FEM(revised) - FIXED-END MOMENTS FOR PRISMATIC BEAMS W W at...

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Unformatted text preview: FIXED-END MOMENTS FOR PRISMATIC BEAMS W W at? C l—LLLLLLLLLI 3% W 3-4“: 8 #———L—I‘ 1—L—l‘ P P M _ Bait _ mm L’ L’ 2L’ a—alL—b #:a—JTb M M (3b Lg M MCL’3 ’g a - - a L} 3 2L —II—b 1:0—II‘L—b _wc’(10L’-10Lc+3c’l W _wa(20L’-15Lc+3c*g D 120L *L—C +————— D D _ wad(4(L’ -a’)- (1’) 8L M,~= aims ,+ej—3¢) +114;- Mij= —3LEI (e,—¢) MI;- Mfi= ZLAmfizej—w +Mfi A417: 0 ¢= (A: A) L FRAME ELEMENT (C=Cose , S=SIN9) MEMBER STIFFNESS MATRIX IN LOCAL COORDINATES ROTATION MATRIX E 0 ‘ 0 :_E_A; 0 0 L 12131 6E1 12E] 6E] C S 0 0 0 0 0 3 z 0 — 3 2 —S C 0 o o o L L L L 0 6E] 4E1 0 _6EI 2E1 [R]: 0 0 1 0 0 0 [K]: L2 L L2 L 0 0 0 C S 0 % 0 o 5L4 o o o o o -S C o 12E] 6E1 12E] 6E1 0 0 0 0 0 I 0 _ 3 _ 2 0 3 — 2 L L L L 6E1 2E1 6E1 4E1 O 2 — 0 _ 2 _ L L L L ’12 5 1 x 4 3 E,A,I,L MEMBER STIFFNESS MATRIX IN GLOBAL COORDINATES [K ]= [R " 1K '][R ] C2E+3212E1 CSE_CSI2EI “9% _C2E_ 212E1 _CSE.+CS12E1 4951 L L3 L L3 L2 L L3 L L3 L2 CSE’i—Cslzfl 52530121” C9? —CS£4+C5123EI 422—6121” Cfl L L L L3 L L L L L3 L2 Egg Cg E 36H 4% a [K]: A L 12E] EA L 12E1 6LEI EA L2 12E1 EA L 12E] LE —C2E——S2 3 —CS—+CS s—2 C2—+S2 3 CS——CS 3—6—1 L L L L3 L L L L L3 L2 _CS£4+CS12§I 42244212131 46.1% €324-05”? szfiéwzlz? -Cfl L L L L L2 L L L L L2 4% CE E SE 436151 112 L2 L2 L L2 L2 L TRUSS ELEMENT [K ]= [R T IK 'IR] (c=cose , S=SINe) MEMBER STIFFNESS MATRIX ROTATION MATRIX MEMBER STIFFNESS MATRIX IN LOCAL COORDINATES IN GLOBAL COORDINATES 1 0 -1 o C S O 0 C2 CS —C2 —CS . EA 0 0 0 0 —S C 0 0 EA CS 52 -CS —S2 [K]=—— [R]= [K]=— 2 2 L —1 o 1 0 0 0 C S L —C —CS C CS 0 o o 0 0 0 —S C —CS —52 CS 52 4 ...
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FEM(revised) - FIXED-END MOMENTS FOR PRISMATIC BEAMS W W at...

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