Problem 4: Bending Stress Calculation (30 pts)
1. Determine the reactions at pin A and roller B, knowing that the distributed load is
equal to C which is the sum of your ID number (C = sum ID) (1.5pts)
2. Draw the V and M diagrams and determine the location and magnitude of the
maximum moment.. (5 pts)
3. Determine the centroid ($\bar{x}$ and $\bar{y}$) of the beam, knowing that H = (sum ID x 10).
The origin of the axis (0,0) should be taken at the bottom left of your the cross
section. No points will be given if you choose a different origin (3 pts)
4. Determine the moment of inertia about the x-axis $I_{xc}$ (5 pts)
5. Consequently determine the maximum bending stress at the top $\sigma_{bending\_top}$, the
maximum bending stress at the bottom $\sigma_{bending\_top}$ and the maximum bending stress
at point Z located at x = 100 mm and y = 250 mm of the cross section. (4 pts)
6. If the beam is formed of steel and the maximum bending stress that it can handle is
250 MPa. Will the beam fail? (1.5 pts)
A
C (kN/m)
10 m
Figure 1: Side View of the Beam
100 mm
H mm
100 mm
200 mm
Figure 2: Cross Section of the Beam
I
B
