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Lecture # 4

Lecture # 4. S T R A I N. Objective:. In engineering, the deformation of a body is specified using the concept of normal and shear strain. In this lecture, we will define these quantities and show how they can be determined for various types of problems. Normal Strain:. Shear Strain:.

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Lecture # 4

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  1. Lecture # 4 S T R A I N Objective: In engineering, the deformation of a body is specified using the concept of normal and shear strain. In this lecture, we will define these quantities and show how they can be determined for various types of problems.

  2. Normal Strain:

  3. Shear Strain:

  4. Example: The slender rod shown in figure is subjected to an increase of temperature along its axis, which creates a normal strain in the rod of z = 40(10-3)z1/2 , where z is in given meters. Determine (a) the displacement of the end B of the rod due to the temperature increase, and (b) the average normal strain in the rod.

  5. Solution: Part (a).

  6. Part (b).

  7. Example: A force acting on the grip of the lever arm shown in the figure causes the arm to rotate clockwise through an angle of  = 0.002 rad. Determine the average normal strain developed in the wire BC.

  8. Solution:

  9. Example: The plate is deformed into the dashed shape. If in this deformed shape horizontal lines on the plate remain horizontal and do not change their length, determine (a) the average normal strain along the side AB, and (b) the average shear strain in the plate relative to the x and y axes.

  10. Solution: Part (a).

  11. Part (b).

  12. Thankyou

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