Problem of load sharing in the composite member Assignment Help

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Problem of load sharing in the composite member:

Now, let us solve the problem of load sharing in the composite member illustrated in Figure 23. Here, we have

P = 60 kN

L = 400 mm

A1 = (π/4) × 502 = 1963.5 mm2

A2 = (π/4) × (902 - 502) = 4398.23 mm2

A3 =( π/4) × (1202 - 902) = 4948 mm2

Elastic moduli for the materials, as copper, aluminium and steel might be taken as 120 kN/mm² , 80 kN/mm², & 200 kN/mm² respectively.

 m1 =   E2 / E1  =120/ 80 = 1.5

m2 = E3 / E1 =200/ 80 = 2.5

Putting these values in Eq.),

1645_Problem of load sharing in the composite member.png

= 5.6285 kN

Now, by using Eq. (10),

P2 = (5.62852/ 1963.5) × 1.5 × 4398.23 = 18.912 kN

P3 = (5.62852/ 1963.5 ) × 2.5 × 4948 = 35.4595 kN

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