Q. A cantilever beam of span 3 m carries a udl of 2kN / m over a span of 2 m from fixed end. In addition a point load of 2 kN placed at the free end. Draw the S.F and B.M diagrams with critical dimensions.

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Q. A cantilever beam of span 3 m carries a udl of 2kN / m over a span of 2 m from fixed end. In addition a point load of 2 kN placed at the free end. Draw the S.F and B.M diagrams with critical dimensions.


SOLUTION:
Total load = 2 * 2 + 2 = 6kN
S.F.D: (SHEAR FORCE DIAGRAM)
F{A} = 6kN
F{C} = 2kN
F{B} = 2kN (just left of B)
F{B} = 0kN (just right of B)
Max. S.F occurs at fixed end =FA =Fmax =6 kN
B.M.D:( BENDING MOMENT DIAGRAM)
M{B} = 0
M{C} = – 2 * 1 = – 2kNm
M{A} = – 2 * 3 – (2 * 2) * 2/2
= – 6 – 4 = – 10 kNm
Max. B.M occurs at support
=M A =M max =-10 kNm
M max =10 kNm (sagging).

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