S 1 A concentrated load is applied at the midpoint B of a cantilever beam OA...

  

Transcribed Image Text:

S 1 A concentrated load is applied at the midpoint B of a cantilever beam OA as is shown in Figure 1. The length OA is equal to Lo while the magnitude of the load is F. 1) Solve the reaction at the fixed end O 2) Cut the beam at an arbitrary point, at a distance x from the fixed end O, and analyze the internal forces at the section for the cases x > Lo/2 and x < Lo/2. 3) Draw bending moment and shear diagram for F = 10N and Lo = 1m 4) Without free body diagrams, show that the shear force diagram is piecewise constant and the bending moment diagram is piecewise linear using the relation among load, shear and bending moment 5) Compare the bending moment and shear diagram with your qualitative analysis 0 Lo F B A k transfer S 1 A concentrated load is applied at the midpoint B of a cantilever beam OA as is shown in Figure 1. The length OA is equal to Lo while the magnitude of the load is F. 1) Solve the reaction at the fixed end O 2) Cut the beam at an arbitrary point, at a distance x from the fixed end O, and analyze the internal forces at the section for the cases x > Lo/2 and x < Lo/2. 3) Draw bending moment and shear diagram for F = 10N and Lo = 1m 4) Without free body diagrams, show that the shear force diagram is piecewise constant and the bending moment diagram is piecewise linear using the relation among load, shear and bending moment 5) Compare the bending moment and shear diagram with your qualitative analysis 0 Lo F B A k transfer