A simply supported $200mm$ deep and $75mm$ wide beam is subjected to

externally applied loading as shown in Figure Q$1$ below. The loading consists

of a concentrated point load of magnitude $P=10kN$ that is located at $C,$ a

uniformly distributed loading of magnitude $w=2k\frac{N}{m},$ and axial tensile loads

of magnitude $F=15kN$ that act through the neutral axis of the beam.

$($a$)$ Determine:

i$.$ The support reactions at A and $B$

$(4$ marks$)$

ii$.$ The maximum bending moment in the beam and its location

$(4$ marks$)$

iii. The maximum bending stress $($in units of MPa$)$ that occurs in the

beam

$(4$ marks$)$

iv$.$ The maximum axial stress $($in units of MPa$)$ that occurs in the beam

$(3$ marks$)$

$($b$)$ Using the principle of superposition:

i$.$ Determine the location and magnitude of the maximum resultant

stress in the beam, indicating whether it is a tensile or compressive

stress

$(5$ marks$)$

ii$.$ Sketch the axial, bending and resultant stress distributions for the

beam cross$-$section at the location of the maximum resultant stress

in the beam, i$.$e$.$ at the location identified in Q$1($b$)$i$.$

$($there is an example up but i believe the measurements are either wrong or i cant understand where they come from$)$