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  • DIRECT ANALYSIS METHOD

    Loading Diagram Bending Moment Diagram (Direct Analysis)

    Parameter input verification,

    PrPy

    Py= fyAg= 50ksix19.1in2= 955 kips

    Pr= 144.853 kipsPrPy

    MEMBER STRESS (Direct Analysis Staad Output) Unit kips/sq feet

    MEMB LD SECT AXIAL BEND-YBEND-

    Z COMBINEDSHEAR

    -YSHEAR

    -Z

    1 20 0 1079 C 0 0 1079.2 64.2 01 1079 C 0 696.4 1775.6 64.2 0

    6 20 0 1092 C 0 0 1092.1 83.2 01 1092 C 0 1063.5 2155.6 83.2 0

    20 20 0 123.7 T 0 3691.4 3815.1 1019.8 01 123.7 T 0 4179.6 4303.3 1056.9 0

    21 20 0 541.3 C 0 2173.5 2714.8 403.1 01 541.3 C 0 2617 3158.2 403.1 0

    26 20 0 544.4 C 0 2185.9 2730.3 412.6 01 544.4 C 0 2740.2 3284.6 412.6 0

    34 20 0 150.9 C 0 3366.1 3517 1032.3 01 150.9 C 0 3524.6 3675.5 1044.4 0

    0.15168

    < 0.5

    < 0.5,Thestiffnessassumptionusedintheanalysis,b=1.0isokay6-29.454 kip-ft

    Max: -54.133 kip-ft

    26-14.705 kip-ft

    Max: -139.473 kip-ft

    20-114.266 kip-ft

    Max: 165.394 kip-ft

    119.268 kip-ft

    Max: 35.446 kip-ft

    34-134.878 kip-ft

    Max: 139.473 kip-ft

    2111.763 kip-ft

    Max: 133.202 kip-ft

    Bending ZLoad 20 : Moment - kip-ft

    626

    20

    -2.400 kips/ft

    1

    34

    -2.400 kips/ft21

    -36.000 kip

    0.144 kip

    -36.000 kip

    0.144 kip

    -36.000 kip

    0.144 kip

    -36.000 kip

    0.144 kip

    Load 20

  • EFFECTIVE LENGTH METHOD

    Loading Diagram Bending Moment Diagram (Second-order Analysis)

    Check for Effective length Method limitationsFirst-order Analysis Second-order AnalysisSTORY HEIGHT STORY HEIGHT

    (FEET) X Z (FEET) X Z1 0 1 0 0 1 0 1 0 0 -

    2 0 0 2 0 0 -10 0 0 10 0 0 -

    2 20 1 0 0 2 20 1 0 0 -2 0.147 0 2 0.1469 0 1.00 < 1.5 OK10 0.147 0 10 0.2123 0 1.45 < 1.5 OK

    3 40 1 0 0 3 40 1 0 0 -2 0.2 0 2 0.2004 0 1.00 < 1.5 OK10 0.2 0 10 0.2821 0 1.41 < 1.5 OK

    MEMBER STRESS (Second-Order Analysis) Unit kips/sq feet

    MEMB LD SECT AXIAL BEND-YBEND-

    Z COMBINEDSHEAR

    -YSHEAR

    -Z

    1 20 0 1080 C 0 0 1079.8 64.7 01 1080 C 0 722.3 1802.1 64.7 0

    6 20 0 1092 C 0 0 1091.5 83.7 01 1092 C 0 1048.7 2140.2 83.7 0

    20 20 0 123.4 T 0 3718.4 3841.8 1021.6 01 123.4 T 0 4158 4281.4 1055.1 0

    21 20 0 541.4 C 0 2168.6 2710 402.8 01 541.4 C 0 2621.1 3162.4 402.8 0

    26 20 0 544.3 C 0 2184 2728.3 412.3 01 544.3 C 0 2735.3 3279.6 412.3 0

    34 20 0 150.8 C 0 3371.3 3522.2 1032.8 01 150.8 C 0 3518.3 3669.1 1043.9 0

    Effective length factor K use for column strength design, see back page

    DRIFT DRIFT, INCH /o < 1.5LOADCOMBLOADCOMB

    626

    20

    -2.400 kips/ft

    1

    34

    -2.400 kips/ft

    21

    -36.000 kip

    0.144 kip

    -36.000 kip

    0.144 kip

    -36.000 kip

    0.144 kip

    -36.000 kip

    0.144 kip

    Load 20

    -28.545 kip-ft

    Max: -53.378 kip-ft

    -14.505 kip-ft

    Max: -139.226 kip-ft

    -114.158 kip-ftMax: 164.540 kip-ft

    19.645 kip-ft

    Max: 36.762 kip-ft

    -134.652 kip-ftMax: 139.226 kip-ft

    11.900 kip-ft

    Max: 133.410 kip-ft

    Bending ZLoad 20 : Moment - kip-ft

  • FIRST-ORDER ANALYSIS METHOD

    Loading Diagram Bending Moment Diagram (First-order Analysis)

    Check for First-order Analysis Method limitationsCheck, Pr 0.5Py

    0.5 Py = 0.5Fy Ag = 477.5 kipsPr = 145.2 kips < 0.5Py Ok

    First-order Analysis Second-order AnalysisSTORY HEIGHT LOADCOMB DRIFT STORY HEIGHT

    LOADCOMB /o < 1.5

    (FEET) X Z (FEET) X Z1 0 1 0 0 1 0 1 0 0 -

    2 0 0 2 0 0 -10 0 0 10 0 0 -

    2 20 1 0 0 2 20 1 0 0 -2 0.308 0 2 0.3084 0 1.00 < 1.5 OK10 0.308 0 10 0.4458 0 1.45 < 1.5 OK

    3 40 1 0 0 3 40 1 0 0 -2 0.421 0 2 0.4209 0 1.00 < 1.5 OK10 0.421 0 10 0.5924 0 1.41 < 1.5 OK

    MEMBER STRESS (First-Order Analysis) Unit kips/sq feet

    MEMB LD SECT AXIAL BEND-YBEND-

    Z COMBINEDSHEAR

    -YSHEAR

    -Z

    1 20 0 1077 C 0 0 1076.5 56.2 01 1077 C 0 669.4 1745.9 56.2 0

    6 20 0 1095 C 0 0 1094.8 96.1 01 1095 C 0 1144.7 2239.5 96.1 0

    20 20 0 122.1 T 0 3613.8 3736 1012.9 01 122.1 T 0 4283.7 4405.9 1063.8 0

    21 20 0 540.4 C 0 2140.2 2680.5 396.2 01 540.4 C 0 2580.7 3121 396.2 0

    26 20 0 545.3 C 0 2185.7 2731 416.1 01 545.3 C 0 2772.8 3318 416.1 0

    34 20 0 150.3 C 0 3319.4 3469.7 1028.9 01 150.3 C 0 3566.5 3716.8 1047.7 0

    DRIFT, INCH

    626

    20

    -2.400 kips/ft

    134

    -2.400 kips/ft

    21

    -36.000 kip

    0.144 kip

    -36.000 kip

    0.144 kip

    -36.000 kip

    0.144 kip

    -36.000 kip

    0.144 kip

    Load 20

    -33.192 kip-ft

    Max: -58.264 kip-ft

    -15.760 kip-ft

    Max: -141.131 kip-ft

    -113.740 kip-ft

    Max: 169.515 kip-ft

    16.277 kip-ft

    Max: 34.072 kip-ft

    -134.726 kip-ft

    Max: 141.131 kip-ft

    11.203 kip-ft

    Max: 131.353 kip-ft

    Bending ZLoad 20 : Moment - kip-ft

  • DIRECT ANALYSIS METHODWith Lateral seismic load (15% gravity load)

    Loading Diagram Bending Moment Diagram (Direct Analysis)

    Parameter input verification,

    PrPy

    Py= fyAg= 50ksix19.1in2= 955 kips

    Pr= 207.969 kipsPrPy

    MEMBER STRESS (Direct Analysis Staad Output) Unit kips/sq feet

    MEMB LD SECT AXIAL BEND-YBEND-

    Z COMBINEDSHEAR

    -YSHEAR

    -Z

    1 20 0 603.4 C 0 0 603.4 850.3 01 603.4 C 0 13065 13668 850.3 0

    6 20 0 1568 C 0 0 1567.9 574.2 01 1568 C 0 14469 16036.4 574.2 0

    20 20 0 200.5 T 0 14446 14646.8 354.7 01 200.5 T 0 22171 22371.2 2431.4 0

    21 20 0 424.7 C 0 1833.2 2257.9 47.5 01 424.7 C 0 1927.5 2352.1 47.5 0

    26 20 0 661 C 0 2768.1 3429.1 759.8 01 661 C 0 7308 7969 759.8 0

    34 20 0 149.4 C 0 2479.2 2628.6 586.3 01 149.4 C 0 9400 9549.4 1490.4 0

    0.21777

    < 0.5

    < 0.5,Thestiffnessassumptionusedintheanalysis,b=1.0isokay

    -416.411 kip-ft

    Max: -736.435 kip-ft

    -121.536 kip-ft

    Max: -371.974 kip-ft

    -117.214 kip-ft

    Max: 877.331 kip-ft

    -348.191 kip-ft

    Max: -664.977 kip-ft

    -134.261 kip-ft

    Max: 371.974 kip-ft

    -98.852 kip-ft

    Max: -99.308 kip-ft

    Bending ZLoad 20 : Moment - kip-ft

    626

    20

    -2.400 kips/ft

    1

    34

    -2.400 kips/ft21

    -36.000 kip

    10.800 kip

    -36.000 kip

    10.800 kip

    -36.000 kip

    10.800 kip

    -36.000 kip

    10.800 kip

    Load 20

  • EFFECTIVE LENGTH METHODWith Lateral seismic load (15% gravity load)

    Loading Diagram Bending Moment Diagram (Second-order Analysis)

    Check for Effective length Method limitationsFirst-order Analysis Second-order AnalysisSTORY HEIGHT STORY HEIGHT

    (FEET) X Z (FEET) X Z1 0 1 0 0 1 0 1 0 0 -

    2 0 0 2 0 0 -10 0 0 10 0 0 -

    2 20 1 0 0 2 20 1 0 0 -2 11.01 0 2 11.013 0 1.00 < 1.5 OK10 11.01 0 10 15.919 0 1.45 < 1.5 OK

    3 40 1 0 0 3 40 1 0 0 -2 15.03 0 2 15.031 0 1.00 < 1.5 OK10 15.03 0 10 21.153 0 1.41 < 1.5 OK

    MEMBER STRESS (Second-Order Analysis) Unit kips/sq feet

    MEMB LD SECT AXIAL BEND-YBEND-

    Z COMBINEDSHEAR

    -YSHEAR

    -Z

    1 20 0 648.1 C 0 0 648.1 774.5 01 648.1 C 0 11469 12116.9 774.5 0

    6 20 0 1523 C 0 0 1523.2 650 01 1523 C 0 13014 14536.8 650 0

    20 20 0 172.6 T 0 12594 12766.7 216.1 01 172.6 T 0 20379 20551.1 2292.7 0

    21 20 0 433.2 C 0 1677.4 2110.7 48 01 433.2 C 0 1598.7 2031.9 48 0

    26 20 0 652.4 C 0 2829.6 3482.1 760.3 01 652.4 C 0 6969.6 7622.1 760.3 0

    34 20 0 149.6 C 0 2056.4 2205.9 619 01 149.6 C 0 8964.7 9114.3 1457.7 0

    Effective length factor K (alignment chart)use for column strength design,

    LOADCOMB

    DRIFT LOADCOMB

    DRIFT, INCH /o < 1.5

    -364.084 kip-ft

    Max: -662.385 kip-ft

    -109.642 kip-ft

    Max: -354.748 kip-ft

    -116.008 kip-ft

    Max: 806.411 kip-ft

    -303.653 kip-ft

    Max: -583.749 kip-ft

    -134.271 kip-ft

    Max: 354.748 kip-ft

    -85.602 kip-ft

    Max: -86.052 kip-ft

    Bending ZLoad 20 : Moment - kip-ft

    626

    20

    -2.400 kips/ft

    1

    34

    -2.400 kips/ft

    21

    -36.000 kip

    10.800 kip

    -36.000 kip

    10.800 kip

    -36.000 kip

    10.800 kip

    -36.000 kip

    10.800 kip

    Load 20

  • FIRST-ORDER ANALYSIS METHODWith Lateral seismic load (15% gravity load)

    Loading Diagram Bending Moment Diagram (First-order Analysis)

    Check for First-order Analysis Method limitationsCheck, Pr 0.5Py

    0.5 Py = 0.5Fy Ag = 477.5 kipsPr = 187.2 kips < 0.5Py Ok

    First-order Analysis Second-order AnalysisSTORY HEIGHT LOADCOMB DRIFT STORY HEIGHT

    LOADCOMB /o < 1.5

    (FEET) X Z (FEET) X Z1 0 1 0 0 1 0 1 0 0 -

    2 0 0 2 0 0 -10 0 0 10 0 0 -

    2 20 1 0 0 2 20 1 0 0 -2 11.01 0 2 11.013 0 1.00 < 1.5 OK10 11.01 0 10 15.919 0 1.45 < 1.5 OK

    3 40 1 0 0 3 40 1 0 0 -2 15.03 0 2 15.031 0 1.00 < 1.5 OK10 15.03 0 10 21.153 0 1.41 < 1.5 OK

    MEMBER STRESS (First-Order Analysis) Unit kips/sq feet

    MEMB LD SECT AXIAL BEND-YBEND-

    Z COMBINEDSHEAR

    -YSHEAR

    -Z

    1 20 0 760 C 0 0 760 636.2 01 760 C 0 7580.3 8340.3 636.2 0

    6 20 0 1411 C 0 0 1411.4 788.4 01 1411 C 0 9394.4 10805.8 788.4 0

    20 20 0 122.1 T 0 8014.2 8136.3 128.1 01 122.1 T 0 15912 16033.9 1948.6 0

    21 20 0 455.1 C 0 1349.7 1804.7 50 01 455.1 C 0 753.7 1208.8 50 0

    26 20 0 630.6 C 0 2976.2 3606.8 762.3 01 630.6 C 0 6107.1 6737.7 762.3 0

    34 20 0 150.3 C 0 969.4 1119.7 702.6 01 150.3 C 0 7855.3 8005.6 1374.1 0

    DRIFT, INCH

    -239.084 kip-ft

    Max: -478.168 kip-ft

    -79.680 kip-ft

    Max: -310.847 kip-ft

    -113.740 kip-ft

    Max: 629.655 kip-ft

    -192.916 kip-ft

    Max: -385.832 kip-ft

    -133.758 kip-ftMax: 310.847 kip-ft

    -53.530 kip-ft

    Max: -68.697 kip-ft

    Bending ZLoad 20 : Moment - kip-ft

    626

    20

    -2.400 kips/ft

    1

    34

    -2.400 kips/ft21

    -36.000 kip

    10.800 kip

    -36.000 kip

    10.800 kip

    -36.000 kip

    10.800 kip

    -36.000 kip

    10.800 kip

    Load 20