Rod 10

Stresses and Strains... Physics...Total Elongation....Engineering?

A steel rod 10 ft long is madof two 5 ft lengths, one 3/4 in. in diameter and the other 1/2 in. in diameter. How much will the bar elongate to an axial tensile load of 5000lb?

I know the answer is 0.0735 total elongation.

I don't know how to work this problem to get that answer. Somebody help me out.

Strain = PL/AE

P=5000 lb
A1 (3/4") = 0.4418 in^2
A2 (1/2") = 0.1964 in^2
L1 = 60"
L2 = 60"
E = 30x10^6

Strain = (5000)x60/(0.4418)x30X10^6 + (5000)x60/(0.1964)x 30X10^6

Strain = 0.07355"

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