in
as
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PROBLEM 6.7-12
6.7-13 A cantilever beam with a rectangular cross
seeon (width b = 20 mm, height h = 175 mm) is
loaded by a force P that acts at the mid-height of the
beam and is inclined at an angle a to the vertical (see
figure). Two strain gages are placed at point C, which
also is at the mid-height of the beam. Gage A mea-
sures the strain in the horizontal direction, and gage
B measures the strain at an angle ß = 60° to the hor-
izontal. The measured strains are &₁ = 145 × 10-6
and & = -165 × 10-6.
A
B
Determine the force P and the angle a, assuming
the material is steel with E
200 GPa and v = 1/3.
=
