Draw the S$.$F$.$ and B$.$M$.$ diagrams for a cantilever of length $L$ carrying a point load w at the iree end.

A cantilever $2$ m long is loaded with a uniformly distributed load of $2k\frac{N}{m}$ run over a length of $1$ m from the free end. It also carries a point load of $4$ kN at a distance of $0\mathrm{.}5$ m from the free end. Draw the shear force and B$.$M$.$ diagrams.

$[$Ans$.F_{\text{m}\text{a}\text{x}}=+6kN$;$M_{\text{m}\text{a}\text{x}}=-9kNm]$

Draw the S$.$F$.$ and B$.$M$.$ diagrams for a simply supported beam carrying a uniformly distributed load of $w$ per unit length over the entire span. Also calculate the maximum B$.$M$.$

A simply aupported beam of length $8$ m carries point loads of $4kN,10kN$ and $7$ kN at a distance of $1\mathrm{.}5m,2\mathrm{.}5m$ and $2$ m respectively from left end $A.$ Draw the S$.$F$.$ and B$.$M$.$ diagrams for the simply supported beam.

$[$Ans$.M_{\text{m}\text{a}\text{x}}=+90kNm]$

A beam is loaded as shown in Fig. $6\mathrm{.}46.$ Draw the S$.$F$.$ and B$.$M$.$ diagrams and find:

$($i$)$ maximum S$.$F$.$

$($ii$)$ maximum B$.$M$.$