What is the strain on a cantilever beam under perpendicular force?

[buzzz]

Hey everyone, I'm having some trouble with my material science homework. I really have no idea where to begin:

Consider a piece of beam of 1 cm in length with one end fixed on
a wall and the other end free (see illustration below). If you bend the beam by
applying a force at the free end that is perpendicular to the beam, it bends by about
0.5 degree.
a. How large is the strain?
b. What is the displacement at the end and in the middle of the
beam?
c. Is the strain at the free end the same as that in the middle of the
beam?
d. Do you expect the beam to get longer if you bend it further but
still elastically?

 

[member 553083]

a. The strain is 0.0005 radians (or 0.028 degrees). b. The displacement at the end of the beam is 0.5 degrees and the displacement in the middle of the beam is 0.25 degrees. c. No, the strain at the free end will be greater than that in the middle of the beam. d. Yes, the beam will get longer if you bend it further but still elastically.