Question

1) The uniform beam shown is supported by a pin at A and a light rope at B. A 1,000 lb weight is supported at C. Determine the normal force, shear force, and bending moment at point P. (15 p.) 30 3 А 2) The uniform beam shown is supported by a pin at and a roller at B. Using the analytical method (i.e., sections), construct the shear and moment diagrams. Write your equations V(x) and Mix) for each section (25 pts.) 301b 1016/A 404.6 B k 2H 24 * 41 3) (a) The beam shown is supported by a pin at A and a roller at B. Using the graphical method, construct the shear and moment diagrams. Integrate to determine the equations V(x) and Mix) for each section b) Determine the point x where the bending moment is a maximum. (25 pts.) 3001b 100 16/A II А - 4 -44 B 2A

Answer 1

Ans: Given Data: 0 C = 0.45488 Unifam beam supported by a pin @ A. And rope @ B. Weight load @ c = W= 1,000 1b 1 pound ..W=1000 worth EBD = 454*984 Now, Apply The Equilli brium = 44538741bf. Conditions; >t EFx=0 ty 30 Ax-TC0338 = P с ادا TEFY Ase 'B =0 齿。 Ay » Ay+Tsin3o-wzo 7 Ay + Tsin 30 = *4554 1000 aft. Aft aft 2ft. at CEM А from 0 -T Sin38 (8)+1000(10) =0 T sin38 (8) = 1000 (10) 10000 T = 8 sino' T= 2500 16 Ax = 2500 cos 30 Ax=2165.06 lb 2500 lb 2 from Ay= = 1000 1000 – 2500 sin 300 Now, consider: MP - Ay=-25016 -- Ay 2501b A AX Np 4ft. way Now, apply te fyzo (Maro Sfa > -Ay +Up=0 Ax-wp= Ax-Net --Ayvp = 25016 -Mp - Vply) = 0 Mp=-25014) =-10001b Hp= 2165.0626) Mp= 100006