A thin rubber membrane is stretched in such a manner that the following uniform strain field is produced: Exx=2500 microstrain, Eyy=-3000 microstrain, Gamma(XY)=1000 microstrain

A rectangle is drawn on the membrane before stretching. How should the rectangle be oriented if the angles are to remain 90 degrees during stretching?

 

Transcribed Image Text:

astangle is drawn on the membrane before stretching. How should the rectangle be oriented if the angles are to remain 90° during stretching? ai 4 thin rectangular aluminum (E = 71 GPa and v = 0.33) plate 150 by 200 mm is acted upon by a two-dimensional stress distribution which produces the following uniform distribution of strains in the plate: Exx = 2,000 µɛ Eyy = - 500 uɛ Ysy = 2,000 ue (a) Determine the changes in length of the diagonals of the plate. (b) Determine the maximum shearing strain in the plate. Prepare a sketch of two initially perpendicular lines in the plate associated with this maximum shearing strain. astangle is drawn on the membrane before stretching. How should the rectangle be oriented if the angles are to remain 90° during stretching? ai 4 thin rectangular aluminum (E = 71 GPa and v = 0.33) plate 150 by 200 mm is acted upon by a two-dimensional stress distribution which produces the following uniform distribution of strains in the plate: Exx = 2,000 µɛ Eyy = - 500 uɛ Ysy = 2,000 ue (a) Determine the changes in length of the diagonals of the plate. (b) Determine the maximum shearing strain in the plate. Prepare a sketch of two initially perpendicular lines in the plate associated with this maximum shearing strain.