solution

1. Statically Determinate Axially-loaded Bar with Concentrated Force

The right section of the given rod is subjected to a linearly varying body force of w = (7x) kN/m and a concentrated force PC = 8 kN at point C. No distributed forces act on the left half of the rod. The rod has a cross sectional area of A = 6 cm2 and is made of aluminum with E = 70 GPa.

WE(7 kn/m) x p.8.0 kn 2 m 3m +x

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(a) Find and plot the distribution of axial force f(x) (tension positive).

(b) Find and plot the distribution of normal stress s(x).

(c) Find and plot the distribution of axial strain e(x).

(d) Find and plot the distribution of axial displacement u(x)

(e) Find length change, d.

 
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