Question

Problem 2. Solve the moments at all joints and supports of the given frame using moment-distribution method. Assume the supports at A, C, and E are pins. El is constant. 12 kN/m 10 KN D 4 m 16 kN/m 15 kN B 3 m 4 m

Please use moment-distribution method

Answer 1

12 kN/m AE TOKN 3m 4m 16 kN/m 15KN B 3m с. fixed and moment r FEM DE » -12x9 .-13.5 Am KN-m 8 TEMBO --) -16x9 8 KN-m A sel" Calculation of Distribution factor (Ek) tolul stiffness 36114 joint stiffnen (K) (klek) Dif 310 BA B 2.75 EI BC 4111 30/3 utsly BD 4111 112 D 416014 REI DE 34/3 112

4/11 4111 1/2 1/2 E -18 -13.5 6.54 6.54 6.756.75 3.375 3.27 -1.227 -1.227 -1.635 -1.635 -0.8175 -0.6135 0.297202972 0.3067 0.3067 0.1533 0.1486 -0.055 -0.055 0.07431 -0.0743 -12.44 8.266 8.152 -8.152 . -1244 8.2 66 8.152 -8.152 O final End Moments MBC =) |-12.04 kwam Ans g Moment at B MBDE 8.266 KN-m Ansa joint MDB 8152 KN-m Any a ] Moment at M DE jomto -8. 152 KN-m Ans 5 at joint B Bi MBD + MBA + MBC =0 IMBA MBA = 4.18 KN-M 4.18 KN-m | Ama ہا Moment at Joint B.
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