Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

ExERcISES
m5.5 A composite axial structure consists of two rods joined
at flange B. Rods (1) and (2) are attached to rigid supports at A
and C, respectively. A concentrated load P is applied to flange B
in the direction shown. Determine the internal forces and normal
stresses in each rod. Also, determine the deflection of flange B in
the x direction.
m5.7 Determine the internal forces and normal stresses in bars
(1) and (2). Also, determine the deflection of the rigid bar in the x
direction at C.
FIGURE m5.5
m5.6 A composite axial structure consists of a tubular shell (1)
bonded to length AB of a continuous solid rod that extends from A
to C. The rod is labeled (2) and (3). A concentrated load P is applied
to the free end C of the rod in the direction shown. Determine
the internal forces and normal stresses in shell (1) and core (2)
(i.e., between A and B). Also, determine the deflection in the x
direction of end C relative to support A.
FIGURE m5.7
m5.8 Determine the internal forces and normal stresses in bars
(1) and (2). Also, determine the deflection of the rigid bar in the x
direction at C.
FIGURE m5.6
pRoBLEmS
FIGURE m5.8
p5.23 A load P is supported by a structure consisting of rigid
bar ABC, two identical solid aluminum alloy [E = 73 GPa] rods (1),
and a solid bronze [E = 105 GPa] rod (2), as shown in Figure P5.23.
The aluminum rods (1) each have a diameter of 12 mm and a
length L 1 = 2.3 m. They are symmetrically positioned relative to
middle rod (2) and the applied load P. Bronze rod (2) has a diameter
of 18 mm and a length L 2 = 1.6 m. If all bars are unstressed
before the load P is applied, determine the normal stresses in the
aluminum and bronze rods after a load P = 50 kN is applied to the
rigid bar.
L 1
A
P B (2)
L 2
C
FIGURE p5.23
(1)
(1)
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