Question

2. (25 pts.) For the beam shown: a. Calculate the reactions loads at: i. Pin support A ii. Roler B b. Find the Equations of Shear and Bending Moments for the intervals A-B & B-C c. Find the Shear values (V) and Bendinf moments (M) at: 50 lb/ft i. Points A ii. Point B iii. Point C iv. Also the location and Magnitud of the Maximum Bending Momentin d. Draw the Shear and Bending -20 ft — Moments Diagrams and indicate all values from part c. 200 lb-ft A 10ft -

Answer 1

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solm (0) solblft 200 lbft 1711tle ATE 2off q-loft- let Reaction at A & B RB are RA 4 RR respectively. { fy=0 RA+RR = sox20 PATRB = 1000 db O - 0 taking moment about A, EMA=0 Rp X 20 - s0X20X20-200=0 RB = siulo from ① RA=49016.] for AB BC taking & from ende shear force [V(x) = 0 Ex=) Zoolb-ft at point c Veto at point is (just right to B) Vo=0 Bending moment IM(x) = - 2000/ (Hogging.

Mc = MB = - 200 lb-ft | constant liti loft — C)200834 for AB shear force V(x) = - RB + so (x-10) v(x) = -510 +so (2-10) at B (Just left to B) VB = -5lols. Bending moment M(%) = -200 + RR (X-10)-so (x-10) at A x= 30 VA = 490 lb. MB = -200 lb-ft. L② MA=0 SF D 4 BMD zoolst VE)=0 for AB 4 - II III A7 20f| (2 - 49016 $lols. 490 -slotso (7-10) =0 1x=20.24+ using maximum SMD 49.84 € -S10 2401 ebt M = 2401 lb-ft S 26.31