Q. Draw shear force and bending moment diagrams of cantilever beam loaded as shown in figure.

Q. Draw shear force and bending moment diagrams of cantilever beam loaded as shown in figure.

SOLUTION:

SFD (SHEAR FORCE DIAGRAM)

Total load = 4 + 5 + 3 + 4 × 2 = 20kN
F{E} = 0
F{D} = 11kN(4 × 2 + 3 = 11kN)
F{C} = 16kN(5 + 3 + (4 × 2) = 16kN)
F{B} = 20kN(4 + 5 + 3 + 4 × 2 = 20kN)
F{A} = 20kN(4 + 5 + 3 + 4 × 2 = 20kN)

Max S.F occurs at Fixed end A
FA =F max =20 kN

BMD(BENDING MOMENT DIAGRAM)
M{E} = 0
M{D} = – (4 × 2) 2/2 = – 8 kNm
M{C} = – 3 × 2 – (4 × 2)(2/2 + 2)
= – 6 – 24 = – 30kNm
M{B} = – 5 × 1 – 3 × 3 – (4 × 2)(2/2 + 2 + 1)
= – 5 – 9 – 32 = – 46kNm
M{A} = – 4 × 1 – 5 × 2 – 3 × 4 – (4 × 2)(2/2 + 2 + 1 + 1)
= – 4 – 10 – 12 – 40 = – 66 kNm
Mmax =Max B.M occurs at fixed end A and its value
= -66 KNm