The concept of equivalent solid material is widely used for design analyses of
perforated metals. As applied herein, the equivalent strength of the perforated material is used in place of the strength of the solid material. By evaluating the effect of the perforations on the yield strength of the material, the equivalent yield strength of the perforated material, (S*), can be obtained as a function of the yield strength of the solid or unperforated material, S. Thus, the designer is able to determine safety margins for the perforated material for any geometry of application and any loading conditions. The S*/S ratios are the same for bending and stretching of the material. Having the S*/S ratio for the particular penetration pattern of interest, it is therefore easy for the designer to determine what thickness of the perforated material will provide strength equal to that of unperforated material.
Perforated material has different strengths depending on the direction of loading. Values of S*/S are given for the width (strongest) and the length (weakest) directions. The values for the length direction have been calculated conservatively.
|
Strength of Materials
Perforated with Round Holes in a Standard Staggered Pattern |
|
S*/S, Strength' |
|
IPA
Numbers |
Perforations |
Centers |
Holes
per sq. in. |
Open
Area |
Width
Direction |
Length
Direction |
|
100 |
.020" |
.043" |
625 |
20% |
.530 |
.465 |
|
106 |
1/16" |
1/8" |
74 |
23% |
.500 |
.435 |
|
107 |
5/64" |
7/64" |
97 |
46% |
.286 |
.225 |
|
108 |
5/64" |
1/8" |
74 |
36% |
.375 |
.310 |
|
109 |
3/32" |
5/32" |
47 |
32% |
.400 |
.334 |
|
110 |
3/32" |
3/16" |
33 |
23% |
.500 |
.435 |
|
112 |
1/10" |
5/32" |
47 |
36% |
.360 |
.296 |
|
113 |
1/8" |
3/16" |
33 |
40% |
.333 |
.270 |
|
114 |
1/8" |
7/32" |
24 |
29% |
.428 |
.363 |
|
115 |
1/8" |
1/4" |
19 |
23% |
.500 |
.435 |
|
116 |
5/32" |
7/32" |
24 |
46% |
.288 |
.225 |
|
117 |
5/32" |
1/4" |
19 |
36% |
.375 |
.310 |
|
118 |
3/16" |
1/4" |
19 |
51% |
.250 |
.192 |
|
119 |
3/16" |
5/16" |
12 |
33% |
.400 |
.334 |
|
120 |
1/4" |
5/16" |
12 |
58% |
.200 |
.147 |
|
121 |
1/4" |
3/8" |
8 |
40% |
.333 |
.270 |
|
122 |
1/4" |
7/16" |
6 |
30% |
.428 |
.363 |
|
123 |
1/4" |
1/2" |
5 |
23% |
.500 |
.435 |
|
124 |
3/8" |
1/2" |
5 |
51% |
.250 |
.192 |
|
125 |
3/8" |
9/16" |
4 |
40% |
.333 |
.270 |
|
126 |
3/8" |
5/8" |
3 |
33% |
.400 |
.334 |
|
127 |
7/16" |
5/8" |
3 |
45% |
.300 |
.239 |
|
128 |
1/2" |
11/16" |
2 |
47% |
.273 |
.214 |
|
129 |
9/16" |
3/4" |
2 |
51% |
.250 |
.192 |
|
130 |
5/8" |
13/16" |
2 |
53% |
.231 |
.175 |
|
131 |
3/4" |
1" |
1 |
51% |
.250 |
.192 |
Notes:
S* = Yield strength of perforated material
S = Yield strength of unperforated material
Length Direction = parallel to straight row of closely spaced holes
Width Direction = direction of stagger
|