I AREA 9 PClRCL6 ,RRS | ----..1------f WPSTYL,DEFA RECTNG,lR,R7,LB+L14+L15,LB+L14+L15+L16 I AREA 8 RECTNG,lR,RTAN,LB+L14+L15+L16,LF*RELlEF I AREA 9 PClRCL6 ,RRS | ||
~OFFs R7+RR5,LB+L14+L15+L16 I AREA 10 ASBA,Y,10 I NUMCMP,AREA WPSTYL,DEFA RECTNG,R8,RTAN,LB+L14+L15+L16,LF*RELlEF/2 I AREA 10 ASBA,9,10 NUMCMP,AREA WPOFFS RTAN,LF-RELlEF PClRCL6,RELlEF I AREA 10 ASBA,Y, 10 I NUMCMP,AREA WPSTYL,DEFA RECTNG,lR,RTAN,LF*RELlEF,LP ! AREA 10 RECTNG R8,RTAN,LB+L14+L15+L16,LF-RELlEF/2 ! AREA 11 ASBA,1 6 , 11 NUMCMP,AREA | ~OFFs R7+RR5,LB+L14+L15+L16 I AREA 10 ASBA,Y,10 I NUMCMP,AREA WPSTYL,DEFA RECTNG,R8,RTAN,LB+L14+L15+L16,LF*RELlEF/2 I AREA 10 ASBA,9,10 NUMCMP,AREA WPOFFS RTAN,LF-RELlEF PClRCL6,RELlEF I AREA 10 ASBA,Y, 10 I NUMCMP,AREA WPSTYL,DEFA RECTNG,lR,RTAN,LF*RELlEF,LP ! AREA 10 RECTNG R8,RTAN,LB+L14+L15+L16,LF-RELlEF/2 ! AREA 11 ASBA,1 6 , 11 NUMCMP,AREA | ||
~OFFS,RTAN,LF*RELlEF PClRC,0,RELlEF I AREA 11 I | ~OFFS,RTAN,LF*RELlEF PClRC,0,RELlEF I AREA 11 I ASSA, 10, 11 I I NUMCMP,AREA I WPSTYL,DEFA I RECTNG,lR,RTAN,LP,LTOT I AREA 11 RECTNG,lRLR13,LTOT*H1*H2-H3,LTOT I AREA 12 ASBA,11, 1" NUMCMP,AREA RECTNG,R13,R12,LTOT*H1*H2,LTOT I AREA 12 ASBA,11,12 NUMCMP,AREA RECTNG\R12,R11,LTOT*H1,LTOT I AREA 12 ASBA,1 ,12 NUMCMP,AREA NUMCMP,ALL RECTNG,RTAN,R9,LF,LTOT I AREA 12 IC,501,R9,LF+L20 I IC,502,R9 LTOT I K,503,R16,uoT I IC,504,R14,LTOT*L22 I A,501 1 502L503,504 I AREA 13 I ASBA, 12, b I NUMCMP,AREA I NUMCMP,ALL I NUMMRG,ALL I NUMCMP,ALL I KMCX>lF,46,R9,LF*FLOFF AGLUE,1,2 | ||
MPR Associates, Inc. | |||
*mMPR 320 King Street Alexandria, VA 22314 | *mMPR 320 King Street Alexandria, VA 22314 | ||
* /,) Che9~d By Calculation No . Prepared By 1D~ .. 32,-01 ,,,,..,,_ y{{~ Page 3q AGLUE,2,3 AGLUE,3,4 AGLUE,4,5 AGLUE,5,6 AGLUE,6,7 AGLUE,7,8 AGLUE,8,9 AGLUE,9 10 AGLUE, 10, 11 AGLUE, 10, 12 AGLUE,11,13 NUMCMP,AREA RECTNG,BLKIR,BLKOR,LF-BLKHT,LF-FLOFF I AREA 13 1 K,601,BLKIR,LF-FLOFF K,602,BLKIR+0.125,LF-FLOFF K,603,BLKIR 1 LF-FLOFF-0.125 A,601,602,6u3 I AREA 14 ASBA, 13, 14 NUMCMP ,AREA I ET,1,PLANE42 KEYOPT, 1,3, 1 DR=1/32 KSEL,S,KP,,27 KSEL,A,KP ,,31 LSLK | * /,) Che9~d By Calculation No . Prepared By 1D~ .. 32,-01 ,,,,..,,_ y{{~ Page 3q AGLUE,2,3 AGLUE,3,4 AGLUE,4,5 AGLUE,5,6 AGLUE,6,7 AGLUE,7,8 AGLUE,8,9 AGLUE,9 10 AGLUE, 10, 11 AGLUE, 10, 12 AGLUE,11,13 NUMCMP,AREA RECTNG,BLKIR,BLKOR,LF-BLKHT,LF-FLOFF I AREA 13 1 K,601,BLKIR,LF-FLOFF K,602,BLKIR+0.125,LF-FLOFF K,603,BLKIR 1 LF-FLOFF-0.125 A,601,602,6u3 I AREA 14 ASBA, 13, 14 NUMCMP ,AREA I ET,1,PLANE42 KEYOPT, 1,3, 1 DR=1/32 KSEL,S,KP,,27 KSEL,A,KP ,,31 LSLK | ||
!LSEL,S,LINE,,40,41 LESIZE,ALL,DR | !LSEL,S,LINE,,40,41 LESIZE,ALL,DR LSEL,All HP,EX, 1, 16E6 HP,NUXY, 1,0.3 HP,DENS, 1,0.284/G ALLSEL TYPEi1 HAT, ESIZ.E,1/8 AHESH,9 ESIZE,1/12 AHESH, 10 ESIZE, 1/8 AHESH, 11L12 ESIZE,1/o AHESH, 13 ESIZ.E,1/8 AMESH,1,8 ET ,Z,CONTAC48 I Contact Elements TYPE,2 R, 1,GSTIF REAL, 1 LSEL,S,LINE,,46 NSLL,S, 1 CM,CONTACT1,NOOE NSEL,All LSEL,All LSEL,S,LINE,,68 NSLL,S, 1 CM,TARGET1,NOOE NSEL,ALL LSEL,ALL GCGEN,CONTACT1,TARGET1,1 GCGEN,TARGET1,CONTACT1,1 | ||
MPR Associates, Inc. | |||
*mMPR 320 King Street Alexandria, VA 22314 | *mMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By 10~ ... 3z-01 ,rr..._ | ||
Page ii LSEL, S,LINE, ,56 NSLL,S, 1 CH,CONTACT2,NOOE NSEL,'ALL LSEL,ALL LSEL,S,LINE, ,69 NSLL,S,1 CM,TARGET2,NOOE NSEL,ALL LSEL,ALL GCGEN,CONTACT2,TARGET2,1 GCGEN,TARGET2,CONTACT2,1 KSEL,S,LOC,Y,lf*BLKHT KSEL,R,LOC X,BLKIR,BLKOR DK,ALL,UY, 0, , 1 KSEL,S,LOC,X,R3 KSEL,R,LOC Y,L1+L2+L3+L4,L1+L2+L3+L4+L5+L6+L7 DK,ALL,UX, 0,, | Page ii LSEL, S,LINE, ,56 NSLL,S, 1 CH,CONTACT2,NOOE NSEL,'ALL LSEL,ALL LSEL,S,LINE, ,69 NSLL,S,1 CM,TARGET2,NOOE NSEL,ALL LSEL,ALL GCGEN,CONTACT2,TARGET2,1 GCGEN,TARGET2,CONTACT2,1 KSEL,S,LOC,Y,lf*BLKHT KSEL,R,LOC X,BLKIR,BLKOR DK,ALL,UY, 0, , 1 KSEL,S,LOC,X,R3 KSEL,R,LOC Y,L1+L2+L3+L4,L1+L2+L3+L4+L5+L6+L7 DK,ALL,UX, 0,, | ||
LSEL,S,LOC,Y,LTOT*H1*.001,LTOT-H1+.001 SFL,ALL,PRES,PBOLT LSEL,ALL LSEL,S,LOC,Y,LTOT*H1*H2*H3*.001,LTOT-H1*H2+.001 LSEL,R,LOC,X,IR*0.001,R12*0.001 SFL,ALL,PRES,PFIRE LSEL,ALL | LSEL,S,LOC,Y,LTOT*H1*.001,LTOT-H1+.001 SFL,ALL,PRES,PBOLT LSEL,ALL LSEL,S,LOC,Y,LTOT*H1*H2*H3*.001,LTOT-H1*H2+.001 LSEL,R,LOC,X,IR*0.001,R12*0.001 SFL,ALL,PRES,PFIRE LSEL,ALL LSEL,S,LOC,X,IR*.001,IR+.001 LSEL,R,LOC,Y,LP,LTOT*H1*H2-H3 SFL,ALL,PRES,PFIRE LSEL,ALL ALLSEL SBCTRAN ANTYPE,STATIC OUTPR,ALL,0 OUTRES,ALL,0 OUTRES,NSOL,1 OUTRES,RSOL,1 OUTRES,STRS,1 OUTRES,NLOAD,1 FINISH SAVE | ||
/SOLUTION SOLVE SAVE,NOMINAL,DB FINISH | /SOLUTION SOLVE SAVE,NOMINAL,DB FINISH | ||
/POST1 CSYS,O RSYS,O LPATH,NOOE(RTAN*RELIEF*0.7071,LF*RELIEF*(1*0.7071),0),NOOE(IR,LP,0) | /POST1 CSYS,O RSYS,O LPATH,NOOE(RTAN*RELIEF*0.7071,LF*RELIEF*(1*0.7071),0),NOOE(IR,LP,0) | ||
LOCAL 1 11,0,0,0,0,45 RSYS,11 PDEF,RSIGX,S,X PDEF,RSIGY,S,Y PDEF,RSIGZ,S,Z PDEF,RSIGI,S,INT PLPATH,RSIGX,RSIGY,RSIGZ,RSIGI PRPATH,RSIGX,RSIGY,RSIGZ,RSIGI | LOCAL 1 11,0,0,0,0,45 RSYS,11 PDEF,RSIGX,S,X PDEF,RSIGY,S,Y PDEF,RSIGZ,S,Z PDEF,RSIGI,S,INT PLPATH,RSIGX,RSIGY,RSIGZ,RSIGI PRPATH,RSIGX,RSIGY,RSIGZ,RSIGI | ||
*}} | *}} | ||
Revision as of 05:03, 3 February 2020
| ML18100A892 | |
| Person / Time | |
|---|---|
| Site: | Salem |
| Issue date: | 12/28/1993 |
| From: | MPR ASSOCIATES, INC. |
| To: | |
| Shared Package | |
| ML18100A891 | List: |
| References | |
| 108-32-01, 108-32-01-R01, 108-32-1, 108-32-1-R1, NUDOCS 9402280229 | |
| Download: ML18100A892 (35) | |
Text
{{#Wiki_filter:*. MPR ASSOCIATES, INC. 320 King Street, Alexandria, VA 22314
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MPR Associates, Inc.
' . mMPR 320 King Street Alexandria, VA 22314 RECORD OF REVISIONS ahe~
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MPR Associates, Inc .
' . mMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By 108'51..-0' /-<- g~~ Page 3
1.0 PURPOSE The purpose of this calculation is to estimate the stresses in an ALCO 251 diesel engine cylinder liner. The stresses are calculated for the nominal liner configuration and several other configurations to evaluate the effect of variations in design parameters. 2.0 RESULTS For each case evaluated the maximum stress occurs at the relief groove, at a location about 45° from the groove/flange intersection. The principal stresses at this. location are oriented at an angle of about 45°. The maximum calculated stresses are summarized below in the "principal stress" coordinate system (rotated 45°). Stress Case ax O' az Intensity (psi) (pli) (psi) (psi) Nominal 43420 9036 18770 34566 Block Gap 43449 9045 18785 34586 Relief 46239 6292 18779 40117 Groove Depth 43329 9010 18712 34498 2 Mil Offset 46516 9908 20232 36870 8 Mil Offset 55425 12413 24223 43550 Nominal Firing 24424 5049 11148 19461 2 Mil Offset Firing 27452 5902 12573 21713 8 Mil Offset Firing 32677 7335 14937 25659 Worst Case 59628 13533 25983 46158 Worst Case Firing 35258 8016 15947 27279 The cases evaluated are described in detail in section 3.3 .
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. mMPR"- 320 King Street Alexandria, VA 22314 Calculation No.
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3.0 CALCULATION 3.1 Model The stresses in the liner are calculated using an axisymmetric finite element model of the liner as shown in Figures 1 and 2. Contact (gap) elements are included between the liner and block to simulate the contact force. The finite element model of the cylinder liner was developed using nominal dimensions for the liner and engine block. As described below, other cases were also evaluated to determine the effect of changes in some of the.liner dimensions. The key dimensions used in developing the model are shown in Figure 3. The primary references for the dimensions are References 1 and 2, the Bombardier Design Print for the liner and the ALCO 251 Technical Manual. These dimensions are summarized below: RR4=1/2 BLKIR=l0.752/2 RR5=5/8 RELIEF=0.133 DEPTH=0.05 Cl=R3-9.8/2 FLOFF=0.0001 (the flange offset) LTOT=21+15/16 IR=9/2 Ll = 1.732*(R2-Rl) R1=(9+9/16)/2 L3=0.333 R2=10/2 L5=5/16 R3=10.254/2 L7=5/16 R4=10/2 L6=(14+ 7/16)-(13+5/8)-L7 R5=10.2/2 L4=(2-L5-L7-L6)/2 R6=10.71/2 L2=LTOT-1.455-(14+ 7/16)-L1-L3-L4-L5 R7=10/2 L8=L4 R8=10.75/2 L9=0.333 R9=11.865/2 Lll=0.339 R10=R9-l/4 L10=(13+5/8)-L8-L9-(2+ 1/16)-3/8-1.5-Lll Rll=l0.660/2 L13=0.571 R12=10/2 L12= 1.5-L13 R13=(9+ 19/32)/2 L14=3/8 R14=R9-1/8 L15=0.478 BLKOR=R9+0.25 L17=0.573 BLKHT=0.75 L16=(2+ 1/16)-9/16-Ll7-LlS RTAN =RS-DEEP+ RELIEF L18=9/16 L20=7/16 RRl=l/2 L21=1/8
- RR2=5/8 RR3=5/8 L22= 1.455-L20-L21
MPR Associates, Inc .
. mMPR 320 King Street Alexandria, VA 22314 Page c; Hl = 1.455-1.266 H2=0.01 H3=1/32 The liner material is cast iron, so the following material properties were used:
E = 16,000,000 psi (Reference 3 states modulus of elasticity is 14-17 ksi) v = 0.3 (assumed) The ANSYS general purpose finite element program is used to calculate stresses. Attachment 1 is a listing of the ANSYS input for the nominal case. The inputs for the other cases a~e similar. Two key assumptions were made developing the model. These are summarized below.
- The analyses neglected friction effects at the lower seal (at the 0-rings). This friction force could reduce the calculated stresses if the rotation of the liner flange was restrained.
- The potential for contact between the lower, upper guide is neglected. Although this contact is not expected, it could lower the calculated stresses.
3.2 Applied Loads/Boundary Conditions The liner is subject to the following loads and boundary conditions (as shown on Figure 4):
- Bolt Preload - The cylinder liner is held in place by the head. The preload in the head bolts is applied as a pressure to the head/liner contact surface. This load is ultimately reacted by contact with the engine block mating surface under the liner flange. This force is applied as a pressure load as shown in Figure 4.
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The head bolts are 1-1/4" diameter, installed with a 550 ft-lb torque. Assuming that typical lubricants are used, 550 ft-lb torque corresponds to a preload of about 35,000 lb per bolt (from Reference 15): \ I KTP(l.25) 550ft-lb =- - - 12 Em(tan(>.)+µsec(a)) Dcml-'c KT = 20(1-µtan(>.)sec(a) + 2Dsin(cp)
- where:
Em is the mean thread pitch diameter = 1.1572"
). is the lead angle of thread = 2.25° a is one-half the angle of thread = 30°
µis the thread friction coefficient = 0.11 (for lubricated threads) 1-'c is the collar friction coefficient = 0.11 Dem = (Sm +dh)/2 = (1.875+(1.25+0.0625))/2 = 1.5938" db= 1.25+0.0625 = 1.3125"
lx.\ (_o1lrJwJ ~~~~"') E~0rc 5 MPR Associates, Inc . . mMPR 320 King Street Alexandria, VA 22314 Page Uo ANSYS 5. 0 A DEC 17 1993 11:31:58 PLOT NO. 3 NODAL SOLUTION STEP=l SUB =l TIME=l SZ (AVG) RSYS=O DMX =0.006872 SMN =*25139 SMNB=-34917 SMX =18770 SMXB=24790 - *25139 - *20260 ~ -15381 - -10502 - -5624 = - -744.912 c:::J 4134 9013 13891 18770 ALCO 251 CYLINDER LINER * \-\-oof s~~) ~~) ( G-~t>\_\ CoorJv-c.~ S.'1~\ ...) F¥Jvrt b * **MPR Associates, Inc. *mMPR 320 King Street Alexandria, VA 22314 Calculation No . Prepared By Page I? 108~32 ""()/ ~ ANSYS 5.0 A DEC 17 1993 11:31:17 PLOT NO. 2 NODAL SOLUTION STEP=l SUB =l TIME=l SX (AVG) RSYS=O DMX =O. 006872 SMN =-24322 SMNB=-34100 SMX =31246 SMXB=35611 - -24322 - -18148 ~ -11973 - -5799 - 374.948 6549 ~ 12723 - 18898 - 25072 31246 ALCO 251 CYLINDER LINER - NO ~l\.._\ S-ks\ (P,.. tal./"3 ( G-\ol-\ (ov )l""".h ~ls~-) f \~)'.>"- 7 MPR Associates, Inc . .mMPR
- 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Page / y 108 <sz-01 ~
ANSYS 5.0 A DEC 12 1993 01:53:27 PLOT NO. 1 POSTl STEP=l (a IOU I) SUB =1 434 TIME=l PATH PLOT NOD1=339 3817. NOD2=356 zv =1 3293 DIST=0.75 XF =0.5 YF =0.5 ZF =0.5 CENTROID HIDDEN 171 119 RSICJ 144.847 ------------_--:::-_ -~ ,A5I'71' -37'1. .------ Jl!U:C% -'104. 446'---~--.---r---,..--~--..,.1----.---=:;:==-- 0 0.272 b.545 I o.s17 *1.363 0.136 0.408 0.681 0.954 1.227 DIST ALCO 251 CYLINDER LINER - NOMINAL sinss b '-l' ~ .Ji . (\<o+.-~J t\~ *)
- MPR Associates, Inc.
**MPR 320 King Street Alexandria, VA 22314 Page If l ANSYS 5.0 A DEC 12 1993 02:11:24 PLOT NO. 1 POST! c.1000 STEP=l SUB =l 434 TIME=l PATH PLOT Ja20*. NOD1=339 NOD2=356 3295 zv =1 DIST=0.75 XF =0.5 YF =0.5 ZF =0.5 CENTROID HIDDEN
- 119 144.30
-380.76 lSlCZ -905 .837 ' - - - - - , ,----,----,--,.----r----~==:::;::=-- 0 ci.212 0.545 '1.J6J 0.136 0.408 0.681 0.954 1.227 DIST CYLINDER LINER - BLOCK GAP s+ro.s v~ DC(>~ 11 c~~~J 4~ ) MPR Associates, Inc . . mMPR 320 King Street-Alexandria, VA 22314 Page V> ANSYS 5. 0 A DEC 12 1993 02:34:01 PLOT NO. 1 POST! (*IOUI) STEP=l 462 SUB =l TIME=l PATH PLOT 407f' NOD1=335 NOD2=352 351'1 zv =l DIST=0.75 XF =0.5 29 YF =0.5 _ZF =O. 5 CENTROID HIDDEN 241.( 1861
- 755.71 203.11 RS'Jc;I
__,/".- -:349.47 asrcz 1.088 1.36_ 0.135 0.407 . 0.679 0.951 1.224 DIST IALCO 251 CYLINDER LINER - RELIEF ~). ~ , \Jto11... (. (Lo 1z..;._J ~ o) MPR Associates, Inc. *mMPR. 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Page '2( !/}f']Z-t)/ A. ANSYS 5.0 A DEC 12 1993 02:57:44 PLOT NO. 1 POSTl STEP=l c.1001> SUB =1 43J3i TIME=l PATH PLOT NOD1=345 NOD2=362 zv =1 3285' DIST=0.75 XF =0.5 YF =0.5 ZF =0.5 CENTROID HIDDEN
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-380.65 l\SIC%. -<104. 376 '-------,-,---r----*.-1---,-I- - - - - , 1 - - - - ' = = - - , 0 0.273 b.546 O.BIQ 1.0'13 1.366
- 0. !36 0.683 0.'156 1.23 DIST ALCO 251 CYLINDER LINER - CUT DEPTH
MPR Associates, Inc. *mMPR 320 King Street Alexandria, VA 22314
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!D8 -3z-01 Prepared By P-- Page 2z__ ANSYS 5. 0 A DEC 12 1993 15:47:26 PLOT NO. 1 POSTl STEP=l c.1000 SUB =1 4651 TIME=l PATH PLOT NOD1=339 40861: NOD2=356 zv =l 3521 DIST=O. 75 ~' \ XF =0.5 YF =0.5 ZF =0.5 CENTROID HIDDEN \\ \\" \ \ *.. P.:Jl<.!l 127.7.( -437.741 -1003 I 0 0.272 ~.545 I 0.817 l .0'1 '(. 363 0.136 0.40S 0.6Sl l .227 DIST \ALCO 251 CYLINDER LINER - 2 MIL OFFSET 5-\n 'i.)e} -.1, 1)' pfh
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- 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Page 2 ?
/OB-:sz.-() I ""'L. ANSYS 5. 0 A DEC 12 1993 16:10:05 PLOT NO. 1 POSTl STEP=l ( .1001) SUB =1 '5543'. TIME=l PATH PLOT NOD1=339 NOD2=356 zv =1 4176 DIST=0.75 XF =0.5 YF =0.5 ZF =0.5 CENTROID HIDDEN
- 760.467 77.316
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---- k!:J-::1 J\SIC% -269.02 J\3lcY' -656.776L-----,----------------==:::,.,.. 0 0.272 0.545 ~.817 °1.0'1 I 1.363 0.136 0.408 0.68i C.95~ 1.227 DIST ALCO 251 CYLINDER LINER - 2 MIL OFFSET -- FIRING Sro~, V!.. 'Dtp-11, [(lp~t-L qs~) MPR Associates, Inc. **MPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Page /<.,_ 1ott *3z -o I r-ANSYS 5.0 A DEC 12 1993 09:01:55 PLOT NO. 1 POSTl c.1001> STEP=l SUB =1 3853" TIME=l PATH PLOT NOD1=339 3383' NOD2=356 zv =1 DIST=0.75 XF =0.5 YF =0.5 ZF =0.5 CENTROID HIDDEN
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MPR Associates, Inc. *mMPR 320 King Street Alexandria, VA 22314 Calculation No. ,og.12- 0 1 Prepared By Ft-Page z1
4.0 REFERENCES
- 1. Bombardier Inc. Drawing C21 1036124 1000 "Cylinder Liner Machining Drg.", Rev. 0.
2 ALCO 251 Diesel Engine Technical Manual
- 3. Metals Handbook, 9th Edition, Volume 1.
- 4. ANSYS Output, NOMINAL.OUT, 12/12/93, 1:53a.
- 5. ANSYS Output, BLOKGAP.OUT, 12/12/93, 2:11a.
- 6. ANSYS Output, RELIEF.OUT, 12/12/93, 2:34a.
- 7. ANSYS Output, DEPTH.OUT, 12/12/93, 2:57a.
- 8. ANSYS Output, ML2.0UT, 12/12/93, 3:47p.
- 9. ANSYS Output, ML8.0UT, 12/12/93, 4:10p.
- 10. ANSYS Output, NOMFIRE.OUT, 12/14/93, 4:13p.
- 11. ANSYS Output, ML2FIRE.OUT, 12/14/93, 4:33p.
- 12. ANSYS Output, ML8FIRE.OUT, 12/14/93, 4:54p.
- 13. ANSYS Output, WORST.OUT, 12/14/93, 5:35p.
- 14. ANSYS Output, WORSTFR.OUT, 12/14/93, 5:14p.
- 15. Mechanical Engineering Design, Joseph Shigley, 1963.
MPR Associates, Inc .
' .*MPR 320 King Street Alexandria, VA 22314
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Calculation No. Prepared By
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- MPR Associates. Inc .
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/TITLE,ALCO 251 CYLINDER LINER
- NOMINAL
/SHOW, NOMINAL, RES
/PREP7 BLKIR=10.752/2 RELIEF=0.133 DEEP=0.05 PFIRE=O FLOFF=0.0001 G=386.4 PLEN=0.25 GSTIF=30E6 FBOLT=35000 IR=9/2 R1=(9+9/16)/2 R2=10/2 R3=10.254/2 R4=10/2 R5=10.2/2 R6=10.71/2 R7=10/2 R8=10.75/2 R9=11.865/2 R10=R9-1/4 R11=10.660/2 R12=10/2 R13=(9+19/32)12 R14=R9-1/8 BLKOR=R9+0.25 BLKHT=0.75 RTAN=R8*DEEP+RELIEF RR1=1/2 RR2=5/8 RR3=5/8 RR4=1/2 RR5=5/8 C1=R3-9.8/2 LTOT=21+15/16 L1=1.732*CR2*R1)
L3=0.333 L5=5/16 L7=5/16 L6=C14+7/16)*(13+5/8)*L7 L4=C2*LS*L7*L6)/2 L2=LTOT*1.455*(14+7/16)-L1*L3*L4*L5 L8=L4 17 L9=0.333 L11=0.339 L10=C13+5/8)-L8-L9*(2+1/16)~3/8*1.5*L11 L13=0.571 L12=1.5-L13 L14=3/8 L15=0.478 L17=0.573 L16=C2+1/16)-9/16-L17*L15 L18--9/16 L20=7/16 L21=1/8 L22=1.455-L20-L21
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---L._ _ __- i H1=1.455*1.266 H2=0.01 H3=1/32 LA=L4+LS+L6+L7+L8+L9 LB=L1+L2+L3+LA+L10+L11+L12+L13 LF=LB+L14+L15+L16+L17+L18 LP=LTOT*H1*PLEN ASEAL=2*3.14159*CR11+R12)/2*CR11*R12)
FUP=3.14159*1R*IR*PFIRE PBOLT=(7*FBOLT-FUP)/ASEAL IC,101,IR,0 IC,102,R1,0 IC,103,R2,L1 IC, 104, IR L1 A,101, 102,103, 104 ! AREA 1 IC, 105,R2,L 1+L2 IC,106,IR,L1+L2 A,103,104,106,105 I AREA 2 IC,107,R3,L1+L2+L3 IC, 108,IR L1+L2+L3 A,106,10~ 1 107,108 I AREA 3 RECTNG,IR,R3,L1+L2+L3,L1+L2+L3+LA I AREA 4 RECTNG,R3-C1,R3,L1+L2+L3+L4,L1+L2+L3+L4+LS I AREA 5 ASBA,4,5 I NUMCHP,AREA RECTNG,R3*C1,R3,L1+L2+L3+L4+L5+L6,L1+L2+L3+L4+L5+L6+L7 I AREA 5 ASBA,4,5 I NUMCMP,AREA
\IPOFFS R4+RR1,L1+L2+L3+LA PCIRC 16iRR1 I AREA 5 ASBA,<t,) I NUMCMP,AREA
\IPSTYL,DEFA RECTNG,IR,R4,L1+L2+L3+LA,L1+L2+L3+LA+L10 I AREA 5 RECTNG,IR,R5,L1+L2+L3+LA+L10,L1+L2+L3+LA+L10+L11+L12 I AREA 6
~Ffs R4+RR2,L1+L2+L3+LA+L10 PCIRC, 6 LRR2 I AREA 7 ASBA,6,t I NUMCMP,AREA WPSTYL,DEFA RECTNG,IR,R6,LB*L13,LB+L14+L15 I AREA 7 WPOFFS R5+RR3,LB*L13 PCIRCL6LRR3 I AREA 8 ASBA,t ,a I NUMCMP,AREA
\IPSTYL,DEFA WPOFFS R7+RR4,LB+L14+L15 PCIRCL6LRR4 I AREA 8 ASBA,t,a I NUMCMP,AREA
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.mMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By
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----..1------f WPSTYL,DEFA RECTNG,lR,R7,LB+L14+L15,LB+L14+L15+L16 I AREA 8 RECTNG,lR,RTAN,LB+L14+L15+L16,LF*RELlEF I AREA 9 PClRCL6 ,RRS
~OFFs R7+RR5,LB+L14+L15+L16 I AREA 10 ASBA,Y,10 I NUMCMP,AREA WPSTYL,DEFA RECTNG,R8,RTAN,LB+L14+L15+L16,LF*RELlEF/2 I AREA 10 ASBA,9,10 NUMCMP,AREA WPOFFS RTAN,LF-RELlEF PClRCL6,RELlEF I AREA 10 ASBA,Y, 10 I NUMCMP,AREA WPSTYL,DEFA RECTNG,lR,RTAN,LF*RELlEF,LP ! AREA 10 RECTNG R8,RTAN,LB+L14+L15+L16,LF-RELlEF/2 ! AREA 11 ASBA,1 6 , 11 NUMCMP,AREA
~OFFS,RTAN,LF*RELlEF PClRC,0,RELlEF I AREA 11 I ASSA, 10, 11 I I NUMCMP,AREA I WPSTYL,DEFA I RECTNG,lR,RTAN,LP,LTOT I AREA 11 RECTNG,lRLR13,LTOT*H1*H2-H3,LTOT I AREA 12 ASBA,11, 1" NUMCMP,AREA RECTNG,R13,R12,LTOT*H1*H2,LTOT I AREA 12 ASBA,11,12 NUMCMP,AREA RECTNG\R12,R11,LTOT*H1,LTOT I AREA 12 ASBA,1 ,12 NUMCMP,AREA NUMCMP,ALL RECTNG,RTAN,R9,LF,LTOT I AREA 12 IC,501,R9,LF+L20 I IC,502,R9 LTOT I K,503,R16,uoT I IC,504,R14,LTOT*L22 I A,501 1 502L503,504 I AREA 13 I ASBA, 12, b I NUMCMP,AREA I NUMCMP,ALL I NUMMRG,ALL I NUMCMP,ALL I KMCX>lF,46,R9,LF*FLOFF AGLUE,1,2
MPR Associates, Inc.
*mMPR 320 King Street Alexandria, VA 22314
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!LSEL,S,LINE,,40,41 LESIZE,ALL,DR LSEL,All HP,EX, 1, 16E6 HP,NUXY, 1,0.3 HP,DENS, 1,0.284/G ALLSEL TYPEi1 HAT, ESIZ.E,1/8 AHESH,9 ESIZE,1/12 AHESH, 10 ESIZE, 1/8 AHESH, 11L12 ESIZE,1/o AHESH, 13 ESIZ.E,1/8 AMESH,1,8 ET ,Z,CONTAC48 I Contact Elements TYPE,2 R, 1,GSTIF REAL, 1 LSEL,S,LINE,,46 NSLL,S, 1 CM,CONTACT1,NOOE NSEL,All LSEL,All LSEL,S,LINE,,68 NSLL,S, 1 CM,TARGET1,NOOE NSEL,ALL LSEL,ALL GCGEN,CONTACT1,TARGET1,1 GCGEN,TARGET1,CONTACT1,1
MPR Associates, Inc.
*mMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By 10~ ... 3z-01 ,rr..._
Page ii LSEL, S,LINE, ,56 NSLL,S, 1 CH,CONTACT2,NOOE NSEL,'ALL LSEL,ALL LSEL,S,LINE, ,69 NSLL,S,1 CM,TARGET2,NOOE NSEL,ALL LSEL,ALL GCGEN,CONTACT2,TARGET2,1 GCGEN,TARGET2,CONTACT2,1 KSEL,S,LOC,Y,lf*BLKHT KSEL,R,LOC X,BLKIR,BLKOR DK,ALL,UY, 0, , 1 KSEL,S,LOC,X,R3 KSEL,R,LOC Y,L1+L2+L3+L4,L1+L2+L3+L4+L5+L6+L7 DK,ALL,UX, 0,, LSEL,S,LOC,Y,LTOT*H1*.001,LTOT-H1+.001 SFL,ALL,PRES,PBOLT LSEL,ALL LSEL,S,LOC,Y,LTOT*H1*H2*H3*.001,LTOT-H1*H2+.001 LSEL,R,LOC,X,IR*0.001,R12*0.001 SFL,ALL,PRES,PFIRE LSEL,ALL LSEL,S,LOC,X,IR*.001,IR+.001 LSEL,R,LOC,Y,LP,LTOT*H1*H2-H3 SFL,ALL,PRES,PFIRE LSEL,ALL ALLSEL SBCTRAN ANTYPE,STATIC OUTPR,ALL,0 OUTRES,ALL,0 OUTRES,NSOL,1 OUTRES,RSOL,1 OUTRES,STRS,1 OUTRES,NLOAD,1 FINISH SAVE
/SOLUTION SOLVE SAVE,NOMINAL,DB FINISH
/POST1 CSYS,O RSYS,O LPATH,NOOE(RTAN*RELIEF*0.7071,LF*RELIEF*(1*0.7071),0),NOOE(IR,LP,0)
LOCAL 1 11,0,0,0,0,45 RSYS,11 PDEF,RSIGX,S,X PDEF,RSIGY,S,Y PDEF,RSIGZ,S,Z PDEF,RSIGI,S,INT PLPATH,RSIGX,RSIGY,RSIGZ,RSIGI PRPATH,RSIGX,RSIGY,RSIGZ,RSIGI
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