CmCULAH CYLINDEES UNDER CERTAIN PRACTICAL SYSTEMS OF LOAD. 205 
In the above the values of 22 for an additional value of r (viz., r = 5a/()) have been 
computed in order to exhibit more clearly the variation in the pressure along the 
radius. 
The numerical results here given are shown graphically in Diagrams 7-10. YVe 
see at once that, save near the ends, the stresses ri\ (jxj), and rz do not differ very 
much from zero, which is the value they should have on the uniform pressure 
hypothesis. On the other hand, the axial pressure deviates throughout from 
uniformity over the cross-section, the total variation in any section remaining 
tolerably constant over nearly two-thirds of the length of the cylinder, and equal to 
about 25 per cent, of the mean pressure. 
Diagram 7.—Shoving Stress zz for Cylinder com- Diagram 8.—Showing Stress rr for Cylinder com¬ 
pressed between Rough Planes (second example). pressed between Rough Planes (second example). 
We notice also, that, near the centre of the cylinder, the greatest pressures occur 
at the centre of the cross-section; whereas the reverse takes place at the ends, the 
pressure at the perimeter of the ends amounting to about If times the mean 
pressure. 
If we hear in mind the suggestion of the first problem of the present paper, that 
surface shear depresses those parts of the material towards which it acts, it is easy to 
see, physically, why such a distribution of pressure should be expected in practice. 
