250 lb 22,5 Ib/ft B IA 5.0 ft -3.0 ft- |0.617 in. z- C 12.269 in.
A cantilever beam AB, loaded by a uniform
load and a concentrated load (see figure), is constructed
of a channel section.
(a) Find the maximum tensile stress σt and maximum
compressive stress σc if the cross section
has the dimensions indicated and the moment
of inertia about the z axis (the neutral axis) is
I = 3.36 in4. Note: The uniform load represents
the weight of the beam.
(b) Find the maximum value of the concentrated
load if the maximum tensile stress cannot exceed
4 ksi and the maximum compressive stress is
limited to 14.5 ksi.
(c) How far from A can load P = 250 lb be positioned
if the maximum tensile stress cannot
exceed 4 ksi and the maximum compressive
stress is limited to 14.5 ksi?
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