Question

Q13. Consider a cantilever beam of 10m length fixed at right end. It carries 5 stones of length 2 m each placed on the beam. The load of each stone is 5 kN/m. A rod of 10 kN load is placed on the beam at 2 m from fixed end and another rod of load 12kN at midpoint of the beam. All the loads are acting downwards. Draw the beam with the loads and fixed condition. Mark the fixed end as Q, free end as P, the point at which the rod of 10 kN acts as R, and the point at which the second rod of 12 kN acts as S. ii) Analyze the beam by taking appropriate cross section where ever required, and construct the shear force and bending moment diagrams for the beam.

Answer 1

weght of each stone - Ska. loading per unit length (W) = 5=2.5 kN/m 2.5 kN/m (1) (1) Drawn section lokN 12kw PS ! V(x) = 2.5x .-2m-Reimst sm 47 2.5 V 42 IIII 32 Mx) = -2.5x² 24.5 MG=5)= -31.25 km section SR 12kN Vxl = 2.50+ 12 hours -31.25 L M(C) = -2.5*- 12(x-5) M (x=8) =-116 kN-m. Section ar -205kNm 2.5x+12+ lo loka 12kN. MQ) = -2:54-12(x-3) - 1044) at x= lom v (2= 10 ) = 47 kN. M (X=10) = -205kN-m