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(Solved): 6 Deformable rods BD and CF are attached to a rigid rod ABC as shown. Rod BD is made of steel ( E_(s ...
6 Deformable rods
BDand
CFare attached to a rigid rod
ABCas shown. Rod
BDis made of steel (
E_(st)=200GPa) and has an uniform
27\times 3.9mm^(2)cross section. Rod CF is made of aluminum (
E_(al)=70GPa) and has an uniform
23\times 3.8mm^(2)cross section. If a load
P=11kNwere applied at
A, determine the deflection at
A. Forces (and no moments) are acting 2 pts. for members
BDand
GF, and therefore
BDand
CFare
2Fmembers. 2)FBD of
ABC(remaining structural component) has two unknowns and is therefore can be used to determine axial forces in member
BDand
CFFBD (with
P_(BD)and PCF marked (T)) Equilib. Equations
\Sigma M_(B)=0->11\times 125-PCF\times 225=0->PCF=6.11(kN)(T)
\Sigma F_(Y)=0->P_(BD)=11+PCF=17.11(kN)(T)Deflection at
Bis given as
\delta _(B)=
◻
◻) and deflection at
Cis given as
6C=
◻
◻