SME$2602$ MAJOR TEST $22024$

Question $1$

Figure $1$ shows a horizontal beam simply supported at points $B$ and $D$ and loaded with a

uniformly distributed load of $2k\frac{N}{m}$ run over its entire length and two concentrated loads

at each end of $2$ kN and $1\mathrm{.}5$ kN respectively. Support D is situated at a distance $"x"$ from

the right end E $.$

For the given data determine:

$1\mathrm{.}1$ The position of support $D$ if the midpoint of the beam $C,$ is a point of

contraflexure;

$1\mathrm{.}2$ Draw the shear forces and bending moments diagram and locate

any other point of contraflexure.

Solving hint: the summation of moments about point $C$ of all forces situated on the

right side of point $C,$ is equal to zero.