A cantilever beam of rectangular cross section (width 6 = 25 mm, height h = 100 mm) is oaded by a force P that acts at the mid-height of the beam and is inclined at an angle a to the rertical (see figure 2). Two strain gages (instruments that measure strain along their orientation) are placed at point C, which also is at the mid-height of the beam. Gage A neasures the strain in the horizontal direction and gage B measures the strain at an angle 3 = 45°to the horizontal. The measured strains are ɛ,=125×10 and &, =-375×10 Determine the force P and the angle a , assuming the material is steel with E = 200 GPa and v =1/3.
A cantilever beam of rectangular cross section (width 6 = 25 mm, height h = 100 mm) is oaded by a force P that acts at the mid-height of the beam and is inclined at an angle a to the rertical (see figure 2). Two strain gages (instruments that measure strain along their orientation) are placed at point C, which also is at the mid-height of the beam. Gage A neasures the strain in the horizontal direction and gage B measures the strain at an angle 3 = 45°to the horizontal. The measured strains are ɛ,=125×10 and &, =-375×10 Determine the force P and the angle a , assuming the material is steel with E = 200 GPa and v =1/3.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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