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sm11 34

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PROBLEM (11.34) The jib crane of Fig. P11.34a is constructed of a 35-mm-diameter rod
BC and a steel tube AB. The approximate stress-strain curve for both members is shown in
P11.34b. Determine the value of W at which failure occurs.
Given: The steel tube has the following properties:
A = 400 mm2 , I = 8x10 3 mm 4 , E = 200 GPa.
SOLUTION
FBC = 2W
C
FAB = W
Rod
d=35 m
1
Rod BC
1
45o
2.5 m
A
B
W
π
2W = 5 × 106 ( × 0.0352 ) = 4,811
4
or
W = 3.4 kN
Bar AB
Py = 8 × 106 (400 ×10−6 ) = 3.2 kN
W = Pcr =
π 2 (200 ×109 )(8 × 10−9 )
(2.5) 2
= 2.53 kN
and
2530
= 6.325 MPa < 8 MPa
400 ×10−6
Conclusion: bar AB fails as a column, and Wall = 2.53 kN
σ cr =
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