Rigid beam BDH is supported by the four rods shown,
and loaded by single force F.
All
dimen-
sions
are in
meters.
1.0
-1.0--1.0--1.0-
B
D
F
G
1.25
Neglect
the
weights
of the
members.
Rod AB: brass, $E_{br} = 100 \text{ GPa}$, $d_{AB} = 5 \text{ mm}$
Rod BC: brass, $E_{br} = 100 \text{ GPa}$, $d_{BC} = 3 \text{ mm}$
Rod DE: steel, $E_{st} = 200 \text{ GPa}$, $d_{DE} = 5 \text{ mm}$
Rod GH: Steel core with aluminum jacket;
$E_{st} = 200 \text{ GPa}$, $E_{al} = 70 \text{ GPa}$,
$d_{st} = 5 \text{ mm}$, $d_{al} = 10 \text{ mm}$.
Find the stresses in all the rods.
(For rod GH, find the stresses in both
the steel and the aluminum component
*(all stresses will be expressed in terms of the
unspecified force F.)
