Q. Calculate the max shear force and bending moment for a cantilever beam of span 3 m carries a udl of 5 kNm over a length of 1 m from free end and a point load of 10 kN is acting at a distance of 1 m from fixed end.

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Q. Calculate the max shear force and bending moment for a cantilever beam of span 3 m carries a udl of 5 kNm over a length of 1 m from free end and a point load of 10 kN is acting at a distance of 1 m from fixed end.

SOLUTION:
Total load= 10 + 5 × 1 = 15kN

S.F.D ( SHEAR FORCE DIAGRAM)
F{A} = 15kN (same in between AC)
F{C} = (just left of c)= 15kN
F{C} = (just right of c)= 5kN (same in CD)
F{D} = 5kN
F{B} = 0
Max SF occurs at A = 15kN (same in AC)

BMD ( BENDING MOMENT DIAGRAM)
M{B} = 0
M{D} = – (5 × 1) 1/2 = – 2.5kNm
M{C} = – (5 × 1) (1/2 + 1) = – 7.5kNm
M{A} = – 10 × 1 – (5 × 1)(1/2 + 2) = – 22.5kNm Max B.M occurs at A = – 22.5kNm

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