Question

Determine the slope and displacement at point C. El is constant. Assume A is a pin. Use the method of virtual work. Prob. 8-30 2 k/ft с А 12 ft 6 ft

Answer 1

figA 2 Klft Sign Convention 20 tve left TRA=11k EMA=0 BB X GR Î B-1gK \x642x(12 +9) 612 - -ve Rp X12 = 2x12x12 + 2 RatRB - 2x12 + 1X6X2 19k = 301 Ro = 2X12X6 + 6 x 14 12 RA = 30-19= 1t Fig 1 for vert deflection atc) A x RB= 1.5K ZMA=0 → R8X12 = 1X18 → Ratle = 1 Paz – 0.5 k 11 fig 2 Josk ka The = 1.5k VO.SK Fig 3 카 (for slope at e) 1112K 7 1-1/2 EMA=0 Ź MB=0 PBX 12 = 1 RAX12+1=0 RB=1/12 Ra = -12 → ED is constant throughout → for writing > fig Ares med → M for Span BC LOx = WxH = comme Klft for my Fig 2 es used Fig 3 is wed for m2 → CS Scanned with CamScanner

Zone Range of M mi m2 -2 LxWxxxxx 2Ć -1 3 CB O-6 **2222=-23 683 BA 12 -6276)+1.54 -1 + ² 0-12 12 = 0-56-6 = -232 - 4x6x2x/x+) 2 +19x = -3? - 64X+2) H198 =-?+134-12 Uuctical ceiblacement at C = DUC SM midx AUC (-7+132-12) (0.5x6cx -xx-&3 da EI AUC = -489-6/ET As assumed is downward, but it us-ve, → Aue Cupuards) 'Mmoda Slope at C = Oc = EI -se? dax 1-1) + (2413x+2)(7-1) d2 18 6 + "S - - EI S mm ET Oc= -70 (Aesumed was clockwolle votahom) but it is anticlockove EI c = 70 ET 20 g CS Scanned with CamScanner