2016/4/6 Chapter 6 Influence Lines() and Maximum Load Effects. 同大学 土工程学院 6.1 variable loadings() This old board doesn't look safe. I made it! SNAP! Mealtime' Almost! 月大学 土工程学院 2 1
2016/4/6 1 1 Chapter 6 Influence Lines（影响线） and Maximum Load Effects. 2 6.1 variable loadings（活载）
2016/4/6 6.2 variation in response function with position of load:influence line (影响线) I kip 1 kip movement - A 凡B L RA RB Ro=4 (a) (c) 1 kip I kip B ↑ R=I RB=0 RA Ri= (b) (d0 6.2 continued 1 kip B ↑ 2 R=0 RB=1 4 (e) Rg(kips) 3-4 1-2 (g) 0 Ra(kips) n @月冷大学 目土本工程季悦 2
2016/4/6 2 3 6.2 variation in response function with position of load: influence line（影响线） 4 6.2 continued
2016/4/6 6.3 influence lines by equilibrium methods kN c 5m-45m-5m- 10m (a) R Rc 1kN P-10-1一 (c) D RA(kN) -10m 3 R R 2 (d) (b) Rc(kN) 5 6.3 example 2 ②③ (4 10' =的= 5 15 RA (a) (b) 2 15 5 Ve (kips) M (kip-ft) (c) (d) 3
2016/4/6 3 5 6.3 influence lines by equilibrium methods 6 6.3 example 2
2016/4/6 6.3 example 2-continued I kip 卜5 MB= MB= A (e) (D 5 MB= 5-2 A a= (g) 7 6.3 example 3 U U3 L4 6@16°=96 R 1.25 1.00 1.L.R (k/K) -.25 1.00 1.25 1.L.Rs (k/k) 25
2016/4/6 4 7 6.3 example 2 – continued 8 6.3 example 3
2016/4/6 6.3 example 3-continued 14 2 R L3 (positive as shown)Rs PU23cR,=0:FU235--R5 1k U202 EP.=0:(F.1.)3/5=R. 0.833 0.417 1.L.FU2Lg (w LV243·-53R -0.417 FU243·+53R1 -0.417 米十米 See discussion in Example Problem 6.3 6.3 example 3-continued 32 2M,=0:32R,+12,w ,,=-R 1 U TR132 EML30:32R1+12FU3Ua0,u."-3212 +0.667 +0.667 I.L.FUgUs (WN ku-3212R9u,u-212R 10 6
2016/4/6 5 9 6.3 example 3 – continued 10 6.3 example 3 – continued