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A cantilever beam of span 2.5m carries three point loads of 1kN, 2kN, and 3kN at 1m, 1.5m, and 2.5m from the fixed end. Draw S.F.D. and B.M.D.
1 Answer
written 4.7 years ago by |
I. To calculate reaction at support A
$\Sigma \mathrm{Fy}=0$
$\mathrm{R}_{\mathrm{A}}-1-2-3=0$
$\mathrm{R}_{\mathrm{A}}=6 \mathrm{kN}$
II. SF calculation:
$SF at A=+6 \mathrm{kN}$
$\mathrm{C}_{\mathrm{L}}=+6 \mathrm{kN}$
$\mathrm{C}_{\mathrm{R}}=+6-1=5 \mathrm{kN}$
$\mathrm{D}_{\mathrm{L}}=+5 \mathrm{kN}$
$\mathrm{D}_{\mathrm{R}}=+5-2=3 \mathrm{kN}$
$\mathrm{B}_{\mathrm{L}}=+3 \mathrm{kN}$
$\mathrm{B}=+3-3=0(\therefore \mathrm{ok})$
III. BM calculation:
$\begin{aligned} \mathrm{BM} \text { at } \mathrm{B} &=0 \quad \because \mathrm{B} \text { is free end. …