Question

2. A cantilever beam is loaded as shown in the following figure. 1) Draw the shear force and bending moment diagrams 2) Calculate the maximum bending stress in the beam. S 3) Calculate themaximum transverse shear stress in the beam. 19 kN 3 kN/m NA 01 m 2 m 2 m 2 m

Answer 1

19 KN 3 kN/m В ko heer Force dingsan oo -13 Bending moment diagram +8 A M (k Nom) -18

© Sheer Force Calculation convention Vet (362)2+6 kW I T Gve tve Ve J.L=+6-19 = -13 kN JL-Just left. JR- Just Right NA JR. = -13 KN - Absolute Hence Manmum Shes Force VA IL 20 KN (Vmax = 13 kN | © Bending Moment Calculation :- Mp=0 kNm Convention (CW) CCCW) (cow). CCW) M -6 kN.m mg = -18 kN m MA .R. 2 - (3x23(+2)) + (1982) Ma = - 30 + 38 =+8 kN. m.

Date: Hese, Maximum Absolute Be Moment | Mimaa = 18 kNm @-2 Maximum Bending then stress Smag. Mmox xy here, Moss 18 kNm, 4= 0.4-0.05 m 6.1 - 8.33 x 205 m 12 Oma 188 10 3 20.05 8.33 X 10 6 108600 8 103 Nm Smas = 108 1166 Pa Bar = 108 mPat Anwer CP - 3 Maximum Transverse shear stress (Tmax) Tmex = 3, Vmax here, Vmer = 13 kN A A 0012?=002 m 13 x 10 0,01 Tmeg = 19,5 x 20 5 Pa ta Answer mer = 1.95 MPa = 1950 kPa