A contilever beam of length 2 m fails when a load of 2 kn is applied at the free end. if the section is 40 mm * 60 mm, find the stress in the failure.
A contilever beam of length 2 m fails when a load of 2 kn is applied at the free end. if the section is 40 mm * 60 mm, find the stress in the failure. 1)Given data- beam length l = 2m. =2000mm load at free end P = 2 kn = 2000 Newton. cross section 40 * 60 mm b = 40 mm d = 60 mm 2) calculate bending moment at fixed end so M= P*L 2000*2000 = 4* 10^6 N/mm 3)Moment of inertia of rectangular section I = bd3/12 40*60^3/12 720000mm4 4) Distance for neutral axis y=d/2 60/2 = 30 mm 5) calculate bending stress σ = M*y/I 4*10^6*30/72000 = 1666.67 n/mm2