290 
DR. G. B. JEFFERY ON PLANE STRESS AND 
If 0 is the angle between the radius to the point « l5 ,8 and the perpendicular to the 
straight edge, then 
• n sinh a x sin f3 
sin u — — - -— > 
cosh a x — cos p 
and if a x is large (74) reduces to /3/3 x = T(l+2 cos 20), which agrees with the known 
result for a hole in an infinite plate and gives compression numerically equal to T at 
the extremities of the diameter parallel to the tension, and tensions equal to 3T at 
the extremities of the perpendicular diameter. 
The numerical values of the coefficients P n , N„ are given in Tables I. and II. 
respectively. It will be noted from Table I. (that, as a x increases, P 2 tends to become 
Table I. 
a x . 
0-6. 
0-8. 
1-0. 
1-2. 
1-4. 
1-6. 
1-8. 
2-0. 
2-2. 
2-4. 
Pi 
0-3327 
0-1567 
0-0719 
0-0327 
0-0147 
0-0066 
0 0030 
0-0013 
0-0006 
0-0003 
-P-2 
3-5861 
2-0401 
1-2545 
0-7987 
0-5180 
0-3400 
0-2247 
0-1493 
0-0994 
0-0664 
-P 8 
2-2393 
1-0622 
0-5110 
0-2448 
0-1160 
0-0543 
0-0251 
0-0115 
0-0053 
0-0024 
-P 4 
1-3557 
0-4874 
0-1699 
0-0570 
0-0185 
0-0059 
0-0018 
0-0006 
0-0002 
o-oooi 
-P 5 
0-7602 
0-1970 
0-0474 
0-0108 
0-0024 
0-0005 
o-oooi 
-P« 
0-3964 
0-0713 
0-0116 
0-0018 
0-0003 
-Pr 
0-1934 
0-0237 
0-0026 
0-0003 
-P 8 
0-0891 
0-0073 
3-0005 
-P 9 
0-0391 
0-0022 
o-oooi 
-PlO 
0-0165 
0-0005 
-Pn 
0-0067 
0-0002 
-Pn 
0-0027 
- Pis 
o-ooio 
-Pl4 
0-0004 
o-oooi 
- 
-Pie 
o-oooi 
Table II. 
aj. 
0-6. 
0-8. 
1-0. 
1-2. 
1-4. 
1-6. 
1-8. 
2-0. 
' 
2-2. 
2-4. 
n 2 
1-4649 
0-7716 
0-4139 
0-2240 
0-1219 
0-0665 
0-0364 
0-0199 
0-0109 
0-0060 
n 3 
0-7457 
0-2647 
0-0914 
0-0306 
o-oioo 
0-0032 
o-ooio 
0-0003 
o-oooi 
n 4 
0-3238 
0-0719 
0-0148 
0-0029 
0-0005 
o-oooi 
n 6 
0-1232 
0-0162 
0-0019 
0-0002 
n 6 
0-0421 
0-0032 
0-0002 
n 7 
0-0131 
0-0005 
n 8 
0-0038 
o-oooi 
n 9 
o-ooio 
Nio 
0-0003 
1 N n 
o-oooi 
*- 
