Question

determine the orientation of the element that produces the maximum in-plane shear strain. give your answer as two angular rotations of less than 90 degrees, the first positive (counterclockwise), the second negative (clockwise). express your answers in degrees to three significant figures separated by a comma.

Answer 1

The element that produces the maximum in-plane shear strain is oriented at 45 degrees from the principal stress direction, expressed as two rotations of +45.0 degrees counterclockwise and -45.0 degrees clockwise.

Step-by-step explanation:

Ratio n would be 45.0 degrees, and the negative clockwise rotation would also be 45.0 degrees.To determine the orientation of the element that produces the maximum in-plane shear strain, we can use the fact that this occurs at an angle of 45 degrees to the principal stresses.

The question specifies that we should express the angles as one positive (counterclockwise) and one negative (clockwise), both of which must be less than 90 degrees. Since the maximum shear strain is oriented at ±45 degrees from the principal planes, our answers in degrees to three significant figures would be +45.0 degrees and -45.0 degrees, represented as 45.0, -45.0.

In summary, the maximum in-plane shear occurs at an orientation 45 degrees from the normal stress directions. To answer as two angular rotations, the positive counterclockwise.