Problems on cantilever beams subjected to point loads

Q. A cantilever beam 6 m long carries four point loads of 5 kN, 10 kN, 15 kN and 20 kN are acting at 2 m, 3 m, 4 m and 6 m respectively from fixed end. Draw SFD and B.M.D.

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SOLUTION; Total load = 5 + 10 + 15 + 20 = 50 kN SHEAR FORCE DIAGRAM F A =F max = 50 kN (5 + 10 + 15 + 20) (same in between A &E) F{B} = (just left of B)= 20kN F{c} = (just left ofC )=35 kN FC = (just right of … Read more

Q.Q. A cantilever beam 3 m long carries THREE point loads of 2 kN, 4 kN, and 1kN are acting at 1 m, 2 m, and 3 m respectively from fixed end. Draw SFD and B.M.D.

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Q.Q. A cantilever beam 3 m long carries THREE point loads of 2 kN, 4 kN, and 1kN are acting at 1 m, 2 m, and 3 m respectively from fixed end. Draw SFD and B.M.D. SOLUTION TOTAL LOAD =2+4+1=7N SHEAR FORCE DIAGRAM FB = 1N FD = 5N (4+1=5N) FC = 7N (2+4+1=7N) MAX … Read more

Q. A cantilever 5m long carries three point loads of 20 kN, 30 kN and 15 kN at 1 m, 2.5 m and 4 m respectively from free end. Draw SF and BM diagrama. Calculate S.F. and B.M at 4.5 m from free end.

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SOLUTION: Total load = 15+ 30 + 20 = 65 kN SHEAR FORCE DIAGRAM FA = 65 kN (same between AC) Fc =(just left of B) = 65 kN Fc =(just right of B) 50 kN FD= (just left of D) = 50 kN FD =(just right of D) = 20 kN FE =(just left … Read more

Q.A cantilever AB is 6 m long and is fixed at A. It carries point loads of 10 kN, 8 kN and 12 kN at 2 m, 5 m and 6 m respectively from the fixed end. Draw SFD and state max SF

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SOLUTION: SHEAR FORCE DIAGRAM FA =30 kN (same in between AC) FC (just left of C) = 30 kN FC (just right of C) = 20 kN FD (just left of D) = 20 kN FD (just right of D) = 12 kN FB =(just left of B) = 12 kN FB (just right of … Read more