Question

2) For the simply supported beam shown in figure 2 8 marks 4 marks Determine the maximum deflection of the beam Determine the angle the beam makes to the horizontal at support R1 Explain how you would answer questions 2) a) and b) if a coupling moment of +30 kNm was added at R1. No calculations are required, but you should explain clearly how this would effect the working and also provide an estimation of whether you think the maximum deflection will increase or decrease a) b) c) 3 marks Take EI 18 MNm2 15m1m 28 1 m 2.5 m 1.5 kN/m Figure 2: Determinate beam

Answer 1

2にN 4 2_ う R, = 7.65 ove 12-* 31S 4.7375 丹 6

ET 2n The maximum defHedion wl be Jhe. af he oint whene the Jthe above :)) Hep Yen t the Slope at beom oint in Jhe oniginal b

12.437S EL 1875S 2x 1.5% 9.7675 EJ 之 EL 3 F20.129 5x15 = 0.1375 2-1 2S 8 5% 2-5 ), 5625 ナ

I.766 EL 20,72] EL ,' s 62ら 2125 -oナ 9TBTS.xo.931S + 9,7 875 矼 + 20.727 20.7ら R 21. 32 AM. @ = Pasag TB 19.9 $15 32.2 32 y YS 32, 12

Ls So The rimum , EI @ 125m.少renn brt » c e A) (b) the slope the ohicinal oeam A21.32 gad

2) ) Jhene be a coph moment Jnen JMe heQMD J Bean will chan C. in2 l ch 叩e