The solid body shown in fig. 1 is deformed by an external force. Point B on...

 

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The solid body shown in fig. 1 is deformed by an external force. Point B on the body is deformed to a new position B' located at coordinates (3.003 m, 2.0015 m). Assume that the displacement field within the body is described by u(z,y) = cry v(x,y) = cry, where z and y are the coordinates in the undeformed configuration. (a) Determine whether the strain field is possible. (b) Find the constants c and c. (e) Determine the strain components &, Ey, and ay at point B'. (d) Calculate the principal strains at point B'. y 2m 10 3 m Figure 1 X The solid body shown in fig. 1 is deformed by an external force. Point B on the body is deformed to a new position B' located at coordinates (3.003 m, 2.0015 m). Assume that the displacement field within the body is described by u(z,y) = cry v(x,y) = cry, where z and y are the coordinates in the undeformed configuration. (a) Determine whether the strain field is possible. (b) Find the constants c and c. (e) Determine the strain components &, Ey, and ay at point B'. (d) Calculate the principal strains at point B'. y 2m 10 3 m Figure 1 X