Question

Determine the location yˉ​ of the centroidal axis xˉ−xˉ of the beam's cross-sectional area. Neglect the size of the corner welds at A and B for the calculation.

Answer 1

The location of the centroidal axis of the beam's cross-sectional area is at (12.73 cm, 3.15 cm).

Step-by-step explanation:

To determine the location of the centroidal axis of the beam's cross-sectional area, we need to calculate the scalar components of the resultant forces. Let's denote the components as Rx and Ry. For this calculation, we can use Equation 2.25, which states:

[ Rx = Ax + Bx + Cx ] and [ Ry = Ay + By + Cy ]

By substituting the given values, we find that Rx = 12.73 cm and Ry = 3.15 cm. Therefore, the location of the centroidal axis of the beam's cross-sectional area is at (12.73 cm, 3.15 cm).