Question

Part B) For the frame (no sidesway) below, determine the reactions and draw the shear and moment diagrams using the moment-distribution method of analysis. Joints A, B and E are fixed and all members are rigidly connected at C and D. You may perform the moment distribution by hand. E is constant, but I is as shown on the frame 50 kN 50 kN 4 m 6 kN/m 21 1.51 1.51 6 m 8 Part 3) Reanalyze the frame of Part 2 with the fixed support at E replaced with a roller so that the frame can sway laterally

Answer 1

The Reactions and h she ondMoment diagram using -tke Momentdliboton re hod of valyi → Joints A and B and E coe Fixed age Membens aeridly cunnected at candD 4M 3 OKN 50kN 1,51 6M 8M GM step 1 CA CD DC D B DE E1 2E2 ET уз 3E0V slap 2 structure

e2 6 x6 30 - 1.2 kNlM 2 0 50×8 ニー 50kNM. 60x 5DKNM MDE--以 5oxb 8 ニー37, 5kNM Sox6 二 31, 5kNH

STeD 3 Moment Dishỉbuhan Table FEN,ウ1-12 0.-50 5 9,6 19.64167 -467 0 0 -2.0835 9.8 o -3구.5 37.5 DOM → 0 0 -2 0S 10415,0415 3.23 263.267 o 35 : 2.0835 COF → | 0.521 0 1. 633 3 o.S2 -1. 633 36333 CoF0.4 Total3.53 32.26-32.3454-3 2.26 323411 45.61n 5 3.12 3341-3. 804. -+) )づ3 -3.53 Free body diasram o Ac ↓ 32.26 6 M На VA3.53

Page ④ x HA 1322.63.53) 1 2 GX HA 32.26 3.53+ 36 X HA 322.6 32.4- .., Hc Freebody diassam co 50KN 18 3 2.3454 53.1233 8Vc +53. 1233 (5ox4) 32. 3454 VD 21.6 KN FYee body diagram DE 5okN 2 D 3M 3M 4-5. 107733.1 VE VD

6VD 33.7 (5ox 3) +45.1077 Yee body diagvam ef D 1607 HD - 3.804 -3.804 = bHB+ 7.6011 HD1 902KN 2 KN 21 2.3. 1.102 B

B Moment diagram Page G 53,1333 15KNM 32.3千54 23.1 32 2C A 3.53) 3. 04 B 千 2 4- 50×6 4 Ab 6 X I8 3