Question

Consider the simply supported beam shown in the figure below. Let x be the distance measured from left end of the beam. 1. Determine the vertical reactions at A and C 2. Write the equations for shear and moment for the section of the şember between B and C. 3. Draw the shear and moment diagrams for the entire beam, specifying values at changes in loading and locations where the shear is 0. 8 kN/m 48 KN 24 N- MacBook Air CDC DOC F FS # 97 $ 4 A % 5 * 6 & 7 - 1 8 9 E 0 R T

Answer 1

Solution: 148kN. 8kW/m 24Kw.ro "Ay 4m 3m 3mo EMFO > 48(10) - Cy(3) - 864)() +24 = 0. 480 - 3cy – 64 +24 50 acy = 440 = (y = 62-857 kW SFY -o > Ay + 4y +804) -48 =0 → My = -46.857 KW. For the Span AB : (2: from A): ** B.m! S.E: Sagging: Hogging : Tulq-ve Ay + 8(2) Ay (x) + 8 x + 24 -46.857 +82 - 46.857 +422 for the Span Be: Ca. from A) Byt - Gayle + 8 (4) (2-4) Sifa Ay + 8 (4). (2-4+2) t 24 –46.857+ 32 = – 14.857

Bm = - 46.857 n +32(2-2) 0.- - 14-8577-64 +24 for the Spar -- CD (2. from a Span SF = Ay + + 8 (4) + Cy Bm- 24 + 4y®+ 8(/2-42 tcy (0-7) - 46.857 +32+62857 48 B.me 24+ (-46.8577) +32(2-2) +63-857(7-5) 24Kw.in 8km 48 Crete Ay 48 SFD - 14.857 Shear is zero at e -46-857 24 Bm D -99.428 -144