Q. A cantilever beam of length 4 m is loaded as shown in figure. draw. SF and BM diagrams.

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Q. A cantilever beam of length 4 m is loaded as shown in figure. draw. SF and BM diagrams.

SOLUTION :                                            Total load =30+20+10×2 = 70 kN

SFD (SHEAR FORCE DIAGRAM)
FA =70 kN (same in AD)
FC=( just left of C)=70kN
FC=(just right of C)=40kN
FD=40kN
FB= (just left of B)=20kN
FB (Just right of B )=0kN
Max SF occurs at A =70 kN (same in AC)

BMD ( BENDING MOMENT DIAGRAM)
M{B} = 0
M{D} = – 20 × 2 – (10 × 2) 2/2 = – 60 kNm
M{C} = – 20 × 3 – (10 × 2)(2/2 + 1) = – 100kNm
M{A} = – 30 × 1 – 20 × 4 – (10 × 2)(2/2 + 2)
= – 30 – 80 – 60 = – 170kNm

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