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DEF SUB4 REVIEWED - BLD2021-0088+Structural_Calculations+10.10.2022_9.45.13_AM+3154681CATALYST CONSTRUCTION Job: Anthology of Edmonds 21200 72nd Ave W Edmonds WA, 98026 Submittal Package - Item # Submittal Description Submittal includes: Stamped PT Friction Loss Calcs SUBMITTAL Spec Section No: 03 38 00 - 2 Revision No: 3 Sent Date: 10/7/22 Required Date: 10/21 /22 Submittal # 03 38 00-2-3 Action Action: A = Approved AN = Approved As Noted RR = Revise and Resubmit NOTE: Please strike out any rejected items and approve the balance as noted or submitted whenever possible Contractor Stamp Project Name CATALYS Anthology of Edmonds CONSTRUCTION FOR APPROVAL O FOR RECORD Q REVIEWED QNOT REVIEWED By AKushner DATE 10/7/2022 SUBMITTAL# 033800-2- JOB# 21-18 Other/Comments: Architect Stamp Ankrom Mcisan Architects, Inc. Contractor Submittal Review Project Name: Edmonds Senior Livinq Project Number: 184470 Submittal ID: 03 38 00-2.3 Received On: 10/07/22 Reviewed On: 10/10/22 Reviewed By: adrianal Action: O No Exception Taken ❑ Revise and Resubmit ❑ Make Corrections Noted ❑ Submit Specified Item ❑ No Action Taken ❑ Rejected Review is for the 11-1d purpose of checking for the conformance with the information given antl - design concept a preeebd In the Conbod Documente. Review is not co d—d for Uie purpose of tletermining IM1e acourecy antl completeness of other tleteils sucM1 as tllmensions antl quantities, or for substantlating Na insWdions for installation or performance of equipment or systems, all of which remain the responsibility of the Contractor as required by the Contrect DocumentsThe Architect's review shall nol constitute approval a safety precautions or, unless specifically—d.oy Ne Architect, of any wn het - means, methotls, techniques, sequences or procedures. The Architect's ew sM1all not indi— pproval of an assemblyy g d.nnthe item is a component. orre Cctions or comments matleonshopdrawings during ffiereviewtlonetrelieve the Contractor from compliance with Me requirements of the planl.ns antl specifications. ANTHOLOGY OF EDMONDS Washington, 98026 Structural Calculations Levels 1 - 2 Anthology of Edmunds Level 1— Banded at 5 / H-A Anthology of Edmunds Level 1— Banded at 7 / G-M Anthology of Edmunds Level 2 — Banded at 5 / L-A Anthology of Edmunds Level 1— Uniform at K / 1-13 Anthology of Edmunds Level 2 — Uniform at K / 1-7 Anthology of Edmunds Level 2 — Uniform Typical Adds / 5-1 NO EXCEPTIONS TAKEN ❑ REVISE AND RESUBMIT ❑ MAKE CORRECTIONS NOTED ❑ REVIEW NOT REQUIRED This review is only for general conformance with the design concept and the information given in the Construction Documents. Corrections or comments made on the submittal during this review do not relieve the contractor from compliance with the requirements of the plans and specifications. Review of a specific item shall not include review of an assembly of which the item is a component. The Contractor is responsible for: dimensions to be confirmed and correlated at the jobsite; information that pertains solely to the fabrication processes or to the means, methods, techniques, sequences and procedures of construction; coordination of the Work with that of all other trades and performing all Work in a safe and satisfactory manner. 1 Consulting Engineers Date Date 10/07/2022 By JAV Prepared For: Shaun Mullenix CMC Commercial Metals Company 10840 Norwalk Blvd Santa Fe Springs, CA 90670 562-677-8709 Prepared By: N N VA TECH NOL OOZES 1432 South Jones Blvd Las Vegas, NV. 89146 (702)220-6640 ITI Project No.: 122-- EXPIRES 7/10/23 10/07/2022 ftuj. Acvm. B X x Xo EVti6 0 09/30/2022 E XAB 16aue6 op Amr oufak CMC CABLE Pt CERTIFIED PLANT 15050 Santa Ana Ave. Fontana. CA 92337 0 I GoomnGudd wGkBI�3 POST -TENSIONING STRESS LOSS AND ELONGATION CALCULATIONS FRICTION LOSS PACKAGE CALCULATION 1: BAND LEVEL 1 GRID 5 FROM GRID H TO GRID A CALCULATION 2: BAND LEVEL 1 GRID 7 FROM GRID G TO GRID M CALCULATION 3: BAND LEVEL 2 GRID 5 FROM GRID L TO GRID A CALCULATION 4: UNIFORM LEVEL 1 GRID K FROM GRID 1 TO GRID 13 CALCULATION 5: UNIFORM LEVEL 2 GRID K FROM GRID 1 TO GRID 7 CALCULATION 6: UNIFORM LEVEL 2 TYPICAL ADDS FROM GRID 5 TO 1 The stress loss calculations provided are based off the most extreme tendon cases. The purpose of these calculations are to verify that even in the most extreme areas on the project the final average force has met or exceeded the design force. In cases where minimum design force has not been met additional tendons may have been added to meet the design requirements. These stress loss calculations have been reviewed with respect to applying the CMC Post -Tensioning system to the design as prepared by the engineer of record. These calculations have not been reviewed with respect to adequacy of Post -Tensioning design as prepared by others for this project. There will be no liability or responsibility assumed for the long-term stress losses, as they are results based upon concrete design. CUSTOMER: J.R.G. CONCRETE Job #: 2224980007 JOB NAME: ANTHOLOGY OF EDMONDS DETAILER/PROJECT COORDINATOR: S.J.M. LOCATION: 21200 72ND AVE WEST EDMONDS,WASHINGTON 98026 E-MAIL: SHAUN.MULLENIX@CMC.COM ENGINEER: KPFF PHONE: 909-879-6072 PACKAGE #: 1 INK- 011. /A 7'=H1V ©L 0Gi£8 Innovating Sokitions For You 0 March 18, 2022 Mr. Chris Koelliker Commercial Metals Company (CMC) 15050 Santa Ana Ave Fontana, CA 92337 RE: Wobble and Friction Coefficients Innova Job. 121-184 Mr. Koelliker, The ACI "Building Code Requirements for Structural Concrete", 318-19, Section 20.3.2.6.2 recommends that values for wobble and curvature friction coefficients be supplied by the manufacturer of the prestressing reinforcement. And that the manufacturer shall do testing to determine those values. Commercial Metal Company manufactures Y2 inch diameter 270 ksi prestressing reinforcement that has been tested. The friction loss coefficients are as follows: • Wobble Coefficient (Kappa) = 0.00091 • Friction Coefficient (Mu) = 0.025. For more detailed information, refer to an ACI Wobble and Friction Policy Paper by Innova Technologies, dated March 18, 2022, on file with Commercial Metals Company. Please let me know if you have any further questions. Thanks for the opportunity of service. Respectfully yours, I Steven Moore, S.E. Senior Structural Engineer 1432 South Jones Blvd, 702.220.6640 TRANSPORTATION ENGrNEERrNG SOLUTiON,S STRUCTURAL ENtarNEERrNG Las Vegas, NV 89146 - 702.220.7740 CONSTRUCTION ENGINEER?NG www.innovanv.com RISA Tech, Inc. 26632 Towne Centre Drive, Suite 210, Foothill Ranch, CA 9261 Tel: (949) 951 5815, Fax: (949) 951 5848 E-mail: support@risa.com, Web site: www.risa.com ADAPT -FELT Standard 17 ADAPT POST -TENSIONING STRESS LOSS & ELONGATION PROGRAM This program calculates the long-term and immediate stress losses in a post - tensioned tendon. It outputs the elongations at the stressing ends and the final stress profile along the tendon. DATE: Jul 21, 2022 TIME: 10:36:23 P R O J E C T T I T L E: ANTHOLOGY OF EDMUNDS BANDS LEVEL 1 S P E C I F I C T I T L E GRID 5 H TO A L O N G- T E R M L O S S C A L C U L A T I O N S: INPUT PARAMETERS : Post -tensioning system ................................. UNBONDED Type of strand ......................................... LOW LAX Ultimate strength of strand ............................ 270.00 ksi Modulus of elasticity of strand ........................ 28500.00 ksi Estimate of initial average compression ................ 189.00 psi Concrete strength at 28 days ........................... 5000.00 psi Average weight of concrete ............................. NORMAL Estimated age of concrete at stressing ................. 3 days Modulus of elasticity of concrete at stressing ......... 3122.00 ksi Modulus of elasticity of concrete at 28 days ........... 4033.00 ksi Estimate of average relative humidity .................. 72. o Volume to surface ratio of member ...................... 5.00 in CALCULATED VALUES : Elastic shortening ..................................... 0.863 ksi Shrinkage .............................................. 3.893 ksi Creep.................................................. 2.137 ksi Relaxation ............................................. 4.488 ksi Total long-term stress losses .......................... 11.381 ksi F R I C T I O N & E L O N G A T I O N C A L C U L A T I O N S: INPUT PARAMETERS : Coefficient of angular friction (meu)................ 0.02500 /radian Coefficient of wobble friction (K)................... 0.00091 rad/ft Ultimate strength of strand ......... .............. 270.00 ksi Ratio of jacking stress to strand's ultimate strength 0.80 Anchor set .......................................... 0.25 inch Cross -sectional area of strand ...................... 0.153 inch^2 Total Number of Strands per Tendon ................... 1 STRESSING ........................................... AT RIGHT END LEGEND : P ....... = Tendon profile type defined as: 1=reversed parabola; 2=partial/regular parabola; 3=harped; 4=general; 5=straight; 6=extended reversed parabola; 7=cantilever down X1/L etc = horizontal distances to control points in geometry of the tendon divided by span length Stresses tabulated are after anchor set but before long-term losses. TENDON ID, GEOMETRY AND STRESS PROFILE (BAND LEVEL 1 GRID 5 FROM H TO) LENGTH < TENDON HEIGHT in.> Horizontal ratios <- STRESS (ksi) --> SPAN ft P start center right X1/L X2/L X3/L start center right -1---- 2----- 3---- 4------ 5------ 6------- 7---- 8---- 9-------- 10------ 11------ 12- 1 28.80 1 5.00 3.00 8.75 0.05 0.50 0.05 193.06 195.78 199.19 2 27.90 1 8.75 1.25 8.75 0.05 0.50 0.05 199.19 202.39 201.02 3 32.50 1 8.75 1.00 9.00 0.05 0.50 0.05 201.02 197.35 192.95 CAN 7.42 1 9.00 5.00 0.00 192.95 191.03 96.71 ft (total length of tendon) SUMMARY : Average initial stress (after release) ................... Long term stress losses ................................. Final average stress .................................... Final average force in tendon ........................... Anchor set influence from right pull (203.52ksi;0.754) .. Elongation at right pull before anchor set .............. Elongation at right pull after anchor set ............... Total elongation after anchor set ....................... Ratio of total elongation to tendon length after anchor set .................... Jacking force ........................................... CRITICAL STRESS RATIOS : At stressing 0.800; At anchorage 0.715; Max along tendon 0.754 197.75 ksi 11.38 ksi 186.37 ksi 28.51 k 48.81 ft 8.302 inch 8.052 inch 8.052 inch 0.083 inch/ft 33.05 k DETAIL OF STRESSES AT 1/20TH POINTS ALONG EACH SPAN ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Units are in ksi X/L Span 1 Span 2 Span 3 Cant ---------------------------------------------- 0.00 193.06 199.19 201.02 192.95 0.05 193.36 199.64 200.53 192.86 0.10 193.63 199.94 200.18 192.76 0.15 193.89 200.25 199.83 192.67 0.20 194.16 200.55 199.47 192.57 0.25 194.43 200.86 199.12 192.47 0.30 194.69 201.16 198.77 192.38 0.35 194.96 201.47 198.41 192.28 0.40 195.23 201.77 198.06 192.18 0.45 195.50 202.08 197.70 192.09 0.50 195.78 202.39 197.35 191.99 0.55 196.07 202.69 196.99 191.89 0.60 196.37 203.00 196.63 191.80 0.65 196.66 203.31 196.27 191.70 0.70 196.95 203.41 195.91 191.60 0.75 197.25 203.10 195.55 191.51 0.80 197.54 202.80 195.19 191.41 0.85 197.84 202.48 194.83 191.31 0.90 198.13 202.17 194.46 191.22 0.95 198.54 201.71 193.96 191.12 1.00 199.19 201.02 192.95 191.03 TENDON HEIGHT AT 1/20TH POINTS ALONG EACH SPAN ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Units are in inch X/L Span 1 Span 2 Span 3 Cant ---------------------------------------------- 0.00 5.00 8.75 8.75 9.00 0.05 4.80 8.00 7.97 8.61 0.10 4.42 6.58 6.51 8.24 0.15 4.09 5.33 5.22 7.89 0.20 3.80 4.25 4.10 7.56 0.25 3.56 3.33 3.15 7.25 0.30 3.36 2.58 2.38 6.96 0.35 3.20 2.00 1.77 6.69 0.40 3.09 1.58 1.34 6.44 0.45 3.02 1.33 1.09 6.21 0.50 3.00 1.25 1.00 6.00 0.55 3.06 1.33 1.09 5.81 0.60 3.26 1.58 1.36 5.64 0.65 3.58 2.00 1.80 5.49 0.70 4.02 2.58 2.42 5.36 0.75 4.60 3.33 3.22 5.25 0.80 5.30 4.25 4.20 5.16 0.85 6.13 5.33 5.36 5.09 0.90 7.09 6.58 6.69 5.04 0.95 8.18 8.00 8.20 5.01 1.00 8.75 8.75 9.00 5.00 RISA Tech, Inc. 26632 Towne Centre Drive, Suite 210, Foothill Ranch, CA 9261 Tel: (949) 951 5815, Fax: (949) 951 5848 E-mail: support@risa.com, Web site: www.risa.com ADAPT -FELT Standard 17 ADAPT POST -TENSIONING STRESS LOSS & ELONGATION PROGRAM This program calculates the long-term and immediate stress losses in a post - tensioned tendon. It outputs the elongations at the stressing ends and the final stress profile along the tendon. DATE: Jul 21, 2022 TIME: 10:40:19 P R O J E C T T I T L E: ANTHOLOGY OF EDMUNDS BANDS LEVEL 1 S P E C I F I C T I T L E GRID 7 G TO M L O N G- T E R M L O S S C A L C U L A T I O N S: INPUT PARAMETERS : Post -tensioning system ................................. UNBONDED Type of strand ......................................... LOW LAX Ultimate strength of strand ............................ 270.00 ksi Modulus of elasticity of strand ........................ 28500.00 ksi Estimate of initial average compression ................ 164.00 psi Concrete strength at 28 days ........................... 5000.00 psi Average weight of concrete ............................. NORMAL Estimated age of concrete at stressing ................. 3 days Modulus of elasticity of concrete at stressing ......... 3122.00 ksi Modulus of elasticity of concrete at 28 days ........... 4033.00 ksi Estimate of average relative humidity .................. 72. o Volume to surface ratio of member ...................... 5.00 in CALCULATED VALUES : Elastic shortening ..................................... 0.749 ksi Shrinkage .............................................. 3.893 ksi Creep.................................................. 1.854 ksi Relaxation ............................................. 4.503 ksi Total long-term stress losses .......................... 10.999 ksi F R I C T I O N & E L O N G A T I O N C A L C U L A T I O N S: INPUT PARAMETERS : Coefficient of angular friction (meu)................ 0.02500 /radian Coefficient of wobble friction (K)................... 0.00091 rad/ft Ultimate strength of strand ......... .............. 270.00 ksi Ratio of jacking stress to strand's ultimate strength 0.80 Anchor set .......................................... 0.25 inch Cross -sectional area of strand ...................... 0.153 inch^2 Total Number of Strands per Tendon ................... 1 STRESSING ........................................... AT RIGHT END LEGEND : P ....... = Tendon profile type defined as: 1=reversed parabola; 2=partial/regular parabola; 3=harped; 4=general; 5=straight; 6=extended reversed parabola; 7=cantilever down X1/L etc = horizontal distances to control points in geometry of the tendon divided by span length Stresses tabulated are after anchor set but before long-term losses. TENDON ID, GEOMETRY AND STRESS PROFILE (BAND LEVEL 1 GRID 7 FROM G TO) LENGTH < TENDON HEIGHT in.> Horizontal ratios SPAN ft P start center right X1/L X2/L X3/L -1---- 2----- 3---- 4------ 5------ 6------- 7---- 8---- 9---- 1 16.17 1 5.00 3.00 8.75 0.05 0.50 0.05 2 35.20 1 8.75 1.00 8.75 0.05 0.50 0.05 CAN 14.33 1 8.75 5.00 0.00 65.76 ft (total length of tendon) SUMMARY : Average initial stress (after release) ................... Long term stress losses ................................. Final average stress .................................... Final average force in tendon ........................... Anchor set influence from right pull (204.38ksi;0.757) .. Elongation at right pull before anchor set .............. Elongation at right pull after anchor set ............... Total elongation after anchor set ....................... Ratio of total elongation to tendon length after anchor set .................... Jacking force ........................................... <- STRESS (ksi) --> start center right -10------ 11------ 12- 200.22 202.03 203.96 203.96 200.10 195.79 195.79 192.76 CRITICAL STRESS RATIOS : At stressing 0.800; At anchorage 0.742; Max along tendon 0.757 199.31 ksi 11.00 ksi 188.32 ksi 28.81 k 50.10 ft 5.768 inch 5.518 inch 5.518 inch 0.084 inch/ft 33.05 k DETAIL OF STRESSES AT 1/20TH POINTS ALONG EACH SPAN ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Units are in ksi X/L ------------------------------------ Span 1 Span 2 Cant 0.00 200.22 203.96 195.79 0.05 200.46 203.46 195.64 0.10 200.63 203.09 195.49 0.15 200.81 202.72 195.34 0.20 200.98 202.35 195.19 0.25 201.15 201.97 195.04 0.30 201.32 201.60 194.88 0.35 201.49 201.22 194.73 0.40 201.66 200.85 194.58 0.45 201.83 200.47 194.43 0.50 202.03 200.10 194.28 0.55 202.24 199.72 194.13 0.60 202.46 199.34 193.98 0.65 202.67 198.96 193.82 0.70 202.89 198.59 193.67 0.75 203.10 198.21 193.52 0.80 203.32 197.83 193.37 0.85 203.53 197.44 193.22 0.90 203.75 197.06 193.06 0.95 204.17 196.55 192.91 1.00 203.96 195.79 192.76 TENDON HEIGHT AT 1/20TH POINTS ALONG EACH SPAN ---------------------------------------------- ---------------------------------------------- Units are in inch X/L ------------------------------------------------------------------------------ Span 1 Span 2 Cant 0.00 5.00 8.75 8.75 0.05 4.80 7.97 8.38 0.10 4.42 6.51 8.04 0.15 4.09 5.22 7.71 0.20 3.80 4.10 7.40 0.25 3.56 3.15 7.11 0.30 3.36 2.38 6.84 0.35 3.20 1.77 6.58 0.40 3.09 1.34 6.35 0.45 3.02 1.09 6.13 0.50 3.00 1.00 5.94 0.55 3.06 1.09 5.76 0.60 3.26 1.34 5.60 0.65 3.58 1.77 5.46 0.70 4.02 2.38 5.34 0.75 4.60 3.15 5.23 0.80 5.30 4.10 5.15 0.85 6.13 5.22 5.08 0.90 7.09 6.51 5.04 0.95 8.18 7.97 5.01 1.00 8.75 8.75 5.00 RISA Tech, Inc. 26632 Towne Centre Drive, Suite 210, Foothill Ranch, CA 9261 Tel: (949) 951 5815, Fax: (949) 951 5848 E-mail: support@risa.com, Web site: www.risa.com ADAPT -FELT Standard 17 ADAPT POST -TENSIONING STRESS LOSS & ELONGATION PROGRAM This program calculates the long-term and immediate stress losses in a post - tensioned tendon. It outputs the elongations at the stressing ends and the final stress profile along the tendon. DATE: Jul 21, 2022 TIME: 10:45:23 P R O J E C T T I T L E: ANTHOLOGY OF EDMUNDS BANDS LEVEL 2 S P E C I F I C T I T L E GRID 5 L TO A L O N G- T E R M L O S S C A L C U L A T I O N S: INPUT PARAMETERS : Post -tensioning system ................................. UNBONDED Type of strand ......................................... LOW LAX Ultimate strength of strand ............................ 270.00 ksi Modulus of elasticity of strand ........................ 28500.00 ksi Estimate of initial average compression ................ 259.00 psi Concrete strength at 28 days ........................... 5000.00 psi Average weight of concrete ............................. NORMAL Estimated age of concrete at stressing ................. 3 days Modulus of elasticity of concrete at stressing ......... 3122.00 ksi Modulus of elasticity of concrete at 28 days ........... 4033.00 ksi Estimate of average relative humidity .................. 72. o Volume to surface ratio of member ...................... 7.00 in CALCULATED VALUES : Elastic shortening ..................................... 1.182 ksi Shrinkage .............................................. 3.226 ksi Creep.................................................. 2.928 ksi Relaxation ............................................. 4.471 ksi Total long-term stress losses .......................... 11.808 ksi F R I C T I O N & E L O N G A T I O N C A L C U L A T I O N S: INPUT PARAMETERS : Coefficient of angular friction (meu)................ 0.02500 /radian Coefficient of wobble friction (K)................... 0.00091 rad/ft Ultimate strength of strand ......... .............. 270.00 ksi Ratio of jacking stress to strand's ultimate strength 0.80 Anchor set .......................................... 0.25 inch Cross -sectional area of strand ...................... 0.153 inch^2 Total Number of Strands per Tendon ................... 1 STRESSING ........................................... AT BOTH ENDS LEGEND : P ....... = Tendon profile type defined as: 1=reversed parabola; 2=partial/regular parabola; 3=harped; 4=general; 5=straight; 6=extended reversed parabola; 7=cantilever down X1/L etc = horizontal distances to control points in geometry of the tendon divided by span length Stresses tabulated are after anchor set but before long-term losses. TENDON ID, GEOMETRY AND STRESS PROFILE (BAND LEVEL 2 GRID 5 FROM L TO) LENGTH < TENDON HEIGHT in.> Horizontal ratios <- STRESS (ksi) --> SPAN ft P start center right X1/L X2/L X3/L start center right -1---- 2----- 3---- 4------ 5------ 6------- 7---- 8---- 9-------- 10------ 11------ 12- CAN 5.42 1 7.00 11.00 0.00 190.17 191.87 1 34.80 1 11.00 2.25 12.75 0.05 0.50 0.05 191.87 196.67 200.71 2 27.80 1 12.75 4.00 12.75 0.05 0.50 0.05 200.71 201.66 198.38 3 27.80 1 12.75 2.00 12.75 0.05 0.50 0.05 198.38 201.27 200.82 4 32.50 1 12.75 1.25 11.75 0.05 0.50 0.05 200.82 196.87 192.16 CAN 7.42 1 11.75 7.00 0.00 192.16 190.15 136.01 ft (total length of tendon) SUMMARY : Average initial stress (after release) ................... Long term stress losses ................................. Final average stress .................................... Final average force in tendon ........................... Anchor set influence from left pull (203.09ksi;0.752) Anchor set influence from right pull (203.07ksi;0.752) Elongation at left pull before anchor set ............... Elongation at right pull before anchor set .............. Elongation at left pull after anchor set ................ Elongation at right pull after anchor set ............... Total elongation after anchor set ....................... Ratio of total elongation to tendon length after anchor set .................... Jacking force ........................................... CRITICAL STRESS RATIOS : At stressing 0.800; At anchorage 0.712; Max along tendon 0.752 197.97 ksi 11.81 ksi 186.16 ksi 28.48 k 47.91 ft 46.27 ft 11.349 inch 0.488 inch 11.099 inch 0.238 inch 11.337 inch 0.083 inch/ft 33.05 k DETAIL OF STRESSES AT 1/20TH POINTS ALONG EACH SPAN ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Units are in ksi X/L ------------------------------------------------------------------ Cant Span 1 Span 2 Span 3 Span 4 Cant 0.00 190.17 191.87 200.71 198.38 200.82 192.16 0.05 190.24 193.07 201.49 198.35 200.24 192.05 0.10 190.33 193.61 201.99 198.67 199.87 191.96 0.15 190.41 193.99 202.30 198.99 199.50 191.85 0.20 190.50 194.38 202.62 199.32 199.13 191.75 0.25 190.59 194.76 202.94 199.64 198.75 191.65 0.30 190.67 195.15 202.92 199.96 198.38 191.55 0.35 190.76 195.53 202.60 200.29 198.00 191.45 0.40 190.85 195.91 202.29 200.61 197.63 191.35 0.45 190.93 196.29 201.97 200.94 197.25 191.25 0.50 191.02 196.67 201.66 201.27 196.87 191.15 0.55 191.10 197.06 201.35 201.59 196.50 191.05 0.60 191.19 197.45 201.03 201.92 196.13 190.94 0.65 191.28 197.84 200.72 202.25 195.76 190.84 0.70 191.36 198.22 200.41 202.58 195.38 190.74 0.75 191.45 198.61 200.10 202.91 195.01 190.64 0.80 191.53 199.00 199.79 202.91 194.63 190.54 0.85 191.62 199.38 199.48 202.58 194.25 190.44 0.90 191.70 199.77 199.17 202.25 193.88 190.34 0.95 191.79 200.15 198.86 201.71 193.31 190.23 1.00 191.87 200.71 198.38 200.82 192.16 190.15 TENDON HEIGHT AT 1/20TH POINTS ALONG EACH SPAN ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Units are in inch X/L ------------------------------------------------------------------ Cant Span 1 Span 2 Span 3 Span 4 Cant 0.00 7.00 11.00 12.75 12.75 12.75 11.75 0.05 7.01 10.12 11.88 11.68 11.60 11.29 0.10 7.04 8.47 10.22 9.64 9.43 10.85 0.15 7.09 7.01 8.76 7.85 7.51 10.43 0.20 7.16 5.75 7.50 6.30 5.85 10.04 0.25 7.25 4.68 6.43 4.99 4.44 9.67 0.30 7.36 3.81 5.56 3.91 3.29 9.33 0.35 7.49 3.12 4.88 3.08 2.40 9.01 0.40 7.64 2.64 4.39 2.48 1.76 8.71 0.45 7.81 2.35 4.10 2.12 1.38 8.44 0.50 8.00 2.25 4.00 2.00 1.25 8.19 0.55 8.21 2.37 4.10 2.12 1.37 7.96 0.60 8.44 2.72 4.39 2.48 1.72 7.76 0.65 8.69 3.30 4.88 3.08 2.30 7.58 0.70 8.96 4.12 5.56 3.91 3.12 7.43 0.75 9.25 5.17 6.43 4.99 4.17 7.30 0.80 9.56 6.45 7.50 6.30 5.45 7.19 0.85 9.89 7.97 8.76 7.85 6.97 7.11 0.90 10.24 9.72 10.22 9.64 8.72 7.05 0.95 10.61 11.70 11.88 11.68 10.70 7.01 1.00 11.00 12.75 12.75 12.75 11.75 7.00 RISA Tech, Inc. 26632 Towne Centre Drive, Suite 210, Foothill Ranch, CA 9261 Tel: (949) 951 5815, Fax: (949) 951 5848 E-mail: support@risa.com, Web site: www.risa.com ADAPT -FELT Standard 17 ADAPT POST -TENSIONING STRESS LOSS & ELONGATION PROGRAM This program calculates the long-term and immediate stress losses in a post - tensioned tendon. It outputs the elongations at the stressing ends and the final stress profile along the tendon. DATE: Sep 9, 2022 TIME: 06:46:10 P R O J E C T T I T L E: ANTHOLOGY OF EDMUNDS UNIFORMS LEVEL 1 S P E C I F I C T I T L E GRID K 1 TO 13 L O N G- T E R M L O S S C A L C U L A T I O N S: INPUT PARAMETERS : Post -tensioning system ................................. UNBONDED Type of strand ......................................... LOW LAX Ultimate strength of strand ............................ 270.00 ksi Modulus of elasticity of strand ........................ 28500.00 ksi Estimate of initial average compression ................ 168.00 psi Concrete strength at 28 days ........................... 5000.00 psi Average weight of concrete ............................. NORMAL Estimated age of concrete at stressing ................. 3 days Modulus of elasticity of concrete at stressing ......... 3122.00 ksi Modulus of elasticity of concrete at 28 days ........... 4033.00 ksi Estimate of average relative humidity .................. 72. o Volume to surface ratio of member ...................... 5.00 in CALCULATED VALUES : Elastic shortening ..................................... 0.767 ksi Shrinkage .............................................. 3.893 ksi Creep.................................................. 1.900 ksi Relaxation ............................................. 4.501 ksi Total long-term stress losses .......................... 11.061 ksi F R I C T I O N & E L O N G A T I O N C A L C U L A T I O N S: INPUT PARAMETERS : Coefficient of angular friction (meu)................ 0.02500 /radian Coefficient of wobble friction (K)................... 0.00091 rad/ft Ultimate strength of strand ......... .............. 270.00 ksi Ratio of jacking stress to strand's ultimate strength 0.80 Anchor set .......................................... 0.25 inch Cross -sectional area of strand ...................... 0.153 inch^2 Total Number of Strands per Tendon ................... 1 STRESSING ........................................... AT BOTH ENDS LEGEND : P ....... = Tendon profile type defined as: 1=reversed parabola; 2=partial/regular parabola; 3=harped; 4=general; 5=straight; 6=extended reversed parabola; 7=cantilever down X1/L etc = horizontal distances to control points in geometry of the tendon divided by span length Stresses tabulated are after anchor set but before long-term losses. TENDON ID, GEOMETRY AND STRESS PROFILE (UNIFORM LEVEL 1 GRID K FROM 1) LENGTH < TENDON HEIGHT in.> Horizontal ratios <- STRESS (ksi) --> SPAN ft P start center right X1/L X2/L X3/L start center right -1---- 2----- 3---- 4------ 5------ 6------- 7---- 8---- 9-------- 10------ 11------ 12- 1 12.55 1 5.00 6.00 8.75 0.05 0.50 0.05 191.61 193.10 194.86 2 33.50 1 8.75 1.00 8.75 0.05 0.50 0.05 194.86 199.00 202.73 3 18.50 1 8.75 5.00 8.75 0.05 0.50 0.05 202.73 202.34 200.16 4 23.25 1 8.75 2.50 8.75 0.05 0.50 0.05 200.16 197.08 194.38 5 28.60 1 8.75 1.50 8.75 0.05 0.50 0.05 194.38 195.38 198.84 6 17.50 1 8.75 6.00 7.00 0.05 0.50 0.05 198.84 200.80 202.55 7 9.75 1 7.00 7.75 8.75 0.05 0.50 0.05 202.55 203.63 203.60 8 20.00 1 8.75 5.00 8.75 0.05 0.50 0.05 203.60 201.26 198.57 9 26.75 1 8.75 3.00 5.00 0.05 0.50 0.05 198.57 195.47 192.61 190.55 ft (total length of tendon) SUMMARY : Average initial stress (after release) ................... Long term stress losses ................................. Final average stress .................................... Final average force in tendon ........................... Anchor set influence from left pull (203.81ksi;0.755) Anchor set influence from right pull (204.31ksi;0.757) Elongation at left pull before anchor set ............... Elongation at right pull before anchor set .............. Elongation at left pull after anchor set ................ Elongation at right pull after anchor set ............... Total elongation after anchor set ....................... Ratio of total elongation to tendon length after anchor set .................... Jacking force ........................................... CRITICAL STRESS RATIOS : At stressing 0.800; At anchorage 0.713; Max along tendon 0.757 198.31 ksi 11.06 ksi 187.25 ksi 28.65 k 48.87 ft 48.63 ft 15.500 inch 0.910 inch 15.250 inch 0.660 inch 15.910 inch 0.083 inch/ft 33.05 k DETAIL OF STRESSES AT 1/20TH POINTS ALONG EACH SPAN ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Units are in ksi X/L ---------------------------------------------------------------------------- Span 1 Span 2 Span 3 Span 4 Span 5 Span 6 Span 7 0.00 191.61 194.86 202.73 200.16 194.38 198.84 202.55 0.05 191.81 195.58 203.27 199.56 193.70 199.11 202.70 0.10 191.99 196.08 203.60 199.15 193.27 199.30 202.80 0.15 192.13 196.45 203.80 198.89 193.29 199.49 202.91 0.20 192.27 196.82 203.60 198.63 193.59 199.68 203.01 0.25 192.41 197.18 203.39 198.37 193.89 199.86 203.11 0.30 192.55 197.55 203.18 198.11 194.19 200.05 203.22 0.35 192.69 197.91 202.97 197.85 194.48 200.24 203.32 0.40 192.83 198.28 202.76 197.59 194.78 200.43 203.43 0.45 192.96 198.64 202.55 197.34 195.08 200.62 203.53 0.50 193.10 199.00 202.34 197.08 195.38 200.80 203.63 0.55 193.24 199.36 202.14 196.82 195.68 200.97 203.74 0.60 193.41 199.73 201.93 196.56 195.98 201.14 203.85 0.65 193.57 200.09 201.72 196.31 196.29 201.31 203.95 0.70 193.74 200.45 201.51 196.05 196.59 201.48 204.06 0.75 193.90 200.81 201.31 195.79 196.89 201.65 204.17 0.80 194.07 201.17 201.10 195.54 197.19 201.82 204.28 0.85 194.23 201.53 200.89 195.28 197.49 202.00 204.22 0.90 194.40 201.88 200.68 195.03 197.80 202.17 204.11 0.95 194.56 202.24 200.48 194.77 198.24 202.37 203.94 1.00 194.86 202.73 200.16 194.38 198.84 202.55 203.60 X/L Span 8 Span 9 0.00 203.60 198.57 0.05 203.27 198.15 0.10 203.05 197.85 0.15 202.82 197.56 0.20 202.60 197.26 0.25 202.38 196.96 0.30 202.15 196.66 0.35 201.93 196.36 0.40 201.71 196.06 0.45 201.48 195.75 0.50 201.26 195.47 0.55 201.03 195.19 0.60 200.81 194.92 0.65 200.58 194.64 0.70 200.36 194.37 0.75 200.13 194.09 0.80 199.91 193.82 0.85 199.68 193.54 0.90 199.45 193.26 0.95 199.12 192.94 1.00 198.57 192.61 TENDON HEIGHT AT 1/20TH POINTS ALONG EACH SPAN ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Units are in inch X/L ---------------------------------------------------------------------------- Span 1 Span 2 Span 3 Span 4 Span 5 Span 6 Span 7 0.00 5.00 8.75 8.75 8.75 8.75 8.75 7.00 0.05 5.10 7.97 8.38 8.12 8.03 8.47 7.08 0.10 5.29 6.51 7.67 6.94 6.66 7.96 7.22 0.15 5.46 5.22 7.04 5.90 5.45 7.50 7.34 0.20 5.60 4.10 6.50 5.00 4.40 7.10 7.45 0.25 5.72 3.15 6.04 4.24 3.51 6.76 7.54 0.30 5.82 2.38 5.67 3.61 2.79 6.49 7.62 0.35 5.90 1.77 5.38 3.12 2.23 6.28 7.67 0.40 5.96 1.34 5.17 2.78 1.82 6.12 7.72 0.45 5.99 1.09 5.04 2.57 1.58 6.03 7.74 0.50 6.00 1.00 5.00 2.50 1.50 6.00 7.75 0.55 6.03 1.09 5.04 2.57 1.58 6.01 7.76 0.60 6.12 1.34 5.17 2.78 1.82 6.04 7.79 0.65 6.28 1.77 5.38 3.12 2.23 6.10 7.85 0.70 6.49 2.38 5.67 3.61 2.79 6.18 7.93 0.75 6.76 3.15 6.04 4.24 3.51 6.28 8.03 0.80 7.10 4.10 6.50 5.00 4.40 6.40 8.15 0.85 7.50 5.22 7.04 5.90 5.45 6.54 8.29 0.90 7.96 6.51 7.67 6.94 6.66 6.71 8.46 0.95 8.47 7.97 8.38 8.12 8.03 6.90 8.65 1.00 8.75 8.75 8.75 8.75 8.75 7.00 8.75 X/L Span 8 Span 9 0.00 8.75 8.75 0.05 8.38 8.18 0.10 7.67 7.09 0.15 7.04 6.13 0.20 6.50 5.30 0.25 6.04 4.60 0.30 5.67 4.02 0.35 5.38 3.58 0.40 5.17 3.26 0.45 5.04 3.06 0.50 5.00 3.00 0.55 5.04 3.02 0.60 5.17 3.09 0.65 5.38 3.20 0.70 5.67 3.36 0.75 6.04 3.56 0.80 6.50 3.80 0.85 7.04 4.09 0.90 7.67 4.42 0.95 8.38 4.80 1.00 8.75 5.00 RISA Tech, Inc. 26632 Towne Centre Drive, Suite 210, Foothill Ranch, CA 9261 Tel: (949) 951 5815, Fax: (949) 951 5848 E-mail: support@risa.com, Web site: www.risa.com ADAPT -FELT Standard 17 ADAPT POST -TENSIONING STRESS LOSS & ELONGATION PROGRAM This program calculates the long-term and immediate stress losses in a post - tensioned tendon. It outputs the elongations at the stressing ends and the final stress profile along the tendon. DATE: Jul 21, 2022 TIME: 11:13:33 P R O J E C T T I T L E: ANTHOLOGY OF EDMUNDS UNIFORMS LEVEL 2 S P E C I F I C T I T L E GRID K 1 TO 7 L O N G- T E R M L O S S C A L C U L A T I O N S: INPUT PARAMETERS : Post -tensioning system ................................. UNBONDED Type of strand ......................................... LOW LAX Ultimate strength of strand ............................ 270.00 ksi Modulus of elasticity of strand ........................ 28500.00 ksi Estimate of initial average compression ................ 239.00 psi Concrete strength at 28 days ........................... 5000.00 psi Average weight of concrete ............................. NORMAL Estimated age of concrete at stressing ................. 3 days Modulus of elasticity of concrete at stressing ......... 3122.00 ksi Modulus of elasticity of concrete at 28 days ........... 4033.00 ksi Estimate of average relative humidity .................. 72. o Volume to surface ratio of member ...................... 7.00 in CALCULATED VALUES : Elastic shortening ..................................... 1.091 ksi Shrinkage .............................................. 3.226 ksi Creep.................................................. 2.702 ksi Relaxation ............................................. 4.247 ksi Total long-term stress losses .......................... 11.266 ksi F R I C T I O N & E L O N G A T I O N C A L C U L A T I O N S: INPUT PARAMETERS : Coefficient of angular friction (meu)................ 0.02500 /radian Coefficient of wobble friction (K)................... 0.00091 rad/ft Ultimate strength of strand ......... .............. 270.00 ksi Ratio of jacking stress to strand's ultimate strength 0.80 Anchor set .......................................... 0.25 inch Cross -sectional area of strand ...................... 0.153 inch^2 Total Number of Strands per Tendon ................... 1 STRESSING ........................................... AT RIGHT END LEGEND : P ....... = Tendon profile type defined as: 1=reversed parabola; 2=partial/regular parabola; 3=harped; 4=general; 5=straight; 6=extended reversed parabola; 7=cantilever down X1/L etc = horizontal distances to control points in geometry of the tendon divided by span length Stresses tabulated are after anchor set but before long-term losses. TENDON ID, GEOMETRY AND STRESS PROFILE (UNIFORM LEVEL 2 GRID K FROM 1) LENGTH < TENDON HEIGHT in.> Horizontal ratios SPAN ft P start center right X1/L X2/L X3/L -1---- 2----- 3---- 4------ 5------ 6------- 7---- 8---- 9---- CAN 12.50 1 7.00 11.75 0.00 1 33.50 1 11.75 1.25 12.75 0.05 0.50 0.05 2 18.50 1 12.75 11.00 12.75 0.05 0.50 0.05 3 23.25 1 12.75 3.50 12.75 0.05 0.50 0.05 CAN 6.25 1 12.75 7.00 0.00 94.17 ft (total length of tendon) SUMMARY : Average initial stress (after release) ................... Long term stress losses ................................. Final average stress .................................... Final average force in tendon ........................... Anchor set influence from right pull (202.08ksi;0.748) .. Elongation at right pull before anchor set .............. Elongation at right pull after anchor set ............... Total elongation after anchor set ....................... Ratio of total elongation to tendon length after anchor set .................... Jacking force ........................................... <- STRESS (ksi) --> start center right -10------ 11------ 12- 191.24 194.27 194.27 198.00 201.99 201.99 200.05 197.69 197.69 194.50 190.19 190.19 188.17 CRITICAL STRESS RATIOS : At stressing 0.800; At anchorage 0.708; Max along tendon 0.748 196.22 ksi 11.27 ksi 184.95 ksi 28.30 k 48.32 ft 8.030 inch 7.780 inch 7.780 inch 0.083 inch/ft 33.05 k DETAIL OF STRESSES AT 1/20TH POINTS ALONG EACH SPAN ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Units are in ksi X/L Cant Span 1 Span 2 Span 3 Cant -------------------------------------------------------- 0.00 191.24 194.27 201.99 197.69 190.19 0.05 191.36 194.79 201.75 197.17 190.09 0.10 191.49 195.15 201.56 196.87 189.99 0.15 191.61 195.50 201.38 196.58 189.88 0.20 191.74 195.85 201.19 196.28 189.78 0.25 191.86 196.21 201.00 195.99 189.68 0.30 191.99 196.57 200.81 195.69 189.58 0.35 192.11 196.92 200.62 195.39 189.48 0.40 192.23 197.28 200.43 195.09 189.38 0.45 192.36 197.64 200.24 194.80 189.27 0.50 192.48 198.00 200.05 194.50 189.17 0.55 192.61 198.37 199.86 194.20 189.07 0.60 192.73 198.73 199.67 193.90 188.97 0.65 192.86 199.10 199.48 193.60 188.87 0.70 192.98 199.46 199.29 193.30 188.76 0.75 193.11 199.83 199.10 193.00 188.66 0.80 193.23 200.20 198.91 192.70 188.56 0.85 193.36 200.57 198.72 192.39 188.46 0.90 193.48 200.94 198.53 192.09 188.35 0.95 193.61 201.50 198.28 191.56 188.25 1.00 194.27 201.99 197.69 190.19 188.17 TENDON HEIGHT AT 1/20TH POINTS ALONG EACH SPAN ---------------------------------------------- ---------------------------------------------- Units are in inch X/L Cant Span 1 Span 2 Span 3 Cant ------------------------------------------------------------------------------ 0.00 7.00 11.75 12.75 12.75 12.75 0.05 7.01 10.70 12.57 11.82 12.19 0.10 7.05 8.72 12.24 10.08 11.66 0.15 7.11 6.97 11.95 8.54 11.15 0.20 7.19 5.45 11.70 7.20 10.68 0.25 7.30 4.17 11.49 6.07 10.23 0.30 7.43 3.12 11.31 5.14 9.82 0.35 7.58 2.30 11.18 4.42 9.43 0.40 7.76 1.72 11.08 3.91 9.07 0.45 7.96 1.37 11.02 3.60 8.74 0.50 8.19 1.25 11.00 3.50 8.44 0.55 8.44 1.38 11.02 3.60 8.16 0.60 8.71 1.76 11.08 3.91 7.92 0.65 9.01 2.40 11.18 4.42 7.70 0.70 9.33 3.29 11.31 5.14 7.52 0.75 9.67 4.44 11.49 6.07 7.36 0.80 10.04 5.85 11.70 7.20 7.23 0.85 10.43 7.51 11.95 8.54 7.13 0.90 10.85 9.43 12.24 10.08 7.06 0.95 11.29 11.60 12.57 11.82 7.01 1.00 11.75 12.75 12.75 12.75 7.00 RISA Tech, Inc. 26632 Towne Centre Drive, Suite 210, Foothill Ranch, CA 9261 Tel: (949) 951 5815, Fax: (949) 951 5848 E-mail: support@risa.com, Web site: www.risa.com ADAPT -FELT Standard 17 ADAPT POST -TENSIONING STRESS LOSS & ELONGATION PROGRAM This program calculates the long-term and immediate stress losses in a post - tensioned tendon. It outputs the elongations at the stressing ends and the final stress profile along the tendon. DATE: Sep 9, 2022 TIME: 06:53:25 P R O J E C T T I T L E: ANTHOLOGY OF EDMUNDS UNIFORMS LEVEL 2 S P E C I F I C T I T L E TYP ADDS FRM 5 TO 1 L O N G- T E R M L O S S C A L C U L A T I O N S: INPUT PARAMETERS : Post -tensioning system ................................. UNBONDED Type of strand ......................................... LOW LAX Ultimate strength of strand ............................ 270.00 ksi Modulus of elasticity of strand ........................ 28500.00 ksi Estimate of initial average compression ................ 239.00 psi Concrete strength at 28 days ........................... 5000.00 psi Average weight of concrete ............................. NORMAL Estimated age of concrete at stressing ................. 3 days Modulus of elasticity of concrete at stressing ......... 3122.00 ksi Modulus of elasticity of concrete at 28 days ........... 4033.00 ksi Estimate of average relative humidity .................. 72. o Volume to surface ratio of member ...................... 7.00 in CALCULATED VALUES : Elastic shortening ..................................... 1.091 ksi Shrinkage .............................................. 3.226 ksi Creep.................................................. 2.702 ksi Relaxation ............................................. 4.483 ksi Total long-term stress losses .......................... 11.502 ksi F R I C T I O N & E L O N G A T I O N C A L C U L A T I O N S: INPUT PARAMETERS : Coefficient of angular friction (meu)................ 0.02500 /radian Coefficient of wobble friction (K)................... 0.00091 rad/ft Ultimate strength of strand ......... .............. 270.00 ksi Ratio of jacking stress to strand's ultimate strength 0.80 Anchor set .......................................... 0.25 inch Cross -sectional area of strand ...................... 0.153 inch^2 Total Number of Strands per Tendon ................... 1 STRESSING ........................................... AT RIGHT END LEGEND : P ....... = Tendon profile type defined as: 1=reversed parabola; 2=partial/regular parabola; 3=harped; 4=general; 5=straight; 6=extended reversed parabola; 7=cantilever down X1/L etc = horizontal distances to control points in geometry of the tendon divided by span length Stresses tabulated are after anchor set but before long-term losses. TENDON ID, GEOMETRY AND STRESS PROFILE (UNIFORM LEVEL 2 TYP ADDS FRM G) LENGTH < TENDON HEIGHT in.> Horizontal ratios SPAN ft P start center right X1/L X2/L X3/L -1---- 2----- 3---- 4------ 5------ 6------- 7---- 8---- 9---- CAN 5.70 1 7.00 12.75 0.00 1 33.50 1 12.75 1.25 11.75 0.05 0.50 0.05 CAN 12.50 1 11.75 7.00 0.00 51.80 ft (total length of tendon) SUMMARY : Average initial stress (after release) ................... Long term stress losses ................................. Final average stress .................................... Final average force in tendon ........................... Anchor set influence from right pull (203.87ksi;0.755) .. Elongation at right pull before anchor set .............. Elongation at right pull after anchor set ............... Total elongation after anchor set ....................... Ratio of total elongation to tendon length after anchor set .................... Jacking force ........................................... <- STRESS (ksi) --> start center right -10------ 11------ 12- 201.71 203.05 203.05 199.05 194.50 194.50 191.73 CRITICAL STRESS RATIOS : At stressing 0.800; At anchorage 0.747; Max along tendon 0.755 198.00 ksi 11.50 ksi 186.50 ksi 28.53 k 46.27 ft 4.569 inch 4.319 inch 4.319 inch 0.083 inch/ft 33.05 k DETAIL OF STRESSES AT 1/20TH POINTS ALONG EACH SPAN ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Units are in ksi X/L Cant Span 1 Cant ------------------------------------ 0.00 201.71 203.05 194.50 0.05 201.80 202.48 194.36 0.10 201.90 202.10 194.23 0.15 201.99 201.72 194.09 0.20 202.09 201.34 193.95 0.25 202.18 200.96 193.81 0.30 202.28 200.58 193.67 0.35 202.37 200.20 193.53 0.40 202.47 199.81 193.39 0.45 202.56 199.43 193.26 0.50 202.66 199.05 193.12 0.55 202.75 198.67 192.98 0.60 202.85 198.29 192.84 0.65 202.94 197.91 192.70 0.70 203.04 197.53 192.56 0.75 203.13 197.15 192.42 0.80 203.22 196.77 192.28 0.85 203.32 196.38 192.14 0.90 203.41 196.00 192.00 0.95 203.51 195.43 191.86 1.00 203.05 194.50 191.73 TENDON HEIGHT AT 1/20TH POINTS ALONG EACH SPAN ---------------------------------------------- ---------------------------------------------- Units are in inch X/L Cant Span 1 Cant ------------------------------------------------------------------------------ 0.00 7.00 12.75 11.75 0.05 7.01 11.60 11.29 0.10 7.06 9.43 10.85 0.15 7.13 7.51 10.43 0.20 7.23 5.85 10.04 0.25 7.36 4.44 9.67 0.30 7.52 3.29 9.33 0.35 7.70 2.40 9.01 0.40 7.92 1.76 8.71 0.45 8.16 1.38 8.44 0.50 8.44 1.25 8.19 0.55 8.74 1.37 7.96 0.60 9.07 1.72 7.76 0.65 9.43 2.30 7.58 0.70 9.82 3.12 7.43 0.75 10.23 4.17 7.30 0.80 10.68 5.45 7.19 0.85 11.15 6.97 7.11 0.90 11.66 8.72 7.05 0.95 12.19 10.70 7.01 1.00 12.75 11.75 7.00