Benchmark from MacNeal (1985)

In this document we compare results produced by Ashes to results published in the paper by Macneal et al. (1985) , who propose different static tests on cantilever beams to verify Finite Element code. The models proposed are created in Ashes, and a dynamic simulation is performed. If the displacement of the tip of the beam at the end of the simulation match the values of  Macneal et al. (1985) , the tests are considered passed. 

Table 3 from  Macneal et al. (1985) , which contains the theoretical results used in this benchmark, is reproduced here:

Load case Displacement in the direction of the load [m]
Straight beam Curved beam Twisted beam
Extension
$$3.0\cdot10^{-5}$$

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In-plane shear
$$0.1081$$
$$0.08734$$

$$0.005424$$
Out-of-plane shear
$$0.4321$$
$$0.5022$$

$$0.001754$$
Twist
$$0.03208$$

- -

The details of each benchmark are given in the following sections: