References:
•ASTM C90-06 - Standard Specification for Loadbearing Concrete Masonry Units
•NCMA TEK 14-01B - Section Properties of Concrete Masonry Walls
•NCMA TEK 14-13B - Concrete Masonry Wall Weights
Weights of Masonry Walls (pcf) - Using 140 pcf Grout
|
|
Grouted Cell Spacing |
||||||||
|---|---|---|---|---|---|---|---|---|---|---|
Block Type |
CMU Wall Thickness |
8"oc (solid) |
16"oc |
24"oc |
32"oc |
40"oc |
48"oc |
72"oc |
96"oc |
120"oc |
Lightweight Block (105 pcf) |
6" |
58 |
41 |
35 |
32 |
31 |
30 |
28 |
27 |
26 |
8" |
78 |
55 |
47 |
43 |
40 |
39 |
36 |
35 |
34 |
|
10" |
100 |
68 |
57 |
51 |
48 |
46 |
42 |
41 |
40 |
|
12" |
121 |
80 |
66 |
59 |
55 |
53 |
48 |
46 |
44 |
|
14" |
143 |
93 |
76 |
67 |
62 |
59 |
53 |
51 |
49 |
|
16" |
164 |
105 |
85 |
76 |
70 |
66 |
59 |
56 |
54 |
|
Medium Weight Block (115 pcf) |
6" |
60 |
43 |
37 |
34 |
33 |
32 |
30 |
29 |
28 |
8" |
81 |
57 |
49 |
45 |
43 |
41 |
39 |
37 |
37 |
|
10" |
103 |
71 |
60 |
54 |
51 |
49 |
46 |
44 |
43 |
|
12" |
125 |
84 |
70 |
63 |
59 |
56 |
51 |
49 |
48 |
|
14" |
147 |
96 |
80 |
71 |
66 |
63 |
57 |
54 |
53 |
|
16" |
168 |
109 |
90 |
80 |
74 |
70 |
63 |
60 |
58 |
|
Normal Weight Block (135 pcf) |
6" |
64 |
47 |
41 |
39 |
37 |
36 |
34 |
33 |
32 |
8" |
86 |
63 |
55 |
51 |
48 |
47 |
44 |
43 |
42 |
|
10" |
109 |
77 |
66 |
61 |
58 |
55 |
52 |
50 |
49 |
|
12" |
132 |
90 |
77 |
70 |
66 |
63 |
58 |
56 |
55 |
|
14" |
154 |
104 |
87 |
79 |
74 |
70 |
65 |
62 |
60 |
|
16" |
177 |
118 |
98 |
88 |
82 |
78 |
71 |
68 |
66 |
|
Weights of Masonry Walls (pcf) - Using 105 pcf Grout
|
|
Grouted Cell Spacing |
||||||||
|---|---|---|---|---|---|---|---|---|---|---|
Block Type |
CMU Wall Thickness |
8"oc (solid) |
16"oc |
24"oc |
32"oc |
40"oc |
48"oc |
72"oc |
96"oc |
120"oc |
Lightweight Block (105 pcf) |
6" |
49.5 |
36.8 |
32.3 |
30.0 |
29.3 |
28.5 |
27.0 |
26.3 |
25.5 |
8" |
66.3 |
49.0 |
43.0 |
40.0 |
37.8 |
37.0 |
34.8 |
34.0 |
33.3 |
|
10" |
84.0 |
59.8 |
51.5 |
47.0 |
44.8 |
43.3 |
40.3 |
39.5 |
38.8 |
|
12" |
100.8 |
69.8 |
59.3 |
54.0 |
51.0 |
49.5 |
45.8 |
44.3 |
42.8 |
|
14" |
118.0 |
80.3 |
67.5 |
60.8 |
57.0 |
54.8 |
50.3 |
48.8 |
47.3 |
|
16" |
134.8 |
90.3 |
75.3 |
68.5 |
64.0 |
61.0 |
55.8 |
53.5 |
52.0 |
|
Medium Weight Block (115 pcf) |
6" |
51.5 |
38.8 |
34.3 |
32.0 |
31.3 |
30.5 |
29.0 |
28.3 |
27.5 |
8" |
69.3 |
51.0 |
45.0 |
42.0 |
40.5 |
39.0 |
37.5 |
36.0 |
36.0 |
|
10" |
87.0 |
62.8 |
54.5 |
50.0 |
47.8 |
46.3 |
44.0 |
42.5 |
41.8 |
|
12" |
104.5 |
73.5 |
63.0 |
57.8 |
54.8 |
52.5 |
48.8 |
47.3 |
46.5 |
|
14" |
122.0 |
83.5 |
71.5 |
64.8 |
61.0 |
58.8 |
54.3 |
52.0 |
51.3 |
|
16" |
138.8 |
94.3 |
80.0 |
72.5 |
68.0 |
65.0 |
59.8 |
57.5 |
56.0 |
|
Normal Weight Block (135 pcf) |
6" |
55.8 |
42.8 |
38.3 |
36.8 |
35.3 |
34.5 |
33.0 |
32.3 |
31.5 |
8" |
74.3 |
57.0 |
51.0 |
48.0 |
45.8 |
45.0 |
42.8 |
42.0 |
41.3 |
|
10" |
93.0 |
69.0 |
60.8 |
57.0 |
54.8 |
52.5 |
50.3 |
48.8 |
48.0 |
|
12" |
111.5 |
79.8 |
70.0 |
64.8 |
61.8 |
59.5 |
55.8 |
54.3 |
53.5 |
|
14" |
129.3 |
91.5 |
78.8 |
72.8 |
69.0 |
66.0 |
62.3 |
60.0 |
58.5 |
|
16" |
147.8 |
103.0 |
88.0 |
80.5 |
76.0 |
73.0 |
67.8 |
65.5 |
64.0 |
|
These wall weights were adapted from TEK 14-13B, which lists values only for 140 pcf grouted walls. The weights were derived by isolating the grout component (fully-grouted wall weight minus non-grouted wall weight), scaling that grout weight by 105 pcf / 140pcf, and adding the adjusted grout weight back to the non-grouted wall weight baseline. |
||||||||||
Net Equivalent Solid Thickness (EST) - Mortar at Face Shells Only (in)
|
Grouted Cell Spacing |
|||||
|---|---|---|---|---|---|---|
CMU Wall Thickness |
8"oc (solid) |
16"oc |
24"oc |
32"oc |
40"oc |
48"oc |
6" |
5.625 |
3.883 |
3.258 |
2.942 |
2.750 |
2.625 |
8" |
7.625 |
5.167 |
4.275 |
3.833 |
3.567 |
3.392 |
10" |
9.625 |
6.233 |
4.983 |
4.367 |
3.992 |
3.742 |
12" |
11.625 |
7.275 |
5.683 |
4.892 |
4.408 |
4.092 |
14" |
13.625 |
8.325 |
6.383 |
5.408 |
4.833 |
4.442 |
16" |
15.625 |
9.367 |
7.083 |
5.933 |
5.250 |
4.792 |
Average Equivalent Solid Thickness (EST) - Mortar at Face Shells Only (in)
|
Grouted Cell Spacing |
|||||
|---|---|---|---|---|---|---|
CMU Wall Thickness |
8"oc (solid) |
16"oc |
24"oc |
32"oc |
40"oc |
48"oc |
6" |
5.625 |
4.108 |
3.633 |
3.392 |
3.250 |
3.158 |
8" |
7.625 |
5.483 |
4.808 |
4.475 |
4.267 |
4.133 |
10" |
9.625 |
6.733 |
5.825 |
5.367 |
5.092 |
4.908 |
12" |
11.625 |
7.917 |
6.75 |
6.175 |
5.825 |
5.592 |
14" |
13.625 |
9.108 |
7.683 |
6.975 |
6.550 |
6.267 |
16" |
15.625 |
10.292 |
8.617 |
7.783 |
7.275 |
6.942 |
Moment of Inertia of Net Cross-Sectional Area of Masonry, In (in4/ft)
|
Grouted Cell Spacing |
|||||
|---|---|---|---|---|---|---|
CMU Wall Thickness |
8"oc (solid) |
16"oc |
24"oc |
32"oc |
40"oc |
48"oc |
6" |
178.0 |
155.1 |
146.8 |
142.7 |
140.2 |
138.6 |
8" |
443.3 |
378.6 |
355.3 |
343.7 |
336.7 |
332.0 |
10" |
891.7 |
719.3 |
656.2 |
624.6 |
605.7 |
593.1 |
12" |
1571.0 |
1208.9 |
1076.3 |
1010.1 |
970.3 |
943.8 |
14" |
2529.4 |
1873.2 |
1632.9 |
1512.8 |
1440.7 |
1392.7 |
16" |
3814.7 |
2737.2 |
2342.7 |
2145.5 |
2027.1 |
1948.2 |
Radius of Gyration of the Average Cross-Sectional Area of Masonry, rave (in)
|
Grouted Cell Spacing |
||||||||
|---|---|---|---|---|---|---|---|---|---|
CMU Wall Thickness |
8"oc (solid) |
16"oc |
24"oc |
32"oc |
40"oc |
48"oc |
72"oc |
96"oc |
120"oc |
6" |
1.62 |
1.79 |
1.87 |
1.91 |
1.94 |
1.96 |
2.00 |
2.02 |
2.03 |
8" |
2.20 |
2.43 |
2.53 |
2.59 |
2.63 |
2.66 |
2.71 |
2.74 |
2.76 |
10" |
2.78 |
3.04 |
3.16 |
3.24 |
3.29 |
3.33 |
3.39 |
3.43 |
3.45 |
12" |
3.36 |
3.64 |
3.79 |
3.88 |
3.95 |
3.99 |
4.07 |
4.12 |
4.15 |
14" |
3.93 |
4.25 |
4.41 |
4.51 |
4.59 |
4.64 |
4.74 |
4.79 |
4.83 |
16" |
4.51 |
4.84 |
5.02 |
5.14 |
5.22 |
5.28 |
5.39 |
5.45 |
5.49 |
Face-Shell Thickness of Masonry, tfs (in)
Concrete Masonry Unit Wall Thickness |
|||||
|---|---|---|---|---|---|
6" |
8" |
10" |
12" |
14" |
16" |
1.00 |
1.25 |
1.25 |
1.25 |
1.25 |
1.25 |
Compression Section Width for Partially Grouted Walls, bw
|
|
Grouted Cell Spacing |
|||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
|
|
8"oc (solid) |
16"oc |
24"oc |
32"oc |
40"oc |
48"oc |
72"oc |
96"oc |
120"oc |
|
|
|
Number of open cells within the compression section, nopen |
|||||||||
|
|
0 |
1 |
2 |
3 |
4 |
5 |
8 |
11 |
14 |
|
CMU Wall Thickness |
Cell Width bcell |
Ratio of solid width-to-total width of the compression section, bw / b |
|||||||||
6" |
6.3125" |
1.000 |
0.605 |
0.474 |
0.408 |
0.369 |
0.342 |
0.299 |
0.277 |
0.264 |
|
8" |
6.3125" |
1.000 |
0.605 |
0.474 |
0.408 |
0.369 |
0.342 |
0.299 |
0.277 |
0.264 |
|
10" |
6.125" |
1.000 |
0.617 |
0.490 |
0.426 |
0.388 |
0.362 |
0.319 |
0.298 |
0.285 |
|
12" |
6.125" |
1.000 |
0.617 |
0.490 |
0.426 |
0.388 |
0.362 |
0.319 |
0.298 |
0.285 |
|
14" |
6.125" |
1.000 |
0.617 |
0.490 |
0.426 |
0.388 |
0.362 |
0.319 |
0.298 |
0.285 |
|
16" |
6.125" |
1.000 |
0.617 |
0.490 |
0.426 |
0.388 |
0.362 |
0.319 |
0.298 |
0.285 |
|
Definitions: |
|||||||||||
bcell |
= width of a single open cell |
||||||||||
nopen |
= total number of open (ungrouted) cells within the unit width of compression section |
||||||||||
|
= (Grout Spacing) / 8" - 1 |
||||||||||
b |
= unit width of compression section |
||||||||||
bw |
= unit width of the compression section minus the sum of the length of open (ungrouted) cells |
||||||||||
|
= b - nopen * bcell |
||||||||||
bw / b |
= (b - nopen * bcell) / b = 1 - (nopen * bcell) / b |
||||||||||