1. For the figure below left: Determine the forces in the rods A and B.
2. For the framework above right, make a cut and determine the forces in rods DC, EC and EB. Show whether they are tensile or compressive forces. All reaction forces at the supports have already been calculated and are indicated on the diagram.
3. Consider the cantilever beam with the point load, as shown below left. Determine the shear force V(x) and bending moment M(x) functions for the beam. Then sketch the V and M graphs.
4. The differential equation for the elastic curve of the beam above right is
Y'' (X) = 5/EI x, 0 ≤ x ≤ 2.
(a) Determine the equation for the slope of the beam.
(b) Use the condition y(0) = 0 and give the elastic equation y(x) for the left half of the beam. Now determine the maximum deflection of this beam.
5. Consider the cantilever beam with the point load, as shown below left. Determine the shear force V(x) and bending moment M(x) functions for the beam.
6. The differential equation for the elastic curve of the beam above right is
y'' (x) = 5/EI x, 0 ≤ x ≤ 2.
Determine the equation for the elastic equation y(x) for the left half of the beam.
