Question

Note : In case if possible in spreadsheet then do it or else do it in manual calculation also fine for me .

Develop a spreadsheet to calculate the moments and reactions at the supports of continuous, multi-span beams by the moment distribution method. For each of the two structures illustrated below: (a) Use your spreadsheet to calculate the moments and reactions at the supports. (b) Draw the complete shear and moment diagrams. Label the diagrams with the values for the peak shears and peak midspan moments. NOTE: Assume that is constant in each case. Case 1: Case II: 30 kips 60 kips AKI 4 klt 2.4 kif TIZ T Tim 15ft 1 15ft 20ft 50ft 40ft constant KI = 3610 ** = 3150 ** 1 = 2860 —

Answer 1

Ans: Moment dislaibekion nethod - 30 kipp 4KIFL A O 1SFE B Bott m c 3oft D Calcula bon of FEM MAB 30X 30 11e 6 hps fE MBA AIR 6 6-ft - 4 X 202 k.ft :- 133 33 4 X202 Mco 133 33 k ft 17 12 300 k.ft MDc B00 K.ft OF: Calarlakioo of at (oint 6, 3 e1 KBA keA 30 kBc: 4€1 K8C 3 €т 10 at joiot 'e keo 3ET Kco 30 4E1 ce eo 4 E1 - - ΣΚ 20 4 1

02taittion of Moment Th A. - t12-5 12.5 193 33-30O -133 33 66-25 -150 - 11 81 -23 -G1 105 60 -11.81 7.87 3 930 -35 1870.36- -35. 3.935 3.45 11-72 - 1 -31 -2.62 31 + 349 0-873 0.4g6 - 3.90-7.81 - -3-9d 0-436 -0-196-0-q 0-145 -3 16.40-115-0793e6.9-3 27-059 calcerlation eactong 30 K RA+ RBI- 0 K RA E MA-o tI6.405 +3O x15 - Reix 30 038AI 18-88h RAIek 6-0794K!FE 3969 103 00.0-c RBe RCI 80 K Rei Ree RCixeo O B 0-15.079+92G.6 t80x O Ree 2q-41K RcI: 50.58 k

34 os8 4 K Ife 3oft Rce RD Ree+ Ro e0K 3 068 + IR0X15 ROX30 0 RD: 49.09k Rce : 10-9ok BMD 336.8 A SFD 70-91 1142 29.4) t17 A 50-55 49.09 60K 2.4 hIft A RO aof유 50ft mI 4oft FEn - GOX40 - 300 k. ft MAB 6OX40 MBA = 300 kft e-4 x 502 : - 500 hfE Mco: -390 klt BC 2 Moc: 320 kft P.4 X 50 500 KfE

DF KBA 3Xl-26 CT 40 4X 1.1 ET kBc: 0-48 50 0.18T 4 X11E1 KCB 0. 468 KCB 4 XeT keD 0. 53 K cp 40 o488 €I noment Lo Dis lon beting 2ో 0.46 goo-320 300 I50 5O0 320 842H-95-4 43.7 24 26 12 42-12 5.616-9.96. 21.90 20 21 -4.98 10 10 - 2.S08 -4.72-5355 2.67 1.46 1-34 0-67 -e-36 0-8 13-0.35 4.22 .13 -0.17 7 0-56 0.15 65 500-56 -50O 16 4289-431.0 269.4

cal eulakiog eachionp GOK 500-56 RA+ ReI- 60 ২० RA toe Re1 EMA O 6OX 20 500-68-RB1x 40 0 Re : 42. RAE 47.48 K २.१k/१e 500-G satCot E F70 Rezt Rei 20K 428-4 50fl Rop RC ReI OK 431.0G 40 E 190 Ree RD Rce + Ro 96 K Rce 52.16K Ro: 43 83k BMD SFO T,48 5 -6 -89 C LL148 51 43.03 #7(0