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Calculation of deflection of truss using Abaqus software and Analytical Solution

In this example, we intend to calculate deflection of the Truss using the Abaqus software and Analytical Solution

The purpose of simulating this problem is to calculate the deflection of point B using the Abaqus software and then compare the results obtained from the Abaqus software with those of Analytical Solution

As you observe in the picture, a 20000-Pound force is applied to point B

Analytical Solution

First we should calculate the Reaction Forces at point A and D. and the reaction forces at point A and B is equal to 10000 Pounds. In the next step, we need to make a cut on the truss and the cut should be in such a way that it cuts the AB and AC members. Then, we should draw the forces having been applied to the slashed sample. Here, the purpose is to calculate the F(ab) and F(ac) and we can calculate F(ab) by writing the equilibrium of force directed at Y axis and F(ab) is equal to 26000 Pounds. After that, we should write equilibrium of force directed at X axis and doing so, F(ac) will be obtained and it is equal to 24000 Pounds

Following that, we should calculate the Strain Energy of the whole truss. To do so, we’ll only need to calculate the strain energy of each member of the truss and then add them all up together. In this manner, the strain energy of the whole truss will be gained

Deflection of point B obtained from the Analytical Solution is equal to 0.06496 in

Deflection of point B obtained from the Abaqus software is equal to 0.06496 in

As you observe, the results obtained from the Abaqus software are so close to those gained from the Analytical Solution

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