Strain in Different Directions: Understanding Tensile Forces on Cubes

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When a tensile force is applied in the x direction to a cube, it is expected that the cube will decrease in size in the y and z directions. The strain in the x direction is represented by the equation εx = σx / E, where σx is the normal stress in the x direction. There is confusion regarding the use of σy in the strain equation, leading to a debate about its correctness. The discussion highlights significant errors in the textbook, which contains typos in key equations, undermining its reliability. Overall, the accuracy of the strain equations and the quality of the textbook are central concerns in this discussion.
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Homework Statement


the tensile force is applied at x direction to the cube , the cube will decrease in size in y and z direction , right ?
according to notes,
the strain in x direction εx = σxy/ E , where σy = normal stress in y direction , [/B]

Homework Equations

The Attempt at a Solution


Which is correct ? I think the εx = σx / E make sense , so i think it's correct , because the force is applied in x direction .
Correct me if i am wrong
 

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Get rid of this horrible book. There are typos in 2 out of the 3 equations it presents on just this single page. I will no longer answer any questions about the information in this book.
 
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