3. For a clamp structure as illustrated
(NOT drawn exactly to scale), knowing
the pushing forces $K = K' = 720$ N and
$K$ and $K'$ are aligned along the same axis
x' and are parallel to the clamp axis x.
The normal cross-section for the column
that connects the two clamps (e.g., E-E'
cross-section) is a square with edge
length of $c = 1.2$ cm, and the distance
from force pair $K - K'$ (or x' axis) to the x axis $d = 2.0$ cm. Assuming the stress-strain are well
within the elastic limit, please calculate the following (totally 20 points):
(a) The maximum normal tensile and compressive stresses along the x axis at the E-E' cross-
section. Please also indicate clearly on which side (E top or E' bottom) is (max) tensile
and which side (E top or E' bottom) is compressive stress (14 points)
$K = K' = 720 N$
$c = 1.2 cm$
$d = 2.0 cm$
$x' = ?$
$E - E' cross$
$E = h(v)$
$d = x - x'$
(b) The distance between the centroidal axis and the neutral axis of the E-E' normal cross-
section. (6 points)