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## Main Question or Discussion Point

I have a couple of questions about the stress tensor. I am not an engineering student, so this is the first time I have dealt with internal forces, stress, shears, and such.

It is my understanding that the entries in the stress tensor are forces per unit area. I assume this means the

Say you press the two flat ends towards each other, i.e, exert a force F on the left surface and -F on the right, such that the cylinder does not move. Is the T_xx entry in the stress tensor then zero for any point inside the cylinder, since the surface forces should cancel so that the point remains stationary?

In other words, if I have an object that experiences only surface forces, no body forces, should the stress tensor have all zeros along the diagonal?

It is my understanding that the entries in the stress tensor are forces per unit area. I assume this means the

*total*force per unit area. Considering the case of a cylinder with axis along the x axis...Say you press the two flat ends towards each other, i.e, exert a force F on the left surface and -F on the right, such that the cylinder does not move. Is the T_xx entry in the stress tensor then zero for any point inside the cylinder, since the surface forces should cancel so that the point remains stationary?

In other words, if I have an object that experiences only surface forces, no body forces, should the stress tensor have all zeros along the diagonal?