Answer Happy

As shown below in the figure, a bracket with a solid circular
cross-section of radius r =
67 mm is inserted into a
frictionless sleeve (slightly larger than the bracket)
at A and is also supported by a pin
at C. The sleeve
at A allows free rotation of the bracket
with respect
to zo axis
and also freely translate about the same axis. The bracket has two
arms, namely arm AB of
length b = 0.75 m and
arm BC of length a = 0.40
m. Moments M₁ = 1.6
kN.m and M₂=1.91 kN.m are
applied at the point C.
1. calculate the maximum tensile stress along with the location
and direction.
2. calculate the maximum compressive stress along with the
location and direction.
3. calculate at point p(see cross section
and the figure) on the cross-section at A the maximum in-plane
shear stress.
4. also identify the point where absolute maximum shear stress
takes place and calculate the same with the direction.
yo b Frictionless sleeve embedded in support P P Хо B YO 20 M2 a P M O Xo r Cross section at A