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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

BD

and

CF

are attached to a rigid rod

ABC

as shown. Rod

BD

is made of steel (

E_(st)=200

GPa) and has an uniform

27\times 3.9mm^(2)

cross section. Rod CF is made of aluminum (

E_(al)=70

GPa) and has an uniform

23\times 3.8mm^(2)

cross section. If a load

P=11kN

were applied at

A

, determine the deflection at

A

. Forces (and no moments) are acting 2 pts. for members

BD

and

GF

, and therefore

BD

and

CF

are

2F

members. 2)FBD of

ABC

(remaining structural component) has two unknowns and is therefore can be used to determine axial forces in member

BD

and

CF

FBD (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

B

is given as

\delta _(B)=

) and deflection at

C

is given as

6C=



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