Question

Q.2(30pts) The rectangular plate is deformed into the shape of a parallelogram shown by the dashed lines. Determine the average shear strain Yxy at corners A and B. בחובו (accuracy:3 decimal places.) 300 mm ---- 75 mm - 400 mm

Answer 1

4, 5mm в 20 tanda = 55 tanda = 5 the shear stain 8 such instances, In most practical cases, is a small angle, and in tan 8=8 Ins = 0.0125 25mm 400mm 5mm 0.0166 = - 300 mm - A = PA Total shear strain at 8= 8 + 82 P = 0.0291

BB = 5 mm DD = 5mm AD=300mm AB=400mm ob enint B

- At point A, the included angle decreases. At point B, the included angle increases. 1% = -0.0291 radians | IPA = + 0.0291 radians

At point A, the included angle between the faces AD' and AB' decreases. At point B, the included angle between the faces AB' and B'C' increases.

As per convention, shear strain is positive when the included angle decreases and shear strain is negative when the included angle increases.