F SPAN IN FEET. Area of seet'n per sq. foot of floor. Area of Section per square foot of floor for each wood. . .10 . .11 . .12 . .13 . .14 . .15 Hemlock Sprue orW. Pine. WhiteOak. Georgia Pine. Inches. Inches. Inches. Inches. Inches. 9 9 ... ... ... 9 ... 9 ... ... 9 ... ... 9 ... 10.3 10.3 ... ... ... 10.3 ... 10.3 ... ... 10.3 ... ... 10.3 ... 12 12 ... ... ... 12 12 ... ... ... 12 ... 12 ... ... 12 ... 12 ... ... 9 ... ... ... ... 12 ... ... 12 ... 12 ... ... 12 ... 13.7 13.7 ... ... ... 13.7 ... 13.7 ... ... 10.3 ... ... .... 10.3 13.7 ... ... 13.7 ... 16 16 ... ... ... 16 ... 16 ... ... 12 ... ... ... 12 12 ... ... ... 12 16 ... ... 16 ... 13.7 ... ... ... 13.7 16 ... ... ... 16 13.5 13.5 ... ... ...

### Table XII. Wooden Floor-Beams

[Calculated For 90 Founds Per Square Foot Of Floor.]

( Continued).

Table XII(Continued).

### XIV For Floors

or Iron Beams; but length of span in feet must not exceed twice the depth

### Table XIV. Iron I Beams For Floors

For Steel Beams, spone one-quarter listrnce (between in centres) larger than for Iron Beams; but length of span in feet must not exceed twice the depth of beam in inches, or deflection will be too great for plastering.

### XIX. Tables XX To XXV

 II ARE. UNIFORM ABOVE AND BELOW THE NEUTRAL AXIS. MANNER OF LOADING. TO OBTAIN SAFE LOAD IN FOUNDS. LENGTH OF SPANNOT TO CRACK PLASTERINGMUST NOT EXCEED. GREATEST ACTUAL DEFLECTION WILL BE. For Iron. For Steel. For Iron. For Steel. ) w1 = w11 = v/2 2/3. L or L=2 3/16.d L = l7/8.d δ=L2/72 3/4.d δ= L2/62 1/2.d w1 + w11 =v/1 1/3. L w111 = w1111 = v/2. L or: - L = 2. d L = l3/4.d δ = L2/67.d δ = L2/57 2/3.d w111+w1111 = v/L

ables XX to XXV; u = uniform load in lbs.; w = centre load in lbs.; w1,=-. w11also w111=conoencarfully, as steel varies greatly in strength. For equal deflections of steel and iron, add hetransverse values, the moduli of rupture used were: for iron, 12000 pounds per square as follows: - In case of uniform load deduct entire weight of beam; in case of centre m each load 3/8 the weight of beam; in case of loads at quarters of span, deduct from same dimensions. In ordering steel or iron, give either the required dimensions or the ble represent the following Rolling Mills: B - PHCENIX IRON COMPANY, Philadelphia, Pa. D - Pottsville'iron And Steel Company, Pottsville, Pa. pa. F - Passaic Rolling Mill Company, Passaic, N. J.

;es the Mill which rolls the exact shape given in the Table; the other letters give the

### Table XIX. Explaining Use Of Tables XX TO XXV

How to Use Transverse Value (v) for Sections which and Uniform above and below the Neutral Axis.

 MANNER OF LOADING. TO OUTAIN SAFE LOADIN POUNDS. LENGTH NOT TO RACE PLASTERING MUST NOT EXCEED. CHEATEST ACTUALDEFLECTION WILL BE For Iron. For Steel. For Iron. For Steel. u = v/L L = 2 1/4.d L = 2.d δ = L2/75.d δ = L2/64 1/2.d w = v/2.L L = 2 4/5.d L = 2 2/5.d δ = L2/93 3/4.d δ = L2/80 2/3.d
 MANNER OF LOADING. TO OBTAIN SAFE LOAD IN POUNDS. LENGTH OF SPANNOT TO CRACK PLASTERINGBUST SOT EXCEED, GREATEST ACTUAL REFLECTION WILL BE. For Iron. For Steel. For Iron. For Steel. w1 = w11 = v/2 2/3.L or: - L=2 3/16.d L = 1 7/8.d δ = L2/72 3/4.d δ =L2/62 1/2.d w1+w11 = v/1 1/3.L w111=w1111 = v/2.L or: - L = 2.d L. = l 3/4.d δ = L2/67.d δ =L2/57 2/3.d w111+w1111=v/L

d = depth in Indies; L =length in feet; δ = deflection in Inches; v = transverse value, as given in Tables XX to XXV; n : uniform load in lbs.; w=centre load in lbs.; w1 - w111. also w111 = w1111 concen-trated; loads in lbs.

Note. - It the transverse values (w), given for steel, are used, teal each piece carefully, as steel varies greatly in strength. For equal deflections of steel and iron, add only 7 1/2% to iron transverse values, instead of 2 i as given in Tables. In calculating the transverse values, the moduli of rupture used were: for iron, 12000 pounds per square inch,and for steel, 15000 pounds per square inch.

From the "Safe Load" as obtained above, deduct the weight of beam in pounds, as follows: - In ease of uniform load deduct entire weight of beam; in case of centre load, deduct one-half the weight of beam; in case of loads at thirds of span, deduct from each load 3/5 the weight, of beam; in case of loads at quarters of span, deduct from each load 1/2 the weight of be beam,

Steel sections will be slightly heavier (about 1%) than iron sections of exactly the same dimensions. In ordering steel or iron, give either the required dimensions or the required weight of section, never both.

The capital letters in the first column headed -Mills Rolling Shape" in each Table represent the following Rolling Mills: A - New Jersey Steel And Iron Company, Trenton, N. J. R - Phoinix Iron Company, Philadelphia, Pa.

C - Pencoyd Iron Works, Philadelphia, Pa. D - Pottsville Iron And Steel Company, Pottsville, Pa.

E - Union Iron Mills And Homestead Steel Works, Pittsburgh, Pa. F - Passaic Rolling Mill Company, Passaic, N. J.

In the columns headed "Mills Rolling Shape" the first letter on each line indicates the Mil! which rolls the exact shape given in the Table; the other letters give the Mills which roll an approximately similar shape.

In getting the areas of parts of sections, they were taken as shown below: beam.

### Deck Beam XX Steel I Beams

of this Table, see Table XIX.)

 tal to Web. (r) Square of Radius of Gyration.(ρ2) Transverse Value (v) in lbs. For Iron. For Steel. 6 60.67 1320000 1650000 6 60.42 1160000 1450000 6.8 61.99 990000 1238000 4.6 59.68 917000 1146000 9 34.80 552000 690000 8.5 35.32 748000 935000 7.5 35.15 460000 575000 8 32.52 864000 1080000 9 31.24 800000 1000000 2.5 34.70 740000 925000 4.5 31.47 655000 819000 0.4 35.20 563000 704000 0.5 35.76 556000 695000 7.3 34.40 458000 573000 3.5 23.32 508000 635000 3 22.60 504000 630000 7 23.35 376000 470000 5.7 18.92 454000 567000 8.7 22.46 510000 637000 7.1 22.60 377000 471000 6.9 23.98 375000 469000 6.3 21.80 290000 363000 8.2 24.22 306000 382000 4.5 17.49 356000 445000 5.3 17.77 282000 353000 .4 17.39 251000 314000 .2 18.42 250000 312000 7.5 13.91 300000 375000 4.7 15.52 278000 347000 5.2 15.35 258000 322000 9.7 16.40 237000 297000 2 12.63 336000 420000 5.3 11.70 282000 353000 5.5 12.23 268000 335000 6 11.83 208000 260000 5.4 13.10 211000 264000 4.9 13.16 199000 249000 0.9 13.41 167000 209000 2.6 8.64 181000 226000 1 10.44 168000 210000
 Axis Parallel to Web. Moment of Intertia.(r) (r) Square of Radius of Cyration.(ρ2) Transverse Value (v) in lbs. For Iron. For Steel. 46.50 13.78 1.71 110000 137800 51.78 16.57 2.16 132600 165700 26.62 8.87 1.33 71000 88700 31.50 10.08 1.64 80600 100800 15.29 6.12 1.02 49000 61200 27.46 9.55 1.37 76000 95500 11.64 4.66 .94 37000 46600 40.84 13.90 1.62 111200 139000 29.90 10.29 1.25 82300 103000 33.79 12.12 1.69 97000 121000 20 7.50 1.02 60000 75000 18.34 7.34 1.22 58700 73400 16.91 6.60 1.17 52800 66000 13.13 5.34 1.05 42700 53400 25.41 9.24 1.52 74000 92400 20.90 7.96 1.23 63700 80000 11.54 4.82 .93 38500 48200 15.50 6.09 .86 48700 61000 24.08 8.76 1.42 70100 87600 12.98 5.46 1.04 43700 54600 16.76 6.10 1.43 49000 61000 8.74 4 .87 32000 40000 11.66 4.44 1.23 35500 44400 15.80 6.32 1.18 50500 63200 9.43 4.19 .90 33500 41900 8.01 3.53 .85 28200 35300 8.09 3.59 .91 28700 35900 11.30 4.74 .83 37900 47400 10.64 4.60 .96 36800 46000 11.08 4.79 1.05 38300 48000 8.09 3.69 .90 29500 36900 23.16 8.62 1.54 69000 86000 14 5.67 1.02 45400 56700 11.23 4.99 .91 40000 49900 7.14 3.30 .72 26400 33000 8.44 3.86 .92 30900 38600 7.35 3.27 .86 26000 32700 4.92 2.46 .70 19700 24600 6.96 3.25 .67 26000 32500 7.55 3.35 .93 26800 33500

### Table XX. List Of Iron And Steel I Beams

(For Information- as to the Use of This Table, see Table XIX.)

 MILLS ROLLING SEALE Depth of Beam. (d) Weight perYard. Width ofFiancee. (b) Thickness ofWeb. Area of each Flange, Area of Web. Total Area.(a) Axis Normal to Web. Axis Parallel to Web. Moment ofIntertia.(r) Moment ofRestance.(r) square ofResistancρ2 Transverse Value (v) in lbs. Moment ofIntertia(r) Moment of Resistance(r) Square ofRedins. ofGymlton(ρ2) Transverse Value (v) in lbs. For Iron. For Steel. For Iron. For Steel. A.B......... 20 272 6.75 0.69 7.87 11.46 27.20 1650.3 165 60.67 1320000 1650000 46.50 13.78 1.71 110000 137800 E........... 20 240 7 0.60 6.68 10.64 24 1450 145 60.42 1160000 1450000 51.78 16.57 2.16 132600 165700 A,B......... 20 200 6 0.50 5.65 8.67 19.97 1238 123.8 61.99 990000 1288000 26.62 8.87 1.33 71000 88700 E........... 20 192 6.25 0.50 5.09 9.02 19.20 1146 114.6 59.68 917000 1146000 31.50 10.08 1.64 80600 100800 A.F......... 15 9/16 150 5 0.50 4.34 6.36 15.04 523.5 69 34.80 552000 690000 15.29 6.12 1.02 49000 61200 A.F................. 15 1/8 200 5.75 0.60 6.44 7.11 20.02 707.1 93.5 35.32 748000 935000 27.46 9.55 1.37 76000 95500 A........... 15 1/8 125 5 0.42 3.37 5.62 12.36 434.5 57.5 35.15 460000 575000 11.64 4.66 .94 37000 46600 D................... 15 250 5.875 0.875 7.22 10.56 25 813 108 32.52 864000 1080000 40.84 13.90 1.62 111200 139000 E........... 15 240 5.81 0.93 6.29 11.42 24 750 100 31.24 800000 1000000 29.90 10.29 1.25 82300 103000 D,B,C,E.... 15 200 5.56 0.625 8.06 7.86 20 694 92.5 34.70 740000 925000 33.79 12.12 1.69 97000 121000 E........... 15 195 5.33 0.77 4.84 9.82 19.50 614 81.5 31.47 655000 819000 20 7.50 1.02 60000 75000 D,B,E....... 15 150 5 0.47 4.47 6.0G 15 528 70.4 35.20 563000 704000 18.34 7.34 1.22 58700 73400 C........... 15 145 5.125 0.44 4.48 5.59 14.55 621.2 69.5 35.70 556000 695000 16.91 6.60 1.17 52800 66000 D,B,E....... 15 125 4.875 0.44 3.35 5.80 12.50 430 57.3 34.40 458000 573000 13.13 5.34 1.05 42700 58400 A.......... 12 5/16 170 5.50 0.60 5.47 6.83 16.77 391.2 63.5 23.32 508000 635000 25.41 9.24 1.52 74000 92400 F........... 12 1/4 170 5.25 0.66 5.66 5.88 17 385 63 22.60 504000 630000 20.90 7.96 1.23 63700 80000 A,F......... 12 1/2 125 4.79 0.47 3.78 4.77 12.33 288 47 23.35 376000 470000 11.54 4.82 .93 38500 48200 E........... 12 180 5.09 0.96 4.26 9.48 18 340 56.7 18.92 454000 567000 15.50 6.09 .86 48700 61000 B,C,D....... 12 170 5.50 0.59 6.77 5.4G 17 381.9 63.7 22.46 510000 637000 24.08 8.76 1.42 70100 875000 B,D,E....... 12 125 4.75 0.49 3.80 4.90 12.50 282.6 47.1 22.60 377000 471000 12.38 5.46 1.04 43700 54600 A,C......... 12 120 5.50 0.39 3.87 3.99 11.73 281.3 46.9 23.98 375000 469000 16.76 6.10 1.43 49000 61000 D........... 12 100 4.44 0.44 2.71 4.58 10 218 36.3 21.80 290000 363000 8.74 4 .87 32000 40000 A,B,E....... 12 96 5.25 0.31 3.09 3.28 9.46 229.2 38.2 24.22 306000 382000 11.66 4.44 1.23 35500 44400 A,B,C,D,E,F, 101 135 5 0.47 4.84 3.68 13.36 238.7 44.5 17.49 356000 445000 15.80 0.32 1.18 50500 63200 A,B,C,D,F... 10 1/2 105 4.50 0.375 3.67 3.10 10.14 185.6 85.3 17.77 282000 353000 9.43 4.19 .90 33500 41900 E........... 10 1/2 95 4.54 0.41 2.96 3.58 9.50 165 31.4 17.39 251000 314000 8.01 3.53 .85 28200 35300 A,B,C,D,F... 10 1/2 90 4.50 0.31 3.11 2.68 8.90 104 31.2 18.42 250000 312000 8.09 3.59 .91 28700 35900 E........... 10 135 4.77 0.77 3.67 6.16 13.50 187 37.5 13.91 300000 375000 11.30 4.74 .83 37900 47400 C ........... 10 112 4.625 0.50 3.61 3.95 11.17 173.6 31.7 15.52 278000 347000 10.64 4.60 .96 36800 46000 D........... 10 105 1.625 0.50 3.24 4.02 10.50 161 32.2 15.35 258000 322000 11.08 4.79 1.05 38300 48000 C,D,E....... 10 90 4.375 0.34 3.14 2.76 9.04 148.3 29.7 16.40 237000 297000 8.09 3.69 .90 29500 36900 B,E......... 9 150 5.375 0.60 5.59 3.82 15 189.1 42 12.63 336001 420000 23.16 8.62 1.54 69000 86000 E ........... 9 135 1.94 0.75 4.22 6.0G 13.50 159 35.3 11.70 282000 353000 14 5.67 1.02 45400 56700 A........... 9 125 4.50 0.57 4.41 3.51 12.33 150.8 33.5 12.23 268000 335000 11.23 4.99 .91 40000 49900 E........... 9 99 4.33 0.58 2.85 4.20 9.90 117 26 11.83 208000 260000 7.14 3.30 .72 26400 33000 CD......... 9 90 4.375 0.41 3.07 2.93 9.07 118.8 26.4 13.10 211000 264000 8.44 3.86 .92 S0900 38600 A,B,D,F..... 9 85 4.50 0.375 2.93 2.64 8.50 111.9 24.9 13.16 199000 249000 7.35 3.27 .86 26000 32700 A,B,C,D,E,F, 9 70 4 0.30 2.40 2.20 7 93.9 20.9 13.41 167000 209000 4.92 2.46 .70 19700 24600 E........... 8 105 4.29 0.79 2.74 5.02 10.50 90.4 22.6 8.64 181000 226000 6.96 3.25 .67 26000 32500 A,B,C,D,F... 8 80 4.50 0.375 2.82 2.39 8.03 83.9 21 10.44 168000 210000 7.55 3.35 .93 26800 38500 A,B,C,D,E,F, 8 G5 4 0.30 2.21 1.95 6.37 67.4 16.9 10.58 135000 169000 4.55 2.27 .71 18200 22700 E........... 7 75 3.91 0.53 2.29 2.92 7.50 54.3 15.5 7.24 124000 155000 4.87 2.50 .66 20000 25000 B........... 7 69 4 0.375 2.47 1.96 6.90 55.7 15.9 8.08 127000 159000 5.42 2.71 .785 21680 27100 CD......... 7 65 3.81 0.44 2.08 2.42 6.58 49.8 14.2 7.56 113800 142000 4.15 2.18 .62 17400 21800 F........... 7 60 3.50 0.40 1.88 2.24 6 45 12.9 7.50 103200 129000 3.15 1.80 .53 14400 18000 A,B.D,E .... 7 55 3.75 0.30 1.90 1.70 5.50 44.3 12.7 8.05 101001 127000 3.90 2.08 .71 16600 20800 G........... 7 52 3.61 0.234 1.92 1.30 5.14 43.1 12.3 8.35 98500 123000 3.43 1.90 .67 15200 19000 A........... 6 120 5.25 0.625 4.78 2.28 11.84 64.9 21.6 5.48 172000 216000 18.59 7.08 1.57 56600 70800 A,F......... 6 90 5 0.50 3.31 2.08 8.70 49.8 16.6 5.72 132001 106000 10.78 4.32 1.24 34500 43200 E.......... 6 54 3.46 0.46 1.61 2.18 5.40 28.4 9.5 5.29 76000 950000 2.51 1.45 .46 11600 14500 A,B,C,D,F... 6 50 3.50 0.30 1.77 1.37 4.91 29 9.6 5.90 76800 96000 2.74 1.57 .56 12500 15700 A.B,C,D,E,F, 6 40 3 0.25 1.42 1.17 4.01 23.5 7.8 5.86 62400 78000 1.61 1.07 .40 8500 10700 A,D,E,F..... 5 40 9 0.31 1.36 1.18 3.90 15.4 6.1 3.95 48800 61000 1.68 1.12 .43 9000 11200 B........... 5 36 3 0.30 1.20 1.20 3.60 14.9 5.96 4.14 47700 59600 1.74 1.16 .483 9260 11580 C............. 5 34 2.844 0.31 1.06 1.26 3.38 13.4 5.4 3.96 42800 53500 1.21 .85 .36 6800 8500 A,B,C,D,E,F, 5 30 2.75 0.25 .99 1.01 2.99 12.1 4.8 4.04 38400 48000 1.04 .76 .35 6000 7600 A,F......... 4 37 3 0.S1 1.40 .86 3.66 9.2 4.6 2.51 36800 46000 1.74 1.16 .48 9500 11G00 A,B,D,E,F .. 4 30 2.75 0.25 1.08 .75 2.91 7.5 3.75 2.57 30000 37500 1.11 .81 .38 6500 8100 C........... 4 28 2.75 0.25 1.07 .76 2.90 7.7 3.84 2.65 30700 38400 1.17 .85 .40 6800 8500 D,E......... 4 24 2.25 0.81 .71 .98 2.40 5.6 2.80 2.33 22400 28000 .58 .52 .22 4160 5200 A,B,C,D,F .. 4 18 2 0.19 .58 .61 1.77 4.5 2.25 2.54 18000 22500 .31 .31 .175 2500 8100 E..... 3 27 2.52 0.39 .93 .84 2.70 3.54 2.36 1.32 18900 23600 .84 .67 .31 5360 6700 C...... 3 23 2.50 0.25 .86 .53 2.25 3.29 2.16 1.46 17300 21600 .77 .62 .35 4960 6200 E........... 3 21 2.32 0.19 .85 .40 2.10 3.09 2.06 1.46 16500 20600 .55 .47 .30 3760 4700 C........... 3 17 2.25 0.156 .68 .35 1.71 2.66 1.77 1.56 14200 17700 .48 .43 .28 3440 4300 A........... 1 1/4 5 1/4 1.50 0.125 .19 .14 .52 .135 .21 .26 2160 .06 .092 .013 ...... 920