Prestressed-Precast Design Spreadsheet

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Doha International Airport DAR AL-HANDASAH CONSULTANTS Q0073/2 Shair and Partners DESIGN OF PRECAST PRESTRESSED COMPOSITE BEAMS CHECK OF CRITICAL SECTION (All Units are MN and m) INPUT A-PROPERTIES OF MID SPAN SECTION B- LOADING PRECAST SECTION M OWBeam 0.429 DEPTH= 0.525 M OWDeck 0.183 AREA= 0.361 M SDL 0.000 Y1= -0.232 M LL 0.488 Y2= 0.293 Final Losses 0.150 INERTIA= 0.01296 Z1= -0.056 Z2= 0.044 COMPOSITE SECTION C- ALLOWABLE STRESSES AREA= 0.492 Y1(m)= -0.160 Ftt -3.5 Y2(m)= 0.365 Fct 19.2 Y3(m)= -0.160 Ftw -3.15 Y4(m)= -0.235 Fcw 21 INERTIA= 0.020 Z1= -0.125 Z2= 0.055 Z3= -0.125 Z4= -0.085 OUTPUT A- ECCENTRCITIES FOR A PRESTRESSING FORCE (Pt is prestressing force after initial losses) Pt e1 e2 e3 e4 emin emax 3.6 0.3282 0.2325 0.0426 0.1607 0.1607 0.2325 inside feasible range B- LIMITING PRESTRESSING FORCES Ptmin = 1.425 Ptmax = 6.066 1.424652 C- NORMAL STRESSES Pt= 3.6 input e= 0.203 St1 St2 St3 f1 4.57 8.31 12.22 f2 16.80 8.68 -0.22 f3 3.90 f4 5.73 Y1 Y2 Y1,Y3 Y2 Y4

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Transcript of Prestressed-Precast Design Spreadsheet

Check of Stresses for Precast Pretentioned Beam

Beam 01Doha International AirportDAR AL-HANDASAH CONSULTANTSQ0073/2Shair and PartnersDESIGN OF PRECAST PRESTRESSED COMPOSITE BEAMSCHECK OF CRITICAL SECTION(All Units are MN and m)INPUTA-PROPERTIES OF MID SPAN SECTIONB- LOADINGPRECAST SECTIONM OWBeam0.429DEPTH=0.525M OWDeck0.183AREA=0.361M SDL0.000Y1=-0.232M LL0.488Y2=0.293Final Losses0.150INERTIA=0.01296Z1=-0.056Z2=0.044COMPOSITE SECTIONC- ALLOWABLE STRESSESAREA=0.492Y1(m)=-0.160Ftt-3.5Y2(m)=0.365Fct19.2Y3(m)=-0.160Ftw-3.15Y4(m)=-0.235Fcw21INERTIA=0.020Z1=-0.125Z2=0.055Z3=-0.125Z4=-0.085OUTPUTA- ECCENTRCITIES FOR A PRESTRESSING FORCE(Pt is prestressing force after initial losses)Pte1e2e3e4eminemax3.60.32820.23250.04260.16070.16070.2325inside feasible rangeB- LIMITING PRESTRESSING FORCESPtmin =1.425Ptmax =6.0661.4246520329C- NORMAL STRESSESPt=3.6input e=0.203St1St2St3f14.578.3112.22f216.808.68-0.22f33.90f45.73D- PRESTRESSING FORCE vs ECCENTRCITYPt1/Pte1e2e1.42465203290.70192578740.59310732970.77471428750.59310732971.88874788630.52945128740.48539403080.55424772770.48539403082.35284373960.42501760030.42017339260.42075474330.42017339262.8169395930.35499518790.37644318870.33124817650.33124817653.28103544640.30478183380.34508408340.26706265670.26706265673.74513129970.26701333540.3214970050.21878484810.21878484814.20922715310.23757330350.30311119740.18115295150.18115295154.67332300640.21398050140.28837708570.15099531120.15099531125.13741885980.19465027620.27630502680.12628633540.12628633545.60151471320.17852314080.26623335270.10567172830.10567172836.06561056650.16486386470.25770289930.08821167710.08821167715.60151471320.17852314080.08269946930.05948302140.08269946935.13741885980.19465027620.07619135560.07592510760.07619135564.67332300640.21398050140.06839063350.09563283760.09563283764.20922715310.23757330350.05886974620.11968638950.11968638953.74513129970.26701333540.04698920640.14970136320.14970136323.28103544640.30478183380.03174770970.18820745210.18820745212.8169395930.35499518790.01148408520.23940143530.23940143532.35284373960.4250176003-0.01677349480.3107913330.3107913331.88874788630.5294512874-0.05891776220.41726453190.41726453191.42465203290.7019257874-0.12851993410.59310732970.5931073297II CHECKING CABLE PROFILEPt3.6Span19.5Straining ActionsSec.12345678910Dist.0.001.002.003.004.005.006.007.008.009.75Eccentricity RangeMow00.0830.1580.2230.2800.3270.3660.3950.4150.429e10.2090.2320.2530.2710.2870.3000.3110.3190.3240.328Mslab00.0360.0670.0950.1190.1400.1560.1680.1770.183e20.1130.1370.1570.1750.1910.2040.2150.2230.2290.233Msdl00.0000.0000.0000.0000.0000.0000.0000.0000.000e3-0.229-0.176-0.129-0.087-0.052-0.0220.0030.0210.0340.043Mll00.0950.1800.2540.3180.3720.4160.4490.4720.488e4-0.168-0.104-0.0470.0030.0460.0830.1120.1350.1500.161Cable ProfileSec.12345678910Dist.0.001.002.003.004.005.006.007.008.009.75#Strands10121416182020202020Force1.8002.1602.5202.8803.2403.6003.6003.6003.6003.600emin-0.168-0.104-0.0470.0030.0460.0830.1120.1350.1500.161input e0.2330.2300.2250.2200.2100.2030.2030.2030.2030.203emax0.1130.1370.1570.1750.1910.2040.2150.2230.2290.233Check of Stresses at Transferf1-2.52-1.42-0.340.631.802.753.433.964.324.57f214.4715.3316.2317.2518.0319.1018.2317.5717.1116.80Check of Stresses after casting of toping slabf1-2.14-0.341.342.844.425.716.697.447.968.31f212.3011.9411.7411.7511.6811.9710.739.789.138.68Check of Stresses at Final Stagef1-2.140.422.784.886.978.6910.0211.0311.7412.22f212.3010.218.467.115.875.183.141.590.51-0.22f30.000.761.442.032.552.983.333.593.783.90f40.001.122.112.993.744.374.895.285.555.73Mid Span000000.2350.002.112.993.745.730.2350.001.442.032.553.900.16-2.142.784.886.9712.220.1612.308.467.115.87-0.22-0.36500000-0.365Sec. At Dist.0Sec. At Dist.2Sec. At Dist.4Mid SpanIII CHECKING ULTIMATE CAPACITYb2.05t0.15f'c40f's1860b10.759724238g*0.28Astrand140f1Sec.12345678910Dist.0.001.002.003.004.005.006.007.008.009.75Mult0.0000.3610.6830.9661.2101.2101.4151.5811.7071.855d0.5980.5950.5900.5850.5750.5750.5680.5680.5680.568As*0.00140.001680.001960.002240.002520.002520.00280.00280.00280.0028r*0.00114201810.00137733140.00162050430.00186783410.00213785790.00213785790.00240467190.00240467190.00240467190.0024046719fsu*1823.59668473311816.09576632681808.34431264161800.46035547461791.85299382041791.85299382041783.34794883941783.34794883941783.34794883941783.3479488394Ductility0.05206451090.0625341440.07326074520.08407402950.0957681770.0957681770.1072091690.1072091690.1072091690.107209169Eq stress Block0.03662891480.04377390080.05085157610.05786271440.0647843550.0647843550.07164095060.07164095060.07164095060.0716409506fMn1.4791.7471.9992.2402.4472.4472.6542.6542.6542.6549.17 Flexural Strength9.17.2 Rectangular Sectionsa) having Prestressing Steel only9.17.4 Steel Stress9.18 Ductility Limits9.18.1 Maximum Prestressing Steel

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As*= area of prestressing steel (Art. 9.17).b = width of flange of flanged member or width of rectangular member.d = distance from extreme compressive fiber to centroid of the prestressing force, or to centroid of negative moment reinforcing for precast girder bridges made continuous.f'c = compressive strength of concrete at 28days.f*su= average stress in prestressing steel at ultimate load.f's = ultimate stress of prestressing steel.t = average thickness of the flange of a flanged member (Art. 9.17 and 9.17).f = strength capacity reduction factor (Art. 9.14) for factory produced precast prestressed concrete members f = 1.0. for post tensioned cast in place concrete members f = 0.95. for shear f = 0.90. for anchorage zones f = 0.85 for normal weight concrete.g* = factor for type of prestressing steel (Art. 9.17) = 0.28 for low relaxation. = 0.40 for stress relieved steel. = 0.55 for bars.r* = A*s/bd ratio of prestressing steel.b1 = factor for concrete strength.

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