Question

Draw a free-body diagram of the segment 8≤x<14 m where x is in meters on paper. Write expressions for the internal shear, V, and moment, M, over this segment. (the answer requires x)
Learning Goal: To determine all of the reactive forces and moments acting on a beam, express the shear and bending moment as functions of their positions along the beam, and construct shear and bending moment diagrams. The cantilever beam shown is subjected to a moment at A and a distributed load that acts over segment BC, and is fixed at C. Determine the reactions at the support located at C. Then write expressions for shear and ber 5 kN/m 120 kN-m -8m

Answer 1

(8 - x) = 1 0=1- (8 - x) S- поголь з шли4,7 тда әлдон - k 8 x 48 M-Nya NY(8-X)G -succborg hoog Dey moear : (h17X78) Апавя о польою крон ру əчL. — at mg two ш-(W 50С, 5KNM Solution

V = (40-5x) KN At 2138 m. V= 140-588) Internal shear at om is o AtX = 14m v = (40-5x14) N aan Internal shear at rum IV = - 30k is - 30KN - Applying the moment law of the Equilibrium ; M + 12075(X-8)*7-8)=0 M = - 120-2150² Hox- 160

M = (-2.5x² + 40x- 280) KN-m. At X=8m M=– 2.588² + 40X8 - 280 IM – 120KN-M. At x=ium M= +215 8142 40x14_280) IM = – 210 kN-mi proment at x = 14 Bending is – 210KN-m.