Question

For the beam shown in Fig. 9.5(a), determine the maximum positive and negative shears and the maximum positive and negative bending moments at point due to a concentrated live load of 90 kN, a uniformly distributed live load of 40 kN/m, and a uniformly distributed dead load of 20 kN/m. А B с 3 m - 3 m 6 m (a) cm | قمة | А с D B D A B -2 (e) Influence Line for Mc (kN-m/kN) (b) Influence Line for Sc (kN/kN)

Answer 1

B A 3M o 3mc 2/3 13 + A B c -13 live load voll = 40 kn/m dead load voll = 20 kN/m Conch. live load = 90 kN. → For positive Maximum shear. place Concentrated load at'd & udl in the region (3x90) 1 X 2 XG * (40+20) t 60 + 120 180 KN - for Negative Maximum shear place Concentrated load at'd & udl in the region BC (3*90) + 1 x 3 x 1 x. .x. (40+20) 30+30 60 KN

+ A 3 B for positiue Maximum bonding Moment place toad at & & vel in the region BD (2x90) + (4x9x2x( 40 420)] 180 tsyo 720 KNM for Negative Maximum bending Moment place concentrated load at A & Udl in AB? (2x90 ) + *3*2 x( 40+20) let 180 + 180 360 kNm