A steel rod circular in section, tapers from 3 cm diameter to 1.5 cm diameter in a length of 60 cm.Find how much its length will increase under a tensile force 22 kN. Take E = 2 x 10⁵ N/ mm²

The Hand calculated taper Rod deflection is 0.186 mm. We will follow the solution using Simulation Package. The Material Properties introduced in the software.

Create a Geometry to build in the software for given Dimensions:

Fig (1) 3D model of Taper Rod

Fig (2) Material Properties involved in the calculation

Boundary conditions involved as per theoretical conditions involved in the same.

Fig (3) Fixing at the larger end

For solid we can arrest the three Translation x, y, z and rotation of Three components will be eliminated.

Fig (4) Fixing at the smaller end

Tensile Load on the smaller end with the load of 22kN. 

Conclusion: 

We have compared the result of Taper rod subjected to tensile load using hand calculation and Solid works simulation.  Solid works simulation is giving us most accurate result compared to theoretical value.