How Is Displacement Calculated in a Shear Strain Scenario?

AI Thread Summary
The discussion focuses on calculating shear strain and displacement for a square steel plate subjected to a force on all sides. The shear strain was calculated as 2.4*10^-2, but there is confusion regarding the displacement calculation. Participants are seeking clarification on the relationship between strain, displacement, and the initial length of the plate. The formula dL/L is referenced, indicating the need to understand how displacement relates to the applied force and dimensions. Overall, the thread highlights the challenges in applying theoretical concepts to practical scenarios in mechanics.
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Homework Statement



A square steel plate is 10.0cm on a side and 0.500cm thick.

Find the shear strain that results if a force of magnitude 9.0*10^5 is applied to each of the four sides, parallel to the side.

I found the shear strain to be 2.4*10^-2

Find the displacement x in centimeters.

Homework Equations



dL/L

The Attempt at a Solution



I know that strain is displacement over length... But, is that what it's asking? Where would it be displaced if all of the sides take the pressure? And what would the initial length be?
 
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I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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