$11$

Formula

$12$ points

The image below shows a beam loaded by a Uniform Distributed Load w$=3\mathrm{.}27$ kN$/$m acting upward, and a point load $P=14\mathrm{.}0kN,$ acting downward and applied at a distance $a=8\mathrm{.}51m$ from the left hand end. The beam has length $L=14\mathrm{.}7m.$

Give the internal bending moment at a distance $y=4\mathrm{.}91m$ from the left hand end. Give your answer in kNm and use the usual convention where a postive bending moment is one that causes a beam section to curve upwards.