**Exercise 1:**

**Question 1**

For the compound cross-section shown in Figure 1a, determine the position of the Centroidwith respect to the origin of the coordinate system shown in Figure 1a.

** Q2** For the compound cross-section shown in Figure 1b, calculate the Second

Moment of Area of this cross-section about its horizontal axis X-X passing through the Centroid (xC, yC) determined in Q1 above.

**Exercise 2:**

**Q3** Calculate the reactions at supports for the simply supported beam subjected to the system of point forces shown in Figure 2.

**Exercise 3:**

Q4 For the simply supported beam shown in Figure 3, calculate the reactions at supports.

**Q5** For the simply supported beam shown in Figure 3, calculate the Axial Force (N) in the beam at the sections A, C, D, E, and B shown in this figure.

**Q6** Plot the Axial Force (N) diagram by using the results obtained in Q5 above.

**Q7** For the simply supported beam shown in Figure 3, calculate the Shear Force (V) in the beam at the sections A, C, D, E, and B shown in this figure.

**Q8** Plot the Shear Force (V) diagram by using the results obtained in Q7 above.

**Q9** For the simply supported beam shown in Figure 3, calculate the Bending Moment (M) in the beam at the sections A, C, D, E, and B shown in this figure.

**Q10** Plot the Bending Moment (M) diagram by using the results obtained in Q9 above.

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