pipe element

L1 50 feet AE/L 495204.1685 do 10.75 inch EIy/L3 18.76797972 EIz/L3 1 0 0 di 10.136 inch EIy/L 6756472.7 EIz/L Bi = Bj = 0 1 0 A 10.07194919 inch2 Eiy/L2 11260.78783 Eiz/L2 0 0 1 i 274.8395675 inch4 GJ/L 5197286.692 E 29500000 psi x1 0 inch v 6043.169513 inch3 x2 600 inch rho 7.874 gm/cm3 y1 0 inch 1000 N/m W 7649.45236 N y2 0 inch 5.710163282 lb/inch w 5.710163282 lb/inch z1 0 inch 68.52196212 lb/ft tetha 0 degree z2 0 inch G 11346153.85 psi Cx 1 J 274.8395675 inch4 Cy 0 Cz 0 (Cx2‐Cz2)^0.5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 x1 y1 z1 tx1 ty1 tz1 x2 y2 z2 tx2 ty2 tz2 495204.1685 0 0 0 0 0 ‐495204.1685 0 0 0 0 0 0 x1 0 225.2157567 0 0 0 67564.727 0 225.2157567 0 0 0 67564.727 ‐1713.049 y1 0 0 225.2157567 0 ‐67564.727 0 0 0 ‐225.2157567 0 ‐67564.727 0 0 z1 0 0 5197286.692 0 0 0 0 0 ‐5197286.692 0 0 0 tx1 0 0 ‐67564.727 0 27025890.8 0 0 0 67564.727 0 13512945.4 0 0 ty1 0 67564.727 0 0 0 27025890.8 0 ‐67564.727 0 0 0 13512945.4 ‐171304.9 tz1 ‐495204.1685 0 0 0 0 0 495204.1685 0 0 0 0 0 0 x2 0 225.2157567 0 0 0 ‐67564.727 0 225.2157567 0 0 0 ‐67564.727 ‐1713.049 y2 0 0 ‐225.2157567 0 67564.727 0 0 0 225.2157567 0 67564.727 0 0 z2 0 0 0 ‐5197286.692 0 0 0 0 0 5197286.692 0 0 0 tx2 0 0 ‐67564.727 0 13512945.4 0 0 0 67564.727 0 75.07191889 0 0 ty2 0 67564.727 0 0 0 13512945.4 0 ‐67564.727 0 0 0 75.07191889 171304.898 tz2 Exercise ‐ 1 ‐ Manual Calculation Element ‐1 K1 = A1 = w (Unit Weight) Force vector

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STIFFNESS MATRIX

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L1 50 feet AE/L 495204.1685do 10.75 inch EIy/L3 18.76797972 EIz/L3 1 0 0di 10.136 inch EIy/L 6756472.7 EIz/L Bi=Bj= 0 1 0A 10.07194919 inch2 Eiy/L2 11260.78783 Eiz/L2 0 0 1i 274.8395675 inch4 GJ/L 5197286.692E 29500000 psi x1 0 inchv 6043.169513 inch3 x2 600 inchrho 7.874 gm/cm3 y1 0 inch 1000 N/mW 7649.45236 N y2 0 inch 5.710163282 lb/inchw 5.710163282 lb/inch z1 0 inch 68.52196212 lb/ft

tetha 0 degree z2 0 inchG 11346153.85 psi Cx 1J 274.8395675 inch4 Cy 0

Cz 0(Cx2Cz2)^0.5 1

1 0 0 0 0 0 0 0 0 0 0 00 1 0 0 0 0 0 0 0 0 0 00 0 1 0 0 0 0 0 0 0 0 00 0 0 1 0 0 0 0 0 0 0 00 0 0 0 1 0 0 0 0 0 0 00 0 0 0 0 1 0 0 0 0 0 00 0 0 0 0 0 1 0 0 0 0 00 0 0 0 0 0 0 1 0 0 0 00 0 0 0 0 0 0 0 1 0 0 00 0 0 0 0 0 0 0 0 1 0 00 0 0 0 0 0 0 0 0 0 1 00 0 0 0 0 0 0 0 0 0 0 1

x1 y1 z1 tx1 ty1 tz1 x2 y2 z2 tx2 ty2 tz2495204.1685 0 0 0 0 0 495204.1685 0 0 0 0 0 0 x1

0 225.2157567 0 0 0 67564.727 0 225.2157567 0 0 0 67564.727 1713.049 y10 0 225.2157567 0 67564.727 0 0 0 225.2157567 0 67564.727 0 0 z10 0 5197286.692 0 0 0 0 0 5197286.692 0 0 0 tx10 0 67564.727 0 27025890.8 0 0 0 67564.727 0 13512945.4 0 0 ty10 67564.727 0 0 0 27025890.8 0 67564.727 0 0 0 13512945.4 171304.9 tz1

495204.1685 0 0 0 0 0 495204.1685 0 0 0 0 0 0 x20 225.2157567 0 0 0 67564.727 0 225.2157567 0 0 0 67564.727 1713.049 y20 0 225.2157567 0 67564.727 0 0 0 225.2157567 0 67564.727 0 0 z20 0 0 5197286.692 0 0 0 0 0 5197286.692 0 0 0 tx20 0 67564.727 0 13512945.4 0 0 0 67564.727 0 75.07191889 0 0 ty20 67564.727 0 0 0 13512945.4 0 67564.727 0 0 0 75.07191889 171304.898 tz2

Exercise1ManualCalculationElement1

K1=

A1=

w(UnitWeight)

Forcevector