Questions are firstly, the shear force at a distance of 0.5 meters

from the fixed support is most nearly which of these alternatives?

So here, we're interested in a location here,

which is a distance of 0.5 meters from A.

And remembering our sign conventions then,

the direction of the shear force here is in this direction, positive upwards.

And the bending moment is in that direction,

which we'll look at in a minute.

It's convenient to replace this distributed load here by its

equivalent resultant and the equivalent resultant force here,

if R is the force being at the length times the length.

1.5 x 2 = 3.0 kN and by symmetry it adds midway,

it acts midway along that 2 meter segment.

So to find the shear force,

we sum the forces in the vertical direction on the right hand segment.

So here we have V, which is positive upwards minus,

because they're both acting downwards, 4 and 3 kilonewtons.

So therefore the shear force is positive 7 kilonewtons and the answer is C.