Question

The rectangular plate is subjected to the deformation shown by the dashed line. Assume a = 750 mm, ∆x = 1.4 mm, and ∆y = 1.5 mm. Determine the shear strains γxy and γx’y’ at point A.

Answer 1

To calculate the shear strains at point A, we use the equation for shear strain and substitute the given values. The shear strain γx’y’ is the same as γxy.

Step-by-step explanation:

To determine the shear strains γxy and γx’y’ at point A, we need to use the equation for shear strain:

γxy = Δx / a

Substituting the given values, we have:

γxy = 1.4 mm / 750 mm = 0.0018667

Since the deformation is shown by the dashed line, the shear strain γx’y’ at point A is the same as γxy,

γx’y’ = 0.0018667.