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The rectangular plate is deformed into the shape shown by the dashed lines. Suppose that a= 240 mm and b= 320 mm A) Determine the average normal strain along diagonal AC B) Determine the aveage shear strain at corner A relative to the x,y axes

The rectangular plate is deformed into the shape shown by the dashed lines. Suppose that a= 240 mm and b= 320 mm A) Determine the average normal strain along diagonal AC B) Determine the aveage shear strain at corner A relative to the x,y axes

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The rectangular plate is deformed into the shape shown by the dashed lines. Suppose that a= 240 mm and b= 320 mm

A) Determine the average normal strain along diagonal AC

B) Determine the aveage shear strain at corner A relative to the x,y axes

 

The image depicts a geometric diagram featuring a quadrilateral within a coordinate plane, specifically placed in the first quadrant. This figure represents a rectangle labeled with points A, B, C, and D in a counter-clockwise direction. ### Description: - **Axes**: - The horizontal axis is labeled as the x-axis. - The vertical axis is labeled as the y-axis. - **Rectangle Details**: - The rectangle has vertices labeled \( A, B, C, \) and \( D \). - \( AB \) and \( CD \) are horizontal sides along the x-axis. - \( AD \) and \( BC \) are vertical sides parallel to the y-axis. - **Measurements**: - The horizontal distance labeled as \( b \) extends between vertical lines at points A, B, C, and D. - There is a vertical distance labeled \( a \) measured from the x-axis up to point A. - The diagram features several other measurements: - A vertical line segment from point A to the bottom of the rectangle measures \( 2 \, \text{mm} \). - The horizontal gap between the origin and point A is \( 3 \, \text{mm} \). - There is a horizontal line segment on top ranging from an extension of D to the right which measures \( 6 \, \text{mm} \). - There is also a vertical measurement \( 6 \, \text{mm} \) extending upwards from point C. - Another vertical measurement from point B to the x-axis is \( 2 \, \text{mm} \). - An additional horizontal component to the left of point D measures \( 2 \, \text{mm} \). This configuration demonstrates the alignment and measurement considerations for positioning and sizing the rectangle within the coordinate system.
Transcribed Image Text:The image depicts a geometric diagram featuring a quadrilateral within a coordinate plane, specifically placed in the first quadrant. This figure represents a rectangle labeled with points A, B, C, and D in a counter-clockwise direction. ### Description: - **Axes**: - The horizontal axis is labeled as the x-axis. - The vertical axis is labeled as the y-axis. - **Rectangle Details**: - The rectangle has vertices labeled \( A, B, C, \) and \( D \). - \( AB \) and \( CD \) are horizontal sides along the x-axis. - \( AD \) and \( BC \) are vertical sides parallel to the y-axis. - **Measurements**: - The horizontal distance labeled as \( b \) extends between vertical lines at points A, B, C, and D. - There is a vertical distance labeled \( a \) measured from the x-axis up to point A. - The diagram features several other measurements: - A vertical line segment from point A to the bottom of the rectangle measures \( 2 \, \text{mm} \). - The horizontal gap between the origin and point A is \( 3 \, \text{mm} \). - There is a horizontal line segment on top ranging from an extension of D to the right which measures \( 6 \, \text{mm} \). - There is also a vertical measurement \( 6 \, \text{mm} \) extending upwards from point C. - Another vertical measurement from point B to the x-axis is \( 2 \, \text{mm} \). - An additional horizontal component to the left of point D measures \( 2 \, \text{mm} \). This configuration demonstrates the alignment and measurement considerations for positioning and sizing the rectangle within the coordinate system.
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