MecMovies 4.0 : M2.2: Normal Strain in Pinned Rod Assembly

scene 5 of 6

The figure shows a vertical bar A B C which is pinned at B and supported by horizontal rods at A and C. The length of the segments A B and B C are 400 millimeters and 520 millimeters respectively. The rod at C is of length 2000 millimeters and the rod at A is of length 1250 millimeters. A load P directed to the right acts on the bar between B and C. The rod at A is compressed by 1.4 millimeters and the rod at C is stretched by 1.82 millimeters.

From the definition of normal strain,

$ε = \frac{δ}{L}$

the normal strain in rod $(2)$ can now be computed:

$ε_{2} = \frac{δ_{2}}{L_{2}} = \frac{- 1.40 mm}{1, 250 mm} = - 0.00112 mm / mm = - 1, 120 με$

Finished