**Shear Strain Calculation in a Uniformly Deformed Rectangular Plate****Problem Statement:**A thin rectangular plate is uniformly deformed, as shown in the diagram. Determine the shear strain \( \gamma_{xy} \) at point P. Assume:- \( a = 20 \text{ in.} \)- \( b = 27 \text{ in.} \)- \( c = 0.13 \text{ in.} \)- \( d = 0.14 \text{ in.} \)**Diagram Description:**The diagram illustrates a rectangular plate deformed into a parallelogram:- The undistorted plate is represented by a light-colored rectangle with vertices labeled P, Q, R, and S.- The deformed plate is shown as a darker parallelogram with dashed edges parallel to the original rectangle.- The dimensions of the plate are as follows: - \( a \) is the horizontal distance from P to Q, measured along the x-axis (20 inches). - \( b \) is the vertical distance from P to R, measured along the y-axis (27 inches). - \( c \) is the horizontal displacement at the top-right corner S from its original position (0.13 inches). - \( d \) is the vertical displacement at point R from its original position (0.14 inches).- Axes: - The x-axis is horizontal. - The y-axis is vertical.**Calculated Solution:**\[ \gamma_{xy} = 11.7 \; \mu\text{rad} \]This problem demonstrates the calculation of shear strain for a uniformly deformed plate by using specified displacements to establish strain at a given point. The final result provides the shear strain at point P in micro-radians (\( \mu\text{rad} \)).

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Answered: A thin rectangular plate is uniformly,…