The beam shown below is supported over a length of 100 m and subjected to a 5 kN point load (at an angle of 35°) that is located 25 m from the left support. Additionally, the beam is subjected to a 25 kN·m moment in the center and a distributed load over a total length of 30 m (toward the right end); the exact load profile can be seen in the figure below.
100 m
25 m
25 m
20 m
15 m
15 m
20 kN/m
10 kN/m
5 kN
35°
25 kN·m
a) Calculate the magnitude and position of the resultant force of the distributed load only.
b) Determine magnitude and direction of the reaction forces in both the left and the right support.
c) If the roller support on the right is swapped with the pin support on the left, does the system remain statically determinate or become statically indeterminate? Why?
d) Determine the shear force and bending moment at a distance of 60 m from the left support.
e) Determine the shear force and bending moment at a distance of 85 m from the left support.
f) Draw the shear force diagram of the entire beam.