For the truss structure shown in Figure, members AB and AC have rectangular cross sections made of the same material. Assume the elastic modulus is
E=200GPa
. The allowable normal stresses are both
\sigma _(allow )=50MPa
. The permissible vertical displacement at joint
A
is
\delta =0.05mm
. From the viewpoints of stability, strength, and displacement, determine the maximum allowable load
P
that this structure can carry.

Question

For the truss structure shown in Figure, members AB and AC have rectangular cross sections made of the same material. Assume the elastic modulus is

E=200GPa

. The allowable normal stresses are both

\sigma _(allow )=50MPa

. The permissible vertical displacement at joint

A

is

\delta =0.05mm

. From the viewpoints of stability, strength, and displacement, determine the maximum allowable load

P

that this structure can carry.

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