Question

Consider an isotropic block that is 1 x 1 x 1.002 meters in size. The 1.002 is in the z-direction. The block has E=80 GPa and υ=0.25. It is placed into a 1 x 1 x 1 hole in a rigid foundation so that the 1.002 meter size sticks out 0.002 meters. What is the total force required to push down in the zdirection so that the block z-face becomes flush with the hole?

Hints on Number 2: Note that you know all normal strains: the x and y values are zero and the z value is -0.002/1.002. You also can see that the normal stresses in x and y are the same. These two factors will simplify things.

Need -191.62 MN to close the gap

2. Consider an isotropic block that is 1 x 1 x 1.002 meters in size. The 1.002 is in the z-direction. The block has E-80 GPa and u 0.25. It is placed into a1x1x1 hole in a rigid foundation so that the 1.002 meter size sticks out 0.002 meters. What is the total force required to push down in the z- direction so that the block z-face becomes flush with the hole? Hints on Number 2: Note that you know all normal strains: the x and y values are zero and the z value is -0.002/1.002. You also can see that the normal stresses in x and y are the same. These two factors will simplify things

Answer 1

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